{
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  "signature": "sha256:b3ff8e49a8469c871a8eebab23bd7b6cb31116092106438034b148a1b1d4e853"
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 "nbformat": 3,
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import pandas as pd\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "import os"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "file_name = \"flying-etiquette.csv\"\n",
      "\n",
      "data = pd.read_csv(file_name)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "data.head()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>RespondentID</th>\n",
        "      <th>How often do you travel by plane?</th>\n",
        "      <th>Do you ever recline your seat when you fly?</th>\n",
        "      <th>How tall are you?</th>\n",
        "      <th>Do you have any children under 18?</th>\n",
        "      <th>In a row of three seats, who should get to use the two arm rests?</th>\n",
        "      <th>In a row of two seats, who should get to use the middle arm rest?</th>\n",
        "      <th>Who should have control over the window shade?</th>\n",
        "      <th>Is itrude to move to an unsold seat on a plane?</th>\n",
        "      <th>Generally speaking, is it rude to say more than a few words tothe stranger sitting next to you on a plane?</th>\n",
        "      <th>...</th>\n",
        "      <th>Is itrude to wake a passenger up if you are trying to walk around?</th>\n",
        "      <th>In general, is itrude to bring a baby on a plane?</th>\n",
        "      <th>In general, is it rude to knowingly bring unruly children on a plane?</th>\n",
        "      <th>Have you ever used personal electronics during take off or landing in violation of a flight attendant's direction?</th>\n",
        "      <th>Have you ever smoked a cigarette in an airplane bathroom when it was against the rules?</th>\n",
        "      <th>Gender</th>\n",
        "      <th>Age</th>\n",
        "      <th>Household Income</th>\n",
        "      <th>Education</th>\n",
        "      <th>Location (Census Region)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td> 3436139758</td>\n",
        "      <td>  Once a year or less</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>   NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td>                                               NaN</td>\n",
        "      <td>                            NaN</td>\n",
        "      <td>                                               NaN</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>...</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td> NaN</td>\n",
        "      <td>  NaN</td>\n",
        "      <td>   NaN</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td>             NaN</td>\n",
        "      <td>     NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td> 3434278696</td>\n",
        "      <td>  Once a year or less</td>\n",
        "      <td> About half the time</td>\n",
        "      <td>  6'3\"</td>\n",
        "      <td> Yes</td>\n",
        "      <td>                    The arm rests should be shared</td>\n",
        "      <td> The arm rests should be shared</td>\n",
        "      <td>          Everyone in the row should have some say</td>\n",
        "      <td> No, not rude at all</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td>...</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td>  No</td>\n",
        "      <td>  No</td>\n",
        "      <td> Male</td>\n",
        "      <td> 30-44</td>\n",
        "      <td>                 NaN</td>\n",
        "      <td> Graduate degree</td>\n",
        "      <td> Pacific</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td> 3434275578</td>\n",
        "      <td>  Once a year or less</td>\n",
        "      <td>             Usually</td>\n",
        "      <td>  5'8\"</td>\n",
        "      <td>  No</td>\n",
        "      <td>      Whoever puts their arm on the arm rest first</td>\n",
        "      <td> The arm rests should be shared</td>\n",
        "      <td> The person in the window seat should have excl...</td>\n",
        "      <td> No, not rude at all</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td>...</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>      Yes, very rude</td>\n",
        "      <td>  No</td>\n",
        "      <td>  No</td>\n",
        "      <td> Male</td>\n",
        "      <td> 30-44</td>\n",
        "      <td> $100,000 - $149,999</td>\n",
        "      <td> Bachelor degree</td>\n",
        "      <td> Pacific</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td> 3434268208</td>\n",
        "      <td>  Once a year or less</td>\n",
        "      <td>              Always</td>\n",
        "      <td> 5'11\"</td>\n",
        "      <td>  No</td>\n",
        "      <td>                    The arm rests should be shared</td>\n",
        "      <td> The arm rests should be shared</td>\n",
        "      <td>          Everyone in the row should have some say</td>\n",
        "      <td> No, not rude at all</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td>...</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>      Yes, very rude</td>\n",
        "      <td>  No</td>\n",
        "      <td>  No</td>\n",
        "      <td> Male</td>\n",
        "      <td> 30-44</td>\n",
        "      <td>        $0 - $24,999</td>\n",
        "      <td> Bachelor degree</td>\n",
        "      <td> Pacific</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> 3434250245</td>\n",
        "      <td> Once a month or less</td>\n",
        "      <td> About half the time</td>\n",
        "      <td>  5'7\"</td>\n",
        "      <td>  No</td>\n",
        "      <td> The person in the middle seat gets both arm rests</td>\n",
        "      <td>            The person in aisle</td>\n",
        "      <td>          Everyone in the row should have some say</td>\n",
        "      <td> No, not rude at all</td>\n",
        "      <td> No, not at all rude</td>\n",
        "      <td>...</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>  Yes, somewhat rude</td>\n",
        "      <td>      Yes, very rude</td>\n",
        "      <td> Yes</td>\n",
        "      <td>  No</td>\n",
        "      <td> Male</td>\n",
        "      <td> 30-44</td>\n",
        "      <td>   $50,000 - $99,999</td>\n",
        "      <td> Bachelor degree</td>\n",
        "      <td> Pacific</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "<p>5 rows \u00d7 27 columns</p>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "   RespondentID How often do you travel by plane?  \\\n",
        "0    3436139758               Once a year or less   \n",
        "1    3434278696               Once a year or less   \n",
        "2    3434275578               Once a year or less   \n",
        "3    3434268208               Once a year or less   \n",
        "4    3434250245              Once a month or less   \n",
        "\n",
        "  Do you ever recline your seat when you fly? How tall are you?  \\\n",
        "0                                         NaN               NaN   \n",
        "1                         About half the time              6'3\"   \n",
        "2                                     Usually              5'8\"   \n",
        "3                                      Always             5'11\"   \n",
        "4                         About half the time              5'7\"   \n",
        "\n",
        "  Do you have any children under 18?  \\\n",
        "0                                NaN   \n",
        "1                                Yes   \n",
        "2                                 No   \n",
        "3                                 No   \n",
        "4                                 No   \n",
        "\n",
        "  In a row of three seats, who should get to use the two arm rests?  \\\n",
        "0                                                NaN                  \n",
        "1                     The arm rests should be shared                  \n",
        "2       Whoever puts their arm on the arm rest first                  \n",
        "3                     The arm rests should be shared                  \n",
        "4  The person in the middle seat gets both arm rests                  \n",
        "\n",
        "  In a row of two seats, who should get to use the middle arm rest?  \\\n",
        "0                                                NaN                  \n",
        "1                     The arm rests should be shared                  \n",
        "2                     The arm rests should be shared                  \n",
        "3                     The arm rests should be shared                  \n",
        "4                                The person in aisle                  \n",
        "\n",
        "      Who should have control over the window shade?  \\\n",
        "0                                                NaN   \n",
        "1           Everyone in the row should have some say   \n",
        "2  The person in the window seat should have excl...   \n",
        "3           Everyone in the row should have some say   \n",
        "4           Everyone in the row should have some say   \n",
        "\n",
        "  Is itrude to move to an unsold seat on a plane?  \\\n",
        "0                                             NaN   \n",
        "1                             No, not rude at all   \n",
        "2                             No, not rude at all   \n",
        "3                             No, not rude at all   \n",
        "4                             No, not rude at all   \n",
        "\n",
        "  Generally speaking, is it rude to say more than a few words tothe stranger sitting next to you on a plane?  \\\n",
        "0                                                NaN                                                           \n",
        "1                                No, not at all rude                                                           \n",
        "2                                No, not at all rude                                                           \n",
        "3                                No, not at all rude                                                           \n",
        "4                                No, not at all rude                                                           \n",
        "\n",
        "                                                     ...                                                      \\\n",
        "0                                                    ...                                                       \n",
        "1                                                    ...                                                       \n",
        "2                                                    ...                                                       \n",
        "3                                                    ...                                                       \n",
        "4                                                    ...                                                       \n",
        "\n",
        "  Is itrude to wake a passenger up if you are trying to walk around?  \\\n",
        "0                                                NaN                   \n",
        "1                                No, not at all rude                   \n",
        "2                                 Yes, somewhat rude                   \n",
        "3                                 Yes, somewhat rude                   \n",
        "4                                 Yes, somewhat rude                   \n",
        "\n",
        "  In general, is itrude to bring a baby on a plane?  \\\n",
        "0                                               NaN   \n",
        "1                               No, not at all rude   \n",
        "2                                Yes, somewhat rude   \n",
        "3                                Yes, somewhat rude   \n",
        "4                                Yes, somewhat rude   \n",
        "\n",
        "  In general, is it rude to knowingly bring unruly children on a plane?  \\\n",
        "0                                                NaN                      \n",
        "1                                No, not at all rude                      \n",
        "2                                     Yes, very rude                      \n",
        "3                                     Yes, very rude                      \n",
        "4                                     Yes, very rude                      \n",
        "\n",
        "  Have you ever used personal electronics during take off or landing in violation of a flight attendant's direction?  \\\n",
        "0                                                NaN                                                                   \n",
        "1                                                 No                                                                   \n",
        "2                                                 No                                                                   \n",
        "3                                                 No                                                                   \n",
        "4                                                Yes                                                                   \n",
        "\n",
        "  Have you ever smoked a cigarette in an airplane bathroom when it was against the rules?  \\\n",
        "0                                                NaN                                        \n",
        "1                                                 No                                        \n",
        "2                                                 No                                        \n",
        "3                                                 No                                        \n",
        "4                                                 No                                        \n",
        "\n",
        "  Gender    Age     Household Income        Education Location (Census Region)  \n",
        "0    NaN    NaN                  NaN              NaN                      NaN  \n",
        "1   Male  30-44                  NaN  Graduate degree                  Pacific  \n",
        "2   Male  30-44  $100,000 - $149,999  Bachelor degree                  Pacific  \n",
        "3   Male  30-44         $0 - $24,999  Bachelor degree                  Pacific  \n",
        "4   Male  30-44    $50,000 - $99,999  Bachelor degree                  Pacific  \n",
        "\n",
        "[5 rows x 27 columns]"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "data[\"Household Income\"].value_counts()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "45-60    275\n",
        "> 60     258\n",
        "30-44    254\n",
        "18-29    220\n",
        "dtype: int64"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now let's do some filters and crosstab stuff"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "gender_edu_demos = data.groupby(\"Location (Census Region)\")\n",
      "questions = gender_edu_demos.first().columns"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for q in questions:\n",
      "    if q not in [\"RespondentID\",\"Questions\"]:\n",
      "        df = pd.DataFrame()\n",
      "        for name, group in gender_edu_demos:\n",
      "            df[name] = group[q].value_counts(normalize=True)\n",
      "\n",
      "        df.plot(kind=\"barh\", title=q)\n",
      "        plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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koLy8HA8fPhRrs6amBiEhIRAKhQgNDYW2tjZ27NjBXWpNSkrC+fPnUVVVhcLC\nQgwYMABxcXEAmuaYjo+PR3l5OUpKSrB8+XK1mA+axuJuI3keU9JkAoEAa09LT+pNCdr9JUYkH01P\nEB0xfkljG+f9/ajdT3HbOorPz/yihIQEfPfdd+jevTsAYNiwYVi4cCG3/vHjxzA3N0d1dTXc3d0h\nEAhgY2OD8vJy9O/fHzk5Odw9KS+KiIiAn58fgoKC5Ip93bp12L9/P0JDQzFnzhwuUZ85cwafffYZ\njh49Ch0dHURHR8PY2JibD9rW1hZ5eXkAxBM0AOzfvx9ZWVlISEgQOwYXLlzAvn37YGRkBDc3NyQn\nJ8Pe3r7FOL/88ks8efJEJNE/b+bMmQgNDYW3tzfy8/MxefJknD17VuY233rrLZw5c0as05KUlIT/\n/Oc/OHLkiNjZiadPn0JXVxe6urq4du0aZs6cid9++02kTHBwMFatWsXNwPUiGoubqFS0v/SbxIyq\ntPHo/BUAgH53axjad39ZYclEk5MbQPGrG4ZhMGPGDKmnuLW0tJCeno68vDzo6upCKBTCxsYGpqam\n8PLywoQJE+Dv748xY8bAwkL8B4Ei/aaoqCjMmjULW7duhb+/P9LT09GpUyf89NNPmDRpEnR0dAAA\n4eHheP/997kE3RqWZSXGwzAMfHx8YGzcNFkOn89HeXm53HG/KDMzE0KhkJsd7NmzZygrK4OZmVmb\n2mQYBkFBQRIvHRgZGaGgoACXL19Gfn4+SkpK2rwfykAJuo06Qu+5WbG39A908XP/7//9ZrVL0IQo\nm7QkeuPGDcyZMwczZsyAq6srLCwsRMpu3boVQqEQJ06cgLe3N5KTk0XmgwYUvwxmbGyMxYsXIysr\nC5cuXeIeYW1sbOTKNDY2ylV/S2UV+SHh6OiIw4cPS12vra2NpKQkLgkro83Wtt23bx8OHDiAGTNm\nYMiQIQrXr2w0FjfpEDR9LGiKX3NkZmbCx8cHYWFhMDExQV5enkhiaGhogJWVFcLCwuDk5IRbt26J\nbK+vr48HDx4AEE2sLamvr8ezZ03TcFZUVOD+/ftwdHQEAHh5eWH//v2ora0FAOzcuVPkhi8dHR1U\nVlYCgNhpXQDQ09OTO56WeHp6cjeeNbt//z73f39/f5GOj7xt6unpcfNvP3/cW0rsaWlpiIqKwpgx\nY/D3339LLfuyrwhTD5rIrM+3/5WpXIOJGfL+fgSAnislymViqo8J4f3btX5Z7d69G6mpqQAAJycn\n7pTsmDHlwzr2AAAgAElEQVRjMHXqVJw9exYuLi4YNGgQlzAaGxsREhKC+vp61NbWYsiQIWLD744f\nPx4RERFISUnBG2+80eqTJACQm5uLOXPmQE+v6UmKmJgY7uaoESNGICcnB4GBgWAYBq6uriLDNkdG\nRmLKlCno2bMnDA0NxXrMHh4e2LBhA/z8/GBsbIy9e/dyd0gr0tPX0dHBrl27sHTpUlRXVwMABg8e\njNjYWADAqlWrEBMTAy8vL+jq6sLBwQFbtmzhtm+tzRkzZmDKlCng8/kICQnBe++9x20nbdsPPvgA\nUVFRsLa2hqenJ8zMzFBZWSl2w11kZCTc3d3xxReKjQkhL7pJjMhEIBDgp8NCubeT9aYbQl4k7aYb\nQtRRe9wkRqe4CSGEEDVEp7iJzAKnubVaRkeLB13t/51GkueUYXvqiI8pqRNNj58QVaAETWQWeb6w\n1TKfBTjDuZvkuy8JIYTIjk5xkw5B03tvFD8hHQ/1oInMPgtwbrWMlVH7TbhBCCEdCSVoIrO+Gnzq\nWtOvgVL8hHQ8lKAJIRqj8l4hagr/abf61XGYWtJxUYImHYKm994o/iY1hf/g0lj55x+WlazD1FpY\nWCA2NhYRERH4448/4OXlhR9++AGDBw/myty5cwffffcdoqOjpdazadMmVFVVSZw44o8//sCKFStw\n7NgxAMDmzZuRmpqK69evc5NbKMs333yDjz/+GNnZ2WLP8kqbD1rWeZIVIa3NZrIc21cB3SRGCCFy\n6tSpEzIyMgAABw4c4IbVfJ6zs3OrCUSekbjmzp3LjVymbMnJyfjXv/6Fo0ePiq3Lzs7G6dOnxZYP\nHz4cqamp6NOnT7vMQS2pzWayHNtXASVo0iFo+ljQFL964fF4cHV1xaVLl5CbmwtnZ2dunObq6moE\nBARg6NChmDRpkti2S5YswfDhwzFx4kT8+eefIuv279+PQYMGISQkRGKylKahoQHLly9HQEAAfHx8\ncPDgQZm3ffToER48eIDly5cjJSVFZN2uXbuwfv16HD9+HAEBATINO9osPj4eY8eOxYgRIzBx4kTU\n1NRw6/h8Pvbs2YNx48bB3d0dv/76q0xt1tTUtHhsz58/j+DgYAQEBMDX1xfZ2dkyx6uO6BQ3IYQo\nIDQ0FNOmTcPs2bNx6tQpbnmnTp2QmpqK8+fPY/PmzSLbHD16FH/++ScyMjLAsiymTJnCzWRVVFSE\nuLg4ZGZmwtLSEv/9r2xj3wPA3r17wePxkJqaitraWgQFBWHgwIFis2RJ8sMPP2D06NGwtbUFj8dD\nQUEBN453eHg4DA0NJc4H3ZpZs2ZxvdypU6fixIkTGDt2LACgtrYWXbp0weHDh5GUlITExES88847\nrbapr68v9djm5eUhMjISKSkpXPyajnrQpEOga7iqpenxS/Laa6/h448/xrhx4wCIn66WNM3BxYsX\nMWHCBPB4PGhpaWHo0KFcuStXrmDEiBGwtLQEALz77rsyx3LmzBlkZGQgODgY48ePR01NjdgsWdKk\npKTghx9+gI+PD/755x8kJyeL7YciUzaYmZnh3Llz2LNnDyorK0XmWNbX10dgYCAAwNbWVmxO59ba\nlLTu1KlTGD169CuTnAHqQRNCiMJCQ0PlKq+lpSV1CkRtbW2Zp0d8kba2NpYsWQI/Pz+54hEKhXjy\n5AkyMzMBAMXFxZg2bRrmzZvHlVHk+nJlZSWCgoLg7++PAQMGwMnJSa79UaRNhmFQX18v93bqjHrQ\npEPQ9GugFL/6kyUBDRs2DCkpKWBZFk+fPoVAIODWubu748KFCygrKwPLsnJdgw4MDMTGjRvx9OlT\nmWMBmk5vPz/TUteuXdHY2CgyP7Ms80G/2N6dO3ego6ODhQsX4q233kJ2drZcCVqROai9vLyQnJyM\nu3fvytyOuqMETQghSvBir0/S/MO+vr5wcXGBh4cH/v3vf6N79+5cGUtLSyxduhSBgYEICgqSWCfw\nv5vQ9uzZwy0bO3YsAgMDuRukAgMDuWTdkpSUFPj6+oos8/b2FrlZzMPDA3fv3oWfnx8mTpyIqqoq\nsXoiIyOxYMEC7rWrqyv4fD6GDRuG2bNnY+jQoVzCfZGk49Ram5K2sbW1xdatWzF//nz4+/sjICAA\nFy5caPUYqDOaD5rIRCAQwM2t9dmsCFEWSfPr0kAlRF21x3zQdA2aEKIxDO27UwIlHQad4iYdgqZf\nA6X4Cel4KEETQgghaogSNOkQNP05XIqfkI6HEjQhhBCihihBkw5B06+BUvyEdDyUoAkhhBA1RI9Z\nkQ5B06+BUvxN/ikrwMMnJa0XVJCliQ2szV6dsZyJZqMETQjRGA+flGDVgdntVn9M6PZWE7SFhQVi\nY2MRERGBP/74A15eXvjhhx8wePDgdosLAK5fv47i4mJ4e3vLvW1DQwMiIyOxfv16aGvT176moFPc\npEPQ9GugFL/66NSpEzIyMgAABw4cgKOj40tpNzs7G6dPn1ZoWy0tLWzevJmSs4ahBE0IIXLg8Xhw\ndXXFpUuXkJubC2dnZ24iiKqqKkRGRsLX1xdeXl7YsWMHt925c+cwadIk7nVCQoLInMZ8Ph979uzB\nuHHj4O7ujl9//ZVbt2vXLqxfvx7Hjx9HQEAA1qxZw62rqKhAREQExowZgwEDBiAuLk4k3sjISAQE\nBMDW1lZsX1pqk6ge/ZwiHQJdw1UtTY//RaGhoZg2bRpmz56NU6dOcRM3rFu3DmZmZkhPT0dNTQ2C\ng4PRs2dPDB8+XKyOFyd7qK2tRZcuXXD48GEkJSUhMTER77zzDgAgPDwchoaGyMrKQkJCgsh2xsbG\niIuLg7m5Oaqrq+Hu7o7w8HDY2NgAADZs2AAAEhN0S20S1aMeNCGEyOm1117Dxx9/jHHjxoks/+mn\nnzB9+nQAgL6+PqZMmSLzaWl9fX0EBgYCaEqm5eXlIutZlpU6ZaOWlhbS09Oxb98+6OrqQigUKqVN\nolqUoEmHoOnXQCl+9RMaGgoTExOx5c/PX8yyLHg85XzNSpp6EgBu3LiBwMBAFBUVwdXVFRYWFnLN\nvUzUFyVoQghRkpEjRyIxMRFA0/Xoffv2wcvLCwBgZmbGzYlcV1eHP/74Q6669fT0uO2f/xGQmZkJ\nHx8fhIWFwcTEBHl5eZSgXxF0DZp0CJp+DZTib2JpYoOY0O1KqUta/W0RFRWF6Oho+Pj4oKGhAaGh\nody+9+7dG926dUN4eDgsLS1hamoqtVfMMIzYOg8PD2zYsAF+fn4wNjbG119/DQMDA4wZMwZTp07F\n2bNn4eLigkGDBsl8iru1NolqMSz91CIyEAgEsDSzU3UYKmdiqg8zC0NVh9EhFBUVoVu3bqoOgxCZ\nSHu/XrlyBSNHjlSoTupBE5kd2nVJ1SGo3ITw/ipJ0OfOndPoXrSmx0+IKtA1aEIIIUQNUQ+ayCxw\nmpuqQ2h3Olo86GpLvw5nYqr/EqP5H03vfWp6/ISoAiVoIrPI84WqDqHdfRbgDOduxqoOgxBC6BQ3\nIZpA058j1vT4CVEFStCEEEKIGqJT3ERmaz3a9oyoJrCsq0B9zt9troexsIKWdVclRNRE06/hKiv+\nun8eoOHhY6XUJYmWpTl0rLu0W/2EyIMSNJGZ88r3VB3CS1GjhDr0l34OKDFBkyYNDx/jn0//2271\nW6/4WKYE3bdvX8ybNw/h4eEAgMGDB+PQoUPo0aPluaTbIiEhAQcPHkTXrk3vq549e2LdunVtrnf2\n7Nm4ceMG+Hw+9u/f3+b6JNm0aROqqqqwePHidqn/VUWnuAnRAJp+DVfT45dk+/bt3JCbL2MELoZh\nEB4ejtTUVKSmpiolOQNN+/H89JXtgUYoUwz1oNWcUCjEokWLsG3bNujr6+PTTz/FkiVLoKen99Jj\nqfvkPy+9TWWpr69v98nqdbW0oKfV1AZjYdWubRHVYhgGgwYNwsGDB0XmeAaAhoYGfPrpp/j9999R\nX1+PmTNnYuLEiQCAUaNGYcuWLbCz+9+ofCNGjMD+/ftlGjVN2sCPCQkJKC8vx8OHD3H37l04OTlh\n586d3Prly5fjl19+AQB06tQJgwYNwtKlS1utNycnB/Hx8SgvL0dJSQmWL1+OUaNGydTmkiVL8Msv\nv6Br166wtLSUON0laRklaA3AMAwEAgE3LZyqDPlFvsH9O5o9o4MwoHv7DE1J16DVz5w5c/DBBx8g\nNDRUZPnevXvB4/GQmpqK2tpaBAUFYeDAgbCzs4OjoyMKCwthbm6O8vJy8Pl8PH78WObknJiYiJMn\nTwIAhg0bhoULF3Lrc3JysG/fPhgZGcHNzQ337t2Dvb09srOz8ccff+D06dO4cOECYmNjRZJzS2xt\nbbF7927o6uri2rVrmDlzJpegW2rz6NGj+PPPP5GRkQGWZTFlyhSRHyVENpSg1RzDMOjVqxeuXLkC\nf39/AE0f1KtXr+Lw4cNgGAaBgYEYOHAgioqKcOjQIXz00UcAgBUrViA6Ohr6+voSywNARkYGbt26\nheLiYrAsi5iYGGhpaalsfwnRFDY2NnBzc8OxY8dElp85cwZ5eXkIDg4GANTU1ODWrVuws7ODk5MT\nCgoK8P333+P8+fM4efIkTE1NZWqPYRjMmDEDEREREtf5+PjA2LjpGX4+n8/N7dypUydUV1ejvr4e\njx8/hrW1tcz7aGRkhIKCAly+fBn5+fkoKSmRqc2LFy9iwoQJ3FSbQ4cORWVlpcztkiaUoDUAj8fD\ngAEDuFNULMvi22+/xapVq6Cjo4PY2Fi4u7ujW7duqKioQFVVFUpLS2FjYwN9fX00NjZKLN98yres\nrAwxMTGtzlv7lZdiA76rg5dxituqrh51/zxol7uANX0sa02PXxKGYTB//nzMmjVLZLm2tjaWLFkC\nPz8/sW0cHBxw+fJl3LlzB9OmTcOmTZvg5OQkc5stzW0kbZ2Liwvc3d0xZMgQvP7664iPj5e5vX37\n9uHAgQOYMWMGhgwZInObWlpaIutoTibFUIJWc81vbA8PD6xduxYAUFlZidLSUu7GjubXVlZWGDp0\nKC5cuIB//vmHm0GloqJCankA6NOnj0yTyndd9oXS9+9V0/D/7wJuvimqOSm19fW1a9eUWt/Lfq1I\n/BYWFmo/m5WDgwPs7Oxw/PhxbllgYCA2btyIoUOHwsjICCzLcjdJOTo6Yu7cufj888/h6+uL/v37\n47332vfpiJycHNy9exfnz5+X+0dqWloaoqKi4Onpie+//17mRDts2DDs3LkTU6ZMQWVlJQQCAQYN\nGqRI+BqjvLyce7+++H5WFCVoDaGnpwcnJyekp6fDyMgI3bt3x8KFC2FgYCBSbtCgQfjiiy/AMAwm\nT54MADAxMZFanrSPFz+YbX39wQcftGv97f1akfiLiorwIi1Lc1iv+FhsubJoWZrLVO75u5I/+ugj\nHD16lHs9duxYlJSUIDg4GPr6TWO3Hzp0CEZGRnBwcIChoSFCQkKgo6ODwMBAODo6yhzf7t27kZqa\nCqAp2W/evFliTM8zNzdHQUEBRo0aBR6PBz09PUycOFHk2jnDMPjtt98QGBiI2NhY9OvXD0DT3y0q\nKgrW1tbw9PSEmZkZKisrYWho2GKbvr6+yMjIgIeHBywtLdG9e/dX/k7u5y9VKOtsEc0HreYePHiA\nb775BlFRUSgtLcW8efPw1VdfITc3FwcOHADDMDA3N8f8+fO5bbZt24bu3bsjKCiIW/bXX39JLJ+R\nkYHa2lr4+vq2GIdAIIAdvVU4Otq60NUWv5OeBrpQHpoPWjlOnjyJM2fOIC4uDlpaWkhLS8P69euR\nnp6u6tBeKe0xHzQlaCITgUCAtadntV6wg4gJ3Y5etu4vrT1Nv4arSPyUoJXjr7/+QlRUFNeDtbS0\nxPLly+W69k1a1x4Jmk5xE0LIK6xnz57caXGiWShBE5lF+9NNYs2MqrTx6PyVdqlbv7s1DO27iyzT\n5N4zoPnxE6IKlKCJzIq9ZRvcoCMobse6+3+/WSxBE0I6HhqLmxANoOljWWt6/ISoAvWgicz6fNt+\nswi1t5cxUImyNJiYIe/vRyLLTA27iS17WUxM9WFmYaiStgnpyDTjG4uohSRB+83DS56nXsd5Qnj/\nNidoZV2Dzi9/guKnT5VSlyRdjYzANzVpt/oJkQclaEKIxih++hTTj/7QbvXvGR3UaoJunpfZxsYG\ndXV1WLJkCby8vJTS/po1azBmzBi4uLiIrZs5cybu378PKysr7Nu3T2T0vzt37uC7775DdHS0UuIg\n6oESNJFZ4DQ3VYegsPqGemhrqc/bXUeLB11t2UdWKi8vl3lSBWUzMdVvcx2a/hz385rnZY6IiEBe\nXh78/Pxw+fJldOrUqc11L168WOLyBw8e4Pfff0dWVpbE9c7OzpScX0Hq841F1F7k+UJVh/DK+CzA\nGc7djGUuf+7cn3B9W/YhIUn7ah7fydbWFt26dUNhYSGsra2xZMkSFBcXo6CgAMHBwVi2bBm3zfnz\n57FmzRrU19ejoaEBn332Gfr06QOgaQjP77//Hjk5OUhJScFbb73FbbdmzRqcOnUKpaWlCAgIgLW1\nNRITEwE0zZQ1ZswYPHnyBHw+H/v37xeJs6U2ifqjBE2IBtD03qemxy/N7du3UVFRAXt7e2hrayMu\nLg7m5uaorq6Gu7s7wsPDYWNjg7y8PERGRiIlJQU9evQQq2fmzJmYOXMmgoODxcasXrx4MSZPnozQ\n0FCxAUf09fWRmpqK8+fPi4zLDaDVNon6owRNZPZZgLOqQ3hlWBnpqjoEoiCWZZGYmIj09HSYmJgg\nMTGRe0JAS0sL6enpyMvLg66uLoRCIWxsbHDq1CmMHj1a4UTZ2ojMkta3tU2iepSgicz6ynFKVt1o\n+jVQil99MAyDGTNmICIiQmT5jRs3MGfOHMyYMQOurq6wsLDgEifDMKivr3/pcb7sNoly0UAlhBAi\nJ0k91szMTPj4+CAsLAwmJibIy8vjynl5eSE5ORl37959aTGqok2iXNSDJh2CpvfeKH71Imlu4zFj\nxmDq1Kk4e/YsXFxcMGjQIAiFQgBNN5Nt3boV8+fPR2NjIxiGQUxMDAYNGtSmNp9f9+J6ZbRJVIum\nmyQyEQgEcHPT3MesiOaRNH0fDVRC1BVNN0mIgjT9GijF34RvakIJlHQYdA2aEEIIUUOUoEmHoMm9\nT4DiJ6QjogRNCCGEqCFK0KRD0PT5iCl+QjoeStCEEEKIGqIETToETb8GSvET0vHQY1aEEI3R8E8x\n2EfCdqufsbCClnXXdqufEHlQgiYdAj1HrFrKip99JETN6k+UEJFk+ks/B2RI0JWVlViwYAH+/vtv\naGlpISQkBO+//75SYkhNTYWTkxNef/11keVBQUFYtWqVyFSU8pgzZw6uXLmC3377TeY2N2/ejNTU\nVFy/fh15eXkKtSuNtDabHTt2DCzLYvTo0UptV5PQKW5CCJHTpk2bwOfzcfLkSaSlpSktOQPAiRMn\ncPPmTbHlLQ312Zra2lpcunQJ3bt3x7Vr12Ruc+7cuWJTXCqLtDabBQcHd+jkDFCCJh2EJvc+AYpf\nHZWVlUlcXlVVhcjISPj6+sLLyws7duzg1p07dw6TJk3iXickJIjM4zx//nwIBAKsXr0aAQEBSEtL\nE6n74sWLmDx5MgYMGCBSb2tOnz4NT09PTJw4EcnJySLrWmtTmoqKCkRERGDMmDEYMGAA4uLiRPYz\nJCQEMTExCA4OhqenJ0pLS2Vq87fffkNAQAD69OkjNsc1ACQmJsLHxwcBAQEIDAxEXV2dzMdB01CC\nJoQQOc2bNw8VFRXw8PDAwYMHRdatW7cOZmZmSE9Px/Hjx3H48GH8/PPPEut5sVe8ceNGjBw5Ev/3\nf/+H1NRU+Pv7i6wvKipCUlISDh8+jI0bN8ocb3JyMsaOHYuAgAD8+OOPcrUpjbGxMeLi4nDkyBFk\nZmZi//79KCkp4dbfvn0b06ZNw7Fjx/DGG2/gxIkTMrU5YMAApKamYsqUKWJtpqSk4NixYzh69ChS\nU1Nx4sQJ6OjoyHwcNA0laNIhaPpzuBS/ejE0NMS2bdvwzTff4Mcff8S8efO4dT/99BOmT58OANDX\n18eUKVNw+vRpueqXNofR2LFjATTNVPXkyROZ6qqurkZmZiZiYmIwbtw4PHjwAH/88YfMbbZES0sL\n6enp2LdvH3R1dbnZuwDA1dUVr732GhdveXl5m9s8duwY5s2bh06dOskdqyaiBE0IIQri8/nYvXs3\nfvzxR9TX13PLGxsbuf+zLAseT76vWmnXmxVJoidPnsT48eNx6tQpnDx5EgkJCUhJSZG5TWlu3LiB\nwMBAFBUVwdXVFRYWFnLHp8h19YaGBrm30VSUoEmHoOnXQCl+9VJVVcX9/+bNm+jSpQu0tZseihk5\nciQSExO5cvv27YOXlxcAwMzMDA8ePAAA1NXVSezJ6uvrc2WeT/SKSklJga+vL/d65MiROH78eJvb\nzMzMhI+PD8LCwmBiYoK8vDy5ErQibQYFBWH9+vWoqKgAoNgPFk1Cj1kRQjQGY2HV9ChUO9Yvi7S0\nNGzevBkGBgbo1KkTl5ABICoqCtHR0fDx8UFDQwNCQ0O5Hyi9e/dGt27dEB4eDktLS5iamor1IseP\nH4+IiAikpKTgjTfewJo1a/4Xn5w9zsrKSvz666/YuXMnt8zMzAxdu3bF5cuX0a9fv1bbBJpOkwcE\nBGDChAnc6fsxY8Zg6tSpOHv2LFxcXDBo0CDuFDfDMGKxyrOf0rYJCQlBaWkpQkJCoKurC4ZhcODA\nARgbG8t1XDQFw77qP0GIUggEAri5uak6DIXRc8SqpUj8RUVF6NatWztFRIhySXu/XrlyBSNHjlSo\nTjrFTQghhKghStCkQ9Dk3idA8RPSEVGCJoQQQtQQJWjSIWj6c7gUPyEdDyVoQgghRA1RgiYdgqZf\nA6X4Cel46DloIrO8vx+pOgSiJkxM9WFmYfjS2y1+Ugvh02ftVr+VkS66mui1W/2EyIMSNJHZoV2X\nVB0CURMTwvvLlaCV9Ry38OkzLEy90+Z6pPkswLnVBD1t2jTMnj1bZH+qqqowcOBAZGdntzmG1uZJ\nliQiIgKVlZXYs2cPAGDRokV4++23RWbOUtT169dRXFwMb29vkeUJCQkwMjLC3Llz5a7z6tWrWLZs\nGWpqaqClpYWRI0di0aJFbY4VAL788ktMnz5daeN1//zzz0hISEBOTg5SUlIUno9bEXSKmxBC5GBn\nZ4eioiKRZYWFhbCzs1NK/a3NkyzNyZMncfv2bQBtmzv6RdnZ2RIn+1C0jbq6OsyePRtr167F6dOn\nkZ6ejjlz5rQ1TM727dtRXV2ttPqGDx+O1NRU9OnTR6nHVRbUgyYyC5ymuSOJaTodLR50tV/ul0NL\nTEz15Sr/Kl2Dfj5Bf/XVVxg3bhyKioq4BN3Q0IBPP/0Uv//+O+rr6zFz5kxMnDiR237Lli1ITk6G\nlpYWDA0NceTIEW5d8zzJly9fxrZt2zBv3jyZp38cO3Ys1q9fjy1btoit27p1K44cOQIej4fevXtj\n9erV0Ndv+hsmJSXh/PnzqKqqQmFhocjczrt27cKOHTtQWVmJa9euYcSIEVi8eDFXb1FREWbNmoW7\nd+/CyclJZEhRaZpHJXzzzTe5ZSYmJtz/Hz58iAULFqC0tBQsyyIuLo7rtSYkJKC8vBwPHz4Ua7Om\npgYhISEQCoUIDQ2FtrY2duzYgR49erS6nzk5OYiPj0d5eTlKSkqwfPlyjBo1Sqbj3p4oQROZRZ4v\nVHUIHdZnAc5w7vZqjjesaezs7CAQCPDXX39hzZo1MDIyQmNjI+zt7QEAe/fuBY/HQ2pqKmpraxEU\nFISBAwfCzs4O5eXl2LBhA3JycrjJNZ63ceNGREREwM/PD0FBQXLF5e3tjQ0bNqCgoEBk+ZkzZ3D8\n+HGkpaVBR0cH0dHRWLduHZYuXcqVycjIwJEjR8ROq4eHh8PQ0BBZWVlISEgQWceyLG7cuIF9+/bB\nyMgIbm5uuHfvHnccpMnNzW2xzOLFizF16lR4e3sjPz8fkydPxtmzZ7n1OTk5EtvU19dHWloa3nrr\nLRw8eBDm5uZidUvbT1tbW+zevRu6urq4du0aZs6cqRYJmk5xE6IBJM2lq0lepeegbW1tUVRUhLS0\nNKxcuRI//vgjioqK4ODgAKApIWZkZCA4OBjjx49HTU0Nbt26BQAwNTWFl5cXJkyYgJ07d+LRI8k3\nXio6RcKHH36IjRs3iiwTCASYNGkSdHR0ADQlXYFAwK1nGAZBQUFSr3mzLCsxHoZh4OPjA2NjYzAM\nAz6fr5T3aWZmJjZu3Ijg4GBERETg2bNnKCsra3ObLe2nkZERhEIhjh49iszMTJSUlLR5P5SBetBE\nZms9bFQdgsLq6xugra2l6jBE6eiC0dGVqWjj09J2DobIqjlBV1VV4cCBA/juu+/w999/Y/jw4QAA\nbW1tLFmyBH5+fhK337p1K4RCIU6cOAFvb28kJyeLXb9W5FonwzAICQnBunXr8Prrr3N1MAwjMp1j\nY2OjWP0t/SBoKRZFfkg4Ojri8OHDUtdra2sjKSlJ6gxVbZnfSdq2+/btw4EDBzBjxgwMGTJE4fqV\njRI0kZnzyvdUHcIrRX/p59B+s6+MpTX79PardA3awMAAjx8/hqOjI3R0dDBixAj897//xcqVKwEA\ngYGB2LhxI4YOHQojIyOwLCuS5BoaGmBlZYWwsDCkpqbi1q1bIgn6xXmSeTzZTnSyLAsej4fw8HAs\nWbIEPj4+AAAvLy/Ex8cjNDQUenp62Llzp8gd2a0lPD09PYXikcbT0xPLly9HVlYW+vZtev/fv3+f\nOwb+/v6Ij4/H6tWrFWpTT08PQqEQ5ubmIse+pf1MS0tDVFQUPD098f3330st+7Inf6RT3IQQIidL\nS0uuh+zv74/GxkZYWloCaLpZKzAwEMHBwQgICEBgYCCePn0KoOkLPiQkBAEBARg5ciTeeOMNeHl5\nienGXOoAABnbSURBVNQ9fvx4bNmyBcHBwYiOjpY5puZENGnSJHTu3JlbPmLECIwePRqBgYHw9vZG\nfX09PvroI5HtWuole3h44O7du/Dz88PEiRNF7pBWpKevo6ODXbt2YdmyZfDy8oKXlxd2797NrV+1\nahWqq6vh5eWFgIAAzJs3T+J+SjNjxgxMmTIFISEh+Oabb0S2k7btBx98gCVLliAoKAh5eXkwMzND\nZWWlWLnIyEgsWLBAnt1tE5oPmshEIBDAgVev6jAUVl9fL/GmHFWqNe2MPF0DmcqWl5fD1NRUaW13\nNTIC39Sk9YJKoqz5oGmgEqKu2mM+aIW/sX755RekpqaCYRj4+/tj8ODBilalMU6fPi32azc6Ohrx\n8fEvPZatW7fixo0bmDlzJtzcXs7jT0N++eOltEPa357RQS81QStLVxM9SqCkw1DoFHdVVRV++OEH\nrFixAitWrEBqaiqqqqqUHZvaef7OR1X78MMP4eHhoeowCJHJq3QNmpCXRaEe9O3bt9G3b1/utv3e\nvXvjzp076NOnDz755BP06dMHN2/eRK9evTB58mQAwJ07d5CUlMRdq2keHu7q1as4fPgwGIZBYGAg\nBg4c2GLbZ86cwaVLlyAUCuHp6YmAgACpZTMyMpCdnY179+7B19cXP/74I5YuXYouXbogIyMDp0+f\nBsuyePfdd7mesbT4N2/ejKKiInz66afo1asXxo0bB6Dp1OnevXvFyrcUk6R2MzIycOvWLRQXF4Nl\nWcTExEBLS/67jqUdz/T0dJw9exY8Hg8eHh7w9PRscTkhhBDVUihBP336VOQWeGNjY+4miMrKSgQH\nB8PExAQLFy7E5MmTwbIsdu7ciejoaJiZmXHbNTY24ttvv8WqVaugo6OD2NhY9OvXj0v8kgwbNgzv\nvvsu6urqsHTp0hYTNABYWVnBwcEB1dXVGDx4MO7duwc9PT2cOnUKsbGxYBgGsbGxcHNzQ+fOnSXG\nDwBz585FdHQ0VqxYIXYsJJWX5MmTJ1LbBYCysjLExMQofJekpOPp7u4ObW1tXLx4EdHR0TA0FB0/\nWdpySb7yUuw6ijqQ5xo0o6MNRle2x59elva4Bv0yKWssbkI6EoUStJGREfLz87nXFRUV4PP5AAAz\nMzMuCev+/y+5iooKkeXPb1daWoo1a9YAaErujx8/hpWVldS2//zzT1y+fBn6+vqora1tNdbmNo2N\njVFWVoaGhgYIhUI4OTlxPVQXFxeUlJSgc+fOEuNvrX5Zy0tqt7i4mEvQffr0adMjDJKOZ2lpKays\nrDB37lycOnUKFRUV6N+/P3r27AkAUpdL0nXZFwrHpkmsV3yM3wubRmNqTirNA22o6vWXx47C1dVV\nqfXff4nxX7t2Te7tLSwsJN50Q4g6Ki8v596vL76fFaVQgnZxccGhQ4cwbtw4sCyLa9euYfTo0VLL\nGxsb4/Hjx3j06BEsLCy45SYmJujevTsWLlwIAwPZ7mbds2cPPv/8czx8+BC//PKLIuHD2toad+/e\nRX19PRiGwa1bt1rtiQNNvbC2PAeoaLuyaul4WlhY4F//+heePXuGmJgYLolLW97RvfjBUvXrDz74\nQK3ieRnxvzghBSHq7PkzXMo6W6RQgjYwMEBAQABWrlzJXetsaWovhmHw/vvvY/PmzWhsbISpqSmi\noqLAMAwmT56MtWvXgmEYmJubY/78+S22/frrryMmJgb29vZSR5ppCcMwMDY2hre3N1auXAmWZeHp\n6Slx3NYXubq6Ij4+HlZWVpg1a5bcbbfWriLPFCYlJaGwsBBBQUEtHs89e/bg/v37qKqqgq+vL7e9\ntOWSGC0Olzs+TfREvwF3835XWfuWJjawNuuhsvYJIeqBnoMmMhEIBFh7Wv4fJUR+MaHb0cvWXWSZ\npl/DVdZz0GWPKvGkvEaZoYkwMdWXa55rQpqp1XPQhBDysj0pr8GhXZfarf4J4f1bTdDTpk3D7Nmz\nRX5wVFVVYeDAgcjOzm5zDKmpqXBycpI6eYU069atQ2pqKnR1deHo6IjNmze3ORYAuH79OoqLi0WG\nBwWapn40MjLinsiRx9WrV7Fs2TLU1NRAS0sLI0eOxKJFi5QS75dffonp06e3eFZXHj///DMSEhKQ\nk5ODlJQUburLl4ESNJFZtH/HuElMHjw9HfD0lTtwhqWJ+KQkmtx7BjQ//uc9Px90s8LCQrEJLxR1\n4sQJ+Pr6ypWgz507h59++gmnTp1S6FJZS7Kzs5GVlSWWoBVtp66uDrNnz0ZiYiI3J/ST/9fevQdF\nVf5/AH8v7C4LLBeFwEto3qYyQsfUKTUlBpPLQGpqRGXlham07Gc2poUi+isvlZeEUqwxMzL1q81k\nUaMkTWSW4jdiRDLFzBRC5Sqry2XP7w/H/UnuLnuW5VzY9+sv2T37PO/WYx+e5znnPPX1Hc55w6ZN\nm/DYY4+5rUCPHTsWY8eORXJystu/2/awQJPTKsYvbv8gDzPiPxsRMlqaJ7mRMtxcoD/66CNMmTIF\nFy5csBbo1tZWLFu2DEePHkVLSwtmzpyJxx57zPr5rKws7N27F97e3vD398eePXus77300kvIz89H\nUVERPvjgA7z44ouIj493Kte1a9dgMpls3jKZnZ2NPXv2wMvLC5GRkXjzzTdhMBgAABEREda7cgoL\nC5GVlYXPPvsMALBlyxZs3rwZjY2NKCkpwbhx47Bw4UJruxcuXMDs2bNx+vRpDBgwADk5Oe3mzM/P\nx7Bhw6zFGbh+gesNly5dwiuvvILq6moIgoAVK1ZYR60rV65EXV0dLl26dEuf165dw6RJk1BVVYWU\nlBRotVps3rwZt99+/XqO3Nxc/PjjjzCZTDh//jxGjhyJFStWALi+x/Rbb72Furo6VFZWYsmSJYrY\nD5oFmkgFPHENWqn69u2L/Px8lJWVYdWqVTAajbBYLLjjjjsAANu2bYOXlxe+/vprmM1mJCUl4f77\n70ffvn1RV1eH9evXo7S01OZ9+Rs2bMCcOXMQFxeHpKQkpzONGTMGCQkJiI6ORkpKCp577jlroT54\n8CD27duHvLw86HQ6LFq0CO+++y4WL77+C7ejUeGsWbPg7++P4uJirFy5ss17giDg+PHj2L59O4xG\nI4YNG4Y///zT+j3Yc+bMGYfHLFy4EE8++STGjx+Pc+fOITU1FT/88IP1/dLSUpt9GgwG5OXlYejQ\nofj8889tXvhbUFCAPXv23DI70adPH3z44YfQ6/UoKSnBzJkzWaBJXaI+XSt3BJd11mYZXqEh7R9E\nXcqN/aDz8vKQkZGBb775BpGRkejXrx+A6wXxr7/+QnJyMoDrI7sbW0oGBQUhNjYW06ZNQ3x8PCZP\nntzm1tMbXLl2d/78+Zg9ezays7MRHx+Pb7/9Fr6+vvjuu+/w+OOPWx8ANWvWLKSlpVkLdHsEQbCZ\nR6PR4OGHH7beTRMREYG6ujrRuf/t+++/R1VVFd577z0AQFNTE2praxEcHNyhPjUaDZKSkmwuHRiN\nRvz9998oKirCuXPnUFlZ2eH/DndggSan5ebXyB1BcabNGoj2b9DrOLWPPtWe/2Y3CrTJZMKOHTuw\na9culJeXY+zYsQAArVaL1157zbod5b9lZ2ejqqoKX331FcaPH4+9e/fesn7t6lpnQEAAFi5ciOLi\nYhw5csSayWKxWI+xWCyi2nd0rCu/SPTv3x+7d++2+75Wq0Vubq7d22g7cuORvc9u374dO3bswIwZ\nMzB69GiX23c37gdNRCSCn58fampq0L17d+h0OowbNw779u2zTtsmJiZiw4YNbfaAvllrayvCwsLw\n7LPPYsCAATh58mSb9w0GAy5evAigbWF1pKWlBU1N17fhbGhowNmzZ9G/f38AQGxsLD777DPrkxdz\ncnLaXPCl0+msex//8ssvt7Tt4+MjOo8jMTEx1gvPbjh79qz1z/Hx8W12CBTbp4+PD6qqqgC0/e4d\nFfa8vDzMnz8fkydPRnl5ud1jpb4rmSNoclriU+q9GKqltQVab/ef7s06LYovNLi93Rtu7E+s9jVc\nd+UPDDJg2qwRbkhkv31nhIaGWkfI8fHxeOeddxAaGgoAePTRR1FZWYnk5GTrhVg7d+6E0WiEIAiY\nNGkSWlpaYDabMXr06Fu2sJ06dSrmzJmDL774AnfffbdTT/c7c+YMnnvuOfj4XL+jID093Xpx1Lhx\n41BaWorExERoNBrce++9ePnll62fnTdvHp544gncdddd8Pf3v2XEHB0djfXr1yMuLg4BAQHYtm2b\n9QppV0b6Op0OW7ZsweLFi3H16lUAwKhRo5CZmQkAWL58OdLT0xEbGwu9Xo9+/fohKyvL+vn2+pwx\nYwaeeOIJREREYNKkSZg+fbr1c/Y++/zzz2P+/PkIDw9HTEwMgoOD0djYeMsFd/PmzcPw4cPxzjvS\n3NHCB5WQU/Lz8/HaMWlvMSBgTcJADOkV4JEF2t6DH4iUqDMeVMIpbiIVUHNxBtSfn0gOnOImp61J\nGCh3BI8TZlTWtpdEJB0WaHLakF7iNydRCk+cIlYStecnkgOnuIlIkezdf0ukNJ11rrJAk0dQ++jN\nE/MHBQWhurq6E9IQuVd1dXWb/aDdhVPcRKRIRqMRZrP5lo0piJTGx8cHRqPR7e2yQJNHUPsaqKfm\nt/UYTKl56nevFGrP3xGc4iYiIlIgPqiEnHJjizgiInIeH1RCRETUxbBAk0coLCyUO0KHML981Jwd\nYH41Y4EmIiJSIK5Bk1O4Bk1EJB7XoImIiLoYFmjyCGpfx2J++ag5O8D8asYCTUREpEBcgyancA2a\niEg8rkETERF1MSzQ5BHUvo7F/PJRc3aA+dWMBZqIiEiBuAZNTuEaNBGReFyDJiIi6mJYoMkjqH0d\ni/nlo+bsAPOrGQs0ERGRAnENmpzCNWgiIvG4Bk1ERNTFsECTR1D7Ohbzy0fN2QHmVzMWaCIiIgXi\nGjQ5hWvQRETidWQNWuvmLNSF/VV+We4IRKQAgUEGBIf4yx2jy2OBJqft3HJE7ghEpADTZo2QrEAX\nFhZizJgxkvSlNFyDJiIiUiCOoMlpiU9xDZqIgGadFsUXGiTpK6D/EMn6siXMqEfPQB9Z+maBJqfN\n+/G83BGIiCS1JmGgbAWaU9xEREQKxBE0OW11dA+5I7ispaUVWq233DFcxvzyUXN2oIvm1+mh0ekl\n6T/MKE0/trBAk9MGZkyXOwIREQyL34Z28BC5Y3Q6TnETEREpEEfQ5LTmBf8rdwSXtbS0QKtV7+nO\n/PJRc3ZA3vx6b2/4eHes7/q6OgQGBbV5TRMS1qE21cLtf2uHDh3C119/DY1Gg/j4eIwaNcrdXRCA\n7OxsHD9+HDNnzpTsEZyjD/1Xkn6IqGvY+kgSRvbu1aE2SgsLMcYDprNtcWuBNplM+PLLL5GZmQmN\nRoOMjAwMHToUfn5+7uyGALzwwgvYtWuX3DGIiDqVpz5FDHBzgf7jjz8wZMgQ6HQ6AEBkZCROnTqF\nqKgoLFiwAFFRUfj9999xzz33IDU1FQBw6tQp5ObmwmKxIDQ0FHPnzgUA/Prrr9i9ezc0Gg0SExNx\n//33O+z74MGDOHLkCKqqqhATE4OEhAS7x54/fx67du3Cyy+/DABYunQpFi1aBIPBYLdfe+0XFBTg\n5MmTqKiogCAISE9Ph7e3/SsmCwoKcODAAQiCgIceegixsbEutWOPvfzffvstfvjhB3h5eSE6Ohox\nMTEOX7flo1jXHvhORJ4prLkF146flDuG23mHdoMu/LZO78etBfrKlSsICAiw/hwQEIArV64AABob\nG5GcnIzAwEC8+uqrSE1NhSAIyMnJwaJFixAcHGz9nMViwaefforly5dDp9MhMzMT9913n7Xw2/Lg\ngw/ioYceQnNzMxYvXuywQPfu3RsNDQ0wmUyorq5GeHg4DAaDw34dtV9bW4v09HR4eTm+5q6+vh77\n9++3zjBkZmZi2LBh6N69u6h27LGVf/jw4dBqtTh8+DAWLVoEf/+2z8+197otPd94x6VcROS5/pE7\nQCcIX/o/6ivQRqMR586ds/7c0NCAiIgIAEBwcLC1COv1euv7N79+8+eqq6uxatUqANeLe01NDcLC\n7F8YcOLECRQVFcFgMMBsNrebddSoUTh8+DCqqqqsW4E56tdR+1FRUU4V1aqqKgwYMMA6Mh40aBAq\nKiqsBdrZduyxlb+6uhphYWGYO3cu9u/fj4aGBowYMQJ33XUXANh9nYiIbKurq8PRmzbxKCwsBAC7\nP7vKrQV60KBB2LlzJ6ZMmQJBEFBSUoJHHnnE7vEBAQGoqanB5cuXERISYn09MDAQvXv3xquvvur0\n+vXWrVvx9ttv49KlSzh06FC7x48aNQrr1q0DAKSkpLTbr9j2bQkPD8fp06fR0tICjUaDkydPOhzp\ni+Uof0hICCZOnIimpiakp6dbi7i9120xLpzltqxEREqg0+qh14p7lKd3aDeMuWkE/e9C7K51c7cW\naD8/PyQkJCAjI8O6Burr62v3eI1Gg7S0NGzcuBEWiwVBQUGYP38+NBoNUlNTsXr1amg0GnTr1g0v\nvfSSw77vvPNOpKen44477mgzzW6Pr68vAgIC0KdPnzZ57PXrqH2NRtNuf8D1X0jGjx+PjIwMCIKA\nmJgYdOvWTXQ7N8vNzcX58+eRlJTkMP/WrVtx9uxZmEwmTJgwwfp5e6/bMic/TXQ+IiIlS0/ZhHv6\n3Ct3DJs0giAIcoeQS1ZWFqZPn+5UQfd0+fn5WH1gttwxiIjc6nqBHt5p7R87dsy6jCqWeu++74BT\np05h3759uPvuu1mciYhIkTx6BE3Oy8/Ph7euXu4YREQd4uWjg5fh/9ecQwN7IDz49k7rjyNokkTF\n+MVyRyAi6pAR/9mIkNHSPH2xo7hZBhERkQJxBE1Oi/p0rdwRXMYND+Sl5vxqzg5In99b6+XW/afr\n6uoQ9K/NMjrC0DvcbW11NvWedSS53PwauSMQkcJNmzUC4f1D2j/QSe5rSX04xU1ERKRAHEGT0xKf\nUseFFba0tLZA28F9aeXE/PJRc3ZA+vzNOi2KLzS4rb1/T3GHGfXoGSjuyV9qpd6zjiQ378fzckcg\nIo900fqnNQkDPaZAc4qbiIhIgTiCJqetSRgodwQi8nBhRr3cESTDAk1OG9JLvY9FLbxpazg1Yn75\nqDk7wPxqxiluIiIiBeKzuMkp+fn5GDZMvVdxExHJoSPP4uYImoiISIFYoMkjFBYWyh2hQ5hfPmrO\nDjC/mrFAExERKRDXoMkpXIMmIhKPa9BERERdDAs0eQS1r2M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       "text": [
        "<matplotlib.figure.Figure at 0x1020d6b10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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iNIYyvKdcG2GFEK3U1aGu2vBv6bp6PBlGRBiGQVxcHE6ePAmgajS9BQsWAAB0\ndHQQEREBAwMDlJSUoF+/fggKCoKxsTHy8/OxYcMGZGVl1fjw3saNGxEcHAxXV1f2FUhpDB06FO7u\n7rC3t4efnx9mzJjBjtR39uxZHD9+HElJSVBTU0NYWBjWrVsnMp+yJEFBQdDS0kJGRgaioqLEjsHt\n27exe/duaGtro0+fPnj8+DHMzc1rjfXRo0e1rhMaGoqJEyfCyckJOTk5GD9+PM6dO8eWZ2Vl1dgm\nj8dDUlISevXqhf3798PAwECs7tTUVBw+fFjsKoSpqSliY2Ohrq6OmzdvIjAwEF988UWt+6EIlPes\nRhpt7vlceYfQoq11t4Z1h4Y/PS9Pn+J7yhwOBwEBARIvX3O5XCQnJyM7Oxvq6uoQCAQwNjaGnp4e\nHB0d4evrCzc3N/j4+MCwhtHLGvL2aUhICKZOnYqYmBi4ubkhOTkZrVq1wpkzZzBu3DioqakBqEq0\n06ZNY5NyXRiGqTEeDocDZ2dn9q0OPp+P/Pz8esf9sbS0NAgEAnbWrffv3+Pt27fQ19dvVJscDgee\nnp413hbQ1tbG06dPcfXqVeTk5OD58+eN3o/mQEm5BVvrbi3vEFq0tto0LraikZQ4b9++jRkzZiAg\nIAC2trYwNDQUWTcmJgYCgQAnTpyAk5MT4uPjReZTBhp+v1ZHRwehoaHIyMjAlStX2IlrKisr2XUq\nKyvrVX9t6zbky4OlpSUOHjwosVxVVRV79uyR+ApnY4bLkLTt7t27sW/fPgQEBGDIkCENrr+5UVJu\nwXoqaS8NaNgwj4okPT0dPZU8fmU+/vWVlpYGZ2dn+Pv7IysrC9nZ2SLJoKKiAm3btoW/vz8SExNx\n9+5dkaTM4/Hw4sULAJA4Bv7HhEIhKisroa6ujoKCAjx58gSWlpYAAEdHR0RGRsLPzw8aGhrYtm2b\nyENbampq7NzBly9fFqtbQ0Oj3vHUxsHBAeHh4cjIyEDPnj0BAE+ePGGPgZubGyIjI7F69eoGtamh\noQGBQAADAwN2VEOg9mSelJSEkJAQODg44NChQxLXVbTxsygpE0LkRlePB9+g/k1af33ExsYiMTER\nAGBlZcVebvXx8cHEiRNx7tw5dOrUCYMGDYJAIABQlWC8vb0hFApRVlaGIUOGwNHRUaTeMWPGIDg4\nGAkJCejatavEMek/9OjRI8yYMQMaGlVTWy5duhQmJlXDrQ4fPhxZWVnw8PAAh8OBra2tyNgFc+fO\nxYQJE9C6tjR/AAAgAElEQVSlSxdoaWmJ9Yzt7e2xYcMGuLq6QkdHBzt37mSfbG5Ij15NTQ3bt2/H\n4sWLUVJSAqBq0pyVK1cCAFatWoWlS5fC0dER6urqsLCwQHR0NLt9XW0GBARgwoQJ4PP58Pb2xuTJ\nk9ntJG371VdfISQkBO3atYODgwP09fXZLyofmjt3Lvr164cfflCMwZRomM0WqvppSUKaCw2zSZSJ\nvIbZpFeiCCGEEAVBSZkoJWV/T5biJ4TUhJIyIYQQoiAoKROlpOxP/lL8hJCaUFImhBBCFAQlZaKU\nlP2eJsVPCKkJvadMCJGbose5KM39p8nq53VsBy3zjk1WPyGyRkmZKCVlv6dJ8Vcpzf0HV0bXf+5e\nafU/tFnqpGxoaIiVK1ciODgY169fh6OjI44dO4bBgwez69y/fx8HDhxAWFiYxHo2bdqE4uJihIaG\nipVdv34dy5Ytw9GjRwEAmzdvRmJiIm7duoXs7Ox67l3tdu3aha+//hqZmZli79tKmk+5KecZltRm\nNWmObUtAl68JIQRAq1atkJqaCgDYt28fO6Tlh6ytretMGvUZEWvWrFnsCGKyFh8fj3/96184cuSI\nWFlmZiZOnz4tttzOzg6JiYn47LPPmmQO55rarCbNsW0JKCkTpaTs9zQpfsWjoqICW1tbXLlyBY8e\nPYK1tTU7LnJJSQnc3d0xdOhQkbmJqy1atAh2dnYYO3Ys7ty5I1K2d+9eDBo0CN7e3jUmSEkqKioQ\nHh4Od3d3ODs7Y//+/VJv++rVK7x48QLh4eFISEgQKatrPuXaREZGYvTo0Rg+fDjGjh0rNofzjh07\n8OWXX6Jfv364dOmSVG2WlpbWemzPnz8PLy8vuLu7w8XFBZmZmVLHq4zo8jUhhPx/fn5+mDRpEqZP\nn45Tp06xy1u1aoXExEScP38emzdvFtnmyJEjuHPnDlJTU8EwDCZMmMBOxJCXl4eIiAikpaXByMgI\n//nPf6SOZefOnVBRUUFiYiLKysrg6emJgQMHis0+VZNjx45h1KhRMDU1hYqKCp4+fcqOm13bfMp1\nmTp1KtubnThxIk6cOIHRo0cDAMrKytCmTRscPHgQe/bsQVxcHD7//PM62+TxeBKPbXZ2NubOnYuE\nhAQ2/k8d9ZSJUqJ7svKl7PFL0rlzZ3z99df48ssvAYhfiq5pqoCLFy/C19cXKioq4HK5GDp0KLve\ntWvXMHz4cBgZGQEARowYIXUsZ8+eRWpqKry8vDBmzBiUlpbi7t27Um2bkJCAY8eOwdnZGf/88w/i\n4+PF9qMh0x7o6+sjPT0dO3bsQFFRkcgcxTweDx4eHgAAU1NTsTmR62qzprJTp05h1KhRLSYhA9RT\nJoQQEX5+fvVan8vliiSUD39WVVWVWFYXVVVVLFq0CK6urvWKRyAQ4N27d0hLSwMAPHv2DJMmTcLs\n2bPZdRpyv7ioqAienp5wc3PDgAEDYGVlVa/9aUibHA4HQqGw3tspM+opE6Wk7Pc0KX7lIE3SGTZs\nGBISEsAwDAoLC5GSksKW9evXDxcuXMDbt2/BMEy97il7eHhg48aNKCwslDoWoOrS9YezGLVv3x6V\nlZV48uQJu+zj+ZRr8nF79+/fh5qaGhYsWIBevXohMzOzXklZmjY/5ujoiPj4eDx48EDqdpQdJWVC\nCJHg495dTfP3uri4oFOnTrC3t8e///1vdOzYkV3HyMgIixcvhoeHBzw9PWusE/jfg2Q7duxgl40e\nPRoeHh7sQ04eHh5sgq5NQkICXFxcRJY5OTmJPPBlb2+PBw8ewNXVFWPHjkVxcbFYPXPnzsX8+fPZ\n321tbcHn8zFs2DBMnz4dQ4cOZZPsx2o6TnW1WdM2pqamiImJwZw5c+Dm5gZ3d3dcuHChzmOgzGg+\n5RaK5lMmza2m+Wlp8BCiqOQ1nzLdUyaEyI2WeUdKmoR8gC5fE6Wk7Pc0KX5CSE2op9yCZT98Je8Q\nGkxPqwPFLyVdPR70DbWapS1CSONQUm7B/rv9irxDIM3AN6i/zJPyp/qeMiHyRpevCSGEEAVBPeUW\nzGOS8j59LawQQpWrvB9fSfGrcVWgrirbiQB09XgyrQ+ouqdMvWVCZE95z2qk0eaez5V3COQja92t\nYd1BR95hEELkhJJyC/advbG8QyAfMSovgDDroUzr5Bi2Bbdde5nWKate8j9vn+Llu+d1r9hARrrG\naKffcsZNJsqPknILZr18srxDIDUorXuVeuEt/h6QcVKWlZfvnmPVvulNVv9Svy1SJWVDQ0OsXLkS\nwcHBuH79OhwdHXHs2DEMHjy4yWIDgFu3buHZs2dwcnKq97YVFRWYO3cu1q9fD1VVOpV/KuhBL0JI\nvX1q7ym3atUKqampAIB9+/bB0tKyWdrNzMzE6dOnG7Qtl8vF5s2bKSF/YqT6a27evBlCoRDz5s1j\nl4WFhSEyMlImQZw+fRqOjo5SrVvfdmNiYnD79m0EBgaKDSt548YN7N27F4aGhli4cGGD4myO41Ba\nWioyb6mslH/zrUzra05CoVCpT0Y1xa/O5UKjCR5e4xi2lXmdnxoVFRXY2triypUrePToEaytrdnJ\nFoqLixEWFoa//voLFRUV8PX1xbRp0wBUfTmJjo7G3r17AQBRUVHQ1tbGrFmzAAB8Ph+rVq3C8ePH\n8fjxY0RHR7NzDG/fvh1bt25FUVERbt68ieHDhyM0NBQAUFBQgEWLFuHZs2d4+vQpvLy8sGTJEjbe\nuXPn4t69e7h16xays7NF9qW2Noniq/MMIBQKkZ2dDS6X22QnwpSUFKmTcn3NnDkTBw4cqLHsypUr\nmDp1KqytraWqqynjrK1+Ho8n84QMAEP+uC7zOknD7RjliQEdxcfaVUSf4pPXfn5+mDRpEqZPn45T\np06xkyOsW7cO+vr6SE5ORmlpKby8vNClSxfY2dmJ1fHxhAplZWVo06YNDh48iD179iAuLo5NkEFB\nQdDS0kJGRgaioqJEttPR0UFERAQMDAxQUlKCfv36ISgoCMbGVc+BbNiwAUDVhA0fq61NovjqzLC3\nb99G586doaqqioyMDPTt2xdAVe/txx9/RE5ODnr16gVfX18AQGpqKk6fPg2GYTBixAg2yXzYo/zw\n582bNyMvLw8rVqxA9+7d2cnFJREKhdi5cyf+/vtvdO/eHePHjwdQNSH4lStXIBAI4ODgAHd391rr\n+f7773H37l08fPgQ7dq1E7kKUBNJcUqK58aNGzh48CA4HA48PDwwcODABtWfmpqKtLQ0lJaWsscs\nNTUVmZmZePz4MVxcXPDbb79h8eLFaNOmTb3a/dmx6QZVJ/XXtlyI0tvSTWKvjCrVufIOoVadO3fG\n119/DXd3d5w6dYpdfubMGcTGxgKo+oI8YcIEnD59usak/DEejwcPDw8AVQk0Pz9fpJxhGInTH3K5\nXCQnJyM7Oxvq6uoQCARsUm5Mm0Sx1ZmUL126hL59+0JFRQUXLlxgk/L79+/h7+8PDQ0NhIeHw8nJ\nCVwuF6dOncLKlSvB4XCwcuVK9OnTB61bt5ZY/6xZsxAWFoZly5ZJFXBhYSG8vLygq6uLBQsWsElw\n2LBhGDFiBMrLy7F48eI6k/I333yDmJgYeHl5wcSk7gdBJMVZUzyVlZX49ddfsWrVKqipqWHlypXo\n27cv1NTU6l2/vb097O3tERYWJrK8bdu2sLCwQElJCQYPHozHjx/D0NCwXu22X/JDnftNmlfTzZck\nfxXT/IBOVvIOo1Z+fn41Lv9w/l+GYaCiIpvHcWqaxhGo6gzNmDEDAQEBsLW1haGhYb3mLibKq9ak\nXFlZiYyMDBQUFAAA7t69i8rKSqioqEBXVxc8XtWgBBYWFnj1qmocXysrK3C5Vd+IO3XqhOfPn9ea\nlOtLX18f+vr6AAB1dXV2+Z07d3D16lXweDyUlZVJXV9jP+g1xVNQUIDXr19jzZo1AICioiK8efMG\nbdvK7t5edZs6Ojp4+/YtKioqUFhY2OTtEtLSjBw5EnFxcYiIiEBxcTF2796N5cuXA6j6P6yeU7i8\nvBzXr1+v16V9DQ0NdvvqcysApKWlwdnZGf7+/sjKykJ2djYl5WaWn5/PTt1Y/WBjc9y2qTUp//33\n3+jatSv70EL1Q1O2trZ4/fo1CgsL0apVKzx8+BC+vr6orKzEgwcPIBQKweFwcPfuXbbHWv1Ns6ys\nTCxpCoVCkQ9kQ+zYsQPff/89Xr58iT/++KPB9dRG2jh1dXXRsWNHLFiwAJqamjKvX1btaocGNagd\nojzUVNWhrqoh7zAAAC9ruHxtpGuMpX5bmqxNI93Gv4sfEhKCsLAwODs7o6KiAn5+fuzJuUePHujQ\noQOCgoJgZGQEPT09ib1fDocjVmZvb48NGzbA1dUVOjo6+OWXX6CpqQkfHx9MnDgR586dQ6dOnTBo\n0CAIBIJ6x15Tm0Q6enp67M/N+QxFrUn58uXLIsEMHToUly9fhq2tLbS0tPDLL78gJycHdnZ20NbW\nBgA4OTlh+fLlYBgGDg4OMDAwAABYW1tj586d4PF4Yh8SW1tbREZGom3btpg6dWqDdsTGxgZLly6F\nubk5dHR0wDCMSDt79uxBbm4uPD09RbarzwdW2jg5HA7Gjx+P7777DhwOBwYGBpgzZ47M6pfUJoB6\ntRucMq1ebRDls9RvC7qb2so7DACASl6e2LJ2+iYKMbjHx08wVz9NDVS9LrV+/XqJ2+7cuVOqeocM\nGYIhQ4aIlLdu3RppaWli2xkbG0v1qtTHcUvTJlFsHIauibRIKSkp4Kq9k3cYDdaYNwFUNNSgwpNv\n7zE/P1/km3hTaaoRrRoy9nVeXh57OZAQRSfp83rt2jWMHNl0D8kq74uepNGeOS2Wdwhy0f/QZhgO\nke9kHOnp6ehu20+uMRBCFA+N6EWIHCj7e77KHj8hiop6yi3YZ7/+R94hNCmuqgpUVcUfLuJ1bCeH\naAghpG6UlFuwPSlv5B1Ck/IN6o92lobyDqNGyj4fsbLHT4iioqTcgnlMku991cYQVgihWsc40eVq\nqsjIK2imiOqn0tC81tjaaqujva5ivMpECGk+lJRbsLnnc+UdQgv3QmLJWndrhU7Ksuoll//zAhUv\nm+6KDdfIAGrt2jRZ/YTIGiVlQojcVLx8g39WNN2zDe2WfS11Uu7Zsydmz56NoKCqQXUGDx6M//73\nv1INw9tQUVFR2L9/P9q3r5rvukuXLli3bl2j650+fTpu374NPp8v8s61LG3atAnFxcXszFZENigp\nt2Br3aWbHUsRNdd7vk2lrvjbaqtLLFMEn+o95S1btiAgIAAqKirNMhIWh8NBUFAQgoODZVrvli1b\ncP78eWzevFmm9X6IRgprGpSUW7CeHXTkHUKDpT/MQM+uypsUlD3+TxGHw8GgQYOwf/9+jBs3TqSs\noqICK1aswJ9//gmhUIjAwECMHTsWAPDFF18gOjoaZmZm7PrDhw/H3r17pRosRdL4TVFRUcjPz8fL\nly/x4MEDWFlZYdu2bWx5eHg4O6Rwq1atMGjQICxe/L+xByTVm5WVhcjISOTn5+P58+cIDw/HF198\nIVWbixYtwh9//IH27dvDyMioxqkjSeNQUiZKSdl7aRS/YpoxYwa++uorsdmidu7cCRUVFSQmJqKs\nrAyenp4YOHAgzMzMYGlpidzcXBgYGCA/Px98Ph9v3ryROiHHxcXh5MmTAKpmu1uwYAFbnpWVhd27\nd0NbWxt9+vTB48ePYW5ujszMTFy/fh2nT5/GhQsXsHLlSpGEXBtTU1PExsZCXV0dN2/eRGBgIJuU\na2vzyJEjuHPnDlJTU8EwDCZMmCDyRYTIBiVlQgj5/4yNjdGnTx8cPXpUZPnZs2eRnZ0NLy8vAFXz\nyd+9exdmZmawsrLC06dPcejQIZw/fx4nT56U+tYKh8NBQEBAjZevORwOnJ2doaNTdUWLz+ezcyO3\natUKJSUlEAqFePPmDdq1k/7de21tbTx9+hRXr15FTk4Onj9/LlWbFy9ehK+vLzthztChQ1FUVCR1\nu0Q6lJSJUlL2e5oUv2LicDiYM2eO2IQwqqqqWLRoEVxdXcW2sbCwwNWrV3H//n1MmjQJmzZtgpWV\n9PNG1zb9gKSyTp06oV+/fhgyZAhsbGwQGRkpdXu7d+/Gvn37EBAQUONkFZLa5HK5ImU0bULToGE2\nCSHkAxYWFjAzM8P9+/fZZR4eHti4cSMKCwsBiCYkS0tLxMXFYcKECZg4cSJ++eUXWFs37UOUWVlZ\nePDgAc6fP4+dO3eiY8eOUm+blJSEkJAQ+Pj44OHDh1In12HDhiEhIQEMw6CwsBApKSkNDZ/UgnrK\nRCkpey+N4q/CNTJAu2Vfy6QuSfVL68OniefNm4cjR46wv48ePRrPnz+Hl5cXeDweAOC///0vtLW1\nYWFhAS0tLXh7e0NNTQ0eHh6wtLSUut3Y2FgkJiYCqErwHz4xLekJZwMDAzx9+hRffPEFVFRUoKGh\ngbFjx4rcC+dwOLh8+TI8PDywcuVK9O3bFwDw1VdfISQkBO3atYODgwP09fVRVFQELS2tWtt0cXFB\namoq7O3tYWRkhI4dO9IT2E2Apm5soVJSUtCnj/KO6EWUD03dKDsnT57E2bNnERERAS6Xi6SkJKxf\nvx7JycnyDu2TIa+pG+nyNVFK6enp8g6hUSh+0himpqbIyMiAl5cXPDw8sG/fPsTExMg7LCIDdPma\nEEKUTJcuXdhL3uTTQj1lopTonqx8KXv8hCgqSsqEEEKIgqCkTJSSst/TpPgJITWhpEwIIYQoCHrQ\niyglZb+nSfFXycl/h2f/f0COptBeWxt8Pd0mq58QWaOkTAiRm2eFhZhy5FiT1b9jlKdUSbl6XmNj\nY2OUl5dj0aJFcHR0lEkMa9asgY+PDzp16iRWFhgYiCdPnqBt27bYvXs3O640ANy/fx8HDhxAWFiY\nTOIgyoEuXxOlpOz3NCl+xVI9r3FSUhJ+/vlnzJkzByUlJTKpOzQ0tMaE/OLFC/z55584ffo09uzZ\nI5KQAcDa2poScgtESZkQQvC/8axNTU3RoUMH5ObmoqCgAMHBwfDx8cGAAQMQEREhss358+fh5eUF\nd3d3uLi4IDMzky2LjY2Fu7s7zM3NcePGDZHt1qxZg3HjxuH169dwd3eHv78/W1ZaWgp3d3cMHTpU\nbF7nutokyo8uXxOlRPdk5UvZ46/NvXv3UFBQAHNzc6iqqiIiIgIGBgYoKSlBv379EBQUBGNjY2Rn\nZ2Pu3LlISEiAiYmJWD2BgYEIDAyEl5eX2BjRoaGhGD9+PPz8/MQGAeHxeEhMTMT58+dFxsEGUGeb\nRPlRUiaEtHgMwyAuLg7JycnQ1dVFXFwcVFWrTo9cLhfJycnIzs6Guro6BAIBjI2NcerUKYwaNarB\nybGuaQdqKm9sm0Tx0eVropSU/Z4mxa9YOBwOAgICcOzYMfz666/o1q0bAOD27dvw8PBAXl4ebG1t\nYWhoyCZLDocDoVDY7HE2d5ukeVFSJoQQ1NwzTUtLg7OzM/z9/aGrq4vs7Gx2PUdHR8THx+PBgwfN\nFqM82iTNiy5ft2DZD1/JO4QGM+3QleKXo4bEX4HyJopGNmqaG9jHxwcTJ07EuXPn0KlTJwwaNAgC\ngQBA1QNhMTExmDNnDiorK8HhcLB06VIMGjSoUW1+WPZxuSzaJIqN5lNuoVJSUnDmoEDeYZAWxM7D\nBAOG9BBZRoOHEEUlr/mUqadMCJEbvp4uJU1CPkBJuQXzmNRH3iE0mLBCCFWu8n58W2L8amqyGYyD\nkE+Z8p4VSKPNPZ8r7xBICxLSRwvW8g6CEAVHSbkF+87eWN4hkBZEk1Mm7xAIUXiUlFsw6+WT5R0C\naUHeBMwHrMzlHQYhCo2SciOFhYUhMjJS7GdZiYmJwe3btxEYGIg+ffrUubw+yr/5VlZhNjuhUMiO\nuKSMWmL8jKZeE0VDyKdDec8KLcTMmTNx4MABqZfXx5A/rjdqe0LqI3JAP5jKOwhCFBwl5SaSnJyM\nc+fOQUVFBfb29nBwcAAguWd99uxZXLlyBQKBAA4ODnB3d693m7m5uThw4ADmzZsHAFi2bBnCwsLA\n4/FktFeEyFbFP8/AvGq69+U5hm3Bbde+yeonRNYoKTeRixcvIiwsDFpaWlKtP2zYMIwYMQLl5eVY\nvHhxg5Jyx44dUVBQgOLiYrx+/RrGxsa1JuSfHZvuBfim1hIv/yqShsSvzxUfvYp5JUDp6m9kFZYY\n3uLvASmTclFREebPn4+HDx+Cy+XC29sb06ZNk0kciYmJsLKygo2NjchyT09PrFq1Cr169WpQvTNm\nzMC1a9dw+fJlqdvcvHkzEhMTcevWLWRnZzeoXUkktVnt6NGjYBgGo0aNkmm7nxLlPSsouFmzZuHU\nqVMoKChA//790aVLl1rXv3PnDq5evQoej4eysoY/pTp48GBcvHiR7XHXpv2SHxrcDiH1VTHND7Cy\nkncYEm3atAl8Ph8//fSTzOs+ceIEXFxcxJJVbcNs1qWsrAxXrlyBqakpbt68CVtbW6nanDVrFmbN\nmgVTU9nfTJDUZjUvLy+Zt9lU8vPz2RG9qidgaY4pSykpN1JlZSUqKiogFArB5XLZ5YaGhvjXv/6F\n9+/fY+nSpVizZg27PlD1D/Vh8t2xYwe+//57vHz5En/88UeD4xk8eDDWr18PAPDz86t1Xe3QoAa3\nQ5SDmqo61FU15B0GAOClOrfuleTs7du3NS4vLi5GWFgY/vrrL1RUVMDX15ftRaenpyM6Ohp79+4F\nAERFRUFbWxuzZs0CAMyZMwcpKSm4evUqfvrpJ8yePRtubm5s3RcvXsR3332H+/fvIygoSOre+enT\np+Hg4IC+ffsiPj5eJCnX1aYkBQUFWLRoEZ49e4anT5/Cy8sLS5YsYffzhx9+QI8ePZCRkYHCwkIc\nPHgQrVu3rrPNy5cvY/ny5Xj69CmmTZvGHptqcXFx2Lt3L1RVVcHhcJCQkAA1NTWpjkNT0dP734OJ\nzTl/OCXlRvL09MTq1asBAP/617/Y5Tt27MCTJ09QXFwMFxcXdrm1tTV27twJHo8n8i3ZxsYGS5cu\nhbm5OXR0dMAwjEj5nj17kJubC09PT5H2P17eqlUr6OjoSPUtODhFNpfmiOJa6rcF3U1t616xGajk\n5ck7hFrNnj0b8+fPh729Pb766iuMHTuWLVu3bh309fWRnJyM0tJSeHl5oUuXLrCzsxOr5+Pe78aN\nGxEcHAxXV1ex/1+gaozlPXv2IDs7G+7u7lIn5fj4eAQFBaFbt27YuHEjwsPDpW5TEh0dHURERMDA\nwAAlJSXo168fgoKCYGxcNabBvXv3sGbNGqxatQrBwcE4ceIEJk2aVGebAwYMQGJiIts5+VBCQgKO\nHj2KI0eOoFWrVlLH+qmipNxIQ4cOrfFb1JQpU2pcf+rUqezPvr6+7M+1/SOOGTMGY8aMkXo5h8PB\niBEjagubkEZJT09v1t5Dc9DS0sJPP/2EnJwchIeHIz09HZs2bQIAnDlzBrGxsQAAHo+HCRMm4PTp\n0zUmZUkkzf0zevRoAFUzQL17906qukpKSpCWloYnT56Aw+HgxYsXuH79Onr37i1Vm7XhcrlITk5G\ndnY21NXVIRAI2KRsa2uLzp07s/Hm5+eLbV/fNo8ePYrZs2dTQv7/KCl/Qu7fv4/jx4+ja9eu0NHR\nqXP9MDflvafcEh+UagjtYlW8On9N5vV2eFde73rLW2sD4pPuKBw+n4/Y2FjY2NiI/J2qbz0BVYlH\nRaV+09FLun/ckMR58uRJjBkzhr1Kd+jQISQkJIgl5fres759+zZmzJiBgIAA2NrawtDQsN7xNeQ+\neUVFRb23+VQp71mNiLG2tmZfh5LGM6fFTRgNUQTP5B3AB0yi/w/o2lneYUhUXFwMTU1NAMDff/+N\nNm3asAl55MiRiIuLQ0REBIqLi7F7924sX74cAKCvr48XL14AAMrLy3H9+nWxqwg8Ho9dp7Kyst4J\n/WMJCQkiV+NGjhyJ1atXY8WKFY1qMy0tDc7OzvD390dWVhays7PrlZQb0qanpyfWr1+PgQMH1njr\nrqWhpNyCffbrf+QdAmlB3huLj+jFMWxb9dpSE+EYtpV63aSkJGzevBmamppo1aoV4uLi2LKQkBCE\nhYXB2dkZFRUV8PPzYxNvjx490KFDBwQFBcHIyAh6enpiSWXMmDEIDg5GQkICunbtKnJvtb4JqKio\nCJcuXcK2bdvYZfr6+mjfvj2uXr2Kvn371tkmUHUJ3N3dHb6+vmyC9/HxwcSJE3Hu3Dl06tQJgwYN\ngkAgYOP8ONb67Kekbby9vfH69Wt4e3tDXV0dHA4H+/btk+pq36eIwzTk2glReikpKThzsOkGbSDk\nY3YeJhgwpIe8wyBEKnl5eewrUR+6du0aRo5sujEeGncNhRBCCCEyQ5evWzCPSQ2byIKQ+lLjqoCr\nWiTvMAhReJSUW7C553PlHQJpIda6W6MN3ss7DEIUHiXlFmytu7W8Q2iw/Px8kRF3lE1Li7+ttjqY\nwiYMiJBPBCXlFqxnB+V9ujH9YQZ6dlXewStaYvx5lJQJqRM96EWUkrKPJkXxE0JqQj1lQojcPHtX\nBkFh091rbqutjva6ijEhByHSoKRMlJKyj71M8VcRFL7HgsT7MoioZmvdraVKypMmTcL06dNF9qm4\nuBgDBw5EZmZmo+Ooa57hmgQHB6OoqAg7duwAACxcuBC9e/fGuHHjGh3PrVu38OzZMzg5OYks/3iG\nq/q4ceMGlixZgtLSUnC5XIwcORILFy5sdKwA8OOPP2LKlCkyGx/7999/R1RUFLKyspCQkNDg+ayb\nAl2+JoS0eGZmZsj7aBar3NxcmJmZyaT+EydO4O+//673didPnsS9e/cANG7u5Y9lZmbi9OnTYssb\n2kZ5eTmmT5+O7777DqdPn0ZycjJmzJjR2DBZW7ZsQUlJiczqs7OzQ2JiIj777DOFG9KTespEKSlz\nLzCE0QsAABqOSURBVBOg+BXNh0n5559/xpdffom8vDw2KVdUVGDFihX4888/IRQKERgYKDK1Y3R0\nNOLj48HlcqGlpYXDhw+zZQ2d2xiomkFq/fr1iI6OFiuLiYnB4cOHoaKigh49emD16tXg8XgAqqZ0\nPX/+PIqLi5Gbm4sBAwYgIiICALB9+3Zs3boVRUVFuHnzJoYPH47Q0FC23ry8PEydOhUPHjyAlZWV\nyHCekqSkpKBPnz7o1q0bu0xXV5f9+eXLl5g/fz5ev34NhmEQERHB9k6joqKQn5+Ply9firVZWloK\nb29vCAQC+Pn5QVVVFVu3boWJiUmd+5mVlYXIyEjk5+fj+fPnCA8PxxdffCHVcZcnSsqEkBbPzMwM\nKSkp+Ouvv7BmzRpoa2ujsrIS5ubmAICdO3dCRUUFiYmJKCsrg6enJwYOHAgzMzPk5+djw4YNyMrK\nqnHmr4bObQwATk5O2LBhA54+fSqy/OzZszh+/DiSkpKgpqaGsLAwrFu3DosX/2+SmdTUVBw+fFjs\nknlQUBC0tLSQkZGBqKgokTKGYXD79m3s3r0b2tra6NOnDx4/fsweB0kePXpU6zqhoaGYOHEinJyc\nkJOTg/Hjx+PcuXNseVZWVo1t8ng8JCUloVevXti/fz8MDAzE6pa0n6ampoiNjYW6ujpu3ryJwMBA\npUjKdPmaKKX09HR5h9AoFL9iMTU1RV5eHpKSkrB8+XL89ttvyMvLg4WFBYCqJJiamgovLy+MGTMG\npaWluHv3LgBAT08Pjo6O8PX1xbZt2/Dq1asa22joNAMzZ87Exo0bRZalpKRg3LhxUFNTA1CVaFNS\nUthyDocDT09PifewGYapMR4OhwNnZ2fo6OiAw+GAz+fXOGdyfaWlpWHjxo3w8vJCcHAw3r9/j7dv\n3za6zdr2U1tbGwKBAEeOHEFaWhqeP3/e6P1oDtRTJoS0eNVJubi4GPv27cOBAwfw8OFD2NnZAQBU\nVVWxaNEiuLq61rh9TEwMBAIBTpw4AScnJ8THx4vdj27IvUsOhwNvb2+sW7cONjY2bB0cDkdkfufK\nykqx+mv7ElBbLA358mBpaYmDBw9KLFdVVcWePXskzvzUmHmRJG27e/du7Nu3DwEBARgyZEiD629u\n1FMmSknZ72lS/IpFU1MTb968QevWraGmpobhw4fj+PHj7CVZDw8PbNy4EYWFVSOgfJwIKioq0LZt\nW/j7+8PKyortRVf7eJ5haTEMAxUVFQQFBeHEiRPsckdHR+zduxdlZWUAgG3btok8SV1XktPQ0GhQ\nPJI4ODggMzMTGRkZ7LInT56wP7u5uSEyMpL9vb5tamhosFNIfrhvte1nUlISQkJC4OPjg4cPH0pc\nV9EmSqSkTAghAIyMjNiesJubGyorK2FkZASg6oErDw8PeHl5wd3dHR4eHiIJ2tvbG+7u7hg5ciS6\ndu0KR0dHkbrHjBmD6OhoeHl5ISwsTOqYqnu048aNQ+vWrdnlw4cPx6hRo+Dh4QEnJycIhULMmzdP\nZLvaesP29vZ48OABXF1dMXbsWJEnmxvSo1dTU8P27duxZMkSODo6wtHREbGxsWz5qlWrUFJSAkdH\nR7i7u2P27Nk17qckAQEBmDBhAry9vbFr1y6R7SRt+9VXX2HRokXw9PREdnY29PX1UVQkPinK3Llz\nMX/+/PrsbpOi+ZRbqOqnJZUVvecrXw2Jv6b5aWnwEKKo5DWfMt1TJoTITXtdDUqahHyALl8TpaTM\nvUyA4ieE1IySMiGEEKIgKCkTpaTs78lS/ISQmlBSJoQQQhQEJWWilJT9nibFTwipCSVlQgghREHQ\nK1FEKbXE93wViazif/uqCO/yS2UQUc109XjQN9RqsvoJkTVKyoQQuXmXX4r/br/SZPX7BvWXKilP\nmjQJ06dPF/miUVxcjIEDByIzM7PRcSQmJsLKykriBBGSrFu3DomJiVBXV4elpSU2b97c6FgA4Nat\nW3j27JnI0JxA1TSK2tramDVrVr3rvHHjBpYsWYLS0lJwuVyMHDkSCxculEm8P/74I6ZMmYJWrVrJ\npL7ff/8dUVFRyMrKQkJCAjuNpCKgpEyUkjL3MgGKX9F8OJ9ytdzcXLFJJRrqxIkTcHFxqVdSTk9P\nx5kzZ3Dq1KkGDX1Zm+pxqj9Oyg1tp7y8HNOnT0dcXBw7p/K7d+8aHWe1LVu2YOzYsTJLynZ2drCz\ns4OXl5fMj21jUVJuwbIf1jzFHCFNoQLl8g5Bog+T8s8//4wvv/wSeXl5bFKuqKjAihUr8Oeff0Io\nFCIwMBBjx45lt4+OjkZ8fDy4XC60tLRw+PBhtmzOnDlISUnB1atX8dNPP2H27Nlwc3OTKq7S0lIU\nFxdDS0u8tx8TE4PDhw9DRUUFPXr0wOrVq8Hj8QAAfD4fOTn/r717D4qq7v8A/j6wu6y4XBTkKpmX\nnkwNHW954VEybATCRk3GMJu8MaaONpQpjiiiz3gpK02cUnvGIcXrU055yT82tbxMmT4SqXnJayKi\ncQkhyWXP8we/3Z/A7sIuZ/ecw75ff3GW736/7/2KfDjney63ANQV99zcXGzfvh0AsHnzZmzcuBFV\nVVUoLCzE8OHDMX/+fGu/RUVFmD59On777Td07doVmzZtajKn5ba9loIMAIGBgdav79+/j7fffhul\npaUQRRHLly+37p2uXLkSFRUVuH//fqMxHz58iDFjxqCkpAQTJkyARqPBxo0b0bFjRwBAfn4+jh8/\njurqaty+fRsDBw7E8uXLAdQ9o3nFihWoqKhAcXExFi9erIrnKbMoezF3HjYkamhYckd07iJ3Cts6\ndeoEo9GIX3/9FatWrYLBYIDZbLY+JSovLw8+Pj44cOAAampqkJKSgkGDBqFTp06oqKjA2rVrcf78\neWg0jX+lrlu3DrNmzcKoUaOQkpLS7ExxcXFISkpCfHw8JkyYgBkzZliL8+HDh7Fv3z4cPHgQWq0W\nmZmZ+OCDD7Bw4UIAjvd4p02bhrZt26KgoAArV66s9z1RFHHu3Dls3boVBoMBffv2xfXr163zYM+1\na9cctpk/fz5ee+01jBw5Erdu3UJaWhq+//576/fPnz9vc0y9Xo+DBw+iT58+2LlzJ9q1a9eo7yNH\njuCLL75odBTiiSeewGeffQadTofCwkJMnTqVRZmULXmSeh9IYao1QeOr3h9fb8yv1f7VdCOZWJ6n\nfPDgQWRnZ+Obb75Br1690LlzZwB1RfDmzZsYPXo0gLo9uEuXLqFTp04ICgpCQkICUlNTkZiYiLFj\nxyIkJKTRGK48+ycjIwPTp0/Hhg0bkJiYiEOHDqFNmzb49ttv8eqrr0Kr1QKoK7Tp6enWotwUURRt\n5hEEAS+++KL1uccxMTGoqKhwOndDR48eRUlJCT7++GMAwN9//43y8nIEBwe3aExBEJCSkmJzWcBg\nMOD333/H6dOncevWLRQXF7f4c3iCen8rUIvNPX5b7gjkRTL6tkU3uUPYYSnK1dXV2LFjB3bv3o2r\nV69i2LBhAACNRoMFCxZYH+3Y0IYNG1BSUoL9+/dj5MiR+PLLLxutR7u6dhkQEID58+ejoKAAp06d\nsmZ6/JnEZrPZqf4dtXXlj4cuXbpgz549dr+v0WiQn59vLbxSjNnUe7du3YodO3ZgypQpGDp0qMv9\nexqvUyYir+fv74+ysjK0b98eWq0Ww4cPx759+6yHZJOTk7Fu3bp6z1B+XG1tLcLCwjB58mR07doV\nly5dqvd9vV6Pe/fuAahfTB0xmUz4+++6x1pWVlbixo0b6NKl7vh/QkICtm/fjpqaGgDApk2b6p20\npdVqrc8O/vHHHxv17efn53QeR0aMGGE9eczixo0b1q8TExOxYsUK67azY/r5+aGkpARA/bl3VMwP\nHjyIjIwMjB07FlevXrXbVmlPL+aeshdbHR8hdwSXmUy10Gh85Y7hMm/M7y/UNHotMEiP1GkDpIpl\ns//mCg0Nte4JJyYmYs2aNQgNDQUAjBs3DsXFxRg9erT1ZKpdu3bBYDBAFEWMGTMGJpMJNTU1GDp0\nKBISEur1PX78eMyaNQt79+7FM888g1WrVjWZ59q1a5gxYwb8/OoebZmVlWU9wWn48OE4f/48kpOT\nIQgCnn32Wbz11lvW986dOxcTJ05E9+7d0bZt20Z7xvHx8Vi7di1GjRqFgIAA5OXlWc9sdmWPXqvV\nYvPmzVi4cCH++qtumWLIkCHIyckBACxbtgxZWVlISEiATqdD586dkZuba31/U2NOmTIFEydORExM\nDMaMGYPXX3/d+j57733zzTeRkZGB8PBwjBgxAsHBwaiqqmp00tzcuXPRv39/rFmzxunP7Q6CqLQ/\nE8gjjEYj/vHB/KYbEkmkbMrbiBlh+/AvkdIUFRUhKiqq0etnzpzBCy+84LZxuafsYSUlJXj33Xfx\nySefQK/XY+nSpViwYIH1r2FPevTOvzw+JimTztcXfm4+8cxHJ801pkStGYuyDARBgNFoRHJysqw5\nhp74r6zjk3JseTkFA6Mb7xVISWhwcw4iaoxF2cMEQUDPnj1x5swZ6w0ERFHE2bNnsWfPHgiCgOTk\nZAwaNAhFRUXYtWuXda1oyZIlyMzMhF6vt9keqLtm79KlS7hz5w5EUURWVhZ8fdW7dknKpPZ7dxMp\nFYuyDHx8fDBw4ECcOHECQF1R3rZtG5YtWwatVoucnBz0798fUVFRqKysRHV1NUpLSxEREQG9Xg+z\n2WyzveXGBeXl5cjKyoKPj+OT6/+d4L51EXczmUw2b9SgFkrLH/bIhEd370Eb3sGt45jN5iZ/Lonk\nZu86bk9Qzm8FL2H5h46Pj8fq1asBAFVVVSgtLbWekWnZDgsLQ1xcHE6ePIm7d+9aTy6orKy02x4A\nYmNjm/WLL3KRMs42JGUofWsKwv+vKB87dgzA/9/juuG25TV737e1LQgCamtrER0dzcJMinb37l3c\nvHkT0dHRAGz//LsLi7JM/Pz80LVrVxw6dAgGgwHR0dGYN28e/P3967UbPHgw1qxZA0EQkJaWBqDu\nnrL22jvDMH9aiz4DtS61wf44d/MnAEC7J+ou+5F6u8J0F1VX/4SvjwawcxWM1lcHncbzJz4SWfj5\n+WHw4MHWbU8u1bAoe9jj19SNGjUK+/fvtxbc1atXQxAEtGvXDnPmzAFQd9OBkJAQ619slj7stW84\nhiOzjOkSfSoi6WRN+BRPRvV36xhqXxNXc341Z/cEFmUP69ChAzIyMgAA7du3x7Zt2wAA3bt3R3Z2\nts33zJgxo9Fr9trHx8dLFZWIiDyMNw/xUkajEb5a6Z53Surg46eFj17Zh4ZDAyMQHtxR7hhENvHm\nIeQ2d0Y274ky1HoM+M96hAxV79PBiFo7FmUvFrvtQ7kjuExplxQ5S4r8vhofp+8/rY8Ob9GYFmpf\nF2R++ag5uyeo97catVi+sUzuCNQCqdMGILxL4+f2EpF68WJBInKa2vd0mF8+as7uCdxT9mLJk7i2\nqGaPtBoUFFXKHUPVwgw6RAYq+8Q38i4syl5s7vHbckcgktV7Sd1UWZTVvC6r5uyewKLsxd5L6iZ3\nBJdVVFQgKChI7hguY355WfKHGXRyRyGqh0XZi/WOCpA7guvUnB1gfrmpPL+a9zTVnN0TeKIXERGR\nQrAokypZntqiVswvL+aXj5qzewKLMhERkULw3tdeymg0om9fXhJFROQMd9/7mnvKRERECsGiTKqk\n9nUp5pcX88tHzdk9gUWZiIhIIbim7KW4pkxE5DyuKRMREXkJFmVSJbWvSzG/vJhfPmrO7gksykRE\nRArBNWUvxTVlIiLncU2ZiIjIS7AokyqpfV2K+eXF/PJRc3ZPYFEmIiJSCK4peymuKRMROY9rykRE\nRF6CRZlUSe3rUswvL+aXj5qzewKLMhERkUJwTdlLcU2ZiMh57l5T1ritZ1K8m1f/kDsCESlUYJAe\nwSFt5Y7hdViUvdiuzafkjkBECpU6bYBbivKxY8cQFxcneb+tBdeUiYiIFIJ7yl4seRLXlInItkda\nDQqKKgEAYQYdIgP9JOmXe8mOsSh7sbnHb8sdgYhU4L2kbpIVZXKMRdmLrY6PkDuCy0ymWmg0vnLH\ncBnzy8ur8mt1ELS6Fo0XZmjZ+x/HNWXHWJS9WLfs1+WOQERupl/4PjQ9essdg5qJJ3oREZHHcC/Z\nMdn3lE+cOIEDBw5AEAQkJiZiyJAhHhv74cOH2L9/P8aNG+exMe3JzMzEihUrbH7PVs4NGzbg3Llz\nmDp1qss3AXn0zr9ceh8RSU/n6ws/X+l/JQshYZL3Se4ja1Gurq7G119/jZycHAiCgOzsbPTp0wf+\n/v4eGV+v1yuiIDfFVs6ZM2di9+7dLep36In/tuj9RCSdLS+nYGB0VLPaqnldVs3ZPUHWonz58mX0\n7t0bWq0WANCrVy9cuXIFsbGxeOeddxAbG4uLFy+iZ8+eSEtLAwBcuXIF+fn5MJvNCA0NxezZswEA\nZ8+exZ49eyAIApKTkzFo0CCHYx85cgRHjx7Fw4cP6+2h2hvXnsOHD+PUqVMoKSnBiBEjkJSUZLft\nd999BwAYNmwYAKCwsBAXLlxAamoqTCYT8vLyGo1rL6c9zszDvxPcd6s4dzOZTNBoZD/Q4zLml9cj\n0Qw/g0HuGPVEKiwPyUPW/1UPHjxAQECAdTsgIAAPHjwAAFRVVWH06NEIDAzEvHnzkJaWBlEUsWnT\nJmRmZiI4ONj6PrPZjG3btmHZsmXQarXIyclBv379rMXelvj4eMTHxyMzM7Pe67bGdeSf//wnnn/+\neTx69AgLFy50WJQjIiLwyy+/4PLly6iqqkJ5eTmioqKsc2FrXHs5bXF2HiIXrWmyT6LWSP/WFFy+\nV2LdY7M8uUjO7RsAYprZ3vKakvI3dzsuLk5ReVzZdidZi7LBYMCtW7es25WVlYiJiQEABAcHWwuv\nTqezfv/x1x9/X2lpKVatWgWgrrCWlZUhLMz5tRRb4zpy4cIFnD59Gnq9HjU1NQ7bRkZG4siRI9i/\nfz/MZjM6duyI/v37uzSuLVLOA1FrFhQUhLie/7BuN/xly21uO9p2J1mL8lNPPYVdu3bhlVdegSiK\nKCwsxMsvv2y3fUBAAMrKyvDHH38gJCTE+npgYCCio6Mxb948j61HW2zZsgXvv/8+7t+/jxMnTjhs\nGxAQgCtXruC5555DaGgodu7ciZdeekmyLM7Og2H+NMnG9jRTrQkaN5wU4ynML6/7PtWouPmT3DFc\nVlFRgaCgILljuESK7KGBEQgP7ihRImWR9X+Vv78/kpKSkJ2dbV0DbdOmjd32giAgPT0d69evh9ls\nRlBQEDIyMiAIAtLS0rB69WoIgoB27dphzpw5HvkMTz/9NLKysvDkk0/WOxRvj16vR0JCAvz9/fHV\nV1+1+I+I/Px83L59GykpKU7PwyxjeovGJiKSQ9aET1ttUebzlL2U0WiEr/ZPuWMQUQM+flr46HlL\nS0fk3FPm85TJbe6MXCh3BCJqYMB/1iNkKB8W4614Ry8iIpWxnA2sRmrO7gncU/Zisds+lDuCy9R+\nnSzzy0sJ+X01PjYfKqGPDpchDSmFev9XUYvlG8vkjkDktVKnDUB4l5CmG9qg5jtiqTm7J7Aoe7Hk\nSVy3IpLLI60GBUWVLr03zKDj841bKRZlLzb3+G25IxCRCxYN7YDIQHVeEsR7XzvGE72IiIgUgnvK\nXuy9pG5yRyAiF4QZXLsVrxJwL9kxFmUv1juq6TuQERGR5/DwNamS2q91ZH55Mb981JzdE1iUiYiI\nFIL3vvZSRqMRffvykigiIme4+97X3FMmIiJSCBZlUiW1r0sxv7yYXz5qzu4JLMpEREQKwTVlL8U1\nZSIi53FNmYiIyEuwKJMqqX1divnlxfzyUXN2T+Dhay91+vRplJeXyx2DiEhVgoOD0a9fP7f1z6JM\nRESkEDx8TUREpBAsykRERArBokxERKQQLMpEREQKwecptzI///wz9uzZAwBITU1Fr169nG7rTB9S\nkyJ/bm4uioqKoNPpMHz4cMTHx7s9d1OZbLlw4QLy8vLQo0cPTJo0yaU+pCZFfrnm35nsGzduxJ07\nd2A2mzFz5kyEh4c73Yc7SPEZ1DD/O3bswMWLF+Hj44P09HRFzL8U+SWZe5FajdraWnHRokViTU2N\nWFNTIy5evFg0m83NbutsH0rML4qimJubK967d88jmZvK5GjuCgoKxB9++EHMy8tzuQ8pSZFfFOWZ\nf1fnrbCwUNy4cWOL+pCKFJ9BFNU1/xcuXBA//fTTFvUhBSnyi6I0c8/D161IcXExIiMjodPpoNPp\nEB4ejuLi4ma3vXPnjlN9KDG/hSjDlX7Ozl1sbCwMBkOL+pCSFPktPD3/rs6bXq+HRqNpUR9SkeIz\nWKhl/i9fvozo6OgW9SEFKfJbtHTuefi6FXnw4AH8/f2xZcsWAIC/vz8qKysRGRnZ7LaWr5vThxLz\nR0ZGQq/XY926dWjbti3eeOMNREREuD27s/nd2YerpBpbjvl3Nfvhw4eRlJTUoj6kIsVnANQz/0uW\nLMGff/6JnJwcl/uQihT5AWnmnkW5FTEYDKiursa0adMgiiI2b96MwMBAp9qazeZm96HE/AAwZcoU\nAMD169fx+eefY968eYrL784+XCXV2HLMvyvZf/rpJ0RFRVn3dOSce1fHb/gZAPXM/9KlS3HlyhWs\nX78emZmZqvvZb5gfkGbuefi6FYmIiKh3CLe4uNjuX2r22jrTh9SkyP84rVYLX19f94R1MVNDDQ91\nqWX+LRwdqvPk/Dub/erVqzh//jySk5Nd7kNqUnyGxyl5/i2Cg4NRW1vboj6k0JL8ZrO50estmXve\nZrOVKSgosJ5BOH78eMTGxgIATp48CT8/v3qPa7TX1t7rasn/0UcfoaysDG3atMHUqVPRoUMHRebf\nu3cvzp49i/LycvTo0QPp6ekO+1BLfrnm35nss2fPRkhICHx8fBATE2Pdw5Fz7qX6DGqY/w8//BCV\nlZXQaDSYPHmy9TCxWn727eWXYu5ZlImIiBSCh6+JiIgUgkWZiIhIIViUiYiIFIJFmYiISCFYlImI\niBSCRZmIiEghWJSJiIgUgkWZiIhIIf4HjH9IR+MvqEUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1098437d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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+/To7d+40uQ97lgEEBwdz4MABNm7cSFFRkVGOKrVazaBBg4DKBIw1c2JZ6tPc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\nLuHpKHBXPCZovfjii1bXHTp0aL37y2l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gXbt2BWzzHmxUctmxNyBwCaVBTcj08Xe1DKcT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\nEZE0uGgREZE0/g+JdcEPpQuFAAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108010390>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UYo14IyMjCIVCALWFQ95ck76xPmXtO3r0KIYPH/5WJHqALtASolGCg4MVOl5P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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10826f650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GRuDz+QAAe3t75OTkgGEYiXJevXqFgoICODg4QENDAwDg5OSE58+fo3HjxlLL\nkZXQ1CROZdqhJlTVnnfv3sXVq1fB5/NRWlpabb2hoaE4efIkCgoK4OHhARcXF5nLqjIeadubk5MD\nBwcH8Hg86OrqwsjISG7slpaWSEhIwNGjRyESiWBtbY0vv/xS7jrK1JudnS1xvD179gxCoVDpeqW1\ns7z2rMv9CFQmfJMnT4ZAIOB6sFT5vXj/+2hnZ4dXr14BgNT2bNy4scxylP1+yWu31q1biyUzVeUD\ngKGhIV6/fo2Kiopq6/iwHGntlpubC3Nzc6X3izLLW85dLvb5xf//v8X8Kfjr4X0A4N4LUXV/+8f+\nXDWtvupX9PPPP/8MV1fXBhMPtWfdf7516xYmTpzYYOKR9fnDfV/f8ah7e5JPl0pHOTMyMoKVlRVm\nzJgBPT09hdbJzc3F27dvoaenh5SUFAQGBkJfX19qOXp6enj8+DHKy8vBMAwePHjA/QIrrRxVxqlK\n5eXlEIlEEhdXH6pJnNu3b8eyZcuQk5ODixcvVru8qakpBgwYgHfv3iEiIoK7KKuPeCwsLJCSkgKR\nSIS3b98iLy9P7vKGhoZ49OgR2rdvDzMzM+zZswf9+vVTKC5F6jU3N5d6vNWkXmntLK895bWbtONH\nmf3IsiyuX7+O5cuXi/WuVbd/FT1ugf99H3V1dfHkyRMEBgZCJBLJ/P4qW74syh7/qiCv3eTtl9ru\nR4v5U6RO1zAzQeeWzcWmffiH/GN9lnUh0dA+v3/x3RDiofakz/S57j6TT5PCCY0igwAwDINhw4bh\nxx9/BMMwMDExwaRJk+Suo6+vjx07diAjIwNdunSBgYEBAEgtx9DQED4+PliwYAFYlkWPHj1gYmIi\nt5wqu3btQmZmJvz9/WsUpyq5uroiKioK5ubmGDt2rMzlahKns7MzIiIiYGtrC0PD6u+p3759O54+\nfYqioiKxQR+q1LbdlInHyMgI7u7u+L//+z8IBAKFbrvh8/nw9vaGnp4eYmNja5SgyqrXyMhI5vGm\nbL3S2llee37YbizLct9BacdPdfvxfQzDQCQSYfHixdDQ0ICJiQmCg4Ohp6cnd/8qetwC//s+pqen\no2vXrtz3UVZ7Klu+LPKON0XPYcouI28/ytsvtd2P/A+SloZIXS4kKE7VUoc41SFGgOIkRFH1/mLN\n8PBwREVFNZhyCPnUFRUVYd++ffjmm2/AMAyWL1+OAQMGiA36QRq2+Ph4uLm51XcYhBCiVujFmp8u\nerEmIZ9NbDLuAAAgAElEQVQZLS0tZGdnY+HChQAqnwmhZEb9vLpQs3dE8a0soG9rpeJopDt//rxa\n/HJLcaqWOsSpDjECFCchiqr3hEZVvSrUO0OIYrS0tKodQY40fEmDQ2u0nsd/Yj5aQkMIIYR8DPV+\nyxkhhBDlxMfHo2lemcLLa2jyoKlZObrcx+yhIYSQhoRuOft01XsPDSGEEOXtipc/CuD7AoM9YGFv\nWofREEIIIfWn5uOjEkIIIXK8/w6NhoziVC11iFMdYgQoTkIURT00hBCihvxGSI5ypqXBg7am5NDT\nRo34HyMkQgghpF7QMzSEEKJm4uPjMfuaZOLyk68j2jSr/v1ThBDyOaJnaD5d1ENDCCFq6CdfyaG2\nzQ206yESQgghpH7RMzSEEKKG2jQzlPjP0kinvsMSoy731VOcqqUOcapDjADFSYiiKKEhhBBCCCGE\nqC16hoYQQtRMfHw83NwkBwUgpK6wLIvs7GxUVFTUdyiEyKWhoQFzc3MwjORzhvQMzaeLnqEhhBBC\niFzZ2dkwNDSEnp5efYdCiFxFRUXIzs6GhYVFfYdCPiK65YwQQkidUJf76inO6lVUVFAyQ9SCnp4e\n9SR+hiihIYQQQgghhKgtuuWMEEJInejcuXN9h6AQirNmnr0pRfbbd3VWvrmBdoMbuY8Q0jBRQkMI\nIYQQpWW/fYcZcY/qrPyffB0VSmiio6OxZ88eWFpaAgBcXFywYsUKlcQQFxcHBwcHODs7K7xOSEgI\nCgsLsX37dgDAzJkz8a9//QtDhw6tdTy3b9/Gs2fP4OPjIzY9OjoaBgYGCA0NVbrM69evY+7cuSgp\nKYGGhgZ69uyJmTNn1jpWAPj5558xcuRI6OrqqqS8s2fPIjo6GsnJyTh48CDatm2rknKJ+qNbzggh\nhNQJejZFtdQlzo+NYRgEBwcjLi4OcXFxKktmAODo0aO4f/++0uudOHECDx8+5OJTlZs3b+LUqVMS\n02taR1lZGcaPH48ff/wRp06dwvHjxzFhwoTahsnZuHEjiouLVVZe165dERcXh9atW6u0XYn6ox4a\nQgghhKg1WW+gKCgowOzZs/Hs2TNkZGQgICAAc+fO5eavW7cOBw4cgIaGBvT19bF//35u3qRJkxAf\nH4+rV69iw4YN+OGHH9C3b1+F4hk8eDBWrVqFdevWScxbv3499u/fDx6Ph1atWmHJkiXg8/kAgF27\nduHChQsoKipCZmYm2rVrh8jISADAli1bsGnTJhQWFuLWrVvo1q0bZs2axZWblZWFsWPH4vHjx3Bw\ncMDmzZurjbNqCPgWLVpw04yMjLh/5+TkYNq0acjNzQXLsoiMjOR6RaKjo5Gfn4+cnByJOktKSjBw\n4EBkZ2cjKCgImpqa2LRpE6ytravdzuTkZERFRSE/Px/Pnz/HvHnz0K9fP4XanXy+KKEhhBBSJxra\nMx+yUJzqjWVZbNu2DSdOnAAAdOnSBTNmzAAAGBoaIjIyEiYmJiguLoa7uzuCg4PRtGlT5OfnY/Xq\n1UhOToampuTl0Jo1axASEoI+ffrA399fqZh8fHywevVqZGRkiE0/c+YMjhw5gmPHjkFLSwvh4eFY\nsWIF5syZwy2TkJCA/fv3S9zmFhwcDH19fdy4cQPR0dESbXDnzh3s3LkTBgYGcHNzQ2pqKmxtbeXG\nmZKSIneZWbNm4ZtvvoGPjw/S09MxbNgwnDt3jpufnJwstU4+n49jx46hbdu22LNnD0xMTCTKlrWd\nQqEQW7duhba2Nm7duoUxY8ZQQkOqRQkNIYQQQtQWwzAYPXo0QkJCpM7X0NDA8ePHkZaWBm1tbWRn\nZ6Np06Zo1KgRvL29ERgYiL59+2LQoEEwNTWVWL+m7x///vvvsWbNGrFbo+Lj4zF06FBoaWkBqExS\nxo0bxyU0DMPA399f5jM7LMtKjYdhGPTq1QuGhoYAAIFAgPz8/BrF/b7ExERkZ2dj7dq1AIB3797h\n9evXMDY2rlWd8rbTwMAAGRkZuHr1KtLT0/H8+fNabwf59NEzNIQQQuqEujzzQXGqP1lJx507d+Dn\n54esrCy4urrC1NRUbNn169djw4YN0NTUhI+PD54+fSpRRk2e1WAYBgMHDsSFCxfw8uVLrgyGYSAS\nibjlRCKRRPnyEih5sdQk8bK3t8ejR7IHdtDU1MSuXbsQGxuL2NhY/PXXXzA2Nq5VndWtu3PnTkyY\nMAEVFRXo1KlTjcsnnxdKaAghhBDySUpMTESvXr0watQoGBkZIS0tTexCuqKiAubm5hg1ahQcHBzw\n4MEDsfX5fD5evnwJAGKJSHVYlgWPx0NwcDCOHj3KTff29sbu3btRWloKANi8ebPYiGXVJQg6Ojo1\nikeWHj164ObNm7hx4wY37f2krm/fvoiKiuI+K1unjo4OsrOzAYhvm7ztPHbsGKZOnYpBgwbhyZMn\nMpetTTJFPj2U0BBCCKkT6vLMB8Wp/rZu3QpfX1/4+vrihx9+4KYPGjSIS2rWrVuHjh07chfYIpEI\nAwcOhK+vL3r27IkvvvgC3t7eYuV+/fXXWLduHQICAhAeHq5wPFU9KUOHDkXjxo256d26dUP//v3h\n5+cHHx8flJeXY/LkyWLryeuF8fLywuPHj9GnTx8MGTJEbASxmvQkaWlpYcuWLZg7dy68vb3h7e2N\nrVu3cvMXL16M4uJieHt7S7StInWOHj0aw4cPx8CBA/Hbb7+JrSdr3YkTJ2L27Nnw9/dHWloajI2N\nUVhYKLFcWFgYpk2bpszmkk8Yw1KKSwghaqVqZCJCPpasrCw0a9ZMbBq9WJM0VNKOVwC4du0aevbs\nWQ8RkbpGgwIQQgipE+fPn1eLXgWKs2YsjXQo4SCENAh0yxkhhBBCCCFEbVFCQwghpE40pN4EeShO\nQghRb5TQEEIIIYQQQtQWJTSEEELqhLq8N4XiJIQQ9UaDAhBCiBpKe/Kq1mUYNeLD2FRfBdEQQggh\n9YcSGkIIUUN/bkmqdRmBwR51mtCoyzMfFCchhKg3SmgIIYQQorTXrwrxJr+kzsqnHkRCiKIooSGE\nEDXkN0LyxZpaGjxoayr+tnCjRnxVhiShob03RRaKs2be5JeopKdQFkV7EKOjo7Fnzx5YWloCAFxc\nXLBixQqVxBAXFwcHBwc4Ozsrtd6KFSsQFxcHbW1t2NvbIyYmRiXx3L59G8+ePYOPj4/Y9OjoaBgY\nGCA0NFTpMq9fv465c+eipKQEGhoa6NmzJ2bOnKmSeH/++WeMHDkSurq6Kinv7NmziI6ORnJyMg4e\nPIi2bduqpFyi/iihIYQQNRR2IVNi2k++jnBsZlgP0RBSfxiGQXBwMEJCQlRe9tGjR9G7d2+lEprz\n58/j9OnTOHnyJBhG8R8YFHHz5k3cuHFDIqGpaT1lZWUYP348tm3bhhYtWgAA3rx5U+s4q2zcuBFD\nhgxRWULTtWtXdO3aFQEBASpvW6LeKKEhhBA19KNXU4lpZmUFKE9+UqPyGFNzaFhY1jYsMQ2pN0Ee\nilP9sSwrdXpBQQFmz56NZ8+eISMjAwEBAZg7dy43f926dThw4AA0NDSgr6+P/fv3c/MmTZqE+Ph4\nXL16FRs2bMAPP/yAvn37KhRPSUkJioqKoK8v2cO0fv167N+/HzweD61atcKSJUvA51f2lgoEAqSn\npwOoTIzWrVuH3bt3AwC2bNmCTZs2obCwELdu3UK3bt0wa9YsrtysrCyMHTsWjx8/hoODAzZv3lxt\nnPHx8XBzc+OSGQAwMjLi/p2Tk4Np06YhNzcXLMsiMjKS6xWJjo5Gfn4+cnJyJOosKSnBwIEDkZ2d\njaCgIGhqamLTpk2wtrYGAOzatQsXLlxAUVERMjMz0a5dO0RGRgIAkpOTERUVhfz8fDx//hzz5s1D\nv379FGp38vmihIYQQtSQ44JvpU6v6RMN/DnLABUnNIR8DCzLYtu2bThx4gQAoEuXLpgxYwYAwNDQ\nEJGRkTAxMUFxcTHc3d0RHByMpk2bIj8/H6tXr0ZycjI0NSUvh9asWYOQkBD06dMH/v7+CsfTuXNn\n+Pr6wsvLC0FBQZgwYQKX2Jw5cwZHjhzBsWPHoKWlhfDwcKxYsQJz5swBIL+nJTg4GPr6+rhx4wai\no6Ml2uDOnTvYuXMnDAwM4ObmhtTUVNja2sqNNSUlRe4ys2bNwjfffAMfHx+kp6dj2LBhOHfuHDc/\nOTlZap18Ph/Hjh1D27ZtsWfPHpiYmEiUnZCQgP3790v0fgmFQmzduhXa2tq4desWxowZQwkNqRa9\nh4YQQkidUJf3plCc6o1hGIwePRqxsbGIjY3lkpkqGhoaOH78OHbu3AltbW1kZ2cDABo1agRvb28E\nBgZi8+bNePVK+lDosnp/5Jk6dSpOnz6N8vJy9O3bF8XFxQCA06dPY+jQodDS0gJQmaTEx8crXC7L\nslLjYRgGvXr1gqGhIRiGgUAgQH5+vtJxfygxMRFr1qxBQEAAQkJC8O7dO7x+/brWdTIMA39/f6m3\n8hkYGCA7OxuHDh1CYmIinj9/XuvtIJ8+6qEhpIG6ePEi4uLiwDAM+vbtC09PT27eqVOn4O3tLbZ8\neHg4oqKi6jyuV69eIT09vdqHMdevX487d+5gzJgxcHOTfID9U1RSUoKjR49i8ODBYtOvX7+O3bt3\nw9TUtNqHbZOSkuDi4gJDQ/nPwpRN/3et433fW119pGVmcZ8tDQwgaGQkZw1CGg5ZScedO3cwYcIE\njB49Gq6urjA1NRVbdv369cjOzsbRo0fh4+ODAwcOwMbGRqyMmj6rYWhoiFmzZuHGjRtISkpC165d\nAQAikYhbRiQSKVW+vGVrknjZ29tj3759Mudrampi165dMs9HNamzunV37tyJP/74A6NHj0anTp1q\nXD75vFBCQ0gDVFRUhMOHD2PRokVgGAYLFixA27ZtoaenB6DyvucPE5qPoaSkBDt37sTEiROrXfb7\n77/H3r17P0JUDQefz5dIZoDKJGXs2LFwdHSstoyWLVtiy5YtCA0NBY8nuxO908V/ahVrdbb39691\nQqMuz3xQnJ+uxMRE9OrVC6NGjUJycjLS0tLELqQrKipgbm6OUaNGIS4uDg8ePBBLaPh8Pl6+fAmg\nMvmQ952sUl5eDpFIBG1tbRQUFODp06ewt7cHAHh7eyMqKgpBQUHQ0dHB5s2bxR7w19LSQmFhIfT1\n9fH3339LlK2jo6N0PPL06NED8+bNw40bN9CmTRsAwNOnT7k26Nu3L6KiorBkyZIa1amjo4Ps7GyY\nmJiAZVkuIZOXCB07dgxTp05Fjx498J///EfmsrVJpsinhxIaQhqghw8fok2bNtxtCa1atcKjR4/Q\nunVrxMTEICsrCwsXLkTLli3x1VdfAaj8I/rrr7/i/v37aNmyJYYNGwagsndg3759YBgGfn5+6NCh\nA4DK+5cfPHiAZ8+egWVZREREQENDQ25ccXFx8PHxgba2Njdt8uTJcHZ2Rnp6Otzc3Lh4ZJEVz5kz\nZ5CUlITs7Gz06NEDvr6+AIDjx4/j3Llz4PF48PLyQo8ePeSWI4uscmTFL6v8R48eYdeuXRCJRDAz\nM+OGSU1ISEBiYiJKSkrEesqWLVuGBw8e4MmTJ7CwsMDkyZORmZmJvXv3YvLkyQCA+fPnIzw8HHw+\nH3p6evDw8EBiYiK6d+8uc3t+8e4pd3s/xGhpgnlvv1XH0sBAqfLJ58eoER+BwR51Wr6itm7diri4\nOACAg4MD1q5dCwAYNGgQvvnmG5w7dw5OTk7o2LEjd8uZSCTCwIEDUV5ejtLSUnTq1Enih6Kvv/4a\nISEhOHjwIL744gssXbq02lhSUlIwYcIE6OjoAAAiIiK4h+G7deuG5ORk+Pn5gWEYuLq6cucBAAgL\nC8Pw4cPh4uICfX19iR4ZLy8vrF69Gn369IGhoSF+/fVXbgSxmvQkaWlpYcuWLZgzZw53W5ynpycW\nLVoEAFi8eDEiIiLg7e0NbW1t2NnZYd26ddz61dU5evRoDB8+HAKBAAMHDsS3337LrSdr3YkTJ2Lq\n1KmwsLBAjx49YGxszCV57wsLC4O7uzuWL1+u9HaTTw/DUopLSINz4cIFvH79Gn5+fgAqhw41Njbm\nut+l3V42ceJEREVFwcjICDNmzMDy5cshEokwa9YsLF68GFpaWli0aBEiIiKgqamJhIQE/P3335g+\nfbrCv7jNnz8fCxYsEPtDFBISguXLl0NbWxvz5s3D9OnTYWxsDADYu3cvHBwcuFvOpMUzd+5caGlp\noby8HJqamigrK8OcOXPw008/AQAWLlyI6dOni/0xk1eOLNLKkRW/kZGR1HbT0NDA7NmzER4ezm3j\nh6Ttm/Xr1yMgIIC7qAEqLxSqRg86fPiwWK9XQUEBNmzYIPEsQJX4+HiYRlc/gtH7LOZPAb9lc6XW\nqa2G9t4UWSjO6mVlZaFZs2b1UjchypJ1vF67dg09eyr3YxBRD9RDQ0gDZGBgwA3dCVRe4AoEArnr\nGBsbcxfZVT0oBQUFyM3N5X5VLCwsRG5uLszNzQEArVu3Vur2gfLycolf1YyMjLghR+3t7ZGTkyPz\nYl9aPHl5eTA3N8fdu3dx9epV8Pl8lJaWcuuEhobi5MmTKCgogIeHB1xcXOSWI4u0cmTFzzCM1Hbj\n8/li7ayMD3878vT0xOXLl7keqffp6uri7du3StchT35+Pqp+7656uLzq4riuPlf5WPXV9POtW7ca\nVDwNsT1NTU0poSFqIz8/nztePzyeyaeJEhpCGiAnJyf8+eef+Oqrr8CyLG7duoX+/ftz86vu0a4u\nGTEyMoKVlRVmzJjBPX9TG40aNUJRUZFYWbm5uXj79i309PSQkpKCwMDAGsWzfft2LFu2DDk5Obh4\n8SI33dTUFAMGDMC7d+8QERGBpUuX1mi7pJUjK359fX2p5bMsi7y8PLx69QqmpqYK1SuLp6cnVq1a\nBQAICgoSm5eTk8O99VwWg1nBStWn1eR/8X74h/1z//zhM2H1HU9D/JyVlQVC1EWjRo24f1Mi83mg\nhIaQBkhPTw++vr7c7V1+fn5ib1p2dXVFVFQUzM3NMXbsWJnlMAyDYcOG4ccffwTDMDAxMcGkSZPE\n5iuje/fuOHfuHHr37s1N09fXx44dO5CRkYEuXbrA4INnL3bt2oXMzEz4+/vLjcfZ2RkRERGwtbUV\nG1Fn+/btePr0KYqKirh6q9suaaSVIy9+aeUzDINx48YhJiYGIpEIxsbGmDJlikJt92Fb6+rqwtDQ\nEEKhUGLZixcvVntbREj8OIXqrRIRtBEtYavUOoQQQog6oGdoCCFK2bFjB7p27Qo7OzsAH2+46LpS\nn/GvW7cO3377rVgCd+/ePdy+fVvu4Arx8fHQ0HqjcD08HS2Ym9vAwti6+oVViJ5NUS16hoYQxdAz\nNJ8f6qEhhCjlu+++40YJIjXz6NEjHDlyBF988YXE+x1MTEyqHSkOAJ75zFG4Po//xMC0+cdNZggh\nhJCPhXpoCCFEzcTHxyPbN1Th5T3+EwPTTp/Hy01J3aAeGqJOqIfm80M9NIQQooZa/75S4WUrjIyR\n9uRVHUZT+c4QY1P96hckn4zC1EyUZL6os/L5VhbQt7Wqs/IJIZ8OSmgIIUQN7YrPU2JpZZatmcBg\nD4mEhp5NUa2GFmdJ5gskDVa8p1BZHv+JUSihMTU1xaJFixASEoJ//vkH3t7eOHz4MDw9PbllHj16\nhL179yI8PFxmOWvXrkVRURFmzZolMe+ff/7B/PnzERsbCwCIiYlBXFwcbt++jbS0tBpsnWy//fYb\npkyZgps3b0r0Mty+fRvPnj2Dj4+P2PSzZ88iOjoaycnJOHjwINq2bauyeGTVWUWRtiWkrlFCQwgh\nashvRN3cQqalwYO2pvJvHFfmre6EqJKuri4SEhIQEhKCP/74A/b29hLLODo6VnvBrcyoj6GhoQgN\nDZU6SmFtHThwAAMGDMChQ4ckhhS/efMmbty4IZFcdO3aFV27dkVAQIDSo1dWR1adVRRpW0LqGiU0\nhBCihsIuZNZJuT/5OsKxmWH1CyqgIfUmyENxqjcejwdXV1ckJSUhJSUFjo6O3Itsi4uLMXjwYLx5\n8wYCgQC7d+8WW3f27Nm4ePEiLC0tYWZmJpag7N69G2vWrEHTpk3Rpk0bheOpqKjAwoULceXKFZSX\nl2PMmDEYMmSIQuu+evUKL1++xKpVqzB27FixhGbLli3YtGkTCgsLcevWLXTr1k1qb5I0UVFRuHLl\nCnJyctC0aVPs2LGDe6GwQCDA4sWLceTIEaSmpmLdunVo3759tXWWlJRg0KBBMtv2woULWLp0KcrL\ny1FRUYGffvoJrVu3ViheQpRFCQ0hhBBC1FpQUBBGjBiB8ePH4+TJk9x0XV1dxMXF4cKFC4iJiRFb\n59ChQ7h79y4SEhLAsiyGDx8OGxsbAJUPlUdGRiIxMRFmZmZYuVLxZ9Z+/fVX8Hg8xMXFobS0FP7+\n/ujQoQNXtjyHDx9G//79IRQKwePxkJGRAWvryhEKg4ODoa+vjxs3biA6OlrheABg7NixXC/KN998\ng6NHj2Lw4MEAgNLSUjRp0gT79u3Drl27sG3bNi6hkVcnn8+X2bZpaWkICwvDwYMHufgJqUuU0BBC\niBr6ydexTso1N9BWWVkN7ZkPWShO9de8eXNMmTIFvr6+OHnypMRtV9IGdL18+TICAwPB4/EAVPaA\nFRYWAqgcDatbt24wMzMDUPlS4TNnzigUy5kzZ5CWloaAgAAAlT0ZDx48UCihOXjwIPLy8nDixAnk\n5OTgwIED+OGHH8S2oyaD0xobG+P8+fN49OgRCgsL8fz5c24en8+Hn58fAEAoFCI/P19s3erqlDbv\n5MmT6N+/PyUz5KOhhIYQQtRQGxXdFkbIpyIoKEip5TU0NMQuxt//t6ampsx51dHU1MTs2bPRp08f\npeLJzs7GmzdvkJiYCAB49uwZRowYIZbQ1OT5mMLCQvj7+6Nv375o164dHBwclNqemtTJMAzKy8uV\nXo+QmuLVdwCEEEI+TerSm0BxfnoUuWDv0qULDh48CJZl8fbtW8THx3Pz3N3dcenSJbx+/Rosy+LQ\noUMK1+3n54c1a9bg7du3CscCVN5u9v47UiwtLSESifD06VNumo6ODl6+fAkAEIlEUsv5sL5Hjx5B\nS0sLM2bMQNu2bXHz5k2lEhpF6vyQt7c3Dhw4gMePHytcDyG1QQkNIYQQQj4pH/YqMAwjMa13795w\ncnKCl5cXvvvuO1hZWXHLmJmZYc6cOfDz84O/v7/UMoHKQQd8fX2xfft2btrgwYPh5+eHgIAA+Pr6\nws/Pj0tu5Dl48CB69+4tNs3HxwcHDx7kPnt5eeHx48fo06cPhgwZgqKiIolywsLCMG3aNO6zq6sr\nBAIBunTpgvHjx6Nz585cgvIhae1UXZ3S1hEKhVi/fj0mTZqEvn37wtfXF5cuXaq2DQipKYatyc2Y\nhBBC6k18fDzc3Opm2GZVUpdnPijO6kl78zq9WJM0VNKOV6Dy2aj3e8HIp4OeoSGEEEKI0vRtrSjh\nIIQ0CHTLGSGEkDqhDr0eAMVJCCHqjhIaQgghhBBCiNqihIYQQkidOH/+fH2HoBCKkxBC1BslNIQQ\nQgghhBC1RQkNIYSQOqEuz3xQnIQQot4ooSGEEEIIIYSoLRq2mRBCSJ2g97uoVkOL88XrDOS8eV5n\n5ZsZNYWFsXWdlU8I+XRQQkMIIYQQpeW8eY7Ff4yvs/IjgjZWm9CYmppi0aJFCAkJwT///ANvb28c\nPnwYnp6edRYXANy+fRvPnj2Dj4+P0utWVFQgLCwMq1atgqYmXYYRogp0yxkhhJA60ZB6E+ShONWX\nrq4uEhISAAB//PEH7O3tP0q9N2/exKlTp2q0roaGBmJiYiiZIUSFKKEhhBBCiFri8XhwdXVFUlIS\nUlJS4OjoCJZlAQBFRUUICwtD79694e3tjU2bNnHrnT9/HkOHDuU+R0dHIyYmhvssEAiwfft2fPXV\nV3B3d8dff/3FzduyZQtWrVqFI0eOwNfXF0uXLuXmFRQUICQkBIMGDUK7du0QGRkpFm9YWBh8fX0h\nFAoltkVenYQQ+ejnAUIIIXWioT3zIQvFqd6CgoIwYsQIjB8/HidPngTDMACAFStWwNjYGMePH0dJ\nSQkCAgLg4uKCrl27SpRRtU6V0tJSNGnSBPv27cOuXbuwbds2tG/fHgAQHBwMfX193LhxA9HR0WLr\nGRoaIjIyEiYmJiguLoa7uzuCg4PRtGlTAMDq1asBQGpCI69OQoh81ENDCCGEELXVvHlzTJkyBV99\n9ZXY9NOnT2PkyJEAAD6fj+HDhyt8mxifz4efnx+AyuQjPz9fbD7LslxP0Ic0NDRw/Phx7Ny5E9ra\n2sjOzlZJnYQQ2SihIYQQUifUpTeB4lR/QUFBMDIykpguEom4f7MsCx5PNZc9H/boVLlz5w78/PyQ\nlZUFV1dXmJqaykx8CCGqQwkNIYQQQj45PXv2xLZt2wBUPk+zc+dOeHt7AwCMjY3x8uVLAEBZWRn+\n+ecfpcrW0dHh1n8/aUpMTESvXr0watQoGBkZIS0tjRIaQj4CeoaGEEJInVCXZz4ozpoxM2qKiKCN\ndVp+bUydOhXh4eHo1asXKioqEBQUxLVfq1at0KxZMwQHB8PMzAyNGjWS2evCMIzEPC8vL6xevRp9\n+vSBoaEhduzYAT09PQwaNAjffPMNzp07BycnJ3Ts2FHhW86qq5MQIhvD0k8HhBCiVuLj4+Hm5lbf\nYVSroV2Ay0JxVi8rKwvNmjWrl7oJUZas4/XatWvo2bNnPURE6hr10BBCiBpKe/JKqeWNGvFhbKpf\nR9FIpw5JAkBxEkKIuqOEhhBC1NCfW5KUWj4w2OOjJzSEEELIx0CDAhBCCKkT58+fr+8QFEJxEkKI\neqMeGkIIUUN+I5R7hqZMSxM3sgrkLmNuoA1LI53ahEUIIYR8dJTQEEKIGgq7kKnyMn/ydVRpQqMu\nz7pZ2isAACAASURBVHxQnIQQot4ooSGEEDX0o1fthrSVxqysAOXJT1RerrIYU3NoWFjWdxiEEELU\nBCU0hBCihhwXfFsn5ZbUSanK4c9ZBnzEhIaGba6ZshcvUZGTV2fla5iZQMuiSZ2VTwj5dFBC0wAs\nWbIEU6dOBZ/PBwC8e/cOP/74I+bOnYvZs2cjOjq6niOsG6dOneLe2qzqcsLDwxEVFaVUOSUlJTh6\n9CgGDx5c65jUgaraTd0pexxev34du3fvhqmpKWbOnMlNV9Xxo2g8ZdP/Xat6PoqKChjq6im9GmNq\nXgfBEFWryMnDi4Ur66x8i/lTFEpo2rRpgx9++AHBwcEAAE9PT/z555+wtraus9iio6OxZ88eWFpW\nJt4uLi5YsWJFrcsdP3487ty5A4FAgN27d9e6PGnWrl2LoqIizJo1q07KJ6Q+UELTAJiZmSE3N5d7\nCVRubi7MzSv/oH/KbwqOj49XSUKjqnL4fP5nk8wAqms3dadsOyQlJWHs2LFwdHQUm66q40fReDpd\n/KfWddW17f390c6q4b+MsSH1esijLnHWh40bN2L06NHg8Xgf5e8mwzAIDg5GSEiISsvduHEjLly4\ngJiYGJWW+75P+bqCfL4ooWkAmjRpgry8PNy7dw8A0LRpUzRpUvmrVHl5OX799Vfcv38fLVu2xLBh\nwwAACQkJOHXqFFiWRffu3bkLoOvXr2Pfvn1gGAZ+fn7o0KEDsrKy8Oeff2Ly5MkAgPnz5yM8PBx8\nPl/q8lXlP3jwAM+ePQPLsoiIiICGhobMbZg8eTKcnZ2Rnp4ONzc3fPXVVwDEf/F//98xMTHIysrC\nwoUL0bJlS27548eP49y5c+DxePDy8kKPHj3ktp2scmS1m7ztTUxMRElJiVgPhbLtcObMGSQlJSE7\nOxs9evSAr6+vzHLOnTuHmzdvIjU1Fb1798Z///tfzJkzh9v30sja79OnT0fr1q0ltreu260+26Gq\nHJFIhHnz5kFDQ0NmnLKOK1ntIMuyZcvw4MEDPHnyBBYWFtx3SpHjRyQSYf78+eDxeCqLhxBSeYHe\nsWNH7NmzB0OHDhWbV1FRgYULF+LKlSsoLy/HmDFjMGTIEABAv379sG7dOtjY2HDLd+vWDbt375b6\nlvkPsSwrdXp0dDTy8/ORk5ODx48fw8HBAZs3b+bmz5s3DxcvXgQA6OrqomPHjpgzZ0615SYnJyMq\nKgr5+fl4/vw55s2bh379+ilU5+zZs3Hx4kVYWlrCzMwMQqGw2u0jRJ1QQtMAVCU0t2/fBsMw0NHR\n4Xpo3r59i4CAABgZGWHGjBkYNmwY3rx5g5MnT2LRokVgGAaLFi2Cm5sbjI2N8fvvv2Px4sXQ0tLC\nokWL4O7ujmbNmqGgoABFRUXIzc1F06ZNwefzIRKJpC6vqVl5WLx+/RoRERHg8ap/XVFZWRlGjRoF\nbW1tzJs3D97e3jA2Npa5fGhoKMLDwzF//nyx6ZcvX0Z4eDj09RV7AaCscqS1m7Tt/fLLL6GlpQUv\nLy94eXkhPDxcog5l2qFLly7o3r07ysrKMGfOHO5CXlY55ubmsLOzQ3FxMTw9PZGamirzQl7Wfm/c\nuDEKCwsltvdjtFt9tIOscuQdz7KOK1ntIMv06dOxfv16BAQEiN3Oouzxo4p4fvHuqVDMHxujpQlG\nW7vy32/f1nM0imloz6bIoi5x1ocJEyZg4sSJCAoKEpv+66+/gsfjIS4uDqWlpfD390eHDh1gY2MD\ne3t7ZGZmwsTEBPn5+RAIBMjLy1M4mdm2bRtOnDgBoPKcN2PGDG5+cnIydu7cCQMDA7i5uSE1NRW2\ntra4efMm/vnnH5w6dQqXLl3CokWLxJIZeYRCIbZu3QptbW3cunULY8aM4RIaeXUeOnQId+/eRUJC\nAliWxfDhw8WSOEI+BZTQNABNmjTBlStX0KhRI7Asi6dPn8LDwwMAYGxszCUG2v//IiH7/7V353FR\n1fv/wF8DMzDAMIAouCEKerFMM1IfpqbGKkNQWpJidsOlLEy7pikW5paiZpm5VFaaXzMrt7wKbigm\nlplyBRPTclcgVBZZBIGZ3x/8mByZGWZgtoOv51/OOWc+n9f5zAHnzTmfc/Lz4e/vrz5T0KVLF+Tm\n5kIsFqOgoACLFi0CAJSVlakvXxswYAB++eUX/P333wgOrv0iVFJSonN7AOjRo4dBX+IBQC6Xq+cA\n+fn54ebNm3oLGl0mTpyIffv2oaSkBL1790bXrl2NbgPQPm7a9rewsFC9v7oYMw5nzpzBiRMnIJVK\nUVlZ2WA7dRldXV1RVFSEmpoanW1r+9zz8vLQokULrfvbGKYaN3OOg6529B3Ppjqu6uj6C6ohOQHT\nHOdt3l1q9Hsswfu9/+D49Wv/LAj4l/qBkHVfxm3t9alTp2wqj67XdazRv6enp0Ff9K2ldevWCAwM\nxI4dOzSWHzx4EFeuXEF0dDSA2rlu586dg6+vL/z9/XHt2jVs2bIFR44cwd69e+Hm5mZQfyKRCGPG\njNF6yZlIJEJYWBhcXV0BAD4+PiguLgZQe0bmzp07qK6uRmFhIby9vQ3eR5lMhmvXruHEiRO4evUq\n8vLyDOrz6NGjiImJUf8eGjBgAMrKygzuV4iKi4vVx+v9xzM1TyxobECrVq3w008/IT4+HiqVCqtW\nrUJkZKTO7b28vHD+/HlUV1dDJBLh3LlzUCgUcHV1Rbt27TBt2jQ4O2tOxH3iiSewdOlSiEQi9V/v\n5XK5zu2NVVBQgNLSUjg7O+PixYuIiYkBUPtXcwCorKys98W2uroaSqVS48uep6cnnn32Wdy9exeJ\niYnqL6f6aGtHG1Pury7r1q3DBx98gJs3b6ovKTAVb29vrZ97Y5lz3Mw5Drroy6nvuDJ0HEzJFHlk\n08eZO2aj3JbWoMsjHeHt/s8ZrPu/SNja69dee82m8tji65ycHNgykUiESZMmYfz48RrLxWIxZsyY\ngSFDhtR7T6dOnXDixAn89ddfGD16ND755BP4+/sb3Ke+P2zoWtelSxf06tUL/fv3R0BAgFE3Ydmw\nYQM2bdqEMWPGoH///gb3aW9vr7HOmD/ICNW9hSkLmQcDCxob4O7ujurqanTr1g1KpRJKpVLvX4nk\ncjlCQ0Mxe/ZsqFQqBAUFwcPDAwAQGxuLxYsXQyQSwcPDA5MmTQJQO2HZ09MT7dq1U7dTV9xo275u\nvaFcXFzw9ddf49q1a3jyySchk8kAAJ07d8b69eshlUrrtde9e3csXLgQXl5e6v+E1q1bh8uXL6O8\nvBzh4eEG9a2tHW0a2l997zNUQEAAEhMT0bFjR/VfyoxpR982rq6uOj/3xjDnuJlzHHRtoy+nvuPK\n0HEwNp++bU2RJz71FYMzWFriiM80ChoiS+jUqRN8fX2xc+dO9bLIyEgsX74cAwYMgEwmg0qlUv9M\n+vn5YeLEifjggw8QHh6O3r1746WXzHM79DrZ2dk4f/48jhw5or6821ApKSmYMmUKgoKCsGXLFoML\nkyeffBJr1qzBqFGjUFZWhtTUVDzxxBONiU9ks0SqB6FUJ7N7EG/3S2QtqampWLzfsOLLGhJHfIZu\nHXoJZs4HczYsJyen3iVntvIcmsceewwHDhyAh4cHTp06haeeegonT55Uz3NbuXIltmzZor4s+vvv\nv4dMJkNZWRl69eqFrKwsSCQS/Oc//0Hv3r0bnIMIAIsWLcKmTZvUt2328/NT35ls0aJFkMlk6svR\noqOjMW/ePDz66KPIzc3FsGHD4ObmBjs7Ozg6OuKFF17QmPtz5MgRvPTSS+jatat6ziJQ+/lPmTIF\n3t7eCAoKwldffYWjR4/CxcVFb59A7f/RP//8M1q2bInWrVvD19dX47bzzY224xUAMjIy1JfdU/PC\ngoZMggUNkeWkpqbCXnLb2jE02DlKYCd1BAC0lLeGt3t7FgomZmsFDRlv7969OHjwIObPnw97e3uk\npKRg2bJl2LNnj7WjNSssaB48vOSMTILFDJFl5YYadmckS+m9ZQU8+wdqLBNCkQAwJ1lOhw4dkJmZ\nqb5JQcuWLbFq1SorpyISPhY0REQC1OMbw5/Qbi+2g1is+/lJpiBtZ/jdmogeVF27dkVycrK1YxA1\nOyxoiIgEaGOq4XMXYsb1hrefpxnTaMdLuUxLKDmJiCzNcvcpJSIiIiIiMjGeoSEiEqDI0YENb/T/\nVUnEyMwpMboPL5kD2sgdjX5fHaGcTWBOIiJhY0FDRCRAk49cN3sfSxSdm1TQEBERWQILGiIiAVqi\n6Gz2PrxkDk16v1DmfDBn41wtvo3c0lKztd9GJoOPm9xs7RNR88GChohIgB5t62rtCPSAyy0txcs/\n/tds7a97JqrBgiYpKQnfffcdWrdujaqqKsyYMQMhISEm6X/RokUYNmwYunTpUm/d2LFjcfnyZXh5\neWHDhg2ws/tnSvJff/2FH374AQkJCSbJQUQNY0FDRERmYUtnE/RhTuESiUQYN24c4uPjceXKFQwZ\nMgQnTpyAk5NTk9uePn261uU3btzA8ePHkZmZqXV9586dWcwQWRjvckZERESCpVKpANQ+tLJt27a4\nfv06SkpKEB8fj2HDhqFPnz6YP3++xnuOHDmC6OhoKBQKhIeHIysrS73uyy+/hEKhQMeOHXHy5EmN\n9y1atAgjR45EQUEBFAoF4uLi1OsqKiqgUCgwYMAAjBw5sl5OfX0SUdPwDA0REZmFrc350IU5m4c/\n//wTJSUl6NixI8RiMebPnw8PDw/cuXMHvXr1wrhx49C6dWtcuXIFkydPxvbt29G+fft67YwdOxZj\nx45FdHQ0RCKRxrrp06cjNjYWI0aMqPeATKlUiuTkZBw5cgQrVqzQWNdQn0TUNCxoiIiISJBUKhXW\nrl2LPXv2QC6XY+3atRCLa7/a2NvbY8+ePbhy5QocHByQn5+P1q1bY9++fXjmmWcaXVjUnREyZn1T\n+yQi/VjQEBGRWQjlbAJzCpdIJMKYMWMQHx+vsfz06dOYMGECxowZg+7du8PT01NdaIhEIlRXV1s8\np6X7JHqQcA4NERERCZa2MyKHDh1CWFgY4uLiIJfLceXKFfV2ISEh2LZtG86fP2+xjNbok+hBwoKG\niIjMIj093doRDMKcwnb/PBcAGDZsmLqoWblyJZ544gnk5+cDqL15wKpVqzBp0iRERERAoVDgl19+\naXKf9667f70p+iQi3USqhi4GJSIim5KamorAwEBrx2iQUCaxM2fDcnJy0LZtW41lfLAm2SptxysA\nZGRkIDg42AqJyNw4h4aIiMxCCEUCwJyN5eMmZ8FBRDaBl5wREREREZFgsaAhIiKzEMqcD+YkIhI2\nFjRERERERCRYLGiIiMgsbG3Ohy7MSUQkbCxoiIiIiIhIsFjQEBGRWQhlzgdzEhEJG2/bTEREREar\n+TsXqlv5Zmtf5OkFe+82ZmufiJoPFjRERGQWQpnzwZyNo7qVj4oFU83WvnTmB4ABBU1ZWRneeust\nXLhwAfb29hg6dCheeeUVk2RITk6Gv78/AgICNJZHRUVh3rx56NmzZ6PanTBhAjIyMnDs2DGD+1yx\nYgWSk5Px+++/48qVK43qVxddfdbZsWMHVCoVnnnmGZP2S2QqvOSMiIiIBOuTTz6Bj48P9u7di5SU\nFJMVMwCwa9cunD17tt5ykUjU6DYrKyvx22+/oV27djh16pTBfU6cOBHJycmN7lcfXX3WiY6OZjFD\nNo0FDRERmYVQ5nwwp/AVFRVpXV5eXo7JkycjPDwcISEh+Pzzz9Xr0tPTMXLkSPXrpKQkrFixQv16\n0qRJSE1NxYIFC6BQKJCSkqLR9tGjRxEbG4s+ffpotNuQ/fv3IygoCC+88AK2bdumsa6hPnUpKSlB\nfHw8hg0bhj59+mD+/Pka+zl06FAkJiYiOjoaQUFBKCgoMKjPY8eOQaFQoEePHhpjU2ft2rUICwuD\nQqFAZGQkqqqqDB4HIlNiQUNERESC9cYbb6CkpASDBw/Gd999p7Huww8/hLu7O/bs2YOdO3di8+bN\n+Omnn7S2c/9Zl+XLlyM4OBjvvPMOkpOTERERobE+JycHGzduxObNm7F8+XKD827btg3PPfccFAoF\ndu/ebVSfuri6umL+/PnYunUrDh06hG+//RZ5eXnq9X/++SdGjx6NHTt24KGHHsKuXbsM6rNPnz5I\nTk7GqFGj6vW5fft27NixAz/++COSk5Oxa9cuSCQSg8eByJQ4h4aIiMzC1uZ86MKcwubi4oJPP/0U\nV69exaxZs5Ceno5PPvkEAHDgwAF8+eWXAACpVIpRo0Zh//79GDhwoMHtq1Qqrcufe+45AECHDh1w\n+/Ztg9q6c+cODh06hMuXL0MkEuHGjRv43//+h8cee8ygPvWxt7fHnj17cOXKFTg4OCA/Px+tW7cG\nAHTv3h3/+te/1HmLi4vrvd/YPnfs2IE33ngDTk5ORmclMjUWNEREAnTlwi1rR2gSuZsU7p4u1o5B\nzYiPjw++/PJLBAQEoLq6GmJx7VccpVKp3kalUsHOzriLU3TNl2lM0bF3714MHz4cCxYsAABs2bIF\n27dvr1fQGDtH5/Tp05gwYQLGjBmD7t27w9PT0+h8jZkXVFNTY/R7iMyBBQ0RkQB9/8Vv1o7QJDHj\nettMQZOeni6Isx9CyWlp5eXlcHZ2BgCcPXsWrVq1UhczwcHBWLt2LebPn4/y8nJs2LABs2fPBgC4\nu7vjxo0bAICqqir873//qze+UqlUvY1SqTS6GLrf9u3b8fLLL6tfBwcHY8GCBZgzZ06T+jx06BDC\nwsIQFxeH7OxsXLlyxaiCpjF9RkVFYdmyZejbty9cXV2hUqmadLMEoqZgQUNEJECRowMt1pfE3g4O\nYuO/qBQXF8PNzU3rOrmbtKmxyMpEnl61t1Y2Y/uGSElJwYoVK+Ds7AwnJyesXbtWvW7KlClISEhA\nWFgYampqMGLECHXR8sgjj6Bt27YYN24cWrZsCTc3t3pfyIcPH474+Hhs374dDz30EBYtWvRPPiO/\nvJeVleHXX3/FmjVr1Mvc3d3Rpk0bnDhxAo8//niDfQK1l60pFArExMSoi6Nhw4bhxRdfxOHDh9Gl\nSxc88cQTyM/PV+e8P6sx+6nrPUOHDkVBQQGGDh0KBwcHiEQibNq0Ca6urkaNC5EpiFSNOWdKRERW\nk5qaihkZlvtL6BJFZzzall9SHmQ5OTlo27attWMQGUTX8ZqRkYHg4GArJCJz413OiIiIiIhIsHjJ\nGRGRAC0e3Nq0DUocIJI4aF3lJdO+vCFCmfPBnEREwsaChohIgDrPfsmk7UlnfgDxw4+atE0iIiJL\nYEFzjwMHDuDw4cMoKiqCUqlEixYt0K9fP4SGhmLGjBlISkqydkSLqqiowK5du9T32m+s/fv3IyQk\nRGNZQkICFi5c2KR2G9JQfl0Z7l2+atUqnD59GmPHjkVgoOUmYeujbTxtrf3GfL7WOk6spanjXDX1\nfROmAUqdXHDleo5J23To5IdjJm6zjUwGHze5SdsUylkPoeQkIrI0FjT3CAoKQlBQENLS0lBZWYnw\n8HD1ugfxVoRSqbTJxQxQO4HZnF/AdTFF/tdffx0//PCDiRKZhrnH01qfl7X6tZam7m//n/9nwjTC\nse6ZKJMXNEREJGwsaHS4/+Zv1dXVWL9+Pc6ePYtu3bohNjYWAHDy5Els3rwZIpEIkZGR6Nu3r952\n33zzTQQEBODq1asIDAzE888/r7edtLQ0nDt3Drm5uVAqlXjvvfdgZ2eHPXv24PDhw7Czs8PgwYMR\nFBSk3n7//v1QqVR46qmn1F+Ypk6dih49etTLr0taWhoOHTqEiooKjb+QG9vOihUrkJOTgzlz5qBb\nt27q/TXFeKalpSErKwuXLl1CeHg4du/ejZkzZ6JVq1Y682/btg3Hjh1D+/btUVFR0eByXYz93HV9\nXrraOXjwIH777Tfk5+cjKCgICoVC73jqsnHjRpw6dQpisRgODg6YMGECWrVqpbNfXe3ryq9LRUUF\nVq9ejatXr6Jnz56IiYkBoPv4NPY40UXXuN37c6RSqZCYmIjDhw/rPH50uf/ncdasWbC3t9c5nrrG\nzVTjTKYhlLkpQslJRGRpLGgMVFpaiujoaMjlckybNg2xsbFQKpX45ptvMG/ePEgkEsydOxePP/44\nJBKJznaqqqoQFxcHBwcHzJo1CyEhIZDL5fXa6dWrl/rBYEVFRUhMTNR40NXRo0eRkJAAF5d/Hkx3\n+/Zt7Nu3D3PnzoVIJMLcuXMRGBiIFi1aoKysrF5+fQYPHozBgwcjISFBY7mx7UycOBEJCQl47733\nzDKeXl5e6NSpE+7cuYN+/frh0qVLaNWqldb8hYWFOH78ON5//31UVlZi6tSpepfr0pic2j4vfe08\n+eSTeOqpp1BVVYWZM2eqv5jrGk9dMjMzsXDhQuzYsQNeXl5o1aqV3n51ta8tvz53795FXFwcHB0d\nMWvWLISGhsLe3l7n8WnMcaKPrnEDtP8c6Tp+9Lm/HW3jWffzq2vcTDHOX4XY/q1H731au6l4VVWj\n4vQ5nevtW3pA4q3/MyTTyL1difzSu2Zr30vmgDZyR7O1T0TNBwsaA7m7u8Pd3R0A4OBQe8efkpIS\nFBQUqB9AVVZWhsLCQnh56X4YmFwuh1Ra+0A5Pz8/3Lx5EyKRqF47BQUF6nZ69OhR76m9EydOxL59\n+1BSUoLevXuja9euyM/Ph7+/P+zt7QEAXbp0QV5eHlq0aKE1v6nGwVTtNGY869pwdXVFUVERampq\ndG5769Yt+Pv7w87ODk5OTpDLay9buXnzptblujQmp7bPS187Z86cwYkTJyCVSlFZWak3jz6DBw/G\nm2++CR8fH/XZEFPl1+fe47xTp064desWANQ7PnNzc9GiRQud7Rh7vOkbN20/R8YcP7ra0TaedT+/\nxo6bMdu3eXdpg1mbq7/1rPN+7z/49c+zAP6Zc5Kenq73dd0yQ7d/EF97enrWe65HfuldTEv+C+ay\nRNG5wYJm9OjRePXVVzU+y/LycvTt2xdZWVlNzpCcnAx/f38EBAQY/J74+HiUlZVh3bp1AIC3334b\njz32GEaOHNnkPL///jtyc3MRGhqqsTwpKQkymQwTJ040us2TJ0/i3XffRUVFBezt7REcHIy33367\nyVkBYPXq1Xj55Zfh5ORkkvZ++uknJCUlITs7G9u3b0fPnj21bldcXKw+XrX9vFPzw4KmCeRyOdq1\na4dp06bB2dnZoPcUFBSgtLQUzs7OuHjxImJiYuDi4mJ0O56ennj22Wdx9+5dJCYmYtGiRfDy8sL5\n8+dRXV0NkUiEc+fOafyF2lqqq6uhVCrrfZm8X2PG0xheXl64ePEilEolSktLUVhYCADw9vbWutyU\nObV9XvraWbduHT744APcvHkTP//8s8Y6Q8dTpVLh5MmTWLp0qcbZo4bya2tfW3596o5zJycnXLhw\nATExMVAqlXqPT0P3Sx9942Yu+sZT37g1dZxl08eZfmesSCJ2gIO46X+Nt2/pgQHd/qWx7P4vMnxt\n/OucHNPe3MFUfH1962W7fv06fH19TdL+rl27EB4eblRBAwB79+7Fn3/+iS5duph0Dm5WVhYyMzPr\nFTSN7aOqqgqvvvoq1q5di4cffhhA7dUepvLZZ5/hhRdeMFlBM3DgQAwcOBDR0dF699nNzU39bxYy\nDwYWNDoY8stBJBIhNjYWixcvhkgkgoeHByZNmqT3PS4uLvj6669x7do1PPnkk5DJZACgtx1tWdat\nW4fLly+jvLxcffMCuVyO0NBQzJ49GyqVCkFBQfDw8DBmt82ie/fuWLhwIby8vDB+/Hid2zVmPLW1\noYtcLkevXr3wzjvvwMfHR31Zj67l99q4cSOuX7+OqKioRuXU9nnpaycgIACJiYno2LEjXF1doVKp\n1PtmzHgqlUrMmzcP9vb28PDwwLhx4+Ds7Kw3v7b2teXXp+44v3r1KgYOHKg+zvUdn4bulz73j9v9\n49GQxmyj73PUN25NHef41FcazCokiSM+Q7cO3a3St1DmpgglpyXdW9B89dVXeP7555GTk6MuaGpq\najBnzhwcP34c1dXVGDt2LF544QX1+1euXIlt27bB3t4eLi4u2Lp1q3rdpEmTkJqaihMnTuDTTz/F\nG2+8gYiICINyPffcc1i2bBlWrlxZb92qVauwdetW2NnZ4ZFHHsGCBQvUZ7Q3btyII0eOoLy8HNev\nX0efPn0wf/58AMAXX3yBzz//HGVlZTh16hQGDRqE6dOnq9vNycnB+PHjcf78efj7+2PNmjUN5kxN\nTUVgYKC6mAGgcZXCzZs38dZbb6GgoAAqlQrz589XnxVJSkpCcXExbt68Wa/PiooKDB06FPn5+Rgx\nYgTEYjE+//xztG/fvsH9zM7OxsKFC1FcXIy8vDzMmjULTz/9tEHjTg8uker+2e9kVs35NrRkW8rL\ny7F582a8+OKLEIlEWLp0KZ599ll07tzZ2tGoiVJTU7F4f+OKPltVW9D0skrfQikUrJkzJyen3iVn\nmTklZr/k7NG2rnq32bt3L1JTUxEXF4dnnnkG8+bNg1KpxLVr1zB16lSsXbsWly9fxuzZs1FZWYmo\nqCisWbMGvr6+KC4uRu/evZGdna1zrld8fDyGDBmCqKgog3PHx8cjPDwcH3/8Mb7++mt88skn6Nmz\nJ0aOHImDBw9iyZIl+PHHHyGRSJCQkABXV1fMnDkTQO0X/ffffx9bt27Velbo22+/RWZmZr3HSCQl\nJeGXX37Bhg0bIJPJEBgYiG3btqFjx456s65evRq3b9/WKIzuNXbsWIwYMQKhoaG4evUqYmNjcfjw\nYYP77NmzJw4ePFjvj6v69rO0tBQODg5wcHDAqVOnMHbsWBw7dkxjm+joaMybNw+PPqr92VnajlcA\nyMjIQHCw7c8/JOPxDA1RMyWRSJCfn485c+YAqJ37wWKm+UiIEPYcGjtHCeyk/1xi1lLe2mpZb7Lx\nwwAAGOxJREFUhFDMAMLJaUkdOnRATk4OUlJSMHv2bOzevRuPPPIIOnXqBKD2zodXrlxBdHQ0gNoz\nB+fOnYOvry/c3NwQEhKCmJgYREREYNiwYfD09KzXR2P/7vv6669j+fLlGmd1U1NTMXLkSPVlwOPG\njcMrr7yiLmhEIhGioqJ0XuKmUqm05hGJRAgLC1Ofmfbx8UFxcXGjct/r0KFDyM/PxyeffAKg9oYv\nRUVFcHd3b1Kf+vZTJpPh2rVrOHHiBK5evYq8vLwm7wc1fyxoLIxnZ8hSJBJJg3dsI+HKDZ1p7QhN\n0nvLCnj2t42H1ZJw1RU05eXl2LRpE3744QdcuHABAwcOBACIxWLMmDEDQ4YM0fr+VatWIT8/H7t2\n7UJoaCi2bdtWb/5NY+aniEQiDB06FB9++CECAgLUbdRdClxHqVTWa19fAaUvS2MKLz8/P2zevFnn\nerFYjI0bN9a7hLcpfTb03g0bNmDTpk0YM2YM+vfv3+j26cHCgoaISIB6fPORwdvai+0gFtubMY12\nxcXFGpNz7yVt523hNLrxkjPhcnZ2RmFhIfz8/CCRSDBo0CB89NFHmD17NgAgMjISy5cvx4ABAyCT\nyTTmIwK1c2y8vLwQFxeH5ORk9dmbOlKpFDdu3AAAo25aolKpYGdnh3HjxmHGjBkICwsDAISEhGDh\nwoUYMWIEHB0dsWbNGo0J/g0VCI6Ojo3Ko0tQUBBmzZqFzMxM9eVbly9fVo9BREQEFi5ciAULFjSq\nT0dHR+Tn58PDw0Nj7PXtZ0pKCqZMmYKgoCBs2bJF57acMUH3YkFDRCRAG1P1343vXjHjesPbr/6l\nNOZ2Jj0dfjwLQ2bWsmVL9RmYiIgILF26FC1btgRQOzk/Ly8P0dHR6on333//vbq4GTp0KKqrq1FZ\nWYn+/furb29fZ/jw4YiPj8f27dvx0EMPNXiHxzp1X9xHjhyJxYsXq5cPGjQI2dnZiIyMhEgkQvfu\n3fHmm29qvE/fWZjBgwfj448/xpAhQ+Dq6or169er7yDWmDNJEokEX3zxBWbOnIk7d+4AAPr164e5\nc+cCAObNm4fExESEhITAwcEBnTp10rjRQUN9jhkzBqNGjYKPjw+GDh2Kl156qcH9fO211zBlyhR4\ne3sjKCgI7u7uKCsrq3fDnsmTJ6NXr15YulTYl9+SafCmAEREApOamooDm/MN3j5mXG90sEJBQ82H\ntknWfLAm2SreFODBwzM0REQCFDna8DMfVRIxMnNKzJjG8vhl1/rayB35GRCRTWBBQ0QkQJOPXLd2\nBKsy5CnyhhLK3BSh5CQisjQWNEREArREYfu34NZ3U4Cm8pI5mKVdIiISHhY0REQC1NADB22CEDJC\nOM93EUpOIiJLa9r9/oiIiIiIiKyIBQ0REZlFenq6tSMYhDmJiISNBQ0REREREQkW59AQEZFZCGXO\nB3M2TtGtMtwurjBb+3I3Kdw9XRrekIgeeCxoiIiIyGi3iyvw/Re/ma39mHG9GyxoRo8ejVdffVWj\n2CsvL0ffvn2RlZXV5AzJycnw9/dHQECAUe/78MMPkZycDAcHB/j5+WHFihVNzgIAv//+O3JzcxEa\nGqqxPCkpCTKZDBMnTjS6zZMnT+Ldd99FRUUF7O3tERwcjLffftskeVevXo2XX34ZTk5OJmnvp59+\nQlJSErKzs7F9+3b07NnTJO2S8PGSMyIiMguhzPlgTuHy9fVFTk6OxrLr16/D19fXJO3v2rULZ8+e\nNeo96enpOHDgAPbt24fk5GSTFTMAkJWVhf3799dbLhKJGtVeVVUVXn31VSxevBj79+/Hnj17MGHC\nhKbGVPvss89w584dk7U3cOBAJCcno0ePHo3eZ2qeWNAQERGRIN1b0Hz11Ve4ffs2cnJy1AVNTU0N\nZs2aBYVCgbCwMHz33Xca71+5ciVCQkIQHh6OYcOGaaybNGkSUlNTsWDBAigUCqSkpBicq6KiAuXl\n5VrXrVq1CiEhIQgLC8OUKVNQUfHPZXs+Pj7qf6enp2PkyJHq11988QWWLVuGnTt3QqFQYNGiRRrt\n5uTkYPz48QgKCsL48eMNypmamorAwEA8/PDD6mVyuVz975s3b+Lf//43oqKi8PTTT+PkyZPqdUlJ\nSUhISNDaZ0VFBSIiIpCfn48RI0ZAoVDg2rVr6vUbN25EfHw84uLiEBYWhnfffVe9Ljs7G6NHj0Z0\ndDT69OmDnTt3GrQv9GDjJWdERGQWtjbnQxfmFC5fX1+kpqbijz/+wKJFiyCTyaBUKtGxY0cAwPr1\n62FnZ4fk5GRUVlYiKioKffv2ha+vL4qLi/Hxxx8jOzsbYnH9r0PLly9HfHw8hgwZgqioKIMzDRgw\nAAqFAoMHD8aIESMwYcIEuLjUXjp38OBB7Ny5EykpKZBIJEhISMCHH36ImTNnAtB/pmXcuHFwcXFB\nZmYmkpKSNNapVCqcPn0aGzZsgEwmQ2BgIC5duqQeB10uXryod5vp06fjxRdfRGhoKK5evYrY2Fgc\nPnxYvT47O1trn1KpFCkpKejZsye+++47eHh41Gs7LS0NW7durXc5X4cOHfDll1/CwcEBp06dwtix\nY/H000/r3Q8inqEhIiIiQerQoQNycnKQkpKC2bNnY/fu3cjJyUGnTp0A1BYQaWlpiI6OxvDhw1FR\nUYFz584BANzc3BASEoKYmBisWbMGt27d0tqHSqUyOteUKVNw4MABVFdXIyIiQn3Z1YEDBzBy5EhI\nJBIAtUVKamqqwe2qVCqteUQiEcLCwuDq6gqRSAQfHx8UFxcbnft+hw4dwvLlyxEdHY34+HjcvXsX\nRUVFTe5TJBIhKipK69wkmUyG/Px8/Pjjjzh06BDy8vKavB/U/LGgISIisxDKnA/mFK66giY9PR3P\nP/88ioqKcOHCBfUlZ2KxGDNmzMCOHTuwY8cO/PTTTxoT6letWoVPP/0UYrEYoaGhuHz5cr0+GjtX\nw9XVFdOnT0f79u3x22//3DxBqVRq/NuY9vVt25jCy8/PD3/99ZfO9WKxGBs3blSP36+//gp3d/cm\n9dnQezds2IAJEyagpqYG/fv3b3T79GBhQUNERESC5OzsjMLCQrRo0QISiQSDBg3Czp071ZdRRUZG\nYvny5SgtLQVQ/0t0TU0NvLy8EBcXB39/f/XZmzpSqRQ3btwAoFmI6FNdXY27d+8CAEpKSnD58mX4\n+fkBAEJCQvDtt9+isrISALBmzRqNAksikaCsrAwAcOzYsXptOzo6Gp1Hn6CgIGRlZSEzM1O97N6i\nLiIiAgsXLlS/NrZPR0dH5OfnA9Ace32FUEpKCqZMmYJhw4bhwoULOrdtSjFFzQ/n0BARkVkIZc4H\nczaO3E2KmHG9zdq+IVq2bIkhQ4YAqP0CvnTpUrRs2RIA8NxzzyEvLw/R0dGQSmvb+/777yGTyaBS\nqTB06FBUV1ejsrIS/fv3R0hIiEbbw4cPR3x8PLZv346HHnqo3kR8bS5evIgJEybA0dERAJCYmIj2\n7dsDAAYNGoTs7GxERkZCJBKhe/fuePPNN9XvnTx5MkaNGoWuXbvCxcWl3hmZwYMH4+OPP8aQIUPg\n6uqK9evXq2+J3JgzSRKJBF988QVmzpypviyuX79+mDt3LgBg3rx5SExMREhICBwcHNCpUyesXLlS\n/f6G+hwzZgxGjRoFHx8fDB06FC+99JL6fbre+9prr2HKlCnw9vZGUFAQ3N3dUVZWpp6HVGfy5Mno\n1asXli5davR+U/MjUrHEJSISlLo7ExFZSk5ODtq2bWvtGEQG0XW8ZmRkIDg42AqJyNx4yRkREZmF\nUOZ8MCcRkbCxoCEiIiIiIsFiQUNERGZha3M+dGFOIiJhY0FDREREeul6/gmRreGx+mBiQUNERGYh\nlDkfzNkwNzc3FBQUWK1/IkMVFBTAzc3N2jHIwnjbZiIiItJLJpOhsrISOTk5DW5bXFxs818ohZAR\nYM7GcHR0hEwms3YMsjDetpmISGB422YiIuPxts3NF8/QEBEJ0JULt6wdgYiaAbmbFO6eLg1vSGTD\nWNAQEQnQ91/8Zu0IRNQMxIzr3eSCJj09nXfhI6viTQGIiIiIiEiweIaGiEiAIkdzDg0RNV2VRIzM\nnJImteHq96jeNrxkDmgjd2xSH0T6sKAhIhKgyUeuWzsCEZFBlig6s6Ahs2JBQ0QkQIsHt7Z2hAZV\nV9dALLa3dowGMadpCSGnTWeUOEAkcQBgW7dD1qehnF4yBwumoQcRCxoiIgHqPPsla0cgIjOQzvwA\n4ocfBQCkX8jEow/Z/mR7oeSk5os3BSAiIiKyQUK5c5hQclLzxTM01OwcOHAAhw8fRlFREZRKJVq0\naIF+/fohNDQUM2bMQFJSkrUjWtT+/fsREhJilrYTEhKwcOHCJrezatUqnD59GmPHjtX5wEhD+jJV\nHmu1b0xfVVPft0gOIgIc7O3haG+Zr0wiTy+L9EPUnLCgoWYnKCgIQUFBSEtLQ2VlJcLDw9XrRCKR\nFZNZR2pqqtkKGlN5/fXX8cMPP1g7hqD0//l/1o5A9MBY90wU+rRra/F+hfJ8F6HkpOaLBQ01ayqV\nSuN1dXU11q9fj7Nnz6Jbt26IjY0FAJw8eRKbN2+GSCRCZGQk+vbtq7fdgwcP4rfffkN+fj6CgoKg\nUCgAAGlpaTh37hxyc3OhUqmQmJiIw4cPIysrC5cuXUJ4eDh2796NmTNnolWrVjrbv7cdpVKJWbNm\nwd7eXmfOPXv24PDhw7Czs8PgwYMRFBQEAFixYgVycnIwZ84cdOvWDc8//7ze7XXRtb2u8UxLS8P+\n/fuhUqnw1FNPqQuqe886GHK2Y9u2bTh27Bjat2+PiooKvdsCQEVFBVavXo2rV6+iZ8+eiImJAWD8\n52vs/hpyPBjyORqzv1+FBDc4HtZWXV0Nsdj2/5thTtMSQk5jM3pVVaPi9Dn1a/uWHpB46/4dTkSW\nZdu/cYhMrLS0FNHR0ZDL5Zg2bRpiY2OhVCrxzTffYN68eZBIJJg7dy4ef/xxSCQSne08+eSTeOqp\np1BVVYWZM2eqv8ACQFFRERITE2Fn988UNS8vL3Tq1Al37txBv379cOnSJb0FjbZ2tOXs1asXxGIx\njh49ioSEBLi4aD7teeLEiUhISMB7772nsVzX9rro2l7beN6+fRv79u3D3LlzIRKJMHfuXAQGBqJF\nixYG9VWnsLAQx48fx/vvv4/KykpMnTq1wffcvXsXcXFxcHR0xKxZsxAaGgo3NzejP19j9hcw7njQ\n9TmWlJQYtb9t3l3a4HgQken8fc+/pW+Ogff/L2jS09MB/DOPxJSvBwwYYNb2Tfm6jq3k0fWamicW\nNPRAcXd3h7u7OwDAwaH2NpIlJSUoKCjAokWLAABlZWUoLCyEl5fu65jPnDmDEydOQCqVorKyUmNd\njx49NIqZun4BwNXVFUVFRaipqWkw6/3taMtZUFAALy8vTJw4Efv27UNJSQl69+6Nrl276m3bVNtr\nG8/8/Hz4+/vD3r72lqhdunRBXl6e0QXNrVu34O/vDzs7Ozg5OUEulzf4HrlcDqlUCgDo1KkTbt26\nBTs7O6M/X2P2FzDueND2Od66dQslJSVG7y8RWce9tyi+/4syX9v2a2qeWNDQA08ul6Ndu3aYNm0a\nnJ2dDXrPunXr8MEHH+DmzZv4+eefzZywlr6cnp6eePbZZ3H37l0kJiaqvywDtZdWKJVKjS/V+rbX\nxpjtvby8cP78eVRXV0MkEuHcuXPqMxZKpRIAUFlZWe+Lv7Z2Ll68CKVSidLSUhQWFurdHgAKCgpQ\nWloKJycnXLhwATExMXBxcTH68zV2fIw5HnR9jk5OTkbtr2z6OIP2xZqqa6ohttBE6qZgTtMSQs6m\nZrwtrcH5K8dNmEi7uue7tJS3hrd7e7P311icQ0PWZtu/cYiayJCbAIhEIsTGxmLx4sUQiUTw8PDA\npEmT9L4nICAAiYmJ6NixI1xdXRvVp7Hb6Mu5bt06XL58GeXl5Ro3QQCA7t27Y+HChfDy8sL48eMb\n3F4bY7aXy+UIDQ3F7NmzoVKpEBQUBA8PDwBA586dsX79ekilUq1jsHHjRly/fh1RUVGQy+Xo1asX\n3nnnHfj4+Bh0eZyLiwu+/vprXL16FQMHDoRMJgMAoz9fY8fHmONB1+do7P7Gp77SYC4iah4SR3xm\n0wUNkbWJVPfPmiYiIpuWmpoKe8lta8cgeqDZOUpgJ3W0SF+2foZGKDIyMhAcbPs3VCHj8QwNEZEA\n5YbOtHYEogda7y0r4Nlf+3OziMiy7BrehIiIiIgs7f47iNkqoeSk5otnaIiIBKjHNx9ZO0KDhPA8\nEoA5TU0IOU2RsUbujisXbulcL3eTwt3TsFvjE1HT2PZvHCIi0mpjasN3fSMic9L/MxgzrneTCxqh\n3DlMKDmp+WJBQ0QkQJGjee0+kTVJ7O3gINZ9x0q5m9SCaYgebCxoiIgEaPKR69aOQPRAW6LojM5t\nXRvesAmE8nwXoeSk5os3BSAiIiIiIsHiGRoiIgFaouhs7QhEDzQvmYPZ+xDKWQ+h5KTmiwUNEZEA\nPWrmS12IiIiEgpecERGRWQjl2RTMaVpCyCmEjABzEhmKBQ0REREREQmWSKVSqawdgoiIDJeamorA\nQN62mYjIGBkZGQgODrZ2DDIDnqEhIiIiIiLBYkFDRERmIZTr6pnTtISQUwgZAeYkMhQLGiIiIiIi\nEizOoSEiEhjOoSEiMh7n0DRfPENDRERERESCxYKGiIjMQijX1TOnaQkhpxAyAsxJZCheckZEJDAn\nTpxAUVGRtWMQEQmKu7s7Hn/8cWvHIDNgQUNERERERILFS86IiIiIiEiwWNAQEREREZFgsaAhIiIi\nIiLBYkFDRERERESCJbZ2ACIiqi8rKwubN28GAMTExOCRRx4xybamZkzfZ86cwfr16/Hwww9j9OjR\nlooIwLicn3/+OXJzc6FUKvH666/D29vbUjGNyrlp0yacPXsWdnZ2eOWVVyyW09jjraqqCpMnT0Z0\ndDSGDBliiYgAjMu5cuVK5OTkwMHBAYMGDcLgwYMtlNK4nLdu3cKKFStQU1MDf39//Pvf/7ZUTINz\nlpeXY8mSJerXFy5cwNdff22RjIBx43no0CHs2bMH9vb2eOGFFyz6u5NMTEVERDalpqZG9e6776oq\nKytVlZWVqlmzZqmUSmWTt7VmTpVKpcrMzFT9+uuvqvXr11skX53GjtGpU6dUn3/+uQUS1mpszjNn\nzqg+++wzCyRsXMZdu3aplixZotq9e7dFMqpUxudcuXKl6saNGxbLV8fYnB999JHqjz/+sGDCWo09\nNi9duqRavXq1BRLWMjbnW2+9paqpqVGVlZWpZs6cabGcZHq85IyIyMbk5eWhTZs2cHBwgIODA7y9\nvZGXl9fkba2ZEwB69OgBmUxmkWz3auwYSaVSiMWWu5ChsTn//PNPtGvXzgIJjc9YWVmJrKws9OrV\nCyoLPiWiMWNpyXx1jMmpVCrx999/IyAgwMIpG39spqSkICIiwgIJaxmbs3379sjOzkZGRga6dOli\nsZxkerzkjIjIxpSWlsLZ2Rnr1q0DADg7O6OkpARt2rRp0rbWzGlNjc158OBBKBQKCySs1Zic7733\nHm7fvo25c+faZMaUlBQMGTLE4g+CNTanVCrF8uXL4eLigpdffhmtW7e2uZy3b9/G3bt3sXjxYty5\ncwcRERHo06ePzeWsU1JSglu3bsHX19ciGQHjc/bo0QO7du1CdXU1wsPDLZaTTI9naIiIbIxMJkN5\neTliY2MxcuRIlJWVQS6XN3lba+a0psbkPH78ONq2bWuxMx9A43LOmTMH8fHxWLFihc1lLC8vxx9/\n/IGePXtaJNu9jB3LMWPGYN68eRgxYgT+7//+zyZzymQyODs7Y+rUqXjnnXewbds23L171+Zy1tm/\nfz+Cg4Mtkq+OMTn//vtvZGRkYPr06XjnnXfw3//+12LjSabHgoaIyMa0bt0aubm56td5eXk6/2Js\nzLam1pi+rXFZj7E5L1y4gOzsbERGRloinlpjP0t3d3colUpzRlMzJuMff/yBqqoqLFu2DPv27UNa\nWhquXbtmcznvJZFIYG9vb85oGozJKRaL4enpiaKiIojFYoteDmnseNbU1CAjI8NiZ5DqGJNTqVSi\npqYGQO3vJRYzwiZSWeN/FyIi0iszM1N9p57hw4ejR48eAIBffvkFjo6OCAwMbHBbW8u5fft2nDx5\nEkVFRXj44Yfxyiuv2GTOiRMnwtPTE3Z2dvDx8cGYMWNsMudHH32EkpISiMVixMXFWexSP2My1klL\nS0NlZaVFL+sxJueyZctQWFgIJycnjB07Fq1atbLJnDdv3sSaNWtQXl6OJ554wqKXRBqT8+jRo8jL\ny8Ozzz5rsXyNybl161acPXsWSqUS/fv3t+jd7ci0WNAQEREREZFg8ZIzIiIiIiISLBY0REREREQk\nWCxoiIiIiIhIsFjQEBERERGRYLGgISIiIiIiwWJBQ0REREREgsWChoiIiIiIBIsFDRERERERCdb/\nA8Y6t+M6ZLfmAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10809bad0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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cBg0aBA8PD77s6NGj8Pb2lqgfExODpUuXNnlcjx8/RlZWVr3LKiUkJODq1asY\nP3483Nxk37j3phGLxTh48CCGDRsmsf3ixYv46aefYGJiUu+yWefOnYOLi4vcEaRaFbP+r0ExFrfV\nReaDHIV1LPT0IDQ0UFinMVr7HGGKv+XZsGEDkpKSAAAODg78VIeQkBCMHj0aJ06cgJOTE3r16oX8\n/HwANUnj0KFDUVlZifLycvTu3Vvqc/XDDz9EdHQ09u7di/feew/Lli1TKp7ahDI8PBxfffUVv71/\n//7IyMhAYGAgOI6Dq6srpk2bJrGfolFrT09PrFq1Cv7+/tDX18eWLVv4FT0aMvKupaWF9evXY968\neSgrKwMAeHh4YNGiRQCAxYsXIzY2Ft7e3tDW1oadnZ3EDZ719RkZGYlRo0ZBKBRi6NChGDt2bL3H\n+cknn2DGjBkwMzODl5cXjIyMUFJSAl1dyZWSpk6dCnd3d/znP/9R+bjJm4dj9NOLqKC0tBSLFy/G\nokWLwHEcFi5ciHnz5vGPQJaVVL+ORFssFmPt2rX45JNPoK2tXW/9nTt3wsHB4a1JtOX54YcfMGDA\nADg6OtZbt7S0FOvXr8fkyZPljhylpKRg9JmGL+9Xn01DgtDDyrLJ2m/tid7bGH9OTg4sLSWvCXpg\nDWmpZF2vAHDhwgUMHDiwGSIiTY1GtIlKbt68iS5duvA3zLz//vu4desWOnfujNWrVyMnJwdffPEF\nOnXqhOHDhwMAKisrsWXLFly/fh2dOnXCyJEjAdSMpu7atQscxyEwMBA9e/YEUHPH940bN5CbmwvG\nGGJjY6GhoaEwrqSkJPj4+Egk2dOmTYOzszOysrLg5ubGxyOPvHiOHz+Oc+fOIT8/H15eXggICAAA\nJCcn48SJExAIBPD09ISXl5fCduSR1468+OW1f+vWLWzbtg3V1dXo0KED/4CI1NRUpKWlQSwWS/zg\n+frrr3Hjxg3cuXMHZmZmmDZtGh48eICdO3fyI1lxcXGIiYmBjo4O2rVrh+7duyMtLQ0DBgxQeEyt\nVWtOUgGKv5aFQRtKhAkhLQIl2kQlxcXFElMH9PX1UVRUBACYPHkyYmJiEBcXJ7VPcHAwDAwMMHv2\nbIwcORLV1dX48ccfsXjxYmhpaWHRokVwd3fnl7J69uwZYmNjlZ5zd+nSJQwdOlRiW0VFBSIiIqCt\nrY0FCxbA29sbRkZGMveXFU+3bt2gpaWFvn37YsCAAaioqMC8efP4RPvMmTOIiYmR+LOhonbkkdWO\nvPgNDAzE+pS+AAAgAElEQVRknjcNDQ388MMPiImJkTpGT09PeHp6IiYmRmL7rFmzkJCQgODgYH4N\nWSsrKxQVFaG0tBRPnjyBubk5v44uUPPD6vvvv1eYaG/0lj8qw2lpglPiLw7yWOjpNXhfQggh5HWj\nRJuoRE9PD1lZWfzroqIiCIVChfsYGRnxyV/tiHNRURGePHnCzyssKSnBkydPYGpqCgDo3LmzSje2\nVFZWSs2rMzAw4JNEe3t7FBQUyE20ZcXz9OlTmJqa4tq1azh//jx0dHRQXl7O7zN58mQcOXIERUVF\n6N69O1xcXBS2I4+sduTFz3GczPOmo6MjcZ5VUXf2mIeHB86cOcOP4L+qbdu2KC4uVtiexXz58xJ1\npkXiZnU5P3J58uRJAFDp9X0V66vy+rvvvoOrq2uTtd/Ur9/G+E1MTGT+KZ6QlqiwsJC/Xutez+TN\nRIk2UYmTkxN+/vlnDB8+HIwxXL58GUOGDOHLKysrlbr728DAAFZWVpg9ezY/v7sxDA0NUVpaKtHW\nkydPUFxcjHbt2uHu3bsIDQ1tUDybNm3C119/jYKCApw+fZrfbmJign/+85948eIFYmNjsWzZsgYd\nl6x25MWvq6srs33GGJ4+fYrHjx/LXG9XFR4eHli5ciUAICwsTKKsoKAAFhaKVwbRmxMlt6zKqB2M\ntThczfwTAGAsqvkhoY7XHQzMpb6wVH39apLXkP2b+/XbGH9OjuIbaAlpSQwNDfn/pwT77UCJNlFJ\nu3btEBAQgIULF/JzhGvvLAdqviiXLl0KU1NTfPzxx3Lb4TgOI0eOxFdffQWO42BsbIwpU6ZIlKti\nwIABOHHiBPz8/Phturq62Lx5M7Kzs9G3b1/o1Zl2sG3bNjx48ABBQUEK43F2dkZsbCxsbW0lps1s\n2rQJ9+/fR2lpKd9vfccli6x2FMUvq32O4zBhwgSsXr0a1dXVMDIywvTp05U6d3XPddu2baGvrw+R\nSCRV9/Tp0/XesBOdMkGpftUtNmwtzIysG9VGa//io/gJIaRloVVHyBtj8+bN6NevH+zs7AC8vmUF\nm0pzxr9mzRqMHTtW4ofF33//jStXrii8qTQlJQVfHZX/A6spxYatRSeRe7P0TZqPvFUcCGmJaNWR\ntw+NaJM3xkcffcSvQ0sa5tatWzhw4ADee+89qfWyjY2N6125BQBiBim3dqygjRYEOupbGaKDgewn\nUqribVweryVp7fETQkhdlGiTN8qrNx225tFsoHnid3R0lHhIxavMzMyUaiPXZ55S9br/shomvd/u\ndcxJ03j2uATPCxU9h7RxDAx1YGSiW39FQshbjxJtQohadf5xhVL1qgyMkHnncRNHI5u8RKm1j6ZS\n/DWeF4rx8/qme3BSaFR3pRLt+Ph47Nixg7+B2MXFBcuXL1dLDElJSXBwcICzs7NK+y1fvhxJSUnQ\n1taGvb09Vq9erZZ4rly5gtzcXInHtgM150BPT49f118VFy9exPz58yEWi6GhoYGBAwfW+wRbZX33\n3XcYN26cxD1GjfHbb78hPj4eGRkZ2Lt3b71PKCZvD0q0CSFqtS3lqZI1la2nfsomSoQ0BsdxiIqK\nQnR0tNrbPnjwIPz8/FRKtE+ePIljx47hyJEjDXosuiLp6em4dOmSVKLd0H4qKiowceJEJCYmomPH\njgCA58+fNzrOWmvXrsWIESPUlmj369cP/fr1Q3BwsNrPLWndlF+omBBC3nC169q2VhR/yyNvvYGi\noiJER0cjJCQEPXr0wJIlSyTK16xZA29vb/j5+SEkJESibMqUKUhJScGXX36JgIAAHDp0SOl4xGIx\nSktLZZYlJCTA29sbvr6+mDFjBsTi/02/efV5CSdPnkR4eDj/ev369Vi5ciUOHDiAgIAAfonSWjk5\nOfj444/h5eWlcDWqV6WkpMDNzY1PsoGaZVhrFRQU4KOPPkJQUBAGDx6Mixcv8mXx8fGIiYmR2adY\nLMagQYOQn5+PsLAwBAQEIDs7my/ftm0boqOjERERAV9fX8yfP58vy8jIwJgxYxAcHIwePXrgwIED\nSh0LebvRiDYhRK0Cx6hv3rWWhgDamuofHTIw1Km/EiGNxBhDYmIiDh8+DADo27cvZs+eDaDmqbpL\nliyBsbExysrK4O7ujqioKJibm6OwsBCrVq1CRkYG/7TcV33zzTeIjo6Gv78/goKClI6nT58+CAgI\ngKenJ8LCwjBp0iT+ibTHjx/HgQMHcOjQIWhpaSEmJgbLly/HvHk191woGqWNioqCrq4uLl26hPj4\neKlzcPXqVWzduhV6enpwc3PDvXv3YGtrqzDWu3fvKqwzZ84cjB49Gj4+PsjKysLIkSNx4sQJvjwj\nI0Nmnzo6Ojh06BC6du2KHTt2wNjYWKrt1NRU7N69W+qvBSKRCBs2bIC2tjYuX76M8ePHY/DgwQqP\ngxBKtAkhajX11AO1tfXvAEc4WurXX1FNaI5z82rt8dfFcRwiIyPlTh3R0NBAcnIyMjMzoa2tjfz8\nfJibm8PQ0BDe3t4IDQ3FoEGDEBISIvNBVA1ZnXfGjBn4+OOPkZCQgEGDBiE5ORlt27bFsWPHEB4e\nDi0tLQA1yfOECRP4RLs+jDGZ8XAcB19fX34VI6FQiMLCQpXjristLQ35+fn49ttvAQAvXrzAs2fP\nYGRk1Kg+OY5DUFCQzCk5enp6yM7Oxvnz55GVlYW8vLxGHwd581GiTQhRq38HOKqtLVM9bbW1RUhz\nkJcMX716FZMmTUJkZCRcXV1hYmIiUTchIQH5+fk4ePAgfHx8sGfPHtjY2Ei00dC5wPr6+pgzZw4u\nXbqEc+fOoV+/fgCA6upqvk51dbVK7Suq25AfBPb29ti1a5fcck1NTWzbtk1qGdLG9Fnfvlu3bsX2\n7dsRGRmJ3r17N7h98nahOdqEELXqYqmvtv8sDNS3zrYyWvscYYq/9UhLS4Ovry8iIiJgYGCAzMxM\niQSvqqoKpqamiIiIgIODA27cuCGxv46ODh49egRAMkFWpLKyEi9evABQM0f8/v37sLe3BwB4e3vj\np59+Qnl5OQDghx9+kLixUUtLCyUlJQCAs2fPSrXdpk0bleNRxMvLi7/Bstb9+/f5/x80aJDEEqiq\n9tmmTRv+uQuvnndFCfqhQ4cwY8YMhISE4M6dO3Lr0nMAyatoRJsQQsgbxcBQB6FR3Zu0fWVt2LAB\nSUlJAAAHBwd+qkNISAhGjx6NEydOwMnJCb169eITv+rqagwdOhSVlZUoLy9H79694e3tLdHuhx9+\niOjoaOzduxfvvfee1A2Isty9exeTJk1CmzY1P2BjY2NhbW0NAOjfvz8yMjIQGBgIjuPg6uoqsab+\n1KlTMWrUKLi4uEBXV1dqBNvT0xOrVq2Cv78/9PX1sWXLFn5Fj4aMvGtpaWH9+vWYN28eysrKAAAe\nHh5YtGgRAGDx4sWIjY2Ft7c3tLW1YWdnhzVr1vD719dnZGQkRo0aBaFQiKFDh2Ls2LH8fvL2/eST\nTzBjxgyYmZnBy8sLRkZGKCkp4ee515o6dSrc3d3xn/8o9/Au8majR7ATQtSmdqUAQl4XegQ7aU3o\nEexvH5o6QgghhBBCSBOgRJsQQl5q7XOEKX5CCGlZKNEmhBBCCCGkCVCiTQghL7X2dZwpfkIIaVko\n0SaEEEIIIaQJUKJNCCEvtfY5whQ/IYS0LLSONiGEkDdKyb0HED942GTt61iZQdfWqsnaJ4S8OSjR\nJoSQl1r7HGGKv4b4wUOcGzZZLW3J0v2X1Uol2iYmJli0aBGio6Px119/wdvbG7/++is8PDz4Ordu\n3cLOnTsRExMjt51vv/0WpaWlmDNnjlTZX3/9hbi4OOzfvx8AsHr1aiQlJeHKlSvIzMxswNHJ99//\n/hfTp09Henq61FrQV65cQW5ursTTJAHgt99+Q3x8PDIyMrB371507dpVbfHI67OWMueWkKZGU0cI\nIYSQJtC2bVukpqYCALZv384/7vxVjo6O9SaCqjxZcfLkyfyTKNVtz549+Oc//4l9+/ZJlaWnp+Po\n0aNS2/v164ekpCR07ty5QU+IVERen7WUObeENDVKtAkh5KXWPkeY4m9ZBAIBXF1dce7cOdy9exeO\njo6ofRhzWVkZAgIC0KdPH4SHh0vtO3fuXPTr1w8jRozAtWvXJMp++ukn9OrVC0OHDpWZ9MpTVVWF\nBQsWICAgAL6+vtixY4fS+z5+/BiPHj3CggULsHfvXomy9evXY+XKlThw4AACAgKUehx8raVLl2LY\nsGHo378/RowYAbFYzJcJhUJs2rQJw4cPh7u7O/744w+l+hSLxQrP7alTpxAcHIyAgAD4+fkhPT1d\n6XgJURVNHSGEEEKaSFhYGMaMGYOJEyfiyJEj/Pa2bdsiKSkJp06dwurVqyX22bdvH65du4bU1FQw\nxjBq1CjY2NgAqHmE95IlS5CWloYOHTpgxYoVSseyZcsWCAQCJCUloby8HEFBQejZsyfftiK//vor\nhgwZApFIBIFAgOzsbFhbWwMAoqKioKuri0uXLiE+Pl7peADg448/5kedR48ejYMHD2LYsGEAgPLy\ncrzzzjvYtWsXtm3bhsTERHzwwQf19qmjoyP33GZmZmLq1KnYu3cvHz8hTYlGtAkh5CWa49y8Wnv8\nsrz77ruYPn06hg8fDkB6GkjtCPerzpw5g9DQUAgEAmhoaKBPnz58vQsXLqB///7o0KEDAGDAgAFK\nx3L8+HGkpqYiODgYH374IcRiMW7cuKHUvnv37sWvv/4KX19fPHz4EHv27JE6DlnHUh8jIyOcPHkS\nmzZtQklJCfLy8vgyHR0dBAYGAgBEIhEKCwtV6lNW2ZEjRzBkyBBKsslrQyPahBBCSBMKCwtTqb6G\nhoZEkvjq/2tqasotq4+mpibmzp0Lf39/leLJz8/H8+fPkZaWBgDIzc3FmDFj8Nlnn/F1GjL/uqSk\nBEFBQRg0aBB69OgBBwcHlY6nIX1yHIfKykqV9yOkoWhEmxBCXmrtc4Qp/pZPmUSyb9++2Lt3Lxhj\nKC4uRkpKCl/m7u6O33//Hc+ePQNjTKU52oGBgfjmm29QXFysdCxAzbSRgQMH8q8tLCxQXV2N+/fv\n89vatGmDR48eAQCqq6tltlO3v1u3bkFLSwuzZ89G165dkZ6erlKirUyfdXl7e2PPnj24ffu20v0Q\n0hiUaBNCCCGvSd1RWI7jpLb5+fnByckJnp6e+Oijj2BlZcXX6dChA+bNm4fAwEAEBQXJbBP4382W\nmzZt4rcNGzYMgYGB/I2AgYGBfNKtyN69e+Hn5yexzcfHR+KmSE9PT9y+fRv+/v4YMWIESktLpdqZ\nOnUqZs6cyb92dXWFUChE3759MXHiRPTp04dPnOuSdZ7q61PWPiKRCAkJCZgyZQoGDRqEgIAA/P77\n7/WeA0IaimMNmVRFCCEypKSkwM3NrbnDIG+RnJwcqTWd6YE1pKWSdb0CNXPvX/2rAXlz0BxtQggh\nbxRdWytKhAkhLQJNHSGEkJda+xxhip8QQloWGtEmhKhV5p3HzdKvgaEOjEx0m6VvQgghRBZKtAkh\navXz+nPN0m9oVPdGJ9qtfR1nip8QQloWmjpCCCGEEEJIE6ARbUKIWgWOaZ5VRyq0NJH7vBwWBm0a\n3MbJkydb9agqxU8IIS0LJdqEELWaeupBs/X97wDHRiXahBBCiDpRok0IUauvPM2brnEtbXBa2nKL\nTfXklymjtY+mUvw1Hj7LRsHzPLW0JUsHA3OYGVk3WfuEkDcHJdqEELVyXDi2ydrWmfc1NDt2abL2\nyZuh4HkeFm+f2GTtx4atrTfRNjExwaJFixAdHY2//voL3t7e+PXXX+Hh4dFkcQHAlStXkJubCx8f\nH5X3raqqwtSpU7Fy5UpoalJ6QIg60M2QhBDyUmtfx5nibznatm2L1NRUAMD27dthb2//WvpNT0/H\n0aNHG7SvhoYGVq9eTUk2IWpE7yby2h07dgwnTpzAs2fPUF1djfbt28PDwwM+Pj6YO3cu4uPjmzvE\n10osFuPgwYMYNmxYs7efkJCAq1evYvz48Q1+lHrFrP9r0H7KKG6ri8wHORLbLPT0IDQ0aLI+CWkI\ngUAAV1dXnDt3Dnfv3oWjoyMYYwCA0tJSxMTE4O+//0ZVVRVCQ0MxYcIEADU/NtasWYOffvoJABAf\nHw89PT1MnjwZACAUCrF48WIcOHAA9+7dw5o1a/DBBx8AANavX49169ahpKQEly9fRv/+/TFnzhwA\nQFFREebOnYvc3FxkZ2cjODgY8+fP5+OdOnUqbt68iStXriAzM1PiWBT1SQhRjBJt8tp5eXnBy8sL\nqampKC8vh5+fH1/GcVwzRtY8dHR0mizJVrX9Tz/9FDt37mxUf71P/9Wo/VW1aUiQ2hJtmuPcvFp7\n/HWFhYVhzJgxmDhxIo4cOcJ/vi1fvhxGRkZITk6GWCxGcHAwXFxc0K9fP6k26n4mlpeX45133sGu\nXbuwbds2JCYm8klvVFQUdHV1cenSJakBC319fSxZsgTGxsYoKyuDu7s7oqKiYG5ec0/FqlWrAAAi\nkUgqBkV9EkIUo0SbNKvaEZ5alZWV2LJlC65fv45OnTph5MiRAICLFy9i165d4DgOgYGB6Nmzp8J2\np02bBmdnZ2RlZcHNzQ3Dhw9X2E5qaipu3LiB3NxcVFdXIy4uDgKBAMnJyThx4gQEAgE8PT3h5eXF\n1z969CgYYxgwYAC8vb0BALNmzULnzp2l4pcnNTUVaWlpEIvFWLp0Kb9d1XaOHz+Oc+fOIT8/H15e\nXggICFDYvrzjkkeV87/Re6DCttTNtKISFQ8fQcvsndfaLyH1effddzF9+nQEBATgyJEj/PZjx45h\nw4YNAGp+CI8aNQpHjx6VmWjXpaOjg8DAQAA1SXFhYaFEOWNM6nO1loaGBpKTk5GZmQltbW3k5+fz\niXZj+iSEyEeJNmlRiouLERwcDAMDA8yePRsjR45EdXU1fvzxRyxevBhaWlpYtGgRunXrBi0tLbnt\nVFRUICIiAtra2liwYAG8vb1hYGAg1Y67uzs/H/HZs2eIjY2FQPC/WxfOnDmDmJgY6Or+74mDz58/\nx5EjR7Bo0SJwHIdFixbBzc0N7du3R0lJiVT8inh6esLT0xMxMTES21Vtp2/fvhgwYAAqKiowb948\nPtGW176s45JH1fNvMf8/9bapblVx09WSaLf2dZwp/pYnLCxM5vbq6mr+/xljEp87jSHvr4JXr17F\npEmTEBkZCVdXV5iYmMhNyAkh6kOJNmlRjIyMYGRkBADQ1q5Zqq2oqAhPnjzBsmXLANQkoU+fPoWp\nqancdgwMDKCjowMAsLe3R0FBATiOk2rnyZMnfDudO3eW+rKbPHkyjhw5gqKiInTv3h0uLi7Iz8+H\ng4MDNDQ0AABOTk7Iy8tD+/btZcavrvOgyLVr13D+/Hno6OigvLy83vqyjkuehpz/5lJ7M11tsqbq\n68uXLzdq/+Z+/TbGb2JiAktLS7QmAwcORGJiIpYsWYLS0lJs3boVCxcuBFDz3n/06BGAmgGDv/76\nS6UfH23atOH3r66u5j/T0tLS4Ovri4iICGRkZCAzM5MS7WZQWFjIX691r2fyZqJEm7R4BgYGsLKy\nwuzZs9GuXTul9nny5AmKi4vRrl073L17F6GhodDV1VW5HRMTE/zzn//EixcvEBsbi2XLlsHU1BS3\nb99GZWUlOI7DjRs3+BHk5rJp0yZ8/fXXKCgowOnTp+utL+u45FH1/OvNiVIpdnV4rlOF25l/wlhU\n8+PqauafAKDy636B3aXKOxj870/rdb8QW9rrTz75pEXF8zriz8mRvDkWqFnnOjZsrdR2dXn1mmiI\nGTNmICYmBr6+vqiqqkJYWBh/bO+//z4sLS0RFRWFDh06wNDQUO4oNcdxUmWenp5YtWoV/P39oa+v\nj82bN6Ndu3YICQnB6NGjceLECTg5OaFXr17Iz89XOXZZfRLlGRoa8v9PCfbbgRJt0qyU+cDmOA4j\nR47EV199BY7jYGxsjClTpijcR1dXF5s3b0Z2djb69u0LPT09AFDYjqxYNm3ahPv376O0tJS/adPA\nwAA+Pj5YuHAhGGPw8vKCsbGxKoetds7OzoiNjYWtrS309fXrrS/ruF61bds2PHjwAEFBQSqf/+iU\nCY06lpZGmTWTSctiZmTd7P9mdVfuqF1FBKhZ+m/lypVy992yZYtS7fbu3Ru9e/eWKG/fvj3S0tKk\n9jM3N1dq2b+6cSvTJyFEPo7R347IGygmJkbi5j/yeqSkpEBD63mz9S9oowWBTsMfwV5YWCgx4gS0\nrqcAtvY5zg2JPycnp9VNHSFvL3nX64ULFzBw4Ou9kZy8HjSiTQhRq1yfec3Wd/dfVsOkd8PW/wZq\nEr1Oru5qjIgQQsjbjJ4MSd5INJpNGqI1jwYDFD8hhLQ0NKJNCFGrzj+uUHkfDU0BNDU1Gt23jpVZ\no9sghBBC1IUSbUKIWm1LearyPqFR3WFmb9IE0ajmbZzj3JK09vgJIaQuSrQJIWoVOEb1OdIVWpq4\nlFPUoP5M9bRhYdDwGyAJIYSQpkKJNiFEraaeevBa+/t3gKPaEu3WPppK8deoePgIVQWq/2VFWRod\njNXyJFJCyJuPEm1CCCFvlKqCp3j4her3CijLLG66Uol2ly5d8NlnnyEqquYhTh4eHvj5559hbd10\ny0XGx8djx44dsLCwAAC4uLhg+fLljW534sSJuHr1KoRCocSa4Or07bfforS0FHPmzGmS9glpDpRo\nE0LU6t8Bjq+1P1O9hj/qvq7WPkeY4m951q5di8jISAgEgtfyREWO4xAVFYXo6Gi1trt27VqcOnUK\nq1evVmu7r6InTpI3ESXahBC16mJZ/5MpCXkbcByHXr16YceOHQgPD5coq6qqwhdffIE///wTlZWV\nGD9+PEaMGAEAGDx4MNasWQMbGxu+fv/+/fHTTz8p9XAeec+hi4+PR2FhIQoKCnD79m04ODjghx9+\n4MsXLFiA06dPA6h5emWvXr0wb97/1sWX125GRgaWLl2KwsJC5OXlYcGCBRg8eLBSfc6dOxenT5+G\nhYUFOnToAJFIVO/xEdKaUKJNCCEvtfbRVIq/5Zk0aRI++eQThIWFSWzfsmULBAIBkpKSUF5ejqCg\nIPTs2RM2Njawt7fHgwcPYGxsjMLCQgiFQjx9+lTpJDsxMRGHDx8GAPTt2xezZ8/myzMyMrB161bo\n6enBzc0N9+7dg62tLdLT0/HXX3/h6NGj+P3337Fo0SKJJFsRkUiEDRs2QFtbG5cvX8b48eP5RFtR\nn/v27cO1a9eQmpoKxhhGjRol8eOCkDcBJdqEEEJIEzE3N4ebmxv2798vsf348ePIzMxEcHAwAEAs\nFuPGjRuwsbGBg4MDsrOz8csvv+DUqVM4fPgwDA0NleqP4zhERkbKnDrCcRx8fX2hr1/zVyehUIjC\nwkIANSPYZWVlqKysxNOnT2Fmpvya9Hp6esjOzsb58+eRlZWFvLw8pfo8c+YMQkNDIRDUPDuvT58+\nKCkpUbpfQloDSrQJIeSl1j5HmOJveTiOw5QpU/Dxxx9LbNfU1MTcuXPh7+8vtY+dnR3Onz+PW7du\nYcyYMfj222/h4OCgdJ/ypngoKnNycoK7uzt69+4NZ2dnlZ6uu3XrVmzfvh2RkZHo3bu30n1qaGhI\nlCmKm5DWih7BTgghhDQhOzs72NjY4NatW/y2wMBAfPPNNyguLgYgmWTa29sjMTERo0aNwujRo7F5\n82Y4OjbtTcYZGRm4ffs2Tp06hS1btsDKykrpfQ8dOoQZM2YgJCQEd+7cUTph7tu3L/bu3QvGGIqL\ni5GSktLQ8AlpsWhEmxBCXmrto6kUfw2NDsYwi5uulrbkta+MV1fRmDZtGvbt28e/HjZsGPLy8hAc\nHAwdHR0AwM8//ww9PT3Y2dlBV1cXQ4cOhZaWFgIDA2Fvb690fBs2bEBSUhKAmqT91ZVC5K3sYWxs\njOzsbAwePBgCgQBt2rTBiBEjJOaWcxyHs2fPIjAwEIsWLUK3bt0AAJ988glmzJgBMzMzeHl5wcjI\nCCUlJdDV1VXYp5+fH1JTU+Hp6YkOHTrAysqKVh4hbxyO0d9qCCFqkpKSAjc31Z8MSUhD5eTkKHWT\nIFHs8OHDOH78OJYsWQINDQ0cOnQIK1euRHJycnOH9kaRd71euHABAwcObIaISFOjqSOEEPLSyZMn\nmzuERqH4SUOJRCJcunQJwcHBCAwMxPbt25GQkNDcYRHS6tHUEUIIIeQt5+Liwk83IYSoD41oE0LI\nSzTHuXm19vgJIaQuSrQJIYQQQghpApRoE0LIS619jjDFTwghLQsl2oQQQgghhDQBuhmSEEJeau1z\nhCn+GlmFz5H78kEwTcFCTw9CQ4Mma58Q8uagRJsQQsgbJbe4GOP2/dpk7W8aElRvoh0fH48dO3bA\n3NwcFRUVmDt3Lry9vdXS/7JlyxASEgInJyepsvHjx+P+/fswNTXF1q1bIRD87w/Xt27dws6dOxET\nE6OWOAgh9aOpI4QQ8lJrnyNM8bccHMchKioKhw4dwsaNGzFlyhSUlZWppe05c+bITLIfPXqEP//8\nE0ePHsW2bdskkmwAcHR0pCSbkNeMEm1CCCGkCdQ+eFkkEsHS0hIPHjxAUVERoqOjERISgh49emDJ\nkiUS+5w6dQrBwcEICAiAn58f0tPT+bINGzYgICAAtra2uHjxosR+y5YtQ3h4OJ48eYKAgABERETw\nZWKxGAEBAejTpw/Cw8Ol4lTUJyGkcWjqCCGEvERznJtXa49fnps3b6KoqAi2trbQ1NTEkiVLYGxs\njLKyMri7uyMqKgrm5ubIzMzE1KlTsXfvXlhbW0u1M378eIwfPx7BwcHgOE6ibM6cORg5ciTCwsKk\nHjyjo6ODpKQknDp1CqtXr5Yoq69PQkjjUKJNCCGEqBljDImJiUhOToaBgQESExOhqVnzlauhoYHk\n5DeKKWEAACAASURBVGRkZmZCW1sb+fn5MDc3x5EjRzBkyJAGJ7y1I+iqlDe2T0KIYjR1hBBCXmrt\nc4Qp/paD4zhERkbi119/xY8//oiOHTsCAK5evYrAwEDk5OTA1dUVJiYmfALMcRwqKytfe5yvu09C\n3iaUaBNCCCFNQNYIclpaGnx9fREREQEDAwNkZmby9by9vbFnzx7cvn37tcXYHH0S8jahqSOEELXK\nvPO4uUPgGRjqwMhEV+n6rX2OMMXfstSdRw0AISEhGD16NE6cOAEnJyf06tUL+fn5AGpumkxISMCU\nKVNQXV0NjuMQGxuLXr16NarPV8vqlqujT0KIfByrb1IXIYQoKSUlBcd25Td3GLzQqO4Q2Zs0dxik\nCeXk5MDS0lJiGz2whrRUsq5XALhw4QIGDhzYDBGRpkYj2oQQ8tLJkydb9agqxV9DaGhAiTAhpEWg\nRJsQolaBY9yarW8tDQG0Nf/3p3EDQ51mi4UQQgihRJsQolZTTz1otr7/HeAIR0v9Bu/fmkeDAYqf\nEEJaGkq0CSFq9ZWnecN21NIGp6XdqL5N9Rq3PyGEEKJOlGgTQtTKceHYBu2nM+9raHbsouZoVENz\nnJtXa4+fEELqokT7LXbs2DGcOHECz549Q3V1Ndq3bw8PDw/4+Phg7ty5iI+Pb+4QX5uYmBgsXbpU\nLW0dPXoU3t7eTda+PGKxGAcPHsSwYcNU2k/dsVXM+j+V6mtraKCNhiY4E1O1xUAIIYS0BJRov8W8\nvLzg5eWF1NRUlJeXw8/Pjy9TtBYrUSwlJUUq0X4ddHR0VE6ym0Lv03+pVH/TkCD0sJJe7qo5tPbR\nVIqfEEJaFkq0CQDpJ5hVVlZiy5YtuH79Ojp16oSRI0cCAC5evIhdu3aB4zgEBgaiZ8+eCtudNm0a\nnJ2dkZWVBTc3NwwfPlxhO6mpqbhx4wZyc3NRXV2NuLg4CAQCJCcn48SJExAIBPD09ISXlxdf/+jR\no2CMYcCAAXyCO2vWLHTu3FkqfnnEYjG+++47ZGVloWvXrggNDcWDBw+wc+dOTJs2DQAQFxeHmJgY\n6OjIX8li9erVyMnJwRdffIFOnTrxx6uO8/nbb78BAPr16wcAuHz5Mq5du4bQ0FCkpqYiLS0NYrFY\nYnRa3nnYs2cPzp49C2tra4jFYr6+rPOpqF9CWqKqh7lgj5tuPXfOxBQaZhZN1j4h5M1BiTaRqbi4\nGMHBwTAwMMDs2bMxcuRIVFdX48cff8TixYuhpaWFRYsWoVu3btDS0pLbTkVFBSIiIqCtrY0FCxbA\n29sbBgYGUu24u7tDU7Pmcnz27BliY2MhEAj4ds6cOYOYmBjo6v7vKX/Pnz/HkSNHsGjRInAch0WL\nFsHNzQ3t27dHSUmJVPyKvHjxAhEREWjTpg0WLFgAHx8fWFlZoaioCKWlpXjy5AnMzc0VJtkAMHny\nZMTExCAuLk7t59Pc3BxXrlzBzZs3UVJSgmfPnvEPPvD09ISnpydiYmIk9pF1Hp4+fYo///wT//d/\n/4fy8nLMmjVL4flU1K8sG73lP3SB09IEpy15w6KFnp78E/qatfY5whR/DfY4H+IvZ6khItl05n0N\nKJFol5SUYObMmbhz5w40NDQwdOhQTJgwQS0xJCUlwcHBAc7OzhLbg4KCsHjxYnTt2rVB7U6aNAkX\nLlzA2bNnle5z9erVSEpKwpUrV5CZmdmgfuWR12et/fv3gzGGIUOGqLVfQtSFEm0ik5GREYyMjAAA\n2i8To6KiIjx58gTLli0DUPMl8vTpU5iayp9ba2BgwCen9vb2KCgoAMdxUu08efKEb6dz584SSTZQ\nk8AeOXIERUVF6N69O1xcXJCfnw8HBwdoaGgAAJycnJCXl4f2/7+9O4+Lqtz/AP4ZGGDYBhAFV1Cx\n65J6vbhctVRiSYGgrMSlvDcVbQG1n2mKiQt6FTXNTM1cSr2mVibeXiKZTmJS13JJXEgtwXUgZJVF\nQJj5/YHMFZkZ5gyzMOPn/Rczc87zfM6ZA3znmeec06KF2vzaPJyzU6dOyM/Ph4eHBwYPHowTJ04g\nNzdXNYquD0PszzZt2iA1NRXJyclQKBRo3749+vbtK7jfvLw8+Pn5wcbGBo6OjpBKa2/soW5/Zmdn\nw8fHR1C/beat0via5O2J+F1RqSqm0tLScB1Ah4ceA6j3uikfnz9/3qz9M7/w/J6enlo/+JnTRx99\nhA4dOmDjxo0Gbzs5ORnDhw9vUIA2ZdpfZWUlTp48CR8fH5w/fx69evXSqc/Y2FjExsbCx8dH7741\n0dRnncjISIP3aUzFxcWq4/XR45msEwtt0plUKkW7du0wa9YsODk56bROQUEBSktL4eTkhKysLERF\nRcHZ2VlwO56ennjhhRdQVVWF+Ph4LF++HF5eXrh69Sqqq6shEolw5coVhIWF6bVtdTkdHR2RmZmp\nmhYxePBgrFmzBgAwZswYndqqrq6GQqFo8GHhUUL3p6urK/744w/8/e9/R8uWLfHFF1/gueee0ynT\nw7y9vZGVlQWFQoHS0lIUFhYCgMb9KbRf7wX/p/E125YeeNq7lerxo/9gzP34zTffbFZ5mL/x9eVy\nOZqzoqIitc+Xl5cjLi4Oly5dQk1NDaKiolSj3WlpaVi/fj12794NAEhMTISLiwtiY2MBANOmTYNM\nJsPp06exceNGTJ06FaGhoaq2T5w4gRUrVuCPP/5AdHS0zqPoR44cQWBgIPr27YukpKR6hXZjfWpS\nUlKCOXPmIDs7G7du3UJkZCTmzZun2s5Vq1ahZ8+eSE9PR2lpKfbu3YsWLVo02ucvv/yChQsX4tat\nW5gyZYpq39T57LPPsHv3bojFYohEIuzfv1/rt6+m4ubmpvqZBfbjgYU2AdBtFEQkEmHcuHFYsWIF\nRCIRPDw8MG3aNK3rODs7Y/v27bh16xaGDBkClwfTBLS1oy7Ltm3bcP36dZSXl6tO2pRKpQgJCcHC\nhQuhVCoRGBgIDw8PIZvdIOfNmzcxdOhQVU5HR0e4uroKGqnp1asXli1bBi8vL0yePFnjcvrsT4lE\nguDgYDg5OeGbb77R+YPKw6RSKfr164f33nsPHTp0UE3H0bY/hfQrefIvgjMRWaOpU6finXfeQUBA\nAN58802MHj1a9drq1avh7u6OQ4cOoaKiApGRkejWrZvqXIiHPfo3ce3atYiJicGIESMQERHRYHm5\nXI5du3bhxo0bCAsL07nQTkpKQnR0NHr06IG1a9di/vz5OvepiaurK5YsWQIPDw/cu3cP/fr1Q3R0\nNFq3rr3e/u+//47ly5dj8eLFiImJQXJyMsaPH99onwMGDMDBgwdV3wg+bP/+/fjmm2/wn//8B46O\njjpnJTIGFtqEgICABs89fELdwz9369YNCxcu1LltBwcHxMTENHheUzvqsgDAa6+9pvb5urnJj9KU\nX5PVq1drfE0kEuGZZ55ptI06//hHw+tIG2p/JiQkqH5etarhFI1Ht1VTv88//7zaOY2a9mdj/VoL\nznE2L0vP/yhnZ2ds3LgRN2/exPz585GWloaPPvoIQO3lVbdu3Qqg9oPsK6+8giNHjqgttDV59CT2\nOnVXH/Lx8cHdu3d1auvevXs4duwYrl+/DpFIhDt37uDXX3/F3/72N5361MbW1haHDh3CjRs3YG9v\nj9zcXFWh3atXL/zlL39R5S0uLm6wvtA+v/nmG0ydOpVFNjULLLSJNPjjjz9w4MABdO/eHa6u+t/W\n+3GT/+MZo7YvaecN547tjNoHkSF16NABW7duRdeuXVFdXa068VuhUKiWUSqVjU43e5SmbyL1KYa/\n++47jBo1CkuXLgUAfP3119i/f3+DQlvoHPCLFy/ijTfewMSJE9GrVy94enoKzqfPvPOamhrB6xAZ\nAwttMipj36TFmLp06aK6tB/p7uRLsY0v1AT9v15ntELb0kdTmb95KS8vV02zunz5Mlq1aqUqsoOC\ngvDZZ59hyZIlKC8vx86dO1Xfbrm7u+POnTsAaq/c9OuvvzbYNxKJRLWMLueENGb//v31vjkMCgrC\n0qVLsWjRoib1eezYMTz77LOYMGECMjIycOPGDUGFtj59RkREYM2aNRg4cCBcXV2hVCp5bwgyGxba\nRGRQ/b9eZ9T2Je28jdo+WT6Rp1ftJfiM2L4uUlJSsG7dOjg5OcHR0RGfffaZ6rUZM2YgLi4Ozz77\nLGpqajBmzBhVMd2zZ0+0bdsW0dHRaNmyJdzc3BoUiqNGjUJMTAz279+P7t2715urLLSoLCsrw88/\n/4zNmzernnN3d0ebNm1w+vRp1VWGtPUJ1E4/CQsLQ1RUlKpof/HFF/Hqq6/i+PHjeOKJJzBo0CDk\n5uaqcj6aVch2alpn5MiRKCgowMiRI2Fvbw+RSIQ9e/bwm0kyC5FSn++YiIjUkMlk8Pf3N3cMvVn6\nHOHHMb9cLm+2l/cjepSm4/XMmTMICtJ8DwKyXE37romIiIiIiNTi1BEiMqh0eYlJ+/NysUcbqYNB\n2rLk0WCA+YmImhsW2kRkULMO/mHS/laGdTFYoU1ERGRILLSJyKBWhnUxaX9eLvYGa+txnOPcnFh6\nfiKiR7HQJiKD+mtbntlPREQE8GRIIiIVSx9NZX4iouaFI9pERGRVsu9WIre0ymjtG/IEXCKybiy0\niYgesPQ5wsxfK7e0yqgn5epyAu748ePx+uuv19ue8vJyDBw4EOfOnWtyhoMHD8LPzw9du3bVeZ2Y\nmBiUlZVh27ZtAIB3330Xf/vb3zB27Ngm57lw4QKys7MREhJS7/nExES4uLggNlb4HWPPnj2LefPm\noaKiAra2tggKCsK7777b5KwA8PHHH+O1116Do6OjQdr74YcfkJiYiIyMDOzfvx99+vQxSLtk+Th1\nhIiIyMB8fX0hl8vrPXf79m34+voapP3k5GRcvnxZ8Hrfffcdfv/9dwDC7yCpzblz53DkyJEGz+vb\nx/379/H6669jxYoVOHLkCA4dOoQ33nijqTFVPvnkE9y7d89g7Q0dOhQHDx5E7969ebt3qocj2kRE\nD1jyaDDA/M3Jw4X2p59+ipdffhlyuVxVaNfU1GDRokU4deoUqqurMWnSJIwePVq1/vr165GUlARb\nW1s4Oztj3759qtemTZsGmUyG06dPY+PGjZg6dSpCQ0N1yvXSSy9hzZo1WL9+fYPXNmzYgH379sHG\nxgY9e/bE0qVLIZFIAAC7du3Cjz/+iPLycty+fRsDBgzAkiVLAABbtmzBpk2bUFZWhvPnz2PYsGGY\nPXu2ql25XI7Jkyfj6tWr8PPzq3erd03q7jLbo0cP1XNSqVT1c15eHt555x0UFBRAqVRiyZIlqlHk\nxMREFBcXIy8vr0GfFRUVGDlyJHJzczFmzBiIxWJs2rQJ7du3b3Q7MzIysGzZMhQXFyMnJwfz58/H\nc889p9N+p8cXC20iIiID8/X1hUwmw6VLl7B8+XK4uLhAoVCgY8eOAIAdO3bAxsYGBw8eRGVlJSIi\nIjBw4ED4+vqiuLgYH374ITIyMiAWN/w3vXbtWsTExGDEiBGIiIgQlCskJAQffvghbt26Ve/5o0eP\n4sCBA0hJSYGdnR3i4uKwevVqzJ07V7VMamoq9u3b12C6SnR0NJydnZGeno7ExMR6rymVSly8eBE7\nd+6Ei4sL/P39ce3aNdV+0CQrK0vrMrNnz8arr76KkJAQ3Lx5E+PGjcPx48dVr2dkZKjtUyKRICUl\nBX369MEXX3wBDw+PBm1r2k4fHx9s3boV9vb2OH/+PCZNmsRCmxrFqSNERA+kpaWZO0KTMH/z4ePj\nA7lcjpSUFCxcuBDffvst5HI5OnXqBKC2sE1NTUVkZCRGjRqFiooKXLlyBQDg5uaG4OBgREVFYfPm\nzcjPz1fbh1Kp1CvbW2+9hbVr19Z7TiaTYezYsbCzswNQWzzLZDLV6yKRCBERERrnhCuVSrV5RCIR\nnn32Wbi6ukIkEqFDhw4oLi7WK/fDjh07hrVr1yIyMhIxMTGoqqpCUVFRk/vUtp0uLi7Izc3Ff/7z\nHxw7dgw5OTlN3g6yfhzRJiIiMrC6Qru8vBx79uzBV199hczMTAwdOhQAIBaLMWfOHIwYMULt+hs2\nbEBubi6Sk5MREhKCpKSkBvO79ZkLLBKJMHLkSKxevRpdu3ZVtSESiaBQKFTLKRSKBu1rK+y1ZdHn\nA0Hnzp2xd+9eja+LxWLs2rULrq7qr9uv74cQbevu3LkTe/bswcSJE/HUU0/p3T49XjiiTUT0gKXP\nEWb+5sPJyQmFhYVo0aIF7OzsMGzYMBw4cEA1HSI8PBxr165FaWkpgIbFXU1NDby8vDBhwgT4+fmp\nRrvrSCQS3LlzBwDqFciNUSqVsLGxQXR0NJKTk1XPBwcHY/fu3aisrAQAbN68ud4VRBorXB0cHPTK\no0lgYCDOnTuH9PR01XPXr19X/RwaGoply5apHgvt08HBAbm5uQDqb5u27UxJScGMGTPw4osvIjMz\nU+OyTSnyyfqw0CYiIjKCli1bqkasQ0NDoVAo0LJlSwC1JyWGh4cjMjISYWFhCA8Pr1d0jxw5EmFh\nYQgKCkL37t0RHBxcr+1Ro0Zh/fr1iIyMRFxcnM6Z6kaex44dixYtWqieHzZsGJ5//nmEh4cjJCQE\n1dXVePvtt+utp23UOiAgAFevXsWIESMwevToelf00Gfk3c7ODlu2bMG8efMQHByM4OBgbN26VfX6\n4sWLce/ePQQHByMsLAxTp05Vu52aTJw4Ea+88gpGjhyJf//73/XW07Tum2++iTlz5iAiIgI3btyA\nu7s7ysrKGiw3ffp0vPPOO0I2l6yYSMmPXkRkIHVXCrBUvA61eemTXy6Xo23btvWe4w1rqLlSd7wC\nwJkzZxAUFGSGRGRsnKNNRERWpY3UgYUwETULnDpCRPSAJY8GA8xPRNTcsNAmIiIiIjICFtpERA9Y\n+nWcmZ+IqHlhoU1EREREZAQstImIHrD0OcLMT0TUvLDQJiIiIiIyAl7ej4jogcfxOtTNiaHyF+WX\n4W5xhQESqSd1k8Dd09lo7ROR9WChTUREVuVucQW+3HLSaO1HRfdvtNAeP348Xn/99XofHMrLyzFw\n4ECcO3euyRkOHjwIPz8/dO3aVdB6q1evxsGDB2Fvb4/OnTtj3bp1Tc4CABcuXEB2dna927YDQGJi\nIlxcXBAbGyu4zbNnz2LevHmoqKiAra0tgoKC8O677xok78cff4zXXnsNjo6OBmnvhx9+QGJiIjIy\nMrB//3706dPHIO2S5WOhTUT0gCWPBgPM35z4+vpCLpfXe+727dvw9fU1SPvJyckYPny4oEI7LS0N\n33//PQ4fPqzXbdG1OXfuHNLT0xsU2vr2c//+fbz++uv47LPP0KNHDwDA3bt3m5yzzieffILRo0cb\nrNAeOnQohg4disjISIPvW7JsLLSJyKBuZObrvS6/kidr8XCh/emnn+Lll1+GXC5XFdo1NTVYtGgR\nTp06herqakyaNAmjR49Wrb9+/XokJSXB1tYWzs7O2Ldvn+q1adOmQSaT4fTp09i4cSOmTp2K0NBQ\nnXJVVFSgvLwczs4Nf882bNiAffv2wcbGBj179sTSpUshkUgAAB06dMDNmzcB1Bbs69evx+7duwEA\nW7ZswaZNm1BWVobz589j2LBhmD17tqpduVyOyZMn4+rVq/Dz88PmzZsbzSmTyeDv768qsgFAKpWq\nfs7Ly8M777yDgoICKJVKLFmyRDWKnJiYiOLiYuTl5TXos6KiAiNHjkRubi7GjBkDsViMTZs2oX37\n9gCAXbt24ccff0R5eTlu376NAQMGYMmSJQCAjIwMLFu2DMXFxcjJycH8+fPx3HPP6bTf6fHFQpuI\nDKopX9nr8pW8MXGOs3lZev6H+fr6QiaT4dKlS1i+fDlcXFygUCjQsWNHAMCOHTtgY2ODgwcPorKy\nEhERERg4cCB8fX1RXFyMDz/8EBkZGRCLG/6bXrt2LWJiYjBixAhERETonOnpp59GWFgYAgICMGbM\nGLzxxhuqgvvo0aM4cOAAUlJSYGdnh7i4OKxevRpz584FoH1kOjo6Gs7OzkhPT0diYmK915RKJS5e\nvIidO3fCxcUF/v7+uHbtmmo/aJKVlaV1mdmzZ+PVV19FSEgIbt68iXHjxuH48eOq1zMyMtT2KZFI\nkJKSgj59+uCLL76Ah4dHg7ZTU1Oxb9++Bt8W+Pj4YOvWrbC3t8f58+cxadIkFtrUKBbaRGRQ4eP9\n9V73vp0Y6fISA6b5Hy8Xe7SROhilbaJH+fj4QC6XIyUlBQsXLsS3336Lnj17olOnTgBqC9sbN24g\nMjISQO1I65UrV+Dr6ws3NzcEBwcjKioKoaGhePHFF+Hp6dmgD6VSKTjXjBkzMHnyZGzYsAGhoaE4\ndOgQHB0d8f3332Ps2LGws7MDUFs8T5kyRVVoN0apVKrNIxKJ8Oyzz8LV1RVA7ch4cXGx4NyPOnbs\nGHJzc/HRRx8BAKqqqlBUVAR3d/cm9SkSiRAREaF2So6Liwtu3bqF06dP4+bNm8jJyWnydpD1Y6FN\nRAY1/cfb5o6g1sqwLo0W2pY+msr8zUddoV1eXo49e/bgq6++QmZmJoYOHQoAEIvFmDNnDkaMGKF2\n/Q0bNiA3NxfJyckICQlBUlJSg/nd+s4FdnV1xezZs5Geno6TJ0+qMikUCtUyCoVCUPvaltXnA0Hn\nzp2xd+9eja+LxWLs2rVLVUwbos/G1t25cyf27NmDiRMn4qmnntK7fXq88DraREREBubk5ITCwkK0\naNECdnZ2GDZsGA4cOKCaDhEeHo61a9eitLQUQMPirqamBl5eXpgwYQL8/Pxw5cqVeq9LJBLcuXMH\nQP0CWZvq6mpUVVUBAEpKSnD9+nV07twZABAcHIzdu3ejsrISALB58+Z6Jzba2dmhrKwMAPDLL780\naNvBwUFwHm0CAwNVJ1jWuX79uurn0NBQLFu2TPVYaJ8ODg7Izc0FUH/fayvQU1JSMGPGDLz44ovI\nzMzUuGxTinyyPhzRJiKDWhHQ2twR1Gp5vwTVGZlal7lbXAypm5uJEtUn8vSCrXebJrVh6XOcDZVf\n6iZBVHR/AyTS3L4uWrZsqRqxDg0NxapVq9CyZUsAwEsvvYScnBxERkaqTjj88ssv4eLiAqVSiZEj\nR6K6uhqVlZV46qmnEBwcXK/tUaNGISYmBvv370f37t2xfPnyRvNkZWXhjTfegIND7Tc78fHxqpMA\nhw0bhoyMDISHh0MkEqFXr154++23VetOnz4dr7zyCrp16wZnZ+cGI9gBAQH48MMPMWLECLi6umLH\njh2qK3roM/JuZ2eHLVu2YO7cubh37x4AYPDgwUhISAAALF68GPHx8QgODoa9vT06deqE9evXq9Zv\nrM+JEyfilVdeQYcOHTBy5Ej84x//UK2nad0333wTM2bMgLe3NwIDA+Hu7o6ysrIGJ5ZOnz4d/fr1\nw6pVqwRvN1kfkZIfvYjIQGQyGf6yenbjC1IDkrnvQ9zjr01q43EstOVyOdq2bWukRESGpel4PXPm\nDIKCgsyQiIxN64j20qVLMWPGDNWn7aqqKqxYsQLz5s3DnDlzGpxdbC2OHDnSYPTAUO3ExcXV+7pL\nFxUVFUhOTsZLL73U5EyWwFD7zdIJPQ7Pnj2L3bt3w9PTs95NHQx1/Oia5/7MfzWpH2tkb2sLB1vt\nXyCKPL2a3I8lF9mA5ecnInqU1r/8LVu2REFBgerTV0FBAby8av8ZWPMF2WUymUEKbUO1I5FIHpsi\nGzDcfrN0QvfDyZMnMXnyZHTp0qXe84Y6fnTN89RPvza5L2uz7fkIDGjHUVcioseN7cKFCxdqevHG\njRtwdnbGhQsXkJWVBVtbW9y7dw/du3fHoUOHkJOTgy+//BJ//vknevXqBaD2+pNbtmyBTCaDUqlU\nnWhx9uxZrFu3DkePHoWTkxPat28PuVyOrVu3YuDAgQCABQsWYNCgQRCLxWqXr2v/u+++w4EDB5Ca\nmoohQ4bAxkbzOZ1vv/02srKykJSUhMLCQtXF7+Pi4lRFw8M/r1u3DpcvX8a5c+eQl5enWv7QoUPY\ntm0bUlNToVQqVZdo0kRbO+r2m7bt3b59Ow4dOlSvyBG6H44ePYqvvvoKSUlJqK6uxhNPPKGxnR9+\n+AHffPMNvvjiCwC1N07o27ev2hscPJxH3fs+c+ZMtdtr7P1mzv1Q187Ro0cxdOhQ2NjYaMyp6bjS\ntB80ef/993H+/HlcunQJFy5cUP1O6XL8HD16FMOGDYNIJGpynqysLOy7JVf72uPshW5d0U6q/uoI\nhpSWlgYfHx+j92Ms+uQvKSnReOUJouZG0/GanZ2t+r9J1kXriHarVq1QWFiICxcuQCQSwcHBQTWi\nXVpaisjISEilUsyaNQvjxo3D3bt3cfjwYSQkJEAkEiEhIQH+/v5wd3fH559/jsWLF8POzg4JCQno\n168f2rZti5KSEpSXl6OgoACtW7eGRCKBQqFQu3zdhfuLiooQHx+vtbCsc//+fUyYMAH29vaYP38+\ngoOD4e7urnH52NhYxMXFYcGCBfWeP3HiBOLi4rQWWbq0o26/qdvevn37ws7ODgEBAQgICEBcXFyD\nPoTshyFDhuCZZ57B/fv3MXfuXISFhWltx8vLC506dcK9e/cwePBgXLt2Da1atVLbtqb3vUWLFigr\nK2uwvabYb+bYD5ra0XY8azquNO0HTWbOnIkNGzYgMjKy3ocNocePIfJ8Gmy58wyrq6vV3iBEKJGd\nGCJ7e9XjNi4uTW6T1Ku7frM1f8tK1kHTtcbJujVaaJ86dQpubm5QKpW4fv06+vevPZPb3d1dVbDa\nP/iHkpubCz8/P9ja2gIAnnjiCWRnZ0MsFqOgoEB1VnRZWZlqGsrTTz+N//73v/jzzz9VJwKUlJRo\nXB4AevfurVNxCdTesrVujnnnzp2Rl5entdDWJDY2FocPH0ZJSQn69++Pbt26CW4DUL/f1G1vdUoC\n2AAAEXpJREFUYWGhans1EbIffvvtN5w+fRoSiUR1+SZt7dRldHV1RVFREWpqajS2re59z8nJQYsW\nLdRurz4Mtd+MuR80taPteDbUcVVHyB9xddtriDxt5vFMe+8F/wdJp45IS0sDAHR4MPe47vHTRnpc\n95yx2m+O+W1tbSGRSNTe0IWoOfnzzz9x48YNtGvXDoD645+sT6OF9g8//ICYmBgolUps2LAB4eHh\nGpf38vLC1atXUV1dDZFIhCtXriAsLAyurq5o164dZs2aBScnp3rrDBo0CKtWrYJIJFKNdkqlUo3L\nC1VQUIDS0lI4OTkhKysLUVFRAP53zc3KysoGBVd1dTUUCkW9IsTT0xMvvPACqqqqEB8fr9OllNS1\no44ht1eTbdu24f3330deXh5++ukng7bt7e2t9n3XlzH3mzH3gybacmo7rnTdD4ZkiDwus6ONHbPZ\nuyupwdUbp+DhU/sh/+KNUwBg0Mctpa0b/IN+XB/n5+dDLueUJWreHBwcMGjQINVjFtiPB62Ftru7\nO6qrq/Hkk09CoVBAoVDATcs1ZqVSKUJCQrBw4UIolUoEBgbCw8MDADBu3DisWLECIpEIHh4emDZt\nGgCoRiLqPuEBUBXd6pave11Xzs7O2L59O27duoUhQ4bA5cFXuF26dMGOHTsgkUgatNerVy8sW7YM\nXl5emDx5MoDaAu369esoLy/H8OHDdepbXTvqNLa92tbTVdeuXREfH4+OHTs2mB+mSzvalnF1ddX4\nvuvDmPvNmPtB0zLacmo7rnTdD0LzaVvWEHliZFN0zkD6ix/zCbzd65+T8Dhe3g9AsxnNtuT9b8nZ\nAcvPT9bL6q+j/TheFo7IXGQyGVYc0e1DATVN/JhP8KRPv3rPWXqxwfzmY8nZAcvPz+toWy/eGZKI\nDCoulHO0AcDGwQ42Egejtd9S2vAOnJZcaADMb06WnB2w/Pxkvay+0OZoNpFpZYfMNXeEZqH/1+vg\n+ZS/uWMQEZEZWX2hTUSm1fvzD0zWl63YBmKxrcHaKy4u1noeihCSdt4GaUcIS//6nPnNx5KzA5af\nn6wXC20iMqhdskKT9RUV3R/enQ13ItxvaWnozFFoIiIyEKs/GZKITEcmk+H7vbkm6y8quj98DFho\nExGZA0+GtF4c0SYigwofb7oR4ft2YqTLS0zWXx0vF3u0kRrvREciIrIOLLSJyKCm/3jb3BGMbmVY\nl2ZZaFv6PFXmNx9Lzg5Yfn6yXiy0icigVoZ1MXcEvel6MqSXi70J0hARkaXjHG0iMhiZTAZ/f55M\nSEQkBOdoWy8bcwcgIiIiIrJGLLSJiB5IS0szd4QmYX7zsuT8lpwdsPz8ZL1YaBMRERERGQHnaBOR\nwXCONhGRcJyjbb04ok1EREREZAQstImIHrD0eZ7Mb16WnN+SswOWn5+sFwttIiIiIiIj4BxtIjIY\nztEmIhKOc7StF0e0iYiIiIiMgIU2EdEDlj7Pk/nNy5LzW3J2wPLzk/VioU1EREREZASco01EBsM5\n2kREwnGOtvXiiDYRERERkRGw0CYiesDS53kyv3lZcn5Lzg5Yfn6yXiy0iYiIiIiMgHO0ichgOEeb\niEg4ztG2XhzRJiIiIiIyAhbaREQPWPo8T+Y3L0vOb8nZAcvPT9aLhTYRERERkRFwjjYRGQznaBMR\nCcc52tZLbO4ARGRdbmTmmzsCEZHRSd0kcPd0NncMauZYaBORQX255aS5IxARGV1UdH8W2tQoztEm\nIiIiIjICjmgTkUGFj+ccbSKyTna2NrAXiwDUTh0hagwLbSIyqOk/3jZ3BCIio1gZ1gVd2rqaOwZZ\nEBbaRGRQKwJamzuC3qqrayAW25o7ht6Y37wsOb/Zs9vZQ2Rnr/fqxcXFcHNzM2Ag9bxc9M9IjycW\n2kRkUF0W/sPcEYjIwkjmvg9xj7/qvX5aZjr+2v1pAyYiMgyeDElEREQW7emnWWRT88QRbRP6/vvv\ncfz4cRQVFUGhUKBFixYYPHgwQkJCMGfOHCQmJpo7okkdOXIEwcHBRmk7Li4Oy5Yta3I7GzZswMWL\nFzFp0iSNN2LRpS9D5TFX+0L6uj/zXybJQUTWwd7WFiJPL3PHIDIKFtomFBgYiMDAQKSmpqKyshLD\nhw9XvSYSicyYzDxkMpnRCm1Deeutt/DVV1+ZO4ZFeeqnX80dgYgsyLbnIzDAu02T2khLS+OoNjVL\nLLTN5NE731dXV2PHjh24fPkynnzySYwbNw4AcPbsWezduxcikQjh4eEYOHCg1naPHj2KkydPIjc3\nF4GBgQgLCwMApKam4sqVK8jOzoZSqUR8fDyOHz+Oc+fO4dq1axg+fDi+/fZbzJ07F61atdLY/sPt\nKBQKzJ8/H7a2thpzHjp0CMePH4eNjQ0CAgIQGBgIAFi3bh3kcjkWLVqEJ598Ei+//LLW5TXRtLym\n/ZmamoojR45AqVTimWeeURX6D4/S6jI6nJSUhF9++QXt27dHRUWF1mUBoKKiAh9//DFu3ryJPn36\nICoqCoDw91fo9upyPOjyPgrZ3k+DLfc2wtXV1RCLLffPIvOblyXnN2d2r/vVqLh4pUltPGHjoLUN\n25YesPPW/L+NyFgs8y+CFSotLUVkZCSkUilmzZqFcePGQaFQ4PPPP8fixYthZ2eHhIQE9O3bF3Z2\ndhrbGTJkCJ555hncv38fc+fOVRVWAFBUVIT4+HjY2Pxvar6Xlxc6deqEe/fuYfDgwbh27ZrWQltd\nO+py9uvXD2KxGCdOnEBcXBycnevfPSs2NhZxcXFYsGBBvec1La+JpuXV7c+7d+/i8OHDSEhIgEgk\nQkJCAvz9/dGiRQud+qpTWFiIU6dO4V//+hcqKysxc+bMRtepqqrChAkT4ODggPnz5yMkJARubm6C\n318h2wsIOx40vY8lJSWCtrfNvFWN7g8ioof9aYA2tA0BeC/4P/z8+2UA/5vPnZaW1qwek3Viod1M\nuLu7w93dHQBgb197+aCSkhIUFBRg+fLlAICysjIUFhbCy0vzXLbffvsNp0+fhkQiQWVlZb3Xevfu\nXa/IrusXAFxdXVFUVISamppGsz7ajrqcBQUF8PLyQmxsLA4fPoySkhL0798f3bp109q2oZZXtz9z\nc3Ph5+cHW9vaS1g98cQTyMnJEVxo5+fnw8/PDzY2NnB0dIRUKm10HalUComk9uYGnTp1Qn5+Pmxs\nbAS/v0K2FxB2PKh7H/Pz81FSUiJ4e4mImptHC9rm9pisEwvtZkwqlaJdu3aYNWsWnJycdFpn27Zt\neP/995GXl4effvrJyAlracvp6emJF154AVVVVYiPj1cVcUDtV5UKhaJesadteXWELO/l5YWrV6+i\nuroaIpEIV65cUY3wKhQKAEBlZWWDglRdO1lZWVAoFCgtLUVhYaHW5QGgoKAApaWlcHR0RGZmJqKi\nouDs7Cz4/RW6f4QcD5reR0dHR0Hb6zI7WqdtaY6qa6ohtrXcP4vMb16Wlt9ObA97sQMA012H2lga\ny2/b0sOEaYj+x3L+IlgZXU5+FIlEGDduHFasWAGRSAQPDw9MmzZN6zpdu3ZFfHw8OnbsCFfX+nev\n0rVPoctoy7lt2zZcv34d5eXl9U7+BIBevXph2bJl8PLywuTJkxtdXh0hy0ulUoSEhGDhwoVQKpUI\nDAyEh0ftH98uXbpgx44dkEgkavfBrl27cPv2bUREREAqlaJfv35477330KFDB52muTg7O2P79u24\nefMmhg4dChcXFwAQ/P4K3T9CjgdN76PQ7Y2RTWk0FxGZX/yYT/CkTy8AwKm0NDz95F/MnEh/lp6f\nrJdI+ehZeUREepLJZLC1u2vuGESkA3c7d7jkKwzSlqSdN5w7tjNIW4+jM2fOICjIck8kJ804ok1E\nBpUdMtfcEYhIB9kGbKv/1+tYaBOpwTtDEhERkUWru4IHUXPDEW0iMqjen39g7gh6s+TrIAPMb26W\nnL+p2Wuk7riRmS9oHambBO6eul3KlchSWeZfBCJqtnbJGr8KCxFZG+G/91HR/Q1WaPNSedRcsdAm\nIoMKH+9v7ghEZGZ2tjawF2u/ipXUTWKiNETmw0KbiAxq+o+3zR2BiMxsZVgXdGnr2viCBpKWlsZR\nbWqWeDIkEREREZERcESbiAxqZVgXc0cgIjPzcrE3aX8czabmioU2ERnUX034dTEREVFzxqkjREQP\nWPq1eJnfvCw5vyVnByw/P1kvFtpEREREREYgUiqVSnOHICLrIJPJ4O/Py/sREQlx5swZBAUFmTsG\nGQFHtImIiIiIjICFNhHRA5Y+z5P5zcuS81tydsDy85P1YqFNRERERGQEnKNNRAbDOdpERMJxjrb1\n4og2EREREZERsNAmInrA0ud5Mr95WXJ+S84OWH5+sl6cOkJEBnP69GkUFRWZOwYRkUVxd3dH3759\nzR2DjICFNhERERGREXDqCBERERGREbDQJiIiIiIyAhbaRERERERGwEKbiIiIiMgIxOYOQESW5dy5\nc9i7dy8AICoqCj179jTIsqYiJNNvv/2GHTt2oEePHhg/frypImolJP+mTZuQnZ0NhUKBt956C97e\n3qaKqZGQ/Hv27MHly5dhY2ODKVOmmD2/0OP5/v37mD59OiIjIzFixAhTRNRKSP7169dDLpfD3t4e\nw4YNQ0BAgIlSaiYkf35+PtatW4eamhr4+fnhn//8p6liaqRr/vLycqxcuVL1ODMzE9u3bzdJRjIC\nJRGRjmpqapTz5s1TVlZWKisrK5Xz589XKhSKJi9rKkIzpaenK3/++Wfljh07TJhSM3336fnz55Wb\nNm0yQULt9M3/22+/KT/55BMTJNRMn+zJycnKlStXKr/99lsTpdRMaP7169cr79y5Y8KE2gnN/8EH\nHygvXbpkwoTa6XvsX7t2Tfnxxx+bICEZC6eOEJHOcnJy0KZNG9jb28Pe3h7e3t7Iyclp8rKmIjRT\n79694eLiYsKE2um7TyUSCcRi83+BqW/+33//He3atTNBQs2EZq+srMS5c+fQr18/KJvBVXT12ffN\nIXcdIfkVCgX+/PNPdO3a1cQpNdP32E9JSUFoaKgJEpKxmP8vLxFZjNLSUjg5OWHbtm0AACcnJ5SU\nlKBNmzZNWtZUmmMmIfTNf/ToUYSFhZkgoXb65F+wYAHu3r2LhIQEE6VUT2j2lJQUjBgxotncwElo\nfolEgrVr18LZ2RmvvfYaWrdubcK0DQnJf/fuXVRVVWHFihW4d+8eQkNDMWDAABMnrk+fY7+kpAT5\n+fnw9fU1UUoyBo5oE5HOXFxcUF5ejnHjxmHs2LEoKyuDVCpt8rKm0hwzCaFP/lOnTqFt27ZmHxEG\n9Mu/aNEixMTEYN26dSZKqZ6Q7OXl5bh06RL69Olj4pSaCd33EydOxOLFizFmzBj8+9//NmFS9YT+\n7XFycsLMmTPx3nvvISkpCVVVVSZO3DCT0GP/yJEjCAoKMlFCMhYW2kSks9atWyM7O1v1OCcnR+NI\nl5BlTUWfTM3p63Oh+TMzM5GRkYHw8HBTxGuUvseEu7s7FAqFMaM1Skj2S5cu4f79+1izZg0OHz6M\n1NRU3Lp1y1RR1dJ339vZ2cHW1taY0XQiJL9YLIanpyeKioogFoubxbQpofu/pqYGZ86cMftIPDUd\nb8FORIKkp6erzpwfNWoUevfuDQD473//CwcHB/j7+ze6rDkJyb9//36cPXsWRUVF6NGjB6ZMmWKW\nzA8Tkj82Nhaenp6wsbFBhw4dMHHiRLNkfpiQ/B988AFKSkogFosxYcIEs0/xEZK9TmpqKiorKzF8\n+HCTZlVHSP41a9agsLAQjo6OmDRpElq1amWWzA8Tkj8vLw+bN29GeXk5Bg0a1CymTgnJf+LECeTk\n5OCFF14wS1YyHBbaRERERERGwKkjRERERERGwEKbiIiIiMgIWGgTERERERkBC20iIiIiIiNgoU1E\nREREZAQstImIiIiIjICFNhERERGREbDQJiIiIiIygv8HNCpYrfnezdwAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1083b0c10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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FAGD79u04deoUiouL8fjxY/To0QNRUVEAgMzMTKxcuRIFBQXIy8vDkiVLMHjw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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10cb58c90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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P//rrr2p116hRo8zxlKRr167yDXlFXvxy4+fnx4IFC+T3ZW2zRo0apKYWTjH9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\nXb4AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1075abb50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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yODs74/Lly/ywHkIIaY7y8/MRHh6Or7/+Gq6urgCAq1evws3NDYWFhQ16ZvNt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\nIWQfA0lWAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108002bd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Nm4fVq1fD0dERgYGBSiUeTk5OmDp1Krp3747AwEBcvny51uvOOI5DcHAwli1b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\nkqPJ2bNnUVhY2KyAtbWf+vp6PPvss9i6dSsGDhwIALh582a7czZ5662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oQkNDkZycbLLe\nz88PwcHBuHXrFsaOHYvLly/Dx8enxTxyuRwnTpxAcnIy3Nzafp3HexHh1pyyDqfT6SCXO//XLXPa\nly05BYUcgrJj51M689zSOzXlDFCrxY5CREQicv4rACJqlZeXF7y8vAAAyrsufIcOHWosXgGgsrIS\nZWVlyMzMBABUV1ejrKwMrq6uzdbfuHEDfn5+ds0JAO7u7igvL0dDQwOqqqpazOPn54ekpCQcPnwY\nlZWVGDVqFB588EGzbQcsf81uOYnEpHpxLi7q64wjeAUFBQDg0OUuAEYPHNBh/dm83CMQBQUFuAKg\npzPkaWW5ibPkuXu5a9euICKSKsFw9/2IROS08vLyUFtbi5iYGOO65ORk4626d/7d0r4GgwErV67E\nsmXLTC5gzK1vy5IlS5CZmWlSJLeUqykL0Dg/try8HN27d8eYMWOwYsWKVvu9ffs2UlNTjUXu3TQa\nDYL4NUbtpJAroZSL/x5Pma83FP7dxI5Bndzp06cRHu7cd64QEZnDEVgiibHmoU137ysIAmbOnIm1\na9dCEAR4e3tj4cKFZte3ZciQIUhPT4efnx/mz59v03GY63fbtm24cuUKampqTB5a1ZJEzQKr+ia6\nW+r0tzCo1xC7timVuZDMaV9SyUlEJFUcgSUiSdNoNJApboodo1Wdec6mGByR00vhBfVveru2KbW5\npc5O6jlVPfzh9kAPERI1xxFYIpIy579SISJqQ3FkitgRSOKKxQ5And6ofVlOU8ASEUkZC1gikryh\nH/xZ7AhERCZkchfI5TLjsqqHv4hpiIg6DxawRCR5OzU3xI5ARGRi2rxR8O/tI3YMIqJOhwUsEUle\n3KwQsSO0Stegg1zm/F+3zGlfzGlfd+ZUyFyglFv+QLuO1DQH1sNTJXYUIqJOyfn/xyIiasOi49fE\njkBEHWhdbF/0DXQXO4YZHHUlInKk5i9vJCIiIiIiInJCHIElIslbF9tX7AitkvrrP5wNc9qXFHP6\nqZUipzGP74ElInIsFrBEJHnDnPZWwkYFlwoxbIDzX9Ayp30xp31JJScRETmWYDAYDGKHICKylUaj\nQUiIcz/EiYjImZw+fRrh4eFixyAisgnnwBIREREREZEksIAlInKwgoICsSNYhDntizntizmJiAhg\nAUtEREREREQSwTmwRCRpnANLRGQdzoElIinjCCwRERERERFJAgtYIiIHk8qcOOa0L+a0L+YkIiKA\ntxATkcSdOnUK5eXlYscgIpIMLy8vjBgxQuwYREQ2YQFLREREREREksBbiImIiIiIiEgSWMASERER\nERGRJLCAJSIiIiIiIklgAUtERERERESSIBc7ABHR3c6ePYu9e/cCAKZNm4bBgwdbva81bYiZc9Om\nTdBqtVAqlZg4cSJCQ0NFzfndd99h+/btGDhwIGbNmmVTG2LmdLbz+fbbb6O4uBh6vR5//OMf4e/v\nb3UbYuZ09Pm0JuOuXbtw/vx5uLi4YMGCBR16Lu2V1ZnOJwDU19dj0aJFiI+PR0xMjE1tEBF1OAMR\nkRNpaGgwLF++3FBXV2eoq6szrFixwqDX6y3e19o2xMxpMBgMmzZtMly/ft2u2WzNaTAYDIWFhYZ/\n/OMfhu3bt9vchlg5DQbnO59Nzp07Z3j77bfb1UZH5zQYHHs+bc343XffGd566612tSFGVoPB+c5n\ndna2Yd26dYbc3Fyb2yAi6mi8hZiInEpJSQkCAgKgVCqhVCrh7++PkpISi/ctLi62qg0xczYxOPBt\nZtaei6FDh0KtVrerDbFyNnGm89lEpVJBLpe3q42OztnEUefT1owXL15Ejx492tWGGFmbOMv5rKur\nw9mzZzFy5Eib2yAiEgNvISYip1JVVYWuXbti27ZtAICuXbuisrISAQEBFu/b9LclbYiZMyAgACqV\nChs3boSbmxuefvppdO/e3W4Zrc3pyDY6qg9nPZ9ffPEFYmNj29VGR+cEHHs+bcm4cuVK3Lx5E2lp\naTa3IVZWwLnOZ25uLmJiYlBeXm5zG0REYuAILBE5FbVajZqaGsycORMzZsxAdXU1PDw8rNrXmjbE\nzAkAc+fOxZo1azB9+nS8//77ds1obU5HttFRfTjj+fz6668RGBhoHIlz1vN5d07AsefTloyrV69G\nYmIisrKybG5DrKyA85zPmpoafP/99xg+fLjNbRARiYUjsETkVLp3725ye21JSYnZUQpz++r1eovb\nEDPnnRQKBWQymV0zWpuzyd23ONrShhg57+Qs5/PSpUsoKirC7NmzbW5DrJx3csT5tPU8eHl5oaGh\noV1tdGRWvV7fbL3Y5/P7779HfX09NmzYgOvXr6OhoQGDBw9GYGBgh5xPIqL2EAyOnCxERGSDwsJC\n41MwH3/8cQwdOhQA8Pe//x2urq4ICQlpc19z650t54YNG3Djxg106dIFzzzzDLp16yZqzv379+PM\nmTMoLy/HwIEDsWDBglbbcLacznY+k5KS4OPjAxcXF/Ts2RNz585ttQ1ny+no82lNxj//+c+orKyE\nXC7HnDlzjLe1dsS5tFdWZzqfTfLy8lBXV4fo6OhW2yAichYsYImIiIiIiEgSOAeWiIiIiIiIJIEF\nLBEREREREUkCC1giIiIiIiKSBBawREREREREJAksYImIiIiIiEgSWMASERERERGRJLCAJSIiIiIi\nIklgAUtERERERESS8P8BuFNy7BCfZuIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10838b2d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ko0p2djb3sRNF9ZFPe1Ibv9A5Ojri7NmzCAwMhLGxMaZNm4ZDhw7JjNhTl09A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\njRs3Sl055+HhYXrMrxuElbV+/Xr16dPH9H1YWJg2bdpU5Tl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       "text": [
        "<matplotlib.figure.Figure at 0x1092e3b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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xcdG4AaO8OHX5wrt2alrWhMLcDIWFhd7bN7e2rsNohMfJ1k5JWFTXOm2/Ktau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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1075abf90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Se80Febs8fPgQH330Ef7991+FHtgiDZ3BmjHKbxVXs83+85//YMiQITKfrPL4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\nAAAAAGAARRQAAAAAGPD/AGy8rjjKdA1xAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10826dc90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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v3z4YGhpK1S1vPUUiEXbs2AFNTU1cv34dU6dOpSSckCZCSTghhBCF8Xg8TJky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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10b7aa1d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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s27cP+vr6QnWLW08+n4+dO3dCQ0MDt27dwvjx4yl5JuQ9UfJMCCGEwzAMxo0b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\ni2ciIiIiIoH+D+xbYDK3vgPNAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10825a310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VGDFiBPLz8+Hv7w8NDQ388MMPsLKyarCf6enpWLlyJYqLi5GXl4dFixZh6NCh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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10807aa10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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T9evXk5aWBsBXX32lNeG6sISjQoUKxYonPx07dlQnfmd7PEns1q0bc+bMUV8X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\niMywQCIiIiIywwKJiIiIyMz/AZOmSu6tCUrOAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108368e90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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dkZGBw4cPC11VsbCwwPbt26Guro5bt25h2rRpGD16dKv7oUwo+SuxIb9d6+oQ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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10807aa10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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NkjAMAy6Xi+DgYBw9epRd7u7ujr1796K8vBwAsG3bNpHB85KSGQ0NjWbF0xg3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\nfQAAABJJREFUiIiISEQsvoiIiIhE9H/MD7vdBm/CbAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10806e690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6Sq8n+fjjj9Xm1fVrgMaNG4dhw4ahR48esLe3x4oVK3D48GHY2NioxVERFAqF\nNNr9/PnzVcrWrFmDcePGwdnZGatXr8b48eNVjltytsWGDRtw+vRp1K9fH0OHDsWgQYNKXKak+uTs\n540bN5b2saLv0YEDB6qM1lwRKmp/dHNzQ4sWLeDv71/qbZ0l1S+3nxQpGnX4+TcNNGvWDBMnTkSL\nFi3QtGlTpKWloX///sXuf9HR0Rg7dixcXV0xdOjQEi8YFBdr3759MX/+fPTv3x/29vZ4//338fXX\nX6NFixalLqvtdtVmm5Rn/5k0aRLu3r0LOzs7BAYGYvTo0TAyMtI6iSqKQ1MsCoVCGsV806ZNWtXT\noEEDXLp0CR4eHtK5Xfv27Uu9k6ikuiIjI5GSkgI7Ozu0a9dO6xHkNR1Pirz//vuIj4+HUqmEt7e3\nysjuwLNkfPr06QgICIC7uzveeecdlR+Hdu/ejfz8fLzyyitwcnKCl5cXEhMTS12/5z8bGhpqPI8t\nad/RdHwsbrv26tULrVu3hqurKzw9PYv9Eb40lXV+omk9iqaXtpycfOfLL79EYGAgevXqBaVSicaN\nG6vkb0U09ZPSYq2oc3vg2V0Sly9flvUDpULo+uf8KrBjxw7s3LkTO3bsqOpQqIKFh4fDwcGhxNvh\niUh3Tpw4gSVLluDLL7+Uxt5YtWoVPv/8c1y4cKGKoyNSJYRASEgIhg0bhtdffx0A8OjRI3h5eWHR\nokUICQmp4giJqsbWrVtx9OhRrFy5EqamphBCYNq0aUhOTsb+/furOjyifxX9GlGinAoLC5GZmYn5\n8+erDDJFL4+X8Lcjomrj4MGDcHBwkJ7zvXz5Mr7++usy3T1EpGtZWVlISEiQrrQ+efIEO3bswP37\n9/Hqq69WcXREVWfXrl1o1KgRatSoAeDZLddxcXE8lhNVAVmjqVcXr776KjIyMjBjxgy0bt26qsMh\nHdD1raBEVLKpU6ciKipKGlTN2toa4eHhiIqKqurQiNTUqVMHq1atQt++ffHw4UMoFAp06dIF3377\nrU4HASLSdzExMRg7dqz0+KSDgwOmTJlSpnEKiKh8Xsrb1ImIiIiIiIj02Ut1mzoRERERERFRdfBS\n3aZORKQL33//fYWPvkxE9LKzsLDg8/lERKVgMk5EpEF2djbHoSAi0tLZs2erOgQiIr3G29SJiKop\nbd/nWhkYkzyMST59jIsxERFRRWAyTkRERERERFTJOJo6EZEGCQkJvE2diEhLZ8+eRc+ePas6DCIi\nvcUr40QSor5VAAAgAElEQVRERERERESVjAO4ERFVU0lJSejSpUtVh6GCMckjJ6ZHjx4hMzMTCoWi\nUmLKzMxE3bp1K6UtbehjXIzp/xgaGqJBgwaV1k+JiF4mTMaJiIj0zL179wAAdnZ2lZbk2NnZVUo7\n2tLHuBjT/3n8+DEyMjLQsGHDKmmfiKg6423qRETVlL5d7QUYk1yaYsrLy4OVlRWvNpLeq1WrFgoK\nCqo6DCKiaonJOBEREREREVEl423qRETVVHV9FrqyvSwx3XyYh4xHT3QUEdDA3AS2dWrorH4iIiJS\nxWSciIioGsh49AST4y7rrP5FAe6yk/GYmBhs374dtra2AABPT08sXry4QuKIi4uDm5sbGjduLHuZ\nqKgoZGdnY+PGjQCAKVOmoFWrVggLCyt3PBcvXsTNmzfh6+urMj0mJgbm5uYYO3as1nX++uuvmDlz\nJnJzc2FoaIiePXtiypQp5Y4VAD7//HMMHz4cNWvWrJD6vv32W8TExCA5ORl79uxBy5YtK6ReIiJi\nMk5EVG3p29VegDHJpY8xaUOhUCAiIgJRUVEVXvfBgwfh7++vVTIOAIcPH8Zff/0FDw+PCn3W/vz5\n8zh37pxaMl7WNp4+fYoxY8YgNjYWTZs2BQA8fPiw3HEWWbNmDQYOHFhhyfhrr72G1157DcHBwRzD\ngIiogjEZJyIiIq0JIYqdnpWVhWnTpuHmzZtIS0tDcHAwZs6cKZWvXLkSu3fvhqGhIczMzLBr1y6p\nbNy4cUhISMDPP/+M1atX491330Xv3r1lxfPGG29gyZIlWLlypVrZqlWrsGvXLhgYGOCVV17B/Pnz\nYWpqCgDYsmULTp06hcePH+PGjRto164doqOjAQDr16/H2rVrkZ2djQsXLqBbt26YOnWqVG96ejpG\njRqFK1euwM3NDevWrdMYZ0JCAlq3bi0l4gBQp04d6f93797FpEmT8M8//0AIgejoaOlqdExMDDIz\nM3H37l21NnNzc9GvXz9kZGQgNDQURkZGWLt2LRwcHDSuZ3JyMhYsWIDMzEzcunULs2fPRp8+fWRt\ndyIiKjsm40RE1dTL8iy0rjGmiieEQGxsLA4fPgwA6Nq1KyZPngwAqF27NqKjo2FpaYmcnBy0adMG\nERERsLGxQWZmJpYuXYrk5GQYGamfgixbtgxRUVHo1asXgoKCtIrJ19cXS5cuRVpamsr048eP48CB\nAzh06BCMjY0xffp0LF68GDNmzJDmOXHiBHbt2qV2NT4iIgJmZmY4d+4cYmJi1LbBpUuXsHnzZpib\nm6N169a4du0anJ2dS43z6tWrpc4zdepUDBkyBL6+vrh+/ToGDRqEkydPSuXJycnFtmlqaopDhw6h\nZcuW2L59OywtLdXqLmk9HR0dsWHDBpiYmODChQsYOXIkk3EiokrAZJyIiIi0olAoMGLEiBJvUzc0\nNER8fDxSU1NhYmKCjIwM2NjYoG7duvDx8cGAAQPQu3dvhISEwMrKSm35kq66a/LOO+9g2bJlKrdT\nJyQkICwsDMbGxgCeJdijR4+WknGFQoGgoKASb4sXQhQbj0KhgJ+fH2rXrg0AUCqVyMzMLFPcz0tM\nTERGRgaWL18OAHjy5AkePHgACwuLcrVZ2nqam5sjLS0NP//8M65fv45bt26Vez2IiEgzvtqMiKia\n0scrq4xJHn2MSVslJcyXLl1CYGAg0tPT0bx5c1hZWanMu2rVKqxevRpGRkbw9fVFSkqKWh1leTZZ\noVCgX79+OHXqFO7cuSPVoVAoUFhYKM1XWFioVn9pyX9psZTlRwNXV1dcvlzyQHxGRkbYsmUL9u3b\nh3379uGHH36AhYVFudrUtOzmzZsRGRmJgoICdO7cucz1ExGRdpiMExERUYVJTEyEn58fwsPDUadO\nHaSmpqokgQUFBWjQoAHCw8Ph5uaGP//8U2V5U1NT3LlzBwBUkmhNhBAwMDBAREQEDh48KE338fHB\n1q1bkZeXBwBYt26dymBsmpLbGjVqlCmekvTo0UMaFK7I8z9I9O7dGwsWLJA+a9tmjRo1kJGRAUB1\n3Upbz0OHDmHixIkICQnB33//XeK85fkhgIiI1DEZJyKqppKSkqo6BDWMSR59jElbGzZsQEBAAAIC\nAvDuu+9K00NCQqSEfOXKlejYsaOUHBYWFqJfv34ICAhAz5490aRJE/j4+KjU279/f6xcuRLBwcGY\nPn267HiKrmCHhYWhXr160vRu3bqhb9++CAwMhK+vL/Lz8/Hee++pLFfa1W9vb29cuXIFvXr1wsCB\nA5GTk6PWpjaMjY2xfv16zJw5Ez4+PvDx8cGGDRuk8nnz5iEnJwc+Pj5q21ZOmyNGjMDgwYPRr18/\n/Pe//1VZrqRl3377bUybNg1BQUFITU2FhYUFsrOz1eYbP348Jk2apM3qEhFRKRSCP3MSEZWqaPRj\nfaOPg4AxJnk0xZSeng47OzuVaTcf5iHj0ROdxdTA3ET2e8aJnldcfwWAs2fPomfPnlUQERFR9cAB\n3IiIqil9SzABxiRXWWKyrVODyTIREdFLhLepExEREREREVUyJuNERNWUPj53zJjk0ceYiIiIqHIx\nGSciIiIiIiKqZEzGiYiqqZflWWhdY0xERESkj5iMExEREREREVUyJuNERNWUPj53zJjk0ceYiIiI\nqHLx1WZERDKk/n2vqkNQU9fMrkLiqlPXFBZWZhUQEenSg3vZeJiZq7P62Q+IiIgqF5NxIiIZdqw/\nU9Uh6MyAiLYVloTp47PQL0tMDzNzddoPtekHMTEx2L59O2xtbQEAnp6eWLx4cYXEERcXBzc3NzRu\n3Fir5RYvXoy4uDiYmJjA1dUVK1asqJB4Ll68iJs3b8LX11dlekxMDMzNzTF27Fit6/z1118xc+ZM\n5ObmwtDQED179sSUKVMqJN7PP/8cw4cPR82aNSukvm+//RYxMTFITk7Gnj170LJlywqpl4iImIwT\nERGRlhQKBSIiIhAVFVXhdR88eBD+/v5aJeNJSUk4duwYjhw5AoVCUaHxnD9/HufOnVNLxsvaztOn\nTzFmzBjExsaiadOmAICHDx+WO84ia9aswcCBAyssGX/ttdfw2muvITg4uMK3LRHRvx2fGSciogqj\nj89CMybdEEIUOz0rKwtRUVEICQlBu3btEB0drVK+cuVK+Pj4wN/fHyEhISpl48aNQ0JCAubPn4+A\ngAAcOnRIdjy5ubl4/PhxsWWrVq2Cj48P/Pz8MHHiROTm/t/t/kqlUvp/UlISwsLCpM/r16/HkiVL\ncODAAQQEBGDhwoUq9aanp2PUqFHo0aMHRo0aJSvOhIQEtG7dWkrEAaBOnTrS/+/evYthw4YhKCgI\nffr0wa+//iqVxcTEYPr06cW2mZubi969eyMjIwOhoaEICAhAWlqaVL5lyxZERUUhPDwcfn5+mDlz\nplSWnJyMoUOHIjg4GO3atcOBAwdkrQsREZUPr4wTERGRVoQQiI2NxeHDhwEAXbt2xeTJkwEAtWvX\nRnR0NCwtLZGTk4M2bdogIiICNjY2yMzMxNKlS5GcnAwjI/VTkGXLliEqKgq9evVCUFCQ7Hi6dOmC\ngIAAeHt7IzQ0FJGRkTAze3bL/fHjx3HgwAEcOnQIxsbGmD59OhYvXowZM2YAKP0Kd0REBMzMzHDu\n3DnExMSobYNLly5h8+bNMDc3R+vWrXHt2jU4OzuXGuvVq1dLnWfq1KkYMmQIfH19cf36dQwaNAgn\nT56UypOTk4tt09TUFIcOHULLli2xfft2WFpaqtV94sQJ7Nq1S+2uA0dHR2zYsAEmJia4cOECRo4c\niT59+pS6HkREVH68Mk5ERBXmZXk+W9f0MSZtKBQKjBgxAvv27cO+ffukRLyIoaEh4uPjsXnzZpiY\nmCAjIwMAULduXfj4+GDAgAFYt24d7t0rfgDCkq66l2bixIk4duwY8vPz0bt3b+Tk5AAAjh07hrCw\nMBgbGwN4lmAnJCTIrlcIUWw8CoUCfn5+qF27NhQKBZRKJTIzM7WO+0WJiYlYtmwZgoODERUVhSdP\nnuDBgwflblOhUCAoKKjY2//Nzc2RkZGBvXv3IjExEbdu3Sr3ehARkWZMxomIiEhrJSXMly5dQmBg\nINLT09G8eXNYWVmpzLtq1SqsXr0aRkZG8PX1RUpKilodZX02uXbt2pg6dSocHBxw5sz/DXZXWFio\n8n9t6i9t3rL8aODq6orLly+XWG5kZIQtW7ZIP3T88MMPsLCwKFebmpbdvHkzIiMjUVBQgM6dO5e5\nfiIi0g5vUycikiFwaGud1m9saAATI+0SkMzMTNStW7fcbdepa1ruOookJSXp3VVfxlS5EhMT4efn\nh/DwcCQnJyM1NVUlCSwoKECDBg0QHh6OuLg4/Pnnn3BycpLKTU1NcefOHQDPEmcDA83XDfLz81FY\nWAgTExNkZWUhJSUFrq6uAAAfHx8sWLAAoaGhqFGjBtatW6cyGJuxsTGys7NhZmaGH3/8Ua3uGjVq\naB1PaXr06IHZs2fj3Llz8PLyAgCkpKRI26B3795YsGAB5s+fX6Y2a9SogYyMDFhaWkIIIf2YUFoS\nf+jQIUycOBE9evTA//73vxLnLc8PAUREpI7JOBGRDONP3dBp/YsC3OFuV1urZZKSfkPzVq46ioj0\nTZ26phgQ0Van9Wtjw4YNiIuLAwC4ublh+fLlAICQkBAMGTIEJ0+ehIeHBzp27Cjdpl5YWIh+/foh\nPz8feXl56Ny5M3x8fFTq7d+/P6KiorBnzx40adJEbdC04ly9ehWRkZGoUaMGAGDWrFlwcHAAAHTr\n1g3JyckIDAyEQqFA8+bN8d5770nLjh8/HoMHD4anpyfMzMzUroR7e3tj6dKl6NWrF2rXro1NmzZJ\nI5WX5Qq+sbEx1q9fjxkzZki30nfq1AkfffQRAGDevHmYNWsWfHx8YGJiAhcXF6xcuVJaXlObI0aM\nwODBg6FUKtGvXz+89dZb0nIlLfv2229j4sSJaNiwIXr06AELCwvpB4rnjR8/Hm3atMGnn36q9XoT\nEZE6heDPnEREpUpISMC0s7p9pc+iAHd4aZmM08srPT0ddnZ2VR0GkSwl9dezZ8+iZ8+eVRAREVH1\nwGfGiYiIiIiIiCoZk3EiompKH99VzZjk0ceYiIiIqHIxGSciIiIiIiKqZHxmnIhIg4SEBBjUsdVp\nG/WNBRpm3ynz8gqrBjBsqNsYqfLwmXGqTvjMOBFR2XA0dSIiGdw/fEvnbeSWY1nTGf8BmIwTERER\nVRu8TZ2IiCqMPj4LzZiIiIhIH/HKOBERUTWQfe0Gcm/c1ln9pvYNYeZsr7P6iYiISBWTcSIiqjBd\nunSp6hDUvCwx5d64jTNvjNVBNM+0/d8K2cm4lZUVPvroI0RFReGXX36Bj48P9u/fj06dOknzXL58\nGV9//TWmT59eYj3Lly/H48ePMXXqVLWyX375BXPmzMG+ffsAACtWrEBcXBwuXryI1NRULdeudP/9\n738xYcIEnD9/Xu3Z54sXL+LmzZvw9fVVmf7tt98iJiYGycnJ2LNnD1q2bFlh8ZTUZhE525aIiPQf\nb1MnIiIirdSsWRMnTpwAAGzbtg2urq5q87i7u2tMFhUKhew2x44di7i4OK3ilGv37t14/fXXsXfv\nXrWy8+fP4+jRo2rTX3vtNcTFxaFFixZarYccJbVZRM62JSIi/ccr40REMjx9/+OqDkFNfn4+jIye\nHcYf1TRD6o10nbVla24OZd06GudLSkrSuyvRjKniGRgYoHnz5jhz5gyuXr0Kd3d3FL2cJScnB2+8\n8QYePnwIpVKJrVu3qiw7bdo0nD59Gra2trC2toajo6NUtnXrVixbtgw2Njbw8vKSHU9BQQHmzp2L\nn376Cfn5+Rg5ciQGDhwoa9l79+7hzp07WLJkCUaNGoW3335bKlu/fj3Wrl2L7OxsXLhwAd26dSv2\nKn5xFixYgJ9++gl3796FjY0NvvzyS5iamgIAlEol5s2bhwMHDuDatWtYuXIl2rdvr7HN3NxchISE\nlLhtT506hYULFyI/Px8FBQVYtGgRWrRoISteIiKqfEzGiYhk6Hz6l6oOoUpt7BskKxmnf4/Q0FAM\nHToUY8aMwZEjR6TpNWvWRFxcHE6dOoUVK1aoLLN371789ttvOHHiBIQQGDx4MJycnAA8ez1WdHQ0\nEhMTYW1tjc8++0x2LJs2bYKBgQHi4uKQl5eHoKAgdOjQQaq7NPv370ffvn3h6OgIAwMDpKWlwcHB\nAQAQEREBMzMznDt3DjExMbLjAYBRo0ZJV6+HDBmCgwcP4o033gAA5OXloX79+ti5cye2bNmC2NhY\nKRkvrU1TU9MSt21qairGjx+PPXv2SPETEZF+423qRERUYfTxai9j0o1GjRphwoQJePPNNwGo33Je\ndKX8ed9//z0GDBgAAwMDGBoaokuXLtJ8Z8+eRbdu3WBtbQ0A6N69u+xYjh8/jhMnTiA4OBj9+/dH\nbm4u/vzzT1nL7tmzB/v374efnx9u376N3bt3q61HceuiiYWFBZKSkrBx40ZkZ2fj1q1bUpmpqSkC\nAwMBAI6OjsjMzNSqzeLKjhw5gr59+zIRJyKqRnhlnIiIiMokNDRUq/kNDQ1VEsnn/29kZFRimSZG\nRkaYNm0aevXqpVU8GRkZePjwIRITEwEAN2/exNChQ/Huu+9K85TlefDs7GwEBQWhd+/eaNeuHdzc\n3LRan7K0qVAokJ+fr/VyRERUdXhlnIiIKow+vj+bMVUOOclm165dsWfPHggh8OjRIyQkJEhlbdq0\nwXfffYcHDx5ACFHsYGolCQwMxLJly/Do0SPZsQDPblHv2bOn9NnW1haFhYVISUmRptWoUQN37twB\nABQWFhZbz4vtXb58GcbGxpg8eTJatmyJ8+fPa5WMy2nzRT4+Pti9ezeuXLkiux0iIqpaTMaJiIio\n3F68mqtQKNSm+fv7w8PDA97e3hg2bBjs7e2leaytrTFjxgwEBgYiKCio2DqBZwPEBQQEYOPGjdK0\nN954A4GBgQgODkZAQAACAwOlxLw0e/bsgb+/v8o0X19f7NmzR/rs7e2NK1euoFevXhg4cCAeP36s\nVs/48eMxadIk6XPz5s2hVCrRtWtXjBkzBl26dJGS6xcVt500tVncMo6Ojli1ahXGjRuH3r17IyAg\nAN99953GbUBERFVHIcryIBQRkR66ePEiTpw4gbFjn72Led26dWjVqhXatGlTrnoTEhLwxPzlGbxM\nYWwEhYmJVsvIHU2dKkZ6erra+66zr91A7o3bOmvT1L6h7PeMEz2vuP4KPBsH4Pk7D4iISBWfGSei\nl8Yrr7yC/fv3Iy0tDUZGRkhPT8eoUaMqpG7bmZ9WSD36oOGcCTB1ca7qMEhLZs72TJaJiIheIkzG\nieilEhYWhh07dsDY2BhhYWEAgF9//RU7d+6EQqFAYGAgOnToAACIj4/HyZMnYWBgAG9vb/To0aMq\nQ38p6OP7sxkTERER6SMm40T0UnF2doaJiQny8vLQqFEjFBYW4quvvsK8efNgbGyMjz76CG3atIGR\nkRG+//57TJ8+HWZmZlUddqXKzMzET88lg0WDib2sny9cuKBX8SQlJeHChQullltZWRV72y+RPsrM\nzJT664v9mYiISsZnxonopXPixAnk5uaiV69eyMzMxMSJE+Ho6AgAyMrKwpQpU9CgQQPcu3cPJ0+e\nRFZWFtq2bQtPT89i60tISIBVzLrKXAWdajhnAkybNarqMKgUJT2DS6SP+Mw4EVHZ8Mo4Eb3U6tSp\nA3t7e0yePBm1atVSKbOyssLrr7+OJ0+eYNasWVi4cGEVRUlERERE/zZMxonopVT02h+FQoFBgwbh\nk08+gUKhgKWlJcaNGwcA2LhxI1JSUvD48WO11xu9zLJzs3Al9SetlrGuY4OGFg4a59PHZ6EZExER\nEekjJuNE9NLx9vZW+ezp6YkPP/xQbb7hw4fLrvNe+GvlC0qP/HbvZ2xMWKPVMrNC18hKxomIiIhI\nHibjREQyfHLhP1UdQrWgj1d7X5aYbj9Iw92Ht3QQzTNy734gIiKiisFknIiIqBq4+/AW5m0bo7P6\n5d79YGVlhY8++ghRUVH45Zdf4OPjg/3796NTp046iw0ALl68iJs3b8LX11frZQsKCjB+/HgsWbIE\nRkY89SEiIv1gUNUBEBHRy6PotUb6hDFVrJo1a+LEiRMAgG3btsHV1bVS2j1//jyOHj1apmUNDQ2x\nYsUKJuJERKRXmIwTERGRbAYGBmjevDnOnDmDq1evwt3dHUVvSX38+DHGjx8Pf39/+Pj4YO3atdJy\nSUlJCAsLkz7HxMRgxYoV0melUomNGzfizTffRJs2bfDDDz9IZevXr8eSJUtw4MABBAQEqLz5ICsr\nC1FRUQgJCUG7du0QHR2tEu/48eMREBAgvd7weaW1SUREpGv8iZiIiCrMy/J8tq7pY0zaCA0NxdCh\nQzFmzBgcOXJEenvB4sWLYWFhgfj4eOTm5iI4OBienp547TX1ARCLlimSl5eH+vXrY+fOndiyZQti\nY2PRvn17AEBERATMzMxw7tw5xMTEqCxXu3ZtREdHw9LSEjk5OWjTpg0iIiJgY2MDAFi6dCkAFJuM\nl9YmERGRrjEZJyKSYXrvT6s6hFIZ1DCGgWkNndVvXcdGZ3VT9dOoUSNMmDABAQEBOHLkiDT92LFj\n2LBhAwDA1NQUgwcPxtGjR4tNxl9kamqKwMBAAM8S58zMTJVyIYR0Bf5FhoaGiI+PR2pqKkxMTJCR\nkSEl4+Vpk4iISJeYjBMRyXDTd0ZVh1Cqtv9bAavOras6DL18fzZj0o3Q0NBipxcWFkr/F0LAwKBi\nnoh78Up6kUuXLiEyMhIjRoxA8+bNYWVlVWLSTkREpE/4zDgRERFViJ49eyI2NhbAs+fHN2/eDB8f\nHwCAhYUF7ty5AwB4+vQpfvnlF63qrlGjhrT88wl/YmIi/Pz8EB4ejjp16iA1NZXJOBERVQu8Mk5E\nRBVGH6/2viwxWdexwazQNTqI5v/qL6+JEydi+vTp8PPzQ0FBAUJDQ6V1feWVV2BnZ4eIiAhYW1uj\nbt26JV7tVigUamXe3t5YunQpevXqhdq1a+PLL79ErVq1EBISgiFDhuDkyZPw8PBAx44dkZGRoXXs\nxbVJRESkSwrBn4+JiEqVkJCAjICxVR1GqfTlNnWqGOnp6bCzs6vqMIhkKam/nj17Fj179qyCiIiI\nqgfepk5ERBVGH9+fzZiIiIhIH/E2dSIiGVp89VmVtm9oZAAjI0OVaZmZmahbty4AwNS+YVWERURE\nRERlxGSciEiGLQn3q7T9ARFt0dDVSmWaVQnzVqWX5flsXdPHmIiIiKhy8TZ1IiIiIiIiokrGZJyI\nqJrSx+eOGZM8+hgTERERVS4m40RERERERESVjM+MExFVU/r43DFjkqcsMT29fQcFd3U3doGhtSWM\nG9bXWf1ERESkisk4EZEMgUOr9h3eT42NcC49S6dtNDA3gW2dGjptg8qu4O593J6ru1H9G86ZIDsZ\n9/LywrvvvouIiAgAQKdOnbBjxw44ODjoLL6YmBhs374dtra2AABPT08sXry43PWOGTMGly5dglKp\nxNatW8tdX3GWL1+Ox48fY+rUqTqpn4iIqicm40REMow/daOqQ9C5RQHu5U7Gk5KS9O5KNGPSjTVr\n1mDEiBEwMDCAQqHQeXsKhQIRERGIioqq0HrXrFmDU6dOYcWKFRVa7/MqY/sQEVH1w2SciIiItKJQ\nKNCxY0ds374dYWFhKmUFBQWYO3cufvrpJ+Tn52PkyJEYOHAgAKBPnz5YuXIlnJycpPm7deuGrVu3\nws7OTmO7Qohip8fExCAzMxN3797FlStX4ObmhnXr1knls2fPxunTpwEANWvWRMeOHTFjxgyN9SYn\nJ2PBggXIzMzErVu3MHv2bPTp00dWm9OmTcPp06dha2sLa2trODo6alw/IiL6d2EyTkREFUYfr/Yy\nJt2IjIzE22+/jdDQUJXpmzZtgoGBAeLi4pCXl4egoCB06NABTk5OcHV1xY0bN2BpaYnMzEwolUrc\nv39fdiIeGxuLw4cPAwC6du2KyZMnS+XJycnYvHkzzM3N0bp1a1y7dg3Ozs44f/48fvnlFxw9ehTf\nffcdPvroI5VEvDSOjo7YsGEDTExMcOHCBYwcOVJKxktrc+/evfjtt99w4sQJCCEwePBglR8giIiI\nACbjREREVAY2NjZo3bo19u3bpzL9+PHjSE1NRXBwMAAgNzcXf/75J5ycnODm5oa0tDT873//w6lT\np3D48GHUrVtXVnsKhQIjRowo9jZ1hUIBPz8/1K5dGwCgVCqRmZkJ4NmV8JycHOTn5+P+/fto2LCh\n7HU0NzdHWloafv75Z1y/fh23bt2S1eb333+PAQMGwMDg2UtrunTpguzsbNntEhHRvwOTcSIiqjD6\n+Cw0Y9INhUKBcePGYdSoUSrTjYyMMG3aNPTq1UttGRcXF/z888+4fPkyhg4diuXLl8PNzU12myXd\nTl5amYeHB9q0aYPOnTujcePGWLBggez2Nm/ejG3btmHEiBHo3Lmz7DYNDQ1VykqLm4iI/r2YjBMR\nybAowL2qQ1CTmZkp+6qiHA3MTSqsLvp3cHFxgZOTEw4cOCBNCwwMxLJly9ClSxeYm5tDCCENYObq\n6oqxY8fiP//5D/z9/dG2bVu89dZbOo0xOTkZV65cwalTp2BkpN1pz6FDhzBx4kT06NED//vf/2Qn\n1V27dsW6deswePBgZGdnIyEhAR07dixL+ERE9BJjMk5EJIOXXe2qDkGdHsakj1d7X5aYDK0t0XDO\nBB1E83/1y/X86ODvvfce9u7dK31+4403cOvWLQQHB8PU1BQAsGPHDpibm8PFxQVmZmbo168fjI2N\nERgYCFdXV9ntbtiwAXFxcQCeJfbPj4Be0ojllpaWSEtLQ58+fWBgYIAaNWpg4MCBKs+6KxQK/Pjj\nj4ZgibMAACAASURBVAgMDMRHH32EV199FQDw9ttvY+LEiWjYsCF69OgBCwsLZGdnw8zMrNQ2/f39\nceLECXh7e8Pa2hr29vYcUZ2IiNQoBO+dIiIqVUJCAlq3rtr3jNO/S3p6uqxBzUizw4cP4/jx44iO\njoahoSEOHTqEJUuWID4+vqpDe2mU1F/Pnj2Lnj17VkFERETVg0FVB0BERGWTlJRU1SGoYUzy6GNM\nLytHR0ecO3cOwcHBCAwMxLZt27Bq1aqqDouIiIi3qRMREdHLy9PTU7q1nYiISJ/wyjgRUTX1sjwL\nrWuMiYiIiPQRk3EiIiIiIiKiSsZknIiomtLH544Zkzz6GBMRERFVLibjRERERERERJWMA7gREVVT\n+vjcMWOSpywxXc98iJuPHukgmmdszc2hrFtHZ/UTERGRKibjRERE1cDNR48wfO9+ndW/sW+QrGQ8\nJiYG27dvh42NDZ4+fYpp06bBx8enQmJYuHAhQkJC4OHhoVY2cuRIpKSkoEGDBti8eTMMDP7v5r7L\nly/j66+/xvTp0yskDiIiosrA29SJiKopfXzumDHJo48xyaVQKBAREYFDhw7hiy++wLhx45CTk1Mh\ndU+dOrXYRPzOnTv46aefcPToUWzZskUlEQcAd3d3JuJERFTtMBknIiIirQghAACOjo6ws7PDjRs3\nkJWVhaioKISEhKBdu3aIjo5WWebUqVMIDg5GQEAA/P39cf78ealsw4YNCAgIgLOzM3799VeV5RYu\nXIiwsDD8888/CAgIQHh4uFSWm5uLgIAAdOnSBWFhYWpxltYmERFRVeNt6kRE1dTL8iy0rjEm3fnr\nr7+QlZUFZ2dnGBkZITo6GpaWlsjJyUGbNm0QEREBGxsbpKamYvz48dizZw8cHBzU6hk5ciRGjhyJ\n4OBgKBQKlbKpU6di0KBBCA0NRVxcnEqZqakp4uLicOrUKaxYsUKlTFObREREVY3JOBEREckmhEBs\nbCzi4+NRp04dxMbGwsjo2emEoaEh4uPjkZqaChMTE2RkZMDGxgZHjhxB3759y5wUF12J16a8vG0S\nERHpGm9TJyKqpvTxuWPGJI8+xiSXQqHAiBEjsH//fnz11Vdo2rQpAODSpUsIDAxEeno6mjdvDisr\nKylJVigUyM/Pr/Q4K7tNIiIibTAZJyIiIq0UdyU6MTERfn5+CA8PR506dZCamirN5+Pjg927d+PK\nlSuVFmNVtElERKQN3qZORFRN6eNzx4xJHn2MSRsvPtcNACEhIRgyZAhOnjwJDw8PdOzYERkZGQCe\nDfS2atUqjBs3DoWFhVAoFJg1axY6duxYrjafL3uxvCLaJCIi0iWF0PQgFhHRv1xCQgJat25d1WHQ\nv0h6ejrs7OxUpl3PfIibjx7prE1bc3NZ7xknelFx/RUAzp49i549e1ZBRERE1QOvjBMRVVNJSUl6\nd4WVMclTlpiUdeswWSYiInqJ8JlxIiIiIiIiokrGZJyIqJrSt6u9AGOSSx9jIiIiosrFZJyIiIiI\niIiokjEZJyKqpvTxXdWMSR59jImIiIgqF5NxIiIiIiIiokrGZJyIqJrSx+eOGZM8+hgTERERVS6+\n2oyIiKgaKLh9E+Jehs7qV1g1gGFDW53VT0RERKqYjBMRVVMvy/uzde1liUncy0Du/Pd1FBFgOuM/\ngMxkPDs7G5MmTcLff/8NQ0ND9OvXD6NHj66QOOLi4uDm5obGjRurTA8KCsK8efPQsmXLMtUbGRmJ\ns2fP4scff5Td5ooVKxAXF4eLFy8iNTW1TO2WpKQ2i+zbtw9CCPTt27dC2yUiIv3B29SJiIhIK8uX\nL4dSqcThw4dx6NChCkvEAeDgwYP4448/1KYrFIoy15mXl4czZ87A3t4eFy5ckN3m2LFjERcXV+Z2\nS1NSm0WCg4OZiBMRveSYjBMRVVP6drUXYExy6WNM2nrw4EGx0x8/fozx48fD398fPj4+WLt2rVSW\nlPT/2rv36Cir+9/jn0kmF8iEoCAIFaKklkKRH42WRYsLKEkwF5M2IHdpuSlqRDzQA4KgIvwg6BIh\ni4ASUIscwMoJ0ZIEhAGisVUrqYBG0ANeGWK4mCEkJOQy5w8X8zMNSWZCZuYZeb/+mnkue3/mWawh\n39l7P0+hxo8f73yfnp6uNWvWON8/8sgjslqtWrZsmRITE5Wfn9+g7ffee08TJkzQwIEDG7Tbkr17\n92r48OEaO3asduzY0WBfS302pby8XGlpaRo5cqQGDhyopUuXNvicqampWrRokVJSUjR8+HCdO3fO\npT4/+OADJSYmqn///g2uzWUvv/yyRowYocTERCUlJammpsbl6wAAMBaKcQAA4JaZM2eqvLxcw4YN\n02uvvdZg38qVK9WxY0ft3r1bO3fu1Pbt2/X2229fsZ3/HO3OyMhQTEyMHn/8ceXl5SkhIaHBfpvN\npi1btmj79u3KyMhwOe+OHTs0atQoJSYmateuXW712ZTw8HAtXbpU2dnZKigo0NatW1VSUuLc//nn\nn2vSpEl688031adPH+Xm5rrU58CBA5WXl6eJEyc26jMnJ0dvvvmm3njjDeXl5Sk3N1dBQUEuXwcA\ngLFQjAOAnzLis6rJ5BojZnJHWFiYXnjhBb366qvatWuXZs6c6dy3b98+TZ48WZIUGhqqiRMnau/e\nvW6173A4rrh91KhRkqSePXvq/PnzLrV18eJFFRQUaNGiRbrnnnt0+vRp/fvf/3a5z+YEBgZq9+7d\n2rx5s4KDg1Va+j832Lvtttv0i1/8wpnXbrdfdZ9vvvmmZs6cqXbt2rmdFQBgPBTjAACgVXr06KGN\nGzdq165dqq2tdW6vr693vnY4HAoIcO/PjabWh7emYH7rrbc0evRo7dmzR2+99ZbS09OVk5Pjcp9N\n+eSTT5SUlCSbzabbbrtNnTp1cjtfa9bB19XVuX0OAMCYKMYBwE8Zcd0xmVxjxEzuqKysdL4+duyY\nbrjhBpnNPzygJSYmRi+//LLzuM2bNys2NlaS1LFjR50+fVqSVFNTc8UR6tDQUOcxPy7qWysnJ0d3\n3XWX831MTIx27tx51X0WFBRoxIgRmjJlijp06KCvv/7arWK8NX0mJydr1apVKi8vl9S6HycAAMbB\no80AAPADpk5dfnj8mAfbd1V+fr7WrFmj9u3bq127ds7iW5Jmz56t+fPna8SIEaqrq9O4ceOcPz70\n69dP3bt31/Tp09W5c2dFREQ0Gh0ePXq00tLSlJOToz59+mjFihX/k9HNkeSKigq9//77ysrKcm7r\n2LGjunXrpoMHD+r2229vsU/ph6nuiYmJGjNmjHMK/siRI3XvvffqnXfe0a233qrf/va3zmnqJpOp\nUVZ3PmdT56SmpurcuXNKTU1VcHCwTCaTtm3bpvDwcLeuCwDAGEwOflYFgGZZrVZFR0f7OkYjP5Xn\nZ3uaP2ay2Wzq3r27FxMBrdfUv9eioiLFxMT4IBEA+AemqQMAAAAA4GUU4wDgp4w22iuRyVVGzAQA\nALyLYhwAAAAAAC+jGAcAP2XEZ1WTyTVGzAQAALyLYhwAAAAAAC+jGAcAP2XEdcdkco0RMwEAAO/i\nOeMAAPiBU+erVXrhksfa72IJVrcOIR5rHwAANEQxDgB+yh+fn+0LP5VMpRcu6X/n/T8PJZKeTfy5\nS8X4pEmTNGPGjAb5KysrNWjQIB0+fPiqc+Tl5SkqKkq9e/d2+Zy0tDRVVFTolVdekSTNnTtXv/71\nrzV+/PirzvPxxx/r1KlTiouLa7A9PT1dFotFDz/8sNttfvTRR1q4cKGqqqoUGBiomJgYzZ0796qz\nStK6des0efJktWvXrk3ae/vtt5Wenq7i4mLl5ORowIABbdIuAIBp6gAAwA2RkZGy2WwNtp08eVKR\nkZFt0n5ubq6OHTvm9nlvvfWWPv/8c0mSyWRqkyySdPjwYe3du7fR9tb2UVNToxkzZuiZZ57R3r17\ntXv3bj3wwANXG9PpxRdf1MWLF9usvSFDhigvL0/9+/dv0+sKAGBkHAD8ltFGeyUyucqImVz142L8\npZde0j333CObzeYsxuvq6rR48WJ9+OGHqq2t1bRp0zR27Fjn+ZmZmdqxY4cCAwMVFham7Oxs575H\nHnlEVqtVBw8e1AsvvKCZM2cqISHBpVyjRo3SqlWrlJmZ2Wjf2rVrlZ2drYCAAPXr10/Lli1TaGio\nJGnLli169913VVlZqZMnT2rgwIFaunSpJGnDhg1av369KioqdOTIEQ0dOlTz5s1ztmuz2XTffffp\n+PHjioqKUlZWVos5rVaroqOj1bdvX+e2Dh06OF+fOXNGc+bM0blz5+RwOLR06VLnaHR6errsdrvO\nnDnTqM+qqiqlpqaqtLRU48aNk9ls1vr163XTTTe1+DmLi4u1fPly2e12lZSU6IknntDdd9/t0nUH\nALQexTgAAHBZZGSkrFarjh49qhUrVshisai+vl4333yzJGnTpk0KCAhQXl6eqqurlZycrEGDBiky\nMlJ2u12rV69WcXGxzObGf4JkZGQoLS1N8fHxSk5OditXXFycVq9erW+//bbB9v3792vnzp3Kz89X\nUFCQ5s+fr5UrV2rBggXOYw4cOKDs7OxGU+OnT5+usLAwHTp0SOnp6Q32ORwOffLJJ9q8ebMsFoui\no6P15ZdfOq9DU7744otmj5k3b57uvfdexcXF6ZtvvtGECRP0zjvvOPcXFxdfsc/Q0FDl5+drwIAB\neu2113Tdddc1arupz9mzZ09t3LhRwcHBOnLkiKZNm0YxDgBewDR1APBTRnxWNZlcY8RMrurZs6ds\nNpvy8/P11FNPadeuXbLZbLrlllsk/VD8HjhwQCkpKRo9erSqqqr02WefSZIiIiIUGxurMWPGKCsr\nS2fPnr1iHw6Ho1XZHnroIWVkZDTYZrVaNX78eAUFBUn6ocC2Wq3O/SaTScnJyU2uUXc4HFfMYzKZ\nNGLECIWHh8tkMqlHjx6y2+2tyv1jBQUFysjIUEpKitLS0nTp0iWVlZVddZ/NfU6LxaLS0lK98cYb\nKigoUElJyVV/DgBAyxgZBwAALrtcjFdWVmrbtm16/fXXdeLECQ0ZMkSSZDab9dhjjyk+Pv6K569d\nu1alpaXKzc1VXFycduzY0Wi9eWvWJptMJqWmpmrlypXq3bu3sw2TyaT6+nrncfX19Y3ab674by5L\na3406NWrl7Zv397kfrPZrC1btig8PLzN+mzp3M2bN2vbtm2aOnWqBg8e3Or2AQDuYWQcAPyUEdcd\nk8k1Rszkqvbt2+v777/X9ddfr6CgIA0dOlQ7d+50Tr1OSkpSRkaGLly4IKlxAVhXV6cuXbpoypQp\nioqKco6aXxYaGqrTp09LUoMiuiUOh0MBAQGaPn26cnNzndtjY2O1detWVVdXS5KysrIa3Bm9peI2\nJCSkVXmaMnz4cB0+fFiHDh1ybvvqq6+crxMSErR8+XLne3f7DAkJUWlpqaSGn625z5mfn6/Zs2dr\n5MiROnHiRJPHXs0PAQCAxijGAQCAWzp37uwc+U5ISFB9fb06d+4s6YcbqSUlJSklJUWJiYlKSkpq\nUJinpqYqMTFRMTEx6tOnj2JjYxu0PXr0aGVmZiolJUXz5893OdPlEezx48fr+uuvd24fOnSo/vCH\nPygpKUlxcXGqra3Vo48+2uC85ka/hw0bpuPHjys+Pl5jx45tcKfy1ozgBwUFacOGDVq4cKFiY2MV\nGxurjRs3OvcvWbJEFy9eVGxsrBITEzVz5swrfs6mTJ06VRMnTlRqaqpeffXVBuc1de6DDz6oxx57\nTMnJyfr666/VsWNHVVRUNDpu1qxZmjNnjjsfFwDQDJODnzkBoFmX735sND+V52d7mj9mstls6t69\ne4Ntp85Xq/TCJY9l6mIJduk548B/utK/V0kqKipSTEyMDxIBgH9gzTgAAH6gW4cQimUAAH5CmKYO\nAH7KaKO9EplcZcRMAADAuyjGAQAAAADwMopxAPBTRnxWNZlcY8RMAADAu1gzDgAu+PrEWV9HaCQi\nrLvhcpHJNS1lqlONF9MAAABfoBgHABf8bcO/fB0B15AhSTfpll6+TgEAADyJaeoAAAAAAHgZI+MA\nAPiBsrMVOm+v8lj7HSJC1bFTmMfaBwAADVGMAwDgB87bqzy6XGLM9N+4VIxPmjRJM2bMaPB4tsrK\nSg0aNEiHDx++6hx5eXmKiopS79693Tpv5cqVysvLU3BwsHr16qU1a9ZcdRZJ+vjjj3Xq1CnFxcU1\n2J6eni6LxaKHH37Y7TY/+ugjLVy4UFVVVQoMDFRMTIzmzp3bJnnXrVunyZMnq127dm3S3ttvv630\n9HQVFxcrJydHAwYMaJN2AQAU4wAAwA2RkZGy2WwNtp08eVKRkZFt0n5ubq7uuusut4rxwsJC7du3\nT3v27JHJZGqTHJcdPnxYhw4dalSMt7afmpoazZgxQy+//LL69u0rSTp//vxV57zsxRdf1NixY9us\nGB8yZIiGDBmilJSUNr+2AHCtoxgHABckTYr2dQRcQ4KCLvo6QpN+XIy/9NJLuueee2Sz2ZzFeF1d\nnRYvXqwPP/xQtbW1mjZtmsaOHes8PzMzUzt27FBgYKDCwsKUnZ3t3PfII4/IarXq4MGDeuGFFzRz\n5kwlJCS4lKuqqkqVlZUKC2s8ur927VplZ2crICBA/fr107JlyxQaGipJ6tGjh7755htJPxT1mZmZ\n2rp1qyRpw4YNWr9+vSoqKnTkyBENHTpU8+bNc7Zrs9l033336fjx44qKilJWVlaLOa1Wq6Kjo52F\nuCR16NDB+frMmTOaM2eOzp07J4fDoaVLlzpHo9PT02W323XmzJlGfVZVVSk1NVWlpaUaN26czGaz\n1q9fr5tuukmStGXLFr377ruqrKzUyZMnNXDgQC1dulSSVFxcrOXLl8tut6ukpERPPPGE7r77bpeu\nOwCg9SjGAcAFs9496esIuIbMjg7Tz30dogmRkZGyWq06evSoVqxYIYvFovr6et18882SpE2bNikg\nIEB5eXmqrq5WcnKyBg0apMjISNntdq1evVrFxcUymxv/CZKRkaG0tDTFx8crOTnZ5Ux33nmnEhMT\nNWzYMI0bN04PPPCAsyjfv3+/du7cqfz8fAUFBWn+/PlauXKlFixYIKn5Ee7p06crLCxMhw4dUnp6\neoN9DodDn3zyiTZv3iyLxaLo6Gh9+eWXzuvQlC+++KLZY+bNm6d7771XcXFx+uabbzRhwgS98847\nzv3FxcVX7DM0NFT5+fkaMGCAXnvtNV133XWN2j5w4ICys7MbzTro2bOnNm7cqODgYB05ckTTpk2j\nGAcAL+Bu6gAAwGU9e/aUzWZTfn6+nnrqKe3atUs2m0233HKLpB+K3wMHDiglJUWjR49WVVWVPvvs\nM0lSRESEYmNjNWbMGGVlZens2Ss/a93hcLida/bs2dq3b59qa2uVkJCgixd/mF2wb98+jR8/XkFB\nQZJ+KLCtVqvL7TocjivmMZlMGjFihMLDw2UymdSjRw/Z7Xa3c/+ngoICZWRkKCUlRWlpabp06ZLK\nysquuk+TyaTk5OQrTv+3WCwqLS3VG2+8oYKCApWUlFz15wAAtIyRcQAA4LLLxXhlZaW2bdum119/\nXSdOnNCQIUMkSWazWY899pji4+OveP7atWtVWlqq3NxcxcXFaceOHY3Wm7d2bXJ4eLjmzZunQ4cO\n6V//+pczU319vfOY+vp6t9pv7tjW/GjQq1cvbd++vcn9ZrNZW7ZsUXh4eJv12dK5mzdv1rZt2zR1\n6lQNHjy41e0DANzDyDgAAHBZ+/bt9f333+v6669XUFCQhg4dqp07dzqnXiclJSkjI0MXLlyQ1LgA\nrKurU5cuXTRlyhRFRUU5R80vCw0N1enTpyU1LKKbU1tbq0uXLkmSysvL9dVXX6lXr16SpNjYWG3d\nulXV1dWSpKysrAY3YwsKClJFRYUk6YMPPmjUdkhIiNt5mjN8+HDnTeEu++qrr5yvExIStHz5cud7\nd/sMCQlRaWmppIbXvrkiPj8/X7Nnz9bIkSN14sSJJo+9mh8CAACNMTIOAIAf6BARqjHTf+PR9l3V\nuXNn58h3QkKCnnvuOXXu3FmSNGrUKJWUlCglJcV5k7S//e1vslgscjgcSk1NVW1traqrqzV48GDF\nxsY2aHv06NFKS0tTTk6O+vTpoxUrVrSY54svvtADDzygkJAQSdKiRYucNy4bOnSoiouLlZSUJJPJ\npNtuu02PPvqo89xZs2Zp4sSJ+uUvf6mwsLBGI+HDhg3T6tWrFR8fr/DwcG3atMl5p/LWjOAHBQVp\nw4YNWrBggXMq/e9+9zs9/fTTkqQlS5Zo0aJFio2NVXBwsG655RZlZmY6z2+pz6lTp2rixInq0aOH\nUlNT9ac//cl5XlPnPvjgg5o9e7a6du2q4cOHq2PHjqqoqGh0M7xZs2bpjjvu0HPPPef25wYANGZy\n8DMnADTLarXqsSIe6QPvmR0dpvjoX/g6BuASm82m7t27N9peVFSkmJgYHyQCAP/AyDgAuOCZYTf6\nOgKuIe1N1b6OAAAAPIxiHABc8POn/uTrCLiGfD91jhR1s69jAAAAD+IGbgAAGE0b3CgMAAAYG8U4\nAAAG46gob5M7dwOe1tRz2AEALaMYBwDAYMJ3b9c3H/yDghyGd+7cOUVERPg6BgD4JdaMAwBgMEHn\ny9Rh02p9+51NpjCLFMBv5/4soGcvmdpbfB3DI0JCQmSx/DQ/GwB4GsU4ALig5i//7esIjdTW1sps\nNtbXOJlc42qmcC9kucyI10nybq7gwECFBLbc13m7XR3cGA02hYcrsGu3q4nWosLCQt15550e7QMA\n0LaM978uABjQ4H/829cRAHjYK39I1sCfNX5e9n8qLizUnX3/ywuJAAA/Zcx7AwAAcIMRR6CNmAkA\n0DyKcQAAAAAAvIxiHAAAwA2FhYW+jtCIETMBAJpHMQ7gJ6+0tFSTJ09WVVWVJGnx4sWqrq72cSoA\nAABcy7iBG4BrgslkktVqVVJSUqvOfyk2po0TATCaLjW1qvrksxaPu+O6Ls7jAjtfp6CuN3g6WotY\nMw4A/odiHMBPnslk0q9+9SsVFRUpISFBkuRwOHTgwAHt3btXDodDv//97xUbG9tkG90WPuetuAB8\n6Ds3j+/65P8yRDEOAPA/TFMHcE0ICAjQwIED9Y9//EOSVFlZqT179mjx4sVasmSJCgsLde7cOR+n\nBIDWYc04APgfinEAP3kOh0OSNGzYMO3fv1+S9N133ykqKkqBgYEKCAjQrbfeqlOnTvkyJgA/ZLfb\nGxTChYWFvOeHAQBwCdPUAVwzQkJCFBUVpd27d6tr1646fvy4amtrZTKZ9NlnnykxMdHXEQH4mYiI\nCN35q1843//n2u1r/T0AoGkU4wB+8kwmk/N1fHy8cnNzFRYWpri4OD311FNyOBwaPny4rrvuOh+m\nBAAAwLXE5Lg8fxMAcEVWq1WRBvyqrK2rlTnQWL+pksk1ZHKdr3IFmYMVbA654j673a6IiAhJxrmb\nemFhoeFGpYuKihQTw5MoAKApxvtfFwAMKM16v68jAPCiReNe1K963nbFfR8WFjaYmg4AQGtwAzcA\nAAA3GG0EWjJmJgBA8yjGAQAAAADwMopxAAAANxjx0V1GzAQAaB7FOAAAAAAAXsYN3ADABfMTnvN1\nBABeZKk06+y7RVfc9+ubbvFympaxZhwA/A/FOAC44FTcAl9HAOBFp5rZ95v/u0ZhN//Ma1kAAD9N\nTFMHAABwg91u93WERlgzDgD+h2IcAAAAAAAvoxgHAABwQ0REhK8jNMKacQDwPxTjAAAAAAB4GcU4\nAACAG1gzDgBoC9xNHQBc0P//PO/rCI3U1tbKbDbW1ziZXEMm17VFrkBzgMzmwDZKJNkDHW3WFgDg\n2mW8/3UBwIC2WL/3dQQArTRm+m/UtVenNmuv7VpqO6wZBwD/wzR1AAAAAAC8jGIcAADADUZcn23E\nTACA5lGMAwAAAADgZRTjAAAAbjDi+mwjZgIANI8buAGAC5ImRfs6AoBWqgky65CtvMn9XSzB6tYh\nxIuJAACgGAcAl8x696SvIwDwkGcTf+5WMV5YWGi4kWgjZgIANI9p6gAAAAAAeBnFOAAAgBuMOAJt\nxEwAgOZRjAMAAAAA4GUU4wAAAG4w4jO9jZgJANA8buAGAC54NvHnvo7QiN1uV0REhK9jNEAm15DJ\ndd7I1cUS7NH2AQC4EopxAHDBf3UP93WExsjkGjK5xoiZJEPmMuL6bCNmAgA0j2nqAAAAAAB4GcU4\nAPgpI64RJZNryOQ6I+YiEwCgLVCMAwAAAADgZSaHw+HwdQgAMDKr1aro6GhfxwAAv1JUVKSYmBhf\nxwAAw2JkHAAAAAAAL6MYBwA/ZcQ1omRyDZlcZ8RcZAIAtAWKcQAAAAAAvIw14wDQAtaMA4D7WDMO\nAM1jZBwAAAAAAC+jGAcAP2XENaJkcg2ZXGfEXGQCALQFinEAAAAAALyMNeMA0ALWjAOA+1gzDgDN\nY2QcAAAAAAAvoxgHAD9lxDWiZHINmVxnxFxkAgC0BYpxAAAAAAC8jDXjANAC1owDgPtYMw4AzWNk\nHAAAAAAAL6MYBwA/ZcQ1omRyDZlcZ8RcZAIAtAWKcQAAAAAAvIw14wDQAtaMA4D7WDMOAM1jZBwA\nAAAAAC+jGAcAP2XENaJkcg2ZXGfEXGQCALQFinEAAAAAALyMNeMA0ALWjAOA+1gzDgDNY2QcAAAA\nAAAvoxgHAD9lxDWiZHINmVxnxFxkAgC0BaapA0ALDh48qLKyMl/HAAC/0rFjR91+++2+jgEAhkUx\nDgAAAACAlzFNHQAAAAAAL6MYBwAAAADAyyjGAQAAAADwMopxAAAAAAC8zOzrAABgBIcPH9b27dsl\nSWPGjFG/fv3a5Fhv5vr000+1adMm9e3bV5MmTTJEpvXr1+vUqVOqr6/XQw89pK5du/o807ZtxyGq\nagAABPJJREFU23Ts2DEFBATo/vvvN0QmSaqpqdGsWbOUkpKi+Ph4n2fKzMyUzWZTcHCwhg4dqmHD\nhnkkk7u5zp49qzVr1qiurk5RUVH685//7NNMlZWVevbZZ53vT5w4ob/+9a8+zSRJBQUF2r17twID\nAzV27FiPfU+5k2nPnj06cOCAQkNDNX36dHXr1s0jmQDAbzgA4BpXV1fnWLhwoaO6utpRXV3teOKJ\nJxz19fVXfaw3czkcDsehQ4cc77//vmPTpk0eydOaTJcdOXLEsX79ekNl+vTTTx0vvviiYTLl5uY6\nnn32WceuXbsMkSkzM9Nx+vRpj2S5mlzPP/+84+jRo4bKdNmXX37pWLdunSEyzZkzx1FXV+eoqKhw\nLFiwwOeZqqqqnDnsdrvjueee80gmAPAnTFMHcM0rKSlRt27dFBwcrODgYHXt2lUlJSVXfaw3c0lS\n//79ZbFYPJKltZkuCw0NldnsmclYrc30+eef62c/+5khMlVXV+vw4cO644475PDQE0dbc508laW1\nuerr6/Xdd9+pd+/ehsn0Y/n5+UpISDBEpptuuknFxcUqKirSrbfe6vNMDodDtbW1qqmpUVhYmMrK\nylRbW+uRXADgL5imDuCad+HCBbVv316vvPKKJKl9+/YqLy+/4hRKd471Zi5vaW2m/fv3KzEx0TCZ\nnnzySZ0/f15PP/20ITLl5+crPj5eZWVlHsnTmkyhoaHKyMhQWFiYJk+erBtvvNHnuc6fP69Lly7p\nmWee0cWLF5WQkKCBAwf6NNNl5eXlOnv2rCIjI9s8T2sy9e/fX7m5uaqtrdVdd93l80yhoaFKTU3V\nsmXL1K5dO1VUVKiyslIdOnTwSDYA8AeMjAO45lksFlVWVmrChAkaP368KioqmvwD0Z1jvZnLW1qT\n6cMPP1T37t09NgrdmkyLFy9WWlqa1qxZ4/NMlZWVOnr0qAYMGOCRLK3JJElTp07VkiVLNG7cOL36\n6quGyGWxWNS+fXv95S9/0eOPP64dO3bo0qVLPs102d69exUTE9PmWVqT6bvvvlNRUZHmzZunxx9/\nXH//+98NcZ0GDRqkJ598UnPnzpXZbPb59xkA+BrFOIBr3o033qhTp04535eUlDQ5CujOsd7MdZmn\npxW7m+nEiRMqLi5WUlKSYTJd1rFjR9XX1/s809GjR1VTU6NVq1Y5b3D17bff+jTTjwUFBSkwMLDN\n87Qml9lsVqdOnVRWViaz2eyxpQ/uXqu6ujoVFRV5ZJS+NZnq6+tVV1cn6YfvBE8U4u5m+rGioiKP\nzSAAAH9icnhjQRgAGNyhQ4ecdwQePXq0+vfvL0n65z//qZCQEEVHR7d4rK9z5eTk6KOPPlJZWZn6\n9u2r+++/3+eZHn74YXXq1EkBAQHq0aOHpk6d6vNMzz//vMrLy2U2mzVlyhSPTft3J9NlBw4cUHV1\ntcemFbuTadWqVfr+++/Vrl07TZs2TTfccINHMrmb68yZM8rKylJlZaV++9vfemz5gzuZ3nvvPZWU\nlOiPf/yjR7K0JlN2draOHTum+vp6DR482GN3w3cn07p162Sz2RQaGqqZM2cyMg7gmkcxDgAAAACA\nlzFNHQAAAAAAL6MYBwAAAADAyyjGAQAAAADwMopxAAAAAAC8jGIcAAAAAAAvoxgHAAAAAMDLKMYB\nAAAAAPAyinEAAAAAALzs/wO07JPyg0H95wAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10807aa10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9e/bEqlWroKGhAQDYvXs3zp8/j9LSUjx9+hT29vaIjo4GAGzfvh1bt25FSUkJ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\nL168WMOHDw9enpmZqe9973vKy8tTdna2/H6/Hn3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p3C7DMOT3+3Xp0iWlpKSopaVFfr/f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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10baabd50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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RUlKCoKAgmJmZAQC+//57WFpaokePHrCwsEBwcDCMjY0hEong5ubGOl9KSgoy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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107ebae90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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TPD09YWpqim+++QZGRkbw9/fHlClTcPHiRfTo0QNDhw5Ffn5+o7PXt0/CHbxa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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1081eac90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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NpWXHjh1T+FUpk8mQlZWFDz/8EOXl5di6dStSUlLU9q1ufV3bten3nwta1yFE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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108010390>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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e1S5hAelpEUIIUQ4GDBhg0f42NjYGN9yHf9ZoNCa3lUSj0TB16lR69uxpUTxa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\n/h898olbZKr9UQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10cbd8610>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rude_vs_freq = data.groupby(\"How often do you travel by plane?\")[\"In general, is itrude to bring a baby on a plane?\"]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rude_vs_freq.value_counts().plot(kind='barh')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x107eaa4d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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vbpsH0OsGYE9PDyEhIbf1QIEQQrgiawELIYTvAjoR9IULF/i///f/YrVagd6x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\n7yu+bVUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107eb37d0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "create_all_graphs(data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jU/PI1FmYYQcAAAAcjBl2eMXlcumFTdZ1W39WWqJ6to+4busDAAD4G5/DDgAA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108125c50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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oLXwhjAMAAAAWYWa8iWJmHAAAwD/MjAMAAACNGGEcsBlmE+2N/toXvbUvegtf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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1081cf910>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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K1QAAAMAJNMZxoKooN9YlJITReo7xUPGrN3NkZYaczJGVGXIyQ07OozGOA0Pd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\nU2trqzwej/Lz81VQUCBJamh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HUFpaKknav3+/6uvrVVFREXJeZ2en9uzZo+uuu04NDQ0O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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108303710>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AQARiBhAAAAABowBGEeYr7JGpPTK1R6b2yNQemToLBRAAAMBlmAEEAACIQMwA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\nAAIAALgMBRAAAMBl/h9Ozbe6T1PqNwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10984bd10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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55u55XXE2z+7m09W8uTp/vMlRkr788kvNmzdPa9euVVxcnGJjY93W4+p5XTl7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\ne4ncD2nVVgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10831c0d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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mduO9XcWUehrz7R07dhhVT2O+vWPHDqPqaey368NhXfibHeDFqVOn9OSTTyo7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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10844a310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ruLhYsbGxioyMVGlpqfbt26eYmBhb4/c1b4HUpa7O19f427dvH9Trht3rMNj9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\nAAAANhCgAQAAAACwgQANAAAAAIAN/w8NM6L7bbcXkQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109844950>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VK1Zo+vTpcrlcmj59unr06CFJSkhIUIcOHfTjjz+qb9+++v7779W6deuz6uzZ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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10808a450>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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W7rzzTkVEROjNN9/UpEmTin0bt7+Z+FLa+YnL5dI///lPbdu2TSkpKWrRooXq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\nwSWOJPtYcgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1080f1510>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kVkn64osv1KlTJzmdTjVu3Fi7du2q9O+alzWOdKYATE1NVUpKihITEzV8+PAK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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x101c70ed0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x1080f17d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nn5Qkvffee3rggQd07tw579XhiIgIFRUVqXXr1uratatmzJhx2zojIyP1wQcf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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108306d10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x1083aa2d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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kSdnZ2crKylJ0dHSV+127dq127typAwcOyBijOXPmqLCwUH/961/9bqcq527H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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108f70c50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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4lJGRoZCQEKWlpenxxx+XpGL/X7Zsmb744gvFxsbq9OnT5eYDAAAAVFaNLR4S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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1075f8a50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CHs5E0w4AAABYjqYdsADzifYgC3uQhT3Iwi7k4Uw07QAAAIDlaNoBCzCfaA+y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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108103a50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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264HbwXU7T7DMx63bTvAYY4xjozksMzNTOTk56tu3ryTJGKOJEyfqnnvuUVRU\nVIHfc/ToUU2YMMFXkJZWTk6OHn30UXk8Ho0fP77Y8/5xjnmOHDmiJ554QlLJ3mBZ2Djjxo3TtGnT\nlJubq/T0dD322GM6cOCApk+frkmTJungwYO6++679eyzz5YonzwZGRm6Z6Wn2HkBqFjT+zVV+/ho\nt6cBACiDlStX+i7ellVQXxmXJI/HE/D1sGHD9PDDD8vj8ahOnTq67bbbJEmzZs3S5s2bdfjwYaWl\npQWMMX/+fHk8Hg0aNKjY80VGRqpevXpKSEgo0Xn/OMc81atXV3R0tJKTk8t0X/M0bdpUs2fPVmRk\npG9/TEyMOnXqpHvvvVdJSUm+1pzi5gkAAIDgEtRXxp2yatUq5ebmqmvXrqf0vDNmzNDw4cMVHR18\nV724Mg4Eh2C9Mk4/qEUOFjlY5OBHFlZIXBl3Qtu2bX1vtjwVNmzYoA8++ECtWrUKykIcAAAAwSEk\nrowjP66MA8EhWK+MAwCK58SV8aD8pz8AAABAKKAYBwDk88ePLwtV5GCRg0UOfmThHIpxAAAAwCUU\n4wCAfPiUBIscLHKwyMGPLJxDMQ4AAAC4hGIcAJAP/aAWOVjkYJGDH1k4h2IcAAAAcAnFOAAgH/pB\nLXKwyMEiBz+ycA7FOAAAAOASinEAQD70g1rkYJGDRQ5+ZOEcinEAAADAJRTjAIB86Ae1yMEiB4sc\n/MjCORTjAAAAgEsoxgEA+dAPapGDRQ4WOfiRhXMoxgEAAACXUIwDAPKhH9QiB4scLHLwIwvnUIwD\nAAAALqEYBwDkQz+oRQ4WOVjk4EcWzqEYBwAAAFziMcYYtyeBUy8jI0NVGjZzexpAyIutWVVxMdXc\nngYAoAxWrlyp3r17l2uMcIfmgkqofXy021MAAAAIabSpIOTR92aRg0UOFjlY5GCRg0UOfmThHIpx\nAAAAwCX0jIeojIwMpaamuj0NAACASsuJnnGujAMAAAAuoRhHyKPvzSIHixwscrDIwSIHixz8yMI5\nFOMAAACAS+gZD1H0jAMAAJQPPeMAAABAJUYxjpBH35tFDhY5WORgkYNFDhY5+JGFcyjGAQAAAJfQ\nMx6i6BkHAAAoH3rGAQAAgEqMYhwhj743ixwscrDIwSIHixwscvAjC+dQjAMAAAAuoWc8RNEzDgAA\nUD70jAMAAACVGMU4Qh59bxY5WORgkYNFDhY5WOTgRxbOoRgHAAAAXELPeIiiZxwAAKB86BkHAAAA\nKjGKcYQ/FNFmAAAWPUlEQVQ8+t4scrDIwSIHixwscrDIwY8snEMxDgAAALiEnvEQRc84AABA+dAz\nDgAAAFRiFOMIefS9WeRgkYNFDhY5WORgkYMfWTiHYhwAAABwCT3jIYqecQAAgPKhZxwAAACoxCjG\nEfLoe7PIwSIHixwscrDIwSIHP7JwDsU4AAAA4BJ6xkMUPeMAAADlQ884AAAAUIlRjCPk0fdmkYNF\nDhY5WORgkYNFDn5k4RyKcQAAAMAl9IyHKHrGAQAAyoeecQAAAKASoxhHyKPvzSIHixwscrDIwSIH\nixz8yMI5FOMAAACAS+gZD1H0jAMAAJQPPeMAAABAJUYxjpBH35tFDhY5WORgkYNFDhY5+JGFcyjG\nAQAAAJfQMx6i6BkHAAAoH3rGAQAAgEqMYhwhj743ixwscrDIwSIHixwscvAjC+dQjAMAAAAuoWc8\nRNEzDgAAUD5O9IyHOzQXVEKrt2W7PQUAISi2ZlXFxVRzexoAEBQoxkPYXf/Z4PYUAISg6f2aVppi\nfMmSJerWrZvb03AdOVjk4EcWzqFnHAAAAHAJxTgAAIXgyp9FDhY5+JGFcyjGAQAAAJdQjAMAUAg+\nS9kiB4sc/MjCORTjAAAAgEsoxgEAKAR9sRY5WOTgRxbOoRgHAAAAXEIxDgBAIeiLtcjBIgc/snAO\nxTgAAADgEopxAAAKQV+sRQ4WOfiRhXMoxgEAAACXUIwDAFAI+mItcrDIwY8snEMxDgAAALiEYhwA\ngELQF2uRg0UOfmThHIpxAAAAwCUU4wAAFIK+WIscLHLwIwvnUIwDAAAALqEYBwCgEPTFWuRgkYMf\nWTiHYhwAAABwCcU4AACFoC/WIgeLHPzIwjlFFuO7du3SiBEjlJOTI0maNGmScnNzT8nEirJw4cKg\nGeef//ynbr31Vq1cubJE2ytCenp6hZ8DAAAAziv2yrjH41FGRsapmEuJOTUfJ8YZPXq0evToUeLt\nAIDKg75YixwscvAjC+eEF7XT4/GoTZs2WrlypS666KKAfZmZmVq4cKGMMerZs6cuuOCCMk1g7Nix\nateundatW6c2bdpo2LBhRY7/9NNPa9u2bZo0aZLatGmjyy67rMjxFy1apK+//lq7du1Sr1691K9f\nP0fHcUpmZqbWr1+v7du3y+v1auLEiQoLC1N6erqmTp0qSQFfz58/X1999ZUSExN9r1xI0qpVqzRv\n3jx5PB71799fZ511lqPzBAAAgHOKLMYlKSwsTF26dNHSpUt92w4cOKAFCxZo8uTJ8ng8mjx5slJT\nU1W3bt1ST+DQoUMaOHCgYmJidNddd2nYsGFFjj9mzBilp6dr4sSJJRq/e/fu6tmzp44dO6bx48f7\niminxnHSvn37NGHCBIWFFf2CRVZWllasWKGHHnpIubm5Gjt2rCTJ6/Vqzpw5mjJliiIiIjR58mR1\n7NhRERERjs8VAMpq//79WvLLat+Vtbze02C8fXJfbDDMx63b3333nW655ZagmY9bt1kPypdBsMzH\nrdtO8BhjTGE7d+3apVdffVW33nqrHn74YXm9Xo0bN05bt27V559/rpEjR0qS5syZow4dOqhNmzal\nnkBBV343bNhQ5Pgnf09xvvvuO33zzTeKjIzU0qVL9eSTTxZ47vKM89ZbbyklJUWpqakB31PY9oJk\nZmYqJydHffv2DdheUD4//fSTvvjiC18+edv379+vO+64Q8nJyZKk7Oxs3X333YqNjc13voyMDN2z\n0lOi+w4ATprer6nax0e7PY0SWbJkCS/HixzykIMfWVgrV65U7969yzVGsVfGJalatWpKSUnRJ598\nIo/Ho9jYWP388886fvy4PB6P1q9f7+iV4uLGP378uLxeb7FXkCVp1qxZeuSRR7Rnz56Aq/tOjlOR\nvF6vJCk3N9f35tkGDRpo48aN8nq9OnjwoLKysiRJMTExSkhI0F133aWoqKhTNkcA+LOi2LDIwSIH\nP7JwTrE943n69u2rDz/8UJIt+vr06aMHHnhAxhj16tVLderU8R07f/58eTweDRo0qEyTKm78M844\nQ1OnTlVsbKxuuOGGIsdq0aKFJkyYoMaNGys6OlrGGN/9cmocSXrttdf022+/6eKLLw74vsK2F+Tk\n8fI0bdpUs2fPVmRkpG9/TEyMOnXqpHvvvVdJSUmqUaOG7/uHDRumhx9+WB6PR3Xq1NFtt91W7HkB\nAADgjiLbVMpq1apVys3NVdeuXZ0eGg6hTQWAW2hTqXzIwSIHP7KwTlmbSmm1bdtW4eEVMjQAAADw\np1Eh/4GTQhwA8GfAlT+LHCxy8CML51RIMQ4AAACgeBTjAAAU4uTPVA5l5GCRgx9ZOIdiHAAAAHAJ\nxTgAAIWgL9YiB4sc/MjCORTjAAAAgEsoxgEAKAR9sRY5WOTgRxbOoRgHAAAAXEIxDgBAIeiLtcjB\nIgc/snAOxTgAAADgEopxAAAKQV+sRQ4WOfiRhXMoxgEAAACXUIwDAFAI+mItcrDIwY8snEMxDgAA\nALiEYhwAgELQF2uRg0UOfmThHIpxAAAAwCUU4wAAFIK+WIscLHLwIwvnUIwDAAAALqEYBwCgEPTF\nWuRgkYMfWTgn3O0JwD3T+zV1ewpBYf/+/apVq5bb03AdOVjkYFVkDrE1q1bIuABQGXmMMcbtSeDU\ny8jIUGpqqtvTAAAAqLRWrlyp3r17l2sM2lQAAAAAl1CMI+TR92aRg0UOFjlY5GCRg0UOfmThHIpx\nAAAAwCX0jIcoesYBAADKh55xAAAAoBKjGEfIo+/NIgeLHCxysMjBIgeLHPzIwjkU4wAAAIBL6BkP\nUfSMAwAAlA894wAAAEAlRjGOkEffm0UOFjlY5GCRg0UOFjn4kYVzKMYBAAAAl9AzHqLoGQcAACgf\nesYBAACASoxiHCGPvjeLHCxysMjBIgeLHCxy8CML51CMAwAAAC6hZzxE0TMOAABQPvSMAwAAAJUY\nxThCHn1vFjlY5GCRg0UOFjlY5OBHFs6hGAcAAABcQs94iKJnHAAAoHzoGQcAAAAqMYpxhDz63ixy\nsMjBIgeLHCxysMjBjyycQzEOAAAAuISe8RBFzzgAAED50DMOAAAAVGIU4wh59L1Z5GCRg0UOFjlY\n5GCRgx9ZOIdiHAAAAHAJPeMhip5xAACA8qFnHAAAAKjEKMYR8uh7s8jBIgeLHCxysMjBIgc/snAO\nxTgAAADgEnrGQxQ94wAAAOVDzzgAAABQiVGMI+TR92aRg0UOFjlY5GCRg0UOfmThHIpxAAAAwCX0\njIcoesYBAADKh55xAAAAoBKjGEfIo+/NIgeLHCxysMjBIgeLHPzIwjkU4wAAAIBL6BkPUfSMAwAA\nlA894wAAAEAlRjGOkEffm0UOFjlY5GCRg0UOFjn4kYVzKMYBAAAAl9AzHqLoGQcAACgfesYBAACA\nSoxiHCGPvjeLHCxysMjBIgeLHCxy8CML51CMAwAAAC6hZzxEZWRkqErDZm5PAwAAwDGxNasqLqba\nKTufEz3j4Q7NBZXQXf/Z4PYUAAAAHDO9X9NTWow7gTYVAAAAwCUU4wAAAIBLKMYBAAAAl1CMAwAA\nAC6hGAcAAABcQjEOAAAAuIRiHAAAAHAJxTgAAADgEopxAAAAwCUU4wAAAIBLKMYBAAAAl1CMAwAA\nAC6hGAcAAABcQjEOAAAAuIRiHAAAAHAJxTgAAADgEopxAAAAwCUU4wAAAIBLKMYBAAAAl1CMAwAA\nAC6hGAcAAABcUqZi/Pvvv9fTTz/tu/38889rxYoVjk0qGKWnp5f6exYuXFgBM8mvLHMDAACA+8pU\njLdt21bZ2dnaunWrduzYoW3btqlTp05Oz63Sy8jIcHsKAAAACGLhZf3GoUOHau7cuYqIiNDQoUN9\n21etWqV58+bJ4/Gof//+OuussyRJn3zyib744guFhYWpR48e6tWrV5nOW9g4mZmZWrhwoYwx6tmz\npy644AJlZmZqzZo12rRpk9LS0vTxxx9r/Pjxql+/foHz/PzzzyVJ5513niTpu+++048//qghQ4bo\n+PHjmj17ttatW6c2bdpo2LBhkqRFixbp66+/1q5du9SrVy/169dPkvT0009r27ZtmjRpktq0aaPL\nLrusyPuVmZmp9evXa/v27fJ6vZo4caLCwsKUnp6uqVOnSlLA1/Pnz9dXX32lxMRE5eTkFJs/AADA\nn93+/fu15JfV6tatmyRpyZIlklRht51Q5mK8cePGqlq1qnJzc9W8eXNJktfr1Zw5czRlyhRFRERo\n8uTJ6tSpk8LDw7Vs2TKlp6erRo0a5ZpwQeMcOHBACxYs0OTJk+XxeDR58mSlpqZKkmJjY9WkSRMd\nOXJE55xzjjZt2qR69erlm2fHjh3VsGFDff/99/rpp5906NAh7du3T/Hx8ZKkgwcPauDAgYqJidFd\nd93lK8a7d++unj176tixYxo/fryvGB8zZozS09M1ceLEEt+3ffv2acKECQoLK/oFi6ysLK1YsUIP\nPfSQcnNzNXbsWEkF59+xY0dFRESUPGAAAIBKqlatWmrfyl8o/7Fodvq2E8pcjEu2XeXkq7LZ2dna\nu3evpk2bJkk6dOiQ9u7dq9jYWI0ZM0YLFixQdna2OnfurJYtW5bpnAWNs2vXLqWkpKhKlSqSpGbN\nmmn79u2SpNq1a0uSoqOjtW/fPp04cUIHDx7MN8+srCzFxcUpMzNTH374obxerxITE33tN7Vr1/aN\nVbVqVd98fvzxR33zzTeKjIxUbm5ume5Tnnbt2hVbiEvSnj17lJKSorCwMFWvXl0xMTGSCs4/KytL\nsbGx5ZoXAAAAKka5ivE/iomJUUJCgu666y5FRUUF7KtXr54GDRqko0ePasKECb6CsbQKGic2NlY/\n//yzjh8/Lo/Ho/Xr16tfv37avXt3qee5YcMGde3aVaeddprefPNNDRgwoMj5zJo1S4888oj27Nmj\npUuXBuw7fvy4vF5viQrswni9XklSbm6ur9hv0KCBNm7cKK/Xq4MHDyorK6vY+wUAAIDgU+5i3OPx\nBHw9bNgwPfzww/J4PKpTp45uu+02SbZo3bx5sw4fPqy0tLSAMebPny+Px6NBgwYVe76CxomJiVGf\nPn30wAMPyBijXr16qU6dOkXOt7B5RkZG6oILLlBUVJTef//9YovaFi1aaMKECWrcuLGio6NljPGd\n44wzztDUqVMVGxurG264odj7dnKWeZo2barZs2crMjLStz8mJkadOnXSvffeq6SkJF/LTlH5AwAA\nIPh4jDHG7UmsWrVKubm56tq1q9tTCRkZGRm6Z2X+4h8AAKCymt6vqdrHR5+y861cuVK9e/cu1xiO\ntqmUVdu2bRUeHhRTAQAAAE6ZoPgPnBTiAAAACEVBUYwDAAAAoYhiHAAAAHAJxTgAAADgEopxAAAA\nwCUU4wAAAIBLKMYBAAAAl1CMAwAAAC6hGAcAAABcQjEOAAAAuIRiHAAAAHAJxTgAAADgEopxAAAA\nwCUU4wAAAIBLKMYBAAAAl1CMAwAAAC6hGAcAAABcQjEOAAAAuCTc7QnAPdP7NXV7CkFh//79qlWr\nltvTcB05WORgkYNFDhY5WOTgF6xZxNas6vYUSo1iPIS1j492ewpBYckvq9W+VTe3p+E6crDIwSIH\nixwscrDIwY8snOMxxhi3J4FTLyMjQ6mpqW5PAwAAoNJauXKlevfuXa4x6BkHAAAAXEIxjpC3ZMkS\nt6cQFMjBIgeLHCxysMjBIgc/snAOxTgAAADgEnrGQxQ94wAAAOVDzzgAAABQiVGMI+TR92aRg0UO\nFjlY5GCRg0UOfmThHIpxAAAAwCX0jIcoesYBAADKh55xAAAAoBKjGEfIo+/NIgeLHCxysMjBIgeL\nHPzIwjkU4wAAAIBL6BkPUfSMAwAAlA894wAAAEAlRjGOkEffm0UOFjlY5GCRg0UOFjn4kYVzKMYB\nAAAAl9AzHqLoGQcAACgfesYBAACASoxiHCGPvjeLHCxysMjBIgeLHCxy8CML51CMAwAAAC6hZzxE\n0TMOAABQPvSMAwAAAJUYxThCHn1vFjlY5GCRg0UOFjlY5OBHFs6hTSVEffPNN9q3b5/b0wAAAKi0\nateurY4dO5ZrDIpxAAAAwCW0qQAAAAAuoRgHAAAAXEIxDgAAALiEYhwAAABwCcU4AAAA4JJwtycA\nZ61Zs0bz5s2TJA0ZMkRt27Yt9bGlGSOYOZHFjBkztG3bNlWtWlXnn3++evToUeHzdlJpMvjxxx81\ne/ZstW7dWtdcc02ZxghmTmRR2deDVLocZs6cqe3bt8vr9Wr06NFq0KBBqccIVk7kEGrr4Y033tC6\ndesUFhamG2+8MWTXQ2E5hNp6kKRjx47p9ttv18CBA9W3b98yjRGsnMiixGvC4E/jxIkT5r777jO5\nubkmNzfX3H///cbr9Zb42NKOEcycyMIYY2bMmGF27959qqbtqNL+LFevXm2WL19uZs+eXeYxgpUT\nWRhTudeDMWX/eX733Xdm5syZ5RojmDiRgzGhux5+/PFH89xzz5VrjGDiRA7GhOZ6+PDDD8306dPN\nRx99VOYxgpETWRhT8jVBm8qfyI4dOxQXF6eqVauqatWqatCggXbs2FHiY7dv316qMYKZE1nkMZX0\no/hL+7Ns166datasWa4xgpUTWeSprOtBKvvPMzIyUuHh4eUaI5g4kUOeUFwPP/30kxISEso1RjBx\nIoc8obQecnNztWbNGnXq1KnMYwQrJ7LIU5I1QZvKn8jBgwcVFRWlWbNmSZKioqKUnZ2tuLi4Eh+b\n93VJxghmTmQRFxenyMhIPfnkk6pRo4ZGjBihhg0bnsJ7UT6lyaAixwgGTt2PyrwepLLnsGjRIvXr\n169cYwQTJ3KQQnM9TJw4UQcOHNDkyZPLPEawcSIHKfTWw0cffaS+ffsG/DfvP8N6kJzJQir5muDK\n+J9IzZo1dfjwYQ0bNkxDhw7VoUOHFBMTU6pjSzNGMHMiC0kaOXKkpkyZoiuvvFKvvPLKqbwL5ebE\nzzIU10NRKvN6kMqWw4oVKxQfH++7AvhnWBNO5CCF5nqYNGmSbr31Vj399NNlHiPYOJGDFFrr4fDh\nw1q7dq06dOhQ5jGCmRNZSCVfE1wZ/xNp2LBhQHvFjh07Cv0rrLBjvV5viccIZk5kcbKIiAhVqVKl\nYiZbQUqTQZ4/vpxWljGCkRNZnKwyrgep9Dn88ssv+uGHHzR8+PAyjxGMnMjhZKGyHvLUrl1bJ06c\nKNcYwaQ8OXi93nzbQ2E9rF27VseOHdMTTzyh3bt368SJE2rbtq3i4+Mr/XqQnMkiMTHRd0xxa8Jj\nKnODE/JZvXq1792/l19+udq1aydJ+vLLL1WtWjWlpqYWe2xh2ysbJ7J44oknlJWVperVq+v6669X\n/fr1T/G9KJ/SZPDuu+9q1apV2rdvn1q3bq0bb7yxyDEqGyeyqOzrQSpdDmPGjFG9evUUFhampKQk\njRw5ssgxKhMncgi19fD4448rOztb4eHhuu6663wv2Yfaeigsh1BbD3kyMzOVm5urtLS0IseobJzI\noqRrgmIcAAAAcAk94wAAAIBLKMYBAAAAl1CMAwAAAC6hGAcAAABcQjEOAAAAuIRiHAAAAHAJxTgA\nAADgkv8P+XyzYdgeJqIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1075f8a50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ysAdZ2IU8AgNNOAAAAOAwmnAAqIBZS3uQhT3Iwi7kERhowgEAAACH0YQDQAXM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\nAABw2P8BS3g1U8QEq1kAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108251b90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XJy8vT/v27dPZZ5/tc3t1+axZs0aff/65N5/K23fs2KEpU6YoKSlJklRSUqLb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\nEAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1075f8a90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Tqamp6tOnT5Er7wf73Zx77rlauHChbr/9diUmJmrAgAGaPn263yeQ4WQf6rGE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\n4wAAAAAAOEYzDgAAAACAY/8fcDOXeTN6DsUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10831c790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MLCxysMjBIgc4jUIfAAAAcCF69B1Gjz4AAEDw6NF3Djv6AAAAgAtR6CMk6DO0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\nAABciEIfAAAAcCEKfQAAAMCF/j+r2Ev7JK1bdgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10808a450>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10984b8d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x101c70ed0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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LF0uStmzZMmBx7ev6ZNcBwG1aW1tVffpY7A5a9wwmj4fucX19vR588EFjzjOS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\nAcyJyWGMTwa/AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1083aa190>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AgKtYtm3bThcBuEVDQ4OKi4udLgMAAMC1mpubNX/+/LjW4E4MAAAA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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108050510>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Y6QYAAABCBE03EKKYHzQvamte1Na8qC18oekGAAAAAoyZbpNjphsAAKDjmOkG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\nBNj/BwuOaBRogq4lAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10805d910>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = pd.DataFrame()\n",
      "q = \"In general, is itrude to bring a baby on a plane?\"\n",
      "travel_data = data.groupby(\"Location (Census Region)\")[q]\n",
      "for location, group in travel_data:\n",
      "    if location == \"Pacific\":\n",
      "        df['West Coast'] = group.value_counts(normalize=True)\n",
      "    else:\n",
      "        try:\n",
      "            df[\"Rest of Nation\"].append(group.value_counts(normalize=True))\n",
      "        except KeyError:\n",
      "            df[\"Rest of Nation\"] = group.value_counts(normalize=True)\n",
      "\n",
      "df.plot(kind='barh',title=q, figsize=(10.67,5.33))\n",
      "#title = \"charts/\" + \"01-\" + q.replace(\" \",\"_\") + \"_results_.png\"\n",
      "#plt.savefig(title,format=\"png\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rTfjly5f10Ucf6eOPP9aBAwfUsWNHSZK3t7cmTpyonj175vj4+fPnKzExUevX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\nzWjCAQAAAJvRhAMAAAA2+/87R0LY12TgdQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10919cdd0>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## helper functions here ##\n",
      "def create_all_graphs(data):\n",
      "    for index, question in enumerate(data.columns):\n",
      "        if question not in [\"RespondentID\",\"Questions\"]:\n",
      "            data.icol(index).value_counts(normalize=True).plot(kind='barh',title=question, figsize=(10.67,5.33) )\n",
      "            title = \"charts/\" + question.replace(\" \",\"_\") + \"_results.png\"\n",
      "            plt.savefig(title,format=\"png\")\n",
      "            plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 32
    }
   ],
   "metadata": {}
  }
 ]
}