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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Reddit.com: Design and Most Popular Subreddits"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "*by Anton Tarasenko <antontarasenko@gmail.com> <http://antontarasenko.com>*\n",
      "\n",
      "Reddit's selection of the items for the main menus substantially impacts the popularity of subreddits. "
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "The data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "pylab.rcParams['figure.figsize'] = (12.0, 9.0)\n",
      "pylab.rcParams.update({'font.size': 16})\n",
      "\n",
      "import pandas as pd\n",
      "\n",
      "df = pd.read_csv('top_100.csv')\n",
      "\n",
      "df.head()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "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>subreddit</th>\n",
        "      <th>subscribers</th>\n",
        "      <th>subscribers13</th>\n",
        "      <th>in_horiz_menu</th>\n",
        "      <th>in_dropdown_menu</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>funny</th>\n",
        "      <td>         funny</td>\n",
        "      <td> 8491543</td>\n",
        "      <td> 3997640</td>\n",
        "      <td>  True</td>\n",
        "      <td> True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>announcements</th>\n",
        "      <td> announcements</td>\n",
        "      <td> 8478507</td>\n",
        "      <td> 3931064</td>\n",
        "      <td> False</td>\n",
        "      <td> True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>AskReddit</th>\n",
        "      <td>     AskReddit</td>\n",
        "      <td> 8473368</td>\n",
        "      <td> 3751470</td>\n",
        "      <td>  True</td>\n",
        "      <td> True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>pics</th>\n",
        "      <td>          pics</td>\n",
        "      <td> 8409451</td>\n",
        "      <td> 3921652</td>\n",
        "      <td>  True</td>\n",
        "      <td> True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>todayilearned</th>\n",
        "      <td> todayilearned</td>\n",
        "      <td> 8343499</td>\n",
        "      <td> 3614904</td>\n",
        "      <td>  True</td>\n",
        "      <td> True</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 1,
       "text": [
        "                   subreddit  subscribers  subscribers13 in_horiz_menu  \\\n",
        "funny                  funny      8491543        3997640          True   \n",
        "announcements  announcements      8478507        3931064         False   \n",
        "AskReddit          AskReddit      8473368        3751470          True   \n",
        "pics                    pics      8409451        3921652          True   \n",
        "todayilearned  todayilearned      8343499        3614904          True   \n",
        "\n",
        "              in_dropdown_menu  \n",
        "funny                     True  \n",
        "announcements             True  \n",
        "AskReddit                 True  \n",
        "pics                      True  \n",
        "todayilearned             True  "
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Variables:\n",
      "\n",
      "* `subscribers`: The number of subscribers on 2015-05-07\n",
      "* `subscribers13`: The number of subscribers in 2013\n",
      "* `in_horiz_menu`: Is the subreddit in the Reddit's horizontal menu?\n",
      "* `in_dropdown_menu`: Is the subreddit in the dropdown (main) menu?"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "What's wrong?"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "The numbers of subscribers for the top 53 subreddits steadly decline..."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df['subscribers'][:54].plot(kind='line', title='Top 53 Subreddits by Subscribers')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x106671470>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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A8cljP1A0rhF4kObVeFYg+udHEOcIFAwievwLq/HMB3wEnEfzajoQa9RPJVbQ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\nMzMzMzMzMyuV/w/CGSz2FfUhrgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10544ac18>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "... as well as the numbers of subscribers after the 53-th subscriber"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df['subscribers'][55:].plot(kind='line', title='Top 54-100 Subreddits by Subscribers')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x106758be0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MdWjJuOMJxfqKwOSy77EmPeoARxwBffvC8cfX5O4lSZLURKrZo74QMJJwBP3D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\nNKIVi0lSFCUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10544aac8>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "But between the 54th and 55th subreddits you'll find a discontinuity:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df['subscribers'][50:60].plot(kind='bar', title='Subreddits from 50th to 60th')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x1069af470>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Ku4gEKXqADF1IktYvR24kSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmy\ni8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gES\nKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1I\nktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/\nOWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ou\nKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0D\nJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYv\nZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfo\np5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo\n7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJa\nB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+gl\nSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nC\nLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK\n3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0ik\ntA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKk\nBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoK\nu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUb\nekmSJGn0mJPwAAAgAElEQVSOOUM/OWfop5nCLmoKu4gEKXqADF1IktYvZ+glSZKkBeWGfiGU1gES\nKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/OWfop5nCLmoKu4gEKXqADF1I\nktYvZ+glSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QRvY50Fmyi8ouKruo7KLK3oUbekmSJGmOOUM/\nOWfop5nCLmoKu4gEKXqADF1IktavlWbo95ptFEnSrtpvvwO48srLW8dg333354orLmsdQ5LUceRm\nIZTWARIprQMkUloHSKS0DjAVsZm/YcKPcya+jwxPKqYh+0zsLNlFZReVXVTZu3BDL0mSJM0xZ+gn\n5wz9NFPYRU1hF5EgRQ9gF33tu5Ck9cbz0EuSJEkLyg39QiitAyRSWgdIpLQOkEhpHSCR0jpAGtln\nYmfJLiq7qOyiyt6FG3pJkiRpjjlDPzln6KeZwi5qCruIBCl6ALvoa9+FJK03k8zQPxb4e+DrwFXA\nhcApwM3H1u0PvAm4BPgR8BHg7gP3tw/wSuA73f2dB9xvKDNwHLAV+DGwBfjNZTIe2+W6uvv8jGXW\nPRq4oLu/rcDxDH//9+1yXdXlfHWXW5IkSUpntQ39c4FrgT8BHgr8JfAsYsM+eoawB/B+4CHAs4HH\nAHsTJzu+/dj9vRk4BjgBeDixYf4wcNjYupcBJwKv7x7308C7gIeNrTsWOK277Yju8xuAZ46tOwJ4\nN3B+d3+ndhlOGVt3j+57+26X7wTgaOB0UiutAyRSWgdIpLQOkEhpHSCR0jpAGtlnYmfJLiq7qOyi\nyt7Fau8U+wjg0t7ljwOXAW8DlohN+6OAXwUeCJzbrfsU8DXgj4HndNcdBjyB2CC/rXd/XwBeAhzZ\nXXcr4HnEZvs13XXnAncCXg6c3ct+MvB24EW9dbcDXkr8xuC67vqXA5+gbvTPJX7LcALwWuB73fUn\nEb+NeBzw0+77u6bL+2fEEX5JkiQpjV2ZoT+E2IT/FvA3xFH3hwB3GFt3OrHp39hdfhGxgb4FMR4z\nspn4DcC+xG8DfovYQN8ZuKi3bhPwFuCOwMXEqM65wIOBj/bWLQEfAx5EHIq6Q7f+2C7ryEbgq8Bv\nd1n3Bq4AXkV9ggAxbrONeFKwmR05Qz/NFHZRU9hFJEjRA9hFX/suJGm9mfZ56B/Qff5S9/luwOcH\n1n0ROBC4WW/dV9l+Mz9ad2PiCPxo3U/YfjM/WgdwaG8dA489WnfIKuu2EnPyo3UHAzcZWHd1l+UQ\nJEmSpGR2dkN/e2I85iPAZ7rrDgAuH1h7Wfd5/zWuO2AX1jGwdq3rRtft7LqESusAiZTWARIprQMk\nUloHSKS0DpBG9pnYWbKLyi4qu6iyd7EzG/qbA+8jZsqP7l2/O37vOqvTaXraTkmSJM211V4UO3JT\n4kw2G4mRm2/3blvu6PX4Ee/LiRGc5dZd1lu3YY3rIH4D8L01rhu3YY3rDgA+N3A9AJs2bWLjxo1x\nhxs2cPjhh7O0tATUZ3SrXa5Gl5d28vJ0vn6teXfX5ZppZ/NP6+tHl1lT3t3fx67mX+o+Jvl6fpap\n1fc/vb8f07nc/udhlGnS74dVbl/b17fuYxp9Zvj5znB5aWkpVR4v57k8kiVPq8uj62b5+Fu2bGHb\ntm0AbN26lZWs5Qj13sS56O9LvAD1n8duX+lFsQ8gXsQK8GLi3O+rvSj2Kd3Xrvai2PsT/3dZ7kWx\no7PuHEjMyy/3otjRWXduDPyQ4RfFXk68KPYkduSLYqeZwi5qCruIBCl6ALvoa9+FJK03k7wo9kbE\nmWyWiDdmGt/MA5xFzNbfv3fdfsAju9v66/YGHt+7bi/gKOJc9Nd2153d/feTxh7nycRR8ou7y+cB\nP1hm3aXAJ7vLXwc+u8y6a6inwbwG+FCXb8/euscSL5Y9i7RK6wCJlNYBEimtAyRSWgdIpLQOkMb4\nEcj1zC4qu6jsosrexWojN39BbGhPJt5h9d69274BfIvY6H4KOAN4PnGKx+OIw0iv6K3fArwDeB2x\nsd9KvEnVQcT56UcuIc4/fxxwJXHu96OII+6P7K27jjiS/oYux0eJU1UeTbzB1XW9tS8EPkC8CdWZ\nwD2J3xacCny/t24z8SZW7+zud2P3PbwLz0EvSZKkhFYbufkaMbIytG4zccYbiLnzVxFH8fchjp7/\nETvOne9DPDl4IjG/vgV4AfEGU303Ijb0xwK3AS7sHus9AzmeTryj7UHE0fvXEhv3cb9BvPvsXYl3\ngn1Tl2X898b3I95E6p7Ek5O/I54QjJ9uc8SRm2mmsIuawi4iQYoewC762nchSevNSiM3nuVlcm7o\np5nCLmoKu4gEKXoAu+hr34UkrTfTfmMppVNaB0iktA6QSGkdIJHSOkAipXWANLLPxM6SXVR2UdlF\nlb0LN/SSJEnSHHPkZnKO3EwzhV3UFHYRCVL0AHbR174LSVpvHLmRJEmSFpQb+oVQWgdIpLQOkEhp\nHSCR0jpAIqV1gDSyz8TOkl1UdlHZRZW9Czf0kiRJ0hxzhn5yztBPM4Vd1BR2EQlS9AB20de+C0la\nb5yhlyRJkhaUG/qFUFoHSKS0DpBIaR0gkdI6QCKldYA0ss/EzpJdVHZR2UWVvQs39JIkSdIcc4Z+\ncs7QTzOFXdQUdhEJUvQAdtHXvgtJWm+coZckSZIWlBv6hVBaB0iktA6QSGkdIJHSOkAipXWANLLP\nxM6SXVR2UdlFlb0LN/SSJEnSHHOGfnLO0E8zhV3UFHYRCVL0AHbR174LSVpvnKGXJEmSFpQb+oVQ\nWgdIpLQOkEhpHSCR0jpAIqV1gDSyz8TOkl1UdlHZRZW9Czf0kiRJ0hxzhn5yztBPM4Vd1BR2EQlS\n9AB20de+C0lab5yhlyRJkhaUG/qFUFoHSKS0DpBIaR0gkdI6QCKldYA0ss/EzpJdVHZR2UWVvQs3\n9JIkSdIcc4Z+cs7QTzOFXdQUdhEJUvQAdtHXvgtJWm+coZckSZIWlBv6hVBaB0iktA6QSGkdIJHS\nOkAipXWANLLPxM6SXVR2UdlFlb0LN/SSJEnSHHOGfnLO0E8zhV3UFHYRCVL0AHbR174LSVpvnKGX\nJEmSFpQb+oVQWgdIpLQOkEhpHSCR0jpAIqV1gDSyz8TOkl1UdlHZRZW9Czf0kiRJ0hxzhn5yztBP\nM4Vd1BR2EQlS9AB20de+C0lab5yhlyRJkhaUG/qFUFoHSKS0DpBIaR0gkdI6QCKldYA0ss/EzpJd\nVHZR2UWVvQs39JIkSdIcc4Z+cs7QTzOFXdQUdhEJUvQAdtHXvgtJWm+coZckSZIWlBv6hVBaB0ik\ntA6QSGkdIJHSOkAipXWANLLPxM6SXVR2UdlFlb0LN/SSJEnSHHOGfnLO0E8zhV3UFHYRCVL0AHbR\n174LSVpvnKGXJEmSFpQb+oVQWgdIpLQOkEhpHSCR0jpAIqV1gDSyz8TOkl1UdlHZRZW9Czf0kiRJ\n0hxzhn5yztBPM4Vd1BR2EQlS9AB20de+C0lab5yhlyRJkhaUG/qFUFoHSKS0DpBIaR0gkdI6QCKl\ndYA0ss/EzpJdVHZR2UWVvQs39JIkSdIcc4Z+cs7QTzOFXdQUdhEJUvQAdtHXvgtJWm+coZckSZIW\nlBv6hVBaB0iktA6QSGkdIJHSOkAipXWANLLPxM6SXVR2UdlFlb0LN/SSJEnSHHOGfnLO0E8zhV3U\nFHYRCVL0AHbR174LSVpvnKGXJEmSFpQb+oVQWgdIpLQOkEhpHSCR0jpAIqV1gDSyz8TOkl1UdlHZ\nRZW9Czf0kiRJ0hxzhn5yztBPM4Vd1BR2EQlS9AB20de+C0lab5yhlyRJkhaUG/qFUFoHSKS0DpBI\naR0gkdI6QCKldYA0ss/EzpJdVHZR2UWVvQs39JIkSdIcc4Z+cs7QTzOFXdQUdhEJUvQAdtHXvgtJ\nWm+coZckSZIWlBv6hVBaB0iktA6QSGkdIJHSOkAipXWANLLPxM6SXVR2UdlFlb0LN/SSJEnSHHOG\nfnLO0E8zhV3UFHYRCVL0AHbR174LSVpvnKGXJEmSFpQb+oVQWgdIpLQOkEhpHSCR0jpAIqV1gDSy\nz8TOkl1UdlHZRZW9Czf0kiRJ0hxzhn5yztBPM4Vd1BR2EQlS9AB20de+C0lab5yhlyRJkhaUG/qF\nUFoHSKS0DpBIaR0gkdI6QCKldYA0ss/EzpJdVHZR2UWVvQs39JIkSdIcc4Z+cs7QTzOFXdQUdhEJ\nUvQAdtHXvgtJWm8mnaH/BeDPgU8BVwHXAweOrdnYXT/0sd/Y2n2AVwLf6e7vPOB+Q7mB44CtwI+B\nLcBvLpPxWOBC4Oru8zOWWfdo4ILu/rYCxzPcwX27XFd1OV/d5ZYkSZJSWcuG/k7A44BLgY+vsvYU\n4N5jHz8aW/Nm4BjgBODhxIb5w8BhY+teBpwIvB54KPBp4F3Aw8bWHQuc1t12RPf5DcAzx9YdAbwb\nOL+7v1O7DKeMrbsH8BHgu12+E4CjgdNX/M6bKq0DJFJaB0iktA6QSGkdIJHSOkAa2WdiZ8kuKruo\n7KLK3sVea1hzLnCb7r+PAR6ywtqvAv+8wu2HAU8gNshv6677OPAF4CXAkd11twKeR2y2X9PLcSfg\n5cDZvfwnA28HXtRbdzvgpcCbgOu6618OfIK60T8XuDmxYX8t8L3u+pOArxNPYn4KnANc0+X9M+II\nvyRJkpTCWo7Q78yg5Goz+Y8CrgXe0bvup8CZxBH0vbvrRv99xtjXnwH8EnBQd/k+wC0H1v018HPE\n6AzAHYgnE0Pr9qYe9d+bOHr/zi7XyLuITf2RpLTUOkAiS60DJLLUOkAiS60DJLLUOkAaS0tLrSOk\nYReVXVR2UWXvYtpnuflTYsO+DXgfcPex2+9GHMW/euz6LwI3Jo7Aj9b9BLhoYB3Aob11AJ9fZt0h\nq6zbSszJj9YdDNxkYN3VXZZDkCRJkhKZ1ob+auCNwNOJwz/PI46knwf8Ym/dAcDlA19/We/2nV3H\nwNq1rhtdt7PrkimtAyRSWgdIpLQOkEhpHSCR0jpAGtlnYmfJLiq7qOyiyt7FWmbo1+K7wLN6lz8J\nfIiYjT8eeMou3OesTqnpqTslSZI0t6a1oR/yTeCfgHv1rrucHU95CfXI92W9dRvWuA5gf+qLWldb\nN27DGtcdAHxu4Ho2bdrExo0b4842bODwww//2azV6Bndaper0eWlnbw8na9fa97ddblm2tn80/r6\n0WXWlHf397Gr+Ze6j0m+np9lavX9T+/vx3Qut/95GGWa9PthldvX9vWt+5hGnxl+vjNcXlpaSpXH\ny3kuj2TJ0+ry6LpZPv6WLVvYtm0bAFu3bmUlO3t0+hjgr4jzzn99Des/CNyROnv+YuKI/S3Yfo5+\nM/AnwL7EDP5TiNNE3pnt5+g3AW/p7vNi4P7E/2EeDHy0t24J+BjwQOJsNgcS8/LHEqfNHNlIzPSP\nzrpzY+CHwKuoZ82BOAf95cSZck4a+x59Y6lpprCLmsIuIkGKHsAu+tp3IUnrzaRvLLWrDiTOMnN+\n77qziDPJPL533V7AUcS56K/trju7++8njd3nk4mj5Bd3l88DfrDMukuJ0R+IJx+fXWbdNdTTYF5D\njAo9Htizt+6xxItlzxr6RtsrrQMkUloHSKS0DpBIaR0gkdI6QBrjRyDXM7uo7KKyiyp7F2sduXls\n9/lXus//k9hIf584j/yridM8nk+Mr/wi8S6v1xHniR/ZQpyy8nXExn4rMXt/EHF++pFLiPPPHwdc\nSZz7/SjiiPsje+uuI46kvwH4FnGU/kHEEfdnU89BD/BC4APEm1CdCdyT+G3Bqd33MbKZeBOrd3b3\nuxF4BXHqSs9BL0mSpFTWOnJzfe+/b+h9XaFuoJ9FnHby5sTR8Y8S4yn/MXZf+xCb/CcS8+tbgBew\n47vQ3ojY0B9LvLHVhcSbT71nIN/TgecSTwwuJt4o6rSBdb9BvPvsXYkX8r6pyzL+u+P7EW8idU/i\nFJx/RzwhGD/dJjhyM90UdlFT2EUkSNED2EVf+y4kab1ZaeTGM7xMzg39NFPYRU1hF5EgRQ9gF33t\nu5Ck9abVDL1mprQOkEhpHSCR0jpAIqV1gERK6wBpZJ+JnSW7qOyisosqexdu6CVJkqQ55sjN5By5\nmWYKu6gp7CISpOgB7KKvfReStN44ciNJkiQtKDf0C6G0DpBIaR0gkdI6QCKldYBESusAaWSfiZ0l\nu6jsorKLKnsXbuglSZKkOeYM/eScoZ9mCruoKewiEqToAeyir30XkrTeOEMvSZIkLSg39AuhtA6Q\nSGkdIJHSOkAipXWARErrAGlkn4mdJbuo7KKyiyp7F27oJUmSpDnmDP3knKGfZgq7qCnsIhKk6AHs\noq99F5K03jhDL0mSJC0oN/QLobQOkEhpHSCR0jpAIqV1gERK6wBpZJ+JnSW7qOyisosqexdu6CVJ\nkqQ55gz95Jyhn2YKu6gp7CISpOgB7KKvfReStN44Qy9JkiQtKDf0C6G0DpBIaR0gkdI6QCKldYBE\nSusAaWSfiZ0lu6jsorKLKnsXbuglSZKkOeYM/eScoZ9mCruoKewiEqToAeyir30XkrTeOEMvSZIk\nLSg39AuhtA6QSGkdIJHSOkAipXWARErrAGlkn4mdJbuo7KKyiyp7F27oJUmSpDnmDP3knKGfZgq7\nqCnsIhKk6AHsoq99F5K03jhDL0mSJC0oN/QLobQOkEhpHSCR0jpAIqV1gERK6wBpZJ+JnSW7qOyi\nsosqexdu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KKvfReStN44Qy9JkiQtKDf0C6G0DpBIaR0g\nkdI6QCKldYBESusAaWSfiZ0lu6jsorKLKnsXbuglSZKkOeYM/eScoZ9mCruoKewiEqToAeyir30X\nkrTeOEMvSZIkLSg39AuhtA6QSGkdIJHSOkAipXWARErrAGlkn4mdJbuo7KKyiyp7F27oJUmSpDnm\nDP3knKGfZgq7qCnsIhKk6AHsoq99F5K03jhDL0mSJC0oN/QLobQOkEhpHSCR0jpAIqV1gERK6wBp\nZJ+JnSW7qOyisosqexdu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KKvfReStN44Qy9JkiQtKDf0\nC6G0DpBIaR0gkdI6QCKldYBESusAaWSfiZ0lu6jsorKLKnsXbuglSZKkOeYM/eScoZ9mCruoKewi\nEqToAeyir30XkrTeOEMvSZIkLSg39AuhtA6QSGkdIJHSOkAipXWARErrAGlkn4mdJbuo7KKyiyp7\nF27oJUmSpDnmDP3knKGfZgq7qCnsIhKk6AHsoq99F5K03jhDL0mSJC0oN/QLobQOkEhpHSCR0jpA\nIqV1gERK6wBpZJ+JnSW7qOyisosqexdu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KKvfReStN44\nQy9JkiQtKDf0C6G0DpBIaR0gkdI6QCKldYBESusAaWSfiZ0lu6jsorKLKnsXbuglSZKkOeYM/eSc\noZ9mCruoKewiEqToAeyir30XkrTeOEMvSZIkLSg39AuhtA6QSGkdIJHSOkAipXWARErrAGlkn4md\nJbuo7KKyiyp7F27oJUmSpDnmDP3knKGfZgq7qCnsIhKk6AHsoq99F5K03jhDL0mSJC0oN/QLobQO\nkEhpHSCR0jpAIqV1gERK6wBpZJ+JnSW7qOyisosqexdu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB\n7KKvfReStN44Qy9JkiQtKDf0C6G0DpBIaR0gkdI6QCKldYBESusAaWSfiZ0lu6jsorKLKnsXbugl\nSZKkOeYM/eScoZ9mCruoKewiEqToAeyir30XkrTeOEMvSZIkLSg39AuhtA6QSGkdIJHSOkAipXWA\nRErrAGlkn4mdJbuo7KKyiyp7F27oJUmSpDm2lhn6XwBeAPw34DBgH2Aj8PWxdfsDrwSOBG4KfAr4\nQ+DzY+v2AV4KPBm4BbClu/9PDGT7E+AZwK2BLwMvAd4zkPFY4Lldrq3Aa4E3Dqx7NHAicFfge8D/\nBv4UuH5s3X2BVwCHAz8E/hY4Hrh64D6doZ9mCruoKewiEqToAeyir30XkrTeTDpDfyfgccClwMeX\newzg/cBDgGcDjwH2Bs4Bbj+29s3AMcAJwMOB7wAfJp4s9L2M2Hy/Hngo8GngXcDDxtYdC5zW3XZE\n9/kNwDPH1h0BvBs4v7u/U7sMp4ytuwfwEeC7Xb4TgKOB05f53iVJkqTU+s8EjiGOZh84tubI7voH\n9K7bj3gScGrvusO6dU/tXbcncCHwvt51twJ+Qmzo+/4R+Gzv8l7A94G3jq17M3BJd/vIBcQTjL4X\ndY9z69517yV+G7Bn77rf6nLfkx3dMCngBrhhgo9zJvz6yJCBXVR2Ma0e7GIRu5iGc845p3WENOyi\nsovKLqoMXcT/A4at5Qj9sl/c8yjgW8C5veuuII7aHzm27lrgHb3rfgqcSRxB37u7bvTfZ4w9zhnA\nLwEHdZfvA9xyYN1fAz9HjM4A3IF4MjG0bm/qUf+9iaP37+xyjbwLuGbse5EkSZKam9aLYu/GjrPy\nAF8kjubfrLfuq+w4i/5F4MbEeM9o3U+AiwbWARzaW8fAY4/WHbLKuq3AVb11BwM3GVh3dZflEFJa\nah0gkaXWARJZah0gkaXWARJZah0gjaWlpdYR0rCLyi4qu6iydzGtDf0BwOUD11/Wfd5/jesO2IV1\nDKxd67rRdTu7TpIkSUphWhv6tYzl7KxZvYvtArxbbmkdIJHSOkAipXWARErrAImU1gHSyH5e6Vmy\ni8ouKruosncxrQ39ckevx494r7bust66DWtcB/U3ADu7ju5x1rLugN46SZIkKYW9Vl+yJl8gTlk5\n7lDgYmJOfbTu0cS56K8eW3cN8JXeupsQM+0Xja2DOiP/he7z3Ynzyq9l3fm9dRuJ+f7RuouI2f27\ns/0Ld/cB7jh23c9s2rSJjRs3ArBhwwYOP/zwn81ajZ7RrXa5Gl1e2snL0/n6tebdXZdrpp3NP62v\nH11mTXl3fx+7mn+p+5jk6/lZplbf//T+fkzncvufh1GmSb8fVrl9bV/fuo9p9Jnh5zvD5aWlpVR5\nvJzn8kiWPK0uj66b5eNv2bKFbdu2AbB161ZWsrPjJscAf8WObyx1JHG6xyXquer3A75GnFnmOd11\nhwOfATYBb++u2wv4HPDv1LPI/DzwTeBk4s2kRv6xu+2w3td+G/gA8Nu9dW/q7uu2wHXddRcQR+Af\n1Ft3QvdxIHH6S7rv49DuY3Smmyd3eX+lu5++7kxCuy7Hm8XkeKMYu+ilsItIkKIHsIu+9l1I0noz\n6RtLATy2+/iV7vL/7C7fv7t8FvHOsGcARxGnnTyL+D/PK3r3s4U4yv064GnArxGnrDyI7c85fwnw\nGuA44t1ml4C/BB7YXTdyHXEu+acS7z67RDwBOBp4MXUzD/BC4jz5p3Xr/pB499dTqZt5gM3EBv+d\nXb6ndWvexY6b+SRK6wCJlNYBEimtAyRSWgdIpLQOkMb4Ecj1zC4qu6jsosrexVpHbt7Z++8biHdi\nhfg/w4O66x4BvKq7bR/gPGID/q2x+zqaOPL+MmJ+fQtx7vctY+uOB35EHN2/DfHmU48DPji27o3d\n4z8XeD4x4vO7xMa972ziSciJxG8IvtvlOHls3WeJ8aE/I478bwPeRjwhkCRJklJZgDO8NOfIzTRT\n2EVNYReRIEUPYBd97buQpPVmGiM3kiRJkhJyQ78QSusAiZTWARIprQMkUloHSKS0DpBG9pnYWbKL\nyi4qu6iyd+GGXpIkSZpjztBPzhn6aaawi5rCLiJBih7ALvradyFJ640z9JIkSdKCckO/EErrAImU\n1gESKa0DJFJaB0iktA6QRvaZ2Fmyi8ouKruosnfhhl6SJEmaY87QT84Z+mmmsIuawi4iQYoewC76\n2nchSeuNM/SSJEnSgnJDvxBK6wCJlNYBEimtAyRSWgdIpLQOkEb2mdhZsovKLiq7qLJ34YZekiRJ\nmmPO0E/OGfppprCLmsIuIkGKHsAu+tp3IUnrjTP0kiRJ0oJyQ78QSusAiZTWARIprQMkUloHSKS0\nDpBG9pnYWbKLyi4qu6iyd+GGXpIkSZpjztBPzhn6aaawi5rCLiJBih7ALvradyFJ640z9JIkSdKC\nckO/EErrAImU1gESKa0DJFJaB0iktA6QRvaZ2Fmyi8ouKruosnfhhl6SJEmaY87QT84Z+mmmsIua\nwi4iQYoewC762nchSeuNM/SSJEnSgnJDvxBK6wCJlNYBEimtAyRSWgdIpLQOkEb2mdhZsovKLiq7\nqLJ34YZekiRJmmPO0E/OGfppprCLmsIuIkGKHsAu+tp3IUnrjTP0kiRJ0oJyQ78QSusAiZTWARIp\nrQMkUloHSKS0DpBG9pnYWbKLyi4qu6iyd+GGXpIkSZpjztBPzhn6aaawi5rCLiJBih7ALvradyFJ\n640z9JIkSdKCckO/EErrAImU1gESKa0DJFJaB0iktA6QRvaZ2Fmyi8ouKruosnexV+sAkiTtrP32\nO4Arr7y8dQz23Xd/rrjistYxJK1zztBPzhn6aaawi5rCLiJBih7ALvrsomrfhaT1wRl6SZIkaUG5\noV8IpXWARErrAImU1gESKa0DJFJaB0iktA6QRvb54Fmyi8ouquxduKGXJEmS5pgz9JNzhn6aKeyi\nprCLSJCiB7CLPruo2nchaX1whl6SJElaUG7oF0JpHSCR0jpAIqV1gERK6wCJlNYBEimtA6SRfT54\nluyisosqexdu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KLPLqr2XfgmW9L6sNIMvRv6ybmhn2YK\nu6gp7CISpOgB7KLPLiq7qNp3IS0yXxS78ErrAImU1gESKa0DJFJaB0iktA6QSGkdIJHSOkAa2Wel\nZwNaU4cAACAASURBVMkuquxduKGXJEmS5pgjN5Nz5GaaKeyiprCLSJCiB7CLPruo7KJq34W0yBy5\nkSRJkhaUG/qFUFoHSKS0DpBIaR0gkdI6QCKldYBESusAiZTWAdLIPis9S3ZRZe/CDb0kSZI0x5yh\nn5wz9NNMYRc1hV1EghQ9gF302UVlF1X7LqRFttIM/V6zjSJJkrR7+CZbWq8cuVkIpXWARErrAImU\n1gESKa0DJFJaB0iktA6QSGkdYCpiM3/DhB/nTHwfGZ5UTEP2ufFZyt6FG3pJkiRpjjlDPzln6KeZ\nwi5qCruIBCl6ALvos4vKLiq7qNp3ocXjeeglSZKkBeWGfiGU1gESKa0DJFJaB0iktA6QSGkdIJHS\nOkAipXWARErrAGlknxufpexduKGXJEmS5pgz9JNzhn6aKeyiprCLSJCiB7CLPruo7KKyi6p9F1o8\nnodekiRpHfGc/OuLIzcLobQOkEhpHSCR0jpAIqV1gERK6wCJlNYBEimtAyRSWgeYCs/JP13O0EuS\nJEnabZyhn5wz9NNMYRc1hV1EghQ9gF302UVlF5VdVHZRte9iUcaPnKGXJEnSulTHj1rn2H3H0R25\nWQildYBESusAiZTWARIprQMkUloHSKS0DpBIaR0gkdI6QCKldYBESusAK3JDL0mSJM0xZ+gn5wz9\nNFPYRU1hF5EgRQ9gF312UdlFZReVXVR2UU3WxUoz9B6hlyRJkuaYG/qFUFoHSKS0DpBIaR0gkdI6\nQCKldYBESusAiZTWARIprQMkUloHSKS0DrAiN/SSJEnSHHOGfnLO0E8zhV3UFHYRCVL0AHbRZxeV\nXVR2UdlFZReVM/SSJEmSBrihXwildYBESusAiZTWARIprQMkUloHSKS0DpBIaR0gkdI6QCKldYBE\nSusAK3JDL0mSJM2xaW3ol4DrBz4uG1u3P/Am4BLgR8BHgLsP3N8+wCuB7wBXAecB9xtYtwdwHLAV\n+DGwBfjNZTIeC1wIXN19fsYy6x4NXNDd31bgeNI/8VlqHSCRpdYBEllqHSCRpdYBEllqHSCRpdYB\nEllqHSCRpdYBEllqHSCRpdYBVjTtjervAffuffx677Y9gPcDDwGeDTwG2Bs4B7j92P28GTgGOAF4\nOLGx/zBw2Ni6lwEnAq8HHgp8GngX8LCxdccCp3W3HdF9fgPwzLF1RwDvBs7v7u/ULsMpq3/rkiRJ\n0uxN6yw3S8DHiA38x5ZZcyTwXuCBwLnddfsBXwPOAJ7TXXcYcYT8aOBt3XV7Al8AvtzdD8CtgG8Q\nm+2Teo/zj8DPUzf/ewHfBv6hu8+RNwOPAm4LXNdddwGwrcs48iJiU38g8L2B7yvBWW4Kkz9zbP8q\ndLCL7VLYRSSYytkJCnYxUrCLkYJdjBTsYqRgFyMFuxgptO5ilme5WekJwqOAb1E38wBXEEftjxxb\ndy3wjt51PwXOJI6g791dN/rvM8Ye5wzgl4CDusv3AW45sO6vgZ8D7ttdvgPxJGBo3d7seNRfkiRJ\nam7aG/q/IY52/6D77zv0brsb8PmBr/kicfT7Zr11XyVm3cfX3Ri4U2/dT4CLBtYBHNpbx8Bjj9Yd\nssq6rcQc/yGktdQ6QCJLrQMkstQ6QCJLrQMkstQ6QCJLrQMkstQ6QCJLrQMkstQ6QCJLrQOsaK8p\n3c824FXE0fcrgF8GXgh8Crgn8SLYA4iN+rjRC2f3JzbOBwCXr7DugN7nta5jYO1a142uO2DgekmS\nJKmpaR2h3wL8MTGn/gnixaQPBW5NvFB2d5nVO90mf0fd0jpAIqV1gERK6wCJlNYBEimtAyRSWgdI\npLQOkEhpHSCR0jpAIqV1gBVN6wj9kAuAfwf+e3d5uaPc40fGLydGcJZbd1lv3YY1roP4DcD31rhu\n3AZ2PAXnz2zatImNGzfGwg0bOPzww1laWgKglAKw6uVqdHlpJy5v2cn1Q5fZqby763LNtKvfz5ad\nXL/cZdaUd/f3sav5p3U5MrX6/qfz92MaX79zefP+/Sgs1r8Xu5p/dHkx/r3oJdjF/NO67L8X/cvt\n/36MMu1afv+9GL88+38vtmzZwrZt2wDYunUrK9ndR56/CFxMvKD0LcCD2X6uHuB04AHAHbvLLybO\n/X4Ltp+j3wz8CbAv8aLZp3Rfe2e2n6Pf1D3WHbvHvj/R4oOBj/bWLRFn5BmddedAYl7+WOIMOCMb\niVGh/ll3+hKc5WYa2r8KHexiuxR2EQlS9AB20WcXlV1UdlHZRWUX1fyc5abvvwF3Ic7pDvA+4nzz\n9++t2Q94JHBW77qziLPKPL533V7AUcS56K/trju7++8njT3uk4HPEZt5iDel+sEy6y4FPtld/jrw\n2WXWXdM9niRJkpTKtEZuzgC+Qvw+4grihbDHAd8k3vQJYqP+qW7t84kX0h5HPGV6Re++thCnrHwd\nsbHfCjyLOA3lE3rrLgFe093HlcSIz1HEEfdH9tZdR5xL/g3EaTM/CjyIOOL+bOo56CFeyPsB4k2o\nzuy+j+OJ1wR8f6camalC/1ee61vBLkYKdjFSsIuRgl2MFOxipGAXIwW7GCnYxUghcxfT2tB/nths\n/wFx+snvEO+4eiJ19vwG4BHE2XDeAOxDHD1/ILHR7jsaOJl4J9gNxCb/odQBppHjgR8Rb0p1G+BC\n4HHAB8fWvbF7/OcSTyYuBn6X2Lj3nQ08tsu9Cfhul+Pk1SuQJEmSZi/52VvmgjP000xhFzWFXUSC\nFD2AXfTZRWUXlV1UdlHZRTWfM/SSJEmSdjM39AuhtA6QSGkdIJHSOkAipXWARErrAImU1gESKa0D\nJFJaB0iktA6QSGkdYEVu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KLPLiq7qOyisovKLipn6CVJ\nkiQNcEO/EErrAImU1gESKa0DJFJaB0iktA6QSGkdIJHSOkAipXWARErrAImU1gFW5IZekiRJmmPO\n0E/OGfppprCLmsIuIkGKHsAu+uyisovKLiq7qOyicoZekiRJ0gA39AuhtA6QSGkdIJHSOkAipXWA\nRErrAImU1gESKa0DJFJaB0iktA6QSGkdYEVu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KLPLiq7\nqOyisovKLipn6CVJkiQNcEO/EErrAImU1gESKa0DJFJaB0iktA6QSGkdIJHSOkAipXWARErrAImU\n1gFW5IZekiRJmmPO0E/OGfppprCLmsIuIkGKHsAu+uyisovKLiq7qOyicoZekiRJ0gA39AuhtA6Q\nSGkdIJHSOkAipXWARErrAImU1gESKa0DJFJaB0iktA6QSGkdYEVu6CVJkqQ55gz95Jyhn2YKu6gp\n7CISpOgB7KLPLiq7qOyisovKLipn6CVJkiQNcEO/EErrAImU1gESKa0DJFJaB0iktA6QSGkdIJHS\nOkAipXWARErrAImU1gFW5IZekiRJmmPO0E/OGfppprCLmsIuIkGKHsAu+uyisovKLiq7qOyicoZe\nkiRJ0gA39AuhtA6QSGkdIJHSOkAipXWARErrAImU1gESKa0DJFJaB0iktA6QSGkdYEVu6CVJkqQ5\n5gz95Jyhn2YKu6gp7CISpOgB7KLPLiq7qOyisovKLipn6CVJkiQNcEO/EErrAImU1gESKa0DJFJa\nB0iktA6QSGkdIJHSOkAipXWARErrAImU1gFW5IZekiRJmmPO0E/OGfppprCLmsIuIkGKHsAu+uyi\nsovKLiq7qOyicoZekiRJ0gA39AuhtA6QSGkdIJHSOkAipXWARErrAImU1gESKa0DJFJaB0iktA6Q\nSGkdYEVu6CVJkqQ55gz95Jyhn2YKu6gp7CISpOgB7KLPLiq7qOyisovKLipn6CVJkiQNcEO/EErr\nAImU1gESKa0DJFJaB0iktA6QSGkdIJHSOkAipXWARErrAImU1gFW5IZekiRJmmPO0E/OGfppprCL\nmsIuIkGKHsAu+uyisovKLiq7qOyicoZekiRJ0gA39AuhtA6QSGkdIJHSOkAipXWARErrAImU1gES\n+b/t3Xe4HFX9x/F3CikYakKHSBFUusHQhBAQFOmCiBQBQRAE7KIQJEAAqaJg+ylClKIigtJJgCxE\nKSolECECSS5ESiChhUASyOb3x2f2mbl7d++9MblzZud8Xs+zz93dWX2+OezOnDnne76nEjqAAqmE\nDqBAKqEDKJBK6AA65Q69mZmZmVkLcw79knMO/dKMwm2RRuG2UASFaAdwW2S5LVJui5TbIuW2SLkt\nUs6hNzMzMzOzBtyhL4VK6AAKpBI6gAKphA6gQCqhAyiQSugACqQSOoACqYQOoEAqoQMokEroAAqk\nEjqATrlDb2ZmZmbWwpxDv+ScQ780o3BbpFG4LRRBIdoB3BZZbouU2yLltki5LVJui5Rz6M3MzMzM\nrAF36EuhEjqAAqmEDqBAKqEDKJBK6AAKpBI6gAKphA6gQCqhAyiQSugACqQSOoACqYQOoFPu0JuZ\nmZmZtTDn0C8559AvzSjcFmkUbgtFUIh2ALdFltsi5bZIuS1SbouU2yLlHHozMzMzM2vAHfpSqIQO\noEAqoQMokEroAAqkEjqAAqmEDqBAKqEDKJBK6AAKpBI6gAKphA6gQCqhA+iUO/RmZmZmZi3MOfRL\nzjn0SzMKt0UahdtCERSiHcBtkeW2SLktUm6LlNsi5bZIOYfezMzMzMwacIe+FCqhAyiQSugACqQS\nOoACqYQOoEAqoQMokEroAAqkEjqAAqmEDqBAKqEDKJBK6AA65Q69mZmZmVkLcw79knMO/dKMwm2R\nRuG2UASFaAdwW2S5LVJui5TbIuW2SLktUs6hNzMzMzOzBtyhL4VK6AAKpBI6gAKphA6gQCqhAyiQ\nSugACqQSOoACqYQOoEAqoQMokEroAAqkEjqATrlDb2ZmZmbWwpxDv+ScQ780o3BbpFG4LRRBIdoB\n3BZZbouU2yLltki5LVJui5Rz6M3MzMzMrAF36EuhEjqAAqmEDqBAKqEDKJBK6AAKpBI6gAKphA6g\nQCqhAyiQSugACqQSOoACqYQOoFPu0JuZmZmZtTDn0C8559AvzSjcFmkUbgtFUIh2ALdFltsi5bZI\nuS1SbouU2yLlHHozMzMzM2vAHfpSqIQOoEAqoQMokEroAAqkEjqAAqmEDqBAKqEDKJBK6AAKpBI6\ngAKphA6gQCqhA+iUO/RmZmZmZi3MOfSNrQNcAuyK2ugu4BvAjAafdQ790ozCbZFG4bZQBIVoB3Bb\nZLktUm6LlNsi5bZIuS1SzqHP07LAPcBGwOHAF4ENgQnJMTMzMzOzwnCHvqNjgPWA/YCbksc+wAeB\nrwSMqxOV0AEUSCV0AAVSCR1AgVRCB1AgldABFEgldAAFUgkdQIFUQgdQIJXQARRIJXQAnXKHvqN9\ngAeAaZn32oC/A/uGCKhrj4UOoEDcFim3RcptkXJbpNwWKbdFym2Rclukit0W7tB3tAkwucH7TwIb\n5xxLN70ROoACcVuk3BYpt0XKbZFyW6TcFim3RcptkSp2W7hD39FKwOsN3n8tOWZmZmZmVhju0JdC\nW+gACqQtdAAF0hY6gAJpCx1AgbSFDqBA2kIHUCBtoQMokLbQARRIW+gACqQtdACdctnKjl4GbgSO\nr3v/58ABwGp17z8GbJFDXGZmZmYWr0nAlo0O9M05kFbwb2DTBu9vjPLo6zVsWDMzMzMzC+PrwHuo\ndGXNusAC4JshAjIzMzMzs+5bFngGeByVsNwHTXE8izeWMjMzMzNrCesA1wNvAm8BNwBDg0ZkZmZm\nZtaAF8W2nl7AotBBFFgvYGVgduhALJhPoBKztySvBwM/Q3tMjANOBhaGCS2YdZLHgAbH7sk5lpAG\nAUcDI9B54lg0I3sw8CgwJVxoFkgfVPHvvcx7u6PzxT3oe2FmttTNAE4H1gwdSAEcC3w383oz4AWg\nCjwMrB4iqEA+DGyTeT0QOA+4GTgpSEThTARGZ15fgWbbbgDmot9PLNYHHkS/iUaPmG5s1kE7gM9H\nKZVVYFhy7FfA5YHiCuETwF6Z14OBPwBPABejTm4srgN+l3l9HOnvYz6wW4igAukFHAncCTwFTE8e\n0zJ/Y1A7Ny6k4/nyfbQv0Xjg06ECtHIYC7yDRhNuJO4v1OO076yOR7v8fg2tefh1iKACGQ9ckHn9\nI7SQ+xF0AjoxRFCBvEraWemH0uaOTl5/A12oYnEPusk9CfgUMLLBIxbXoUpl66IKb9kO/aHA02HC\nCsI3vann0AxNzVR07Vge+D0wIURQgfwA/S4eR//2sXWPK8OElbsz0fdiJvpt/DD5OzN5/8dobeVC\nYO9AMVpJrIg6rf9GP76pwPeBVUIGFcCbwK7J8xVRB3bP5PUhwPMhggpkJrBf8rwPMAv4VvJ6NDr5\nxOJdYMfk+Q7oN7Jq8nondEMciznA50IHURCvA59Pntd36EeijmwsfNObyp4vNkTfi9reMp8mrvTN\nNtRZjd0pQIWOKYoDgXuBUeg6eztwf66RWantCFyNTkrzgD8COweNKD9zgF2S53uhDn2tEtEI1B6x\nmIc6rwAfRxeldZLXI4G3A8QUylTSmZuz0WhTzX7oZicWT6NKXaYO++7J8/oO/b5ogCAWvulNzQQ+\nmzz/MrrZqdmVuG70stfUmD2PzgmN7ItSn0GbjRbm+9E7dAC2xO5H06ST0EjLXsDdwD+BjwaMKw/P\nko4yHYTaonYhWgPlucViJhpdAuV8TiU96QxCaTexuBY4F1Wq+ja64a35GFoEGYsfAt9D34HYPUHz\n2Yrd0bqbWLxIuini7ihV8ZXk9UrE1aG/H/1G9kJ7zdyWObYB8N8QQQVyH+nsRMyGAMs0OdYvOQ6a\nvXFxGVtiQ4ExKD92IXAHGonrizp0k1GnvswOQf/22WiE6YDMsV+iNonFZcDLwEWoPc7NHPs+yqWP\nRV80JXoLygXO7oj9V9JUpFhcjEYdb0aL/+ofsdgfnScuR6OQVeCLwFloTdJnwoWWuzFoNPZ6NFp/\ncubYmcADIYIKZCN0k19Fg0TZTSUnoNzxWHwI3fgegTqtvRs8YjARtUN98ZG1UN9qYvL6CPSdMfuf\n7APcikZcZwEXolGEervRvgxXWe0AfAel2GSdBeyRfzjBDEILuZ5Ai3c+kDn2AKp4Y/H5EuqovI9u\n/qdnHm3J35gch1JrspUr3kQVs2Lim96OhtBxtHVz4lqb1qwaVmxVsYahNTfvopu6P6Kc+vlo5v9j\nyefGoBvgQvBUQeupopH3n6MyY/ObfG4DtGL9yHzCMiuczdGN3mBUlvAlNAL1CloEGIM2NDtzFPBG\n2FAKYxCwHcoZn41SLmL5Pph15owuji+iQB3YHjYE3dhui1J4X0QlgH9EQRdKu0PferYirlzPzvwD\nrReYAPyNuPI+601HCz4bVbPZFLgJ1SSPQX/gGpRiAboIDUcd2xvQQtHvhwktd3PRrN7doQOxQor1\npnc0i7dB41k9FYiZGSi/azjxbjJ1Dbprrm0AMhGdeHdGC1diUgW2bnJseHI8Fheh6dJD0HR5tprJ\nMcBjgeIKYTxx7UFQb8RiPmLRH+XPZ1Mpar+RGyh/il5XqSX1DzOzHnEEmkrPnnCmowVeMfoI8FXg\nT2hkqYpG62Pa0r6zDv1xxFXx5wXSTmx9ecLdiCv15CNoXcVhaBQ2tkVui9NpiyU/GHzTm7UJqgp2\nMio2MQD4IKp88yzlrxZXrz+a7T0Zra+of8Sg2Y652Z1zzZbYiejkOw5tBLJX8nd88n7Mo3HLofa4\nizhGVr6JSlPOQP/WmZnXtces5Ni1gWIMYR5pLeX6Dv2n0UKnWMTeiR2ZeeyHfhO3AYejco1HoM1h\nnieuev2+6U1NQBsJNXIqcQ0MrYk6rLHPVrTkjrl9u/6IFcy3gd+i6hVZv0FftG8DP805plAGoio3\nO6MO3FZoZP4+VPmm7Cfi6aS50YejxdL1mybNRzsKX55jXKG1AdvT+L//cOA/uUYTVle5v4uTR9yK\nKpnnvyUdCKHu/SvQmoub8gkruMHAk02O9UajtLHYGjinybF/AqflGEtoF6IStyOA59CC0FdRf+Mg\nNCASg6OBS9GuyWY95l3gU02OxTb6OA914MehRY7bEO9N6ljiWfTalVPQzriHopu+2ujjLij16Gvh\nQrOAXkejz418OjkeiymkHdX6EfrTiCvl5iXggibHLkiOx+J54PNAH/Sd2Cpz7FziueH1jrmWi3+i\nfPFGTkCVX2LxKkoZmIRKSe0NLB80ouKIqXZyvb6opGsV3fTV1lRU0ULq2Kt7rYwu1DGNwoLqzXd2\n7ixzVZd6vulNnY2uIz9HqVkfTf7+Inl/TKjAApgL7Jg8nwPsmjm2K/H8Rm5FKa1mPWp72t9Fk/w9\niHSKLBa90DbV30AjB6+jzbQeQlUams1klNVIlG5U68TOA+4FdgoYU0g7oqn0X6PvQ4zt8APgh5nX\nI9CFuoryyTcMEVQg16Lc8EbnzjeIa52Jb3pTfVCn/W3a54rPQSlrZV84nvUf4HPJ80koBafmFFR0\nIgbeMddyMYN0p8MF6Af2HumOhzNQh7/2Nya9UaettkC47Av+sg5E/96n0MXpxOTvFLRL6IHhQrOA\nptB+F9QHUHnXfYB/oR0QY7EK+rdX0Tkze+68D124Y+Ob3tRK6Ib3oOTvimHDCeL/UO44wPGkBThu\nI53FiEFLFhOI6S68LMYuxmcX0XHxbNksg2Yldkke26Aa9K+i6gVfCBdarp5CJdb2pX0lgj5oK/cN\niK/8Wi+0w9+ABsdiKTs2B6WiVdDOqC+hqfMJwAHAZcS3j8VuaKfYNVB73I8qY5nFbghKyXs6eX0S\nuoYOBO5AMxbzwoSWqzO6OB7TjrlmuRiPcv6qqLrLn9HI9MYhgwpkHvCZJsf2JI6TcM0QNPK8gBYa\nXekhb5Cmnh2A0iqWSV7vRFzfC2uvNxoAuAiV4ftg8v5I4rvJ64Nu8j6PKobVP8wKL9aKIFYO81BF\nhgrK94ulRm4jz6IR2EaGAM/kGEtov0azNZehnNAFYcMJ6km04dz9wFFoTcV7ybG1iScn1tpbCdXf\n3xrljn8A/V6eA75MXAtjNyadxWzmdznFYvY/c4e+NQ1Di91qeX7DgUfQ4rd70dRYDPYOHUCBjAJ+\nglJvspWOtkFTgzFtOLYzWihdyM0/cnYmWjB+KOrIZ+tI74HOG7Gooqny+lTT2nuLSBfLlt2F6IZu\nB3S+yN703oV2CY3Fz9F/9wOByWjvjpiNBA4G1qF9umLtN1LWco6no/1aXgRG0/UeHV3t8ZE7d+hb\nzw7ohDsNVWU4IXOsChxHPB160LTx3ujmZmWU+/YcOik9jX6cMfgOKkP4IFoMPRNYHZ2UZ6IL9Mmk\nJ+URYcLMxZvAy6GDKIg70dqJYcCjaIv7monEVW+80QV4MEpJ6sfirU9qdfsC30UzN/X9gBnovBGL\nYWit2Z9DB1IAX0HlOl9D18+YZjfPQH2nWoe+K4Xr0Fvr+RuaHuxNxw1BDkAn41ishDqwVVQfdyFp\nW1xNulo/BhW00LHSjceEXCPL3/fQqLQX/Vt39EXpJzHtCvkuaY3x+uvInigNJxbTgb1CB1EQT6Oy\npf1CB2KLzyP0rWcY6rhX6VgLdRZxbSjkaePUyNABFMj5KB/4SfQ9aLQD6Om5RpSvEWg0fg7dm4m5\nr2fDKbz3UdrFZcCPA8eSl6dR+lWj6j4jUA3uWFyCZrpvJ64F842shcpVxjQyXxru0LeeeaiEVCOr\no3SDWHja2BrZEy3s6w98uMlnytyhr6BSrv9InncmprzxzvRD6Tex+BnwU3S9qG2otRJaOH0S7fcu\nKLtVgI+gAYDxKN2kXpnPF1mPAOsDd4cOpCBaqvSxp6Rbz01oIWxtYcoC4ONoRO5OYDZa0BKDd1H+\n/F2oQ19ri0dQp+6PwKBg0eVvGVR6bW0an4CuyDecYKag6i0nEGeVm5HAw2iEfmQ3Pl/pwViKZGiD\n9/oBm6HZvhloQXUszkNrb7IzvVU0wzUqSERhdKc6Wiw7g26JbvCORwU2YjUE3fR+lsYD34UcCHGH\nvvVsgUak24A/oZGDS9EPcStU8WZKqOByNgntYvddOnboz0dTx9sFiy5fw4C/oM58M7FclN5BJ+I7\nQwdihdJZx20qmvF7MqdYimJdtNHWqmgwaBwFHHm0HjWD9tWflgeWQ3u8vE5aSKH2t9GNcdnciAZN\nL6f5oNDYPAPqDqfctJ5JaLvuC0lHUU5EFStGEE9nHjxtnPVLNCK7L3GOSmdNQtOklhqC0nAGA7eg\nzttA9D2JJW/4qAbvzUNVsf5BPO3QH1WBOgLN+P46bDgW2OKk13RVyrEsXPrYcjcQLWL5QOhAAjoP\nLWrL7gT6PnBOyKACmIvSjEyzVP9Gi6Vj1wvtBDqfdJfcWjWTO4knN9jae5V0B2FLd829mI675q4V\nKCYL5zma77xu1iMGoRNP7CWm1gWOQTMWx6FFPbGZhLYtN00hv0lazvT55L3s31icitaanIpudLLl\nCU8EHgoUl4X1a+BXoYMoCJc/tnotWfrYKTetaW+0qcEWaAqstlPsb9D02bXN/6el1IanjUehnYIf\nQqMLMetqCjmWaWNQtZ8xwLl0PN9PBT6Ue0T5mkD3/nuXfRfMerehMp1/RvnCL9Gxne7JO6hAXP44\n9WOUlvfFBseuQpsUfifXiMKIvfSx5WQ/NIIwDv2wsiNup+GFgDG7BF2MnkC1xWuPibjWeKzmk1Zu\nqd9A6JMoh7zMKrTfcO1F1AbT0Kjs9OT1i5R/w7WsahePWNYTgNKPjkyeN/qNzAkQUyhTgcObHDsM\neDbHWELaE81sdvYbKRyP0Lee0Wh19dHov98FmWOTga8GiClPVdqvyO9MIUtL9ZDvA19Hm4vNoeMJ\nJ6ZRaUu9iMoyNuqsbo46tGU2MvP8s2gEcjvapxptg0rcxrKpFKQ3ec3OozGdLwYB/21ybAAt/TbW\n6QAAHUJJREFUlnaxhNai+QzvC8SznuBi4J/EW/rYcjIPlRmDjqMJO6ERuTI7u4vHGOAOCnwX3UNe\nRpVuYrmB6crmKJ1gFhptfBWVed0sZFABnI/aYAf03aidLz6MOjGjw4WWu8mosksjRxLX7qjTUcpm\nI5sRV+nKSSjtBjpeU88HHggRVCAvoTS9Rr6MzqMxeAftpGzWo14BDkme1598Dqf5SEMMNgZuIJ1S\nbzZ1WEZvEU/+b1eGoxPybFSx4jw0qzUbVQP6eLDI8rcsSrmqkqaXTEUjThVUwjAW82heuWJPyp9+\nlFUFtm5yrLZ4OhbHot/DaaigQhWl2hyFziOHhQstd1eh88Tqde+vjq6psazPe4A0Dcusx1wDPI5W\n5mdH3AagBT0xLg5dH52I3kcpBl9Fu6bG5Hri2t2xM3eh38Jyde8vh1ItxuceUVh90SK3a9C//fdo\npDq2lMspwF8bvN8reT+mPTw669AfB7yWYyxF4PLHsh4ahX8Ldd4vSP6+hQYTY6kg59LHlov10A9r\nJhp9rKL8zylouiyWHDeANYFfoDSjWagawcCgEYWzPfA0GmXaCp146x+xeBvYv8mx/ZPjFp8voPPl\nZOAMtL39GejCvTA5XmbfRGVbZ6B2mJl5XXvMSo7FMhKbtS4ufwzqY/wOpXEuQINkY0lr88egJUsf\nx7TYo0zWQRei3dGW3bNQ3vjp6MtWdoOBU9BI/PtoMdtF6IcXq66myGNaIDwHjUDf0ODY/sBv6Th6\nb3HYFTgTpV0tA7yHFr+NZvF2zGxF+yUPUDribejakTUf3eBcjtJNLG59gE1RdZu5gWPJ09guji8C\nvpRDHIvFHfrW0g+NKt2NRplidCbakrkfGp0/l44XpRgd2Y3PjO3hGIriLmAFlAebvckbhH47b5Eu\nLC+7/ujm92BgKB1z5mO60cvqAwwhXTQdm7FoL5OYFr82M7STY1U0UhtT6cqsFVD61c649HHhuUPf\neuahLbtj/XHVRqLvQ7MRXZVXi2lhrMnWwL2ojvAtKBVtDWAPtEh0JMqxj8FPUOm129EgQH0VrEXo\nJtksVrVSyNC+T5QtjzwVVcIp4+66Y2h+HR2A9ru5irScpTdUKih36FvPo+giPTZwHKG00f7kU/sO\n15+Qajs/rpdDTEXSC1X7WRmNrDxJXDWlazZHF54RaAH5a6iTP4a4yhO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       "text": [
        "<matplotlib.figure.Figure at 0x106b79710>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "This discontinuity is caused by Reddit's design choices: "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df[:][50:60]"
     ],
     "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>subreddit</th>\n",
        "      <th>subscribers</th>\n",
        "      <th>subscribers13</th>\n",
        "      <th>in_horiz_menu</th>\n",
        "      <th>in_dropdown_menu</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>creepy</th>\n",
        "      <td>          creepy</td>\n",
        "      <td> 2828707</td>\n",
        "      <td>  141134</td>\n",
        "      <td>  True</td>\n",
        "      <td>  True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>UpliftingNews</th>\n",
        "      <td>   UpliftingNews</td>\n",
        "      <td> 2808352</td>\n",
        "      <td>   42540</td>\n",
        "      <td>  True</td>\n",
        "      <td>  True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>WritingPrompts</th>\n",
        "      <td>  WritingPrompts</td>\n",
        "      <td> 2709230</td>\n",
        "      <td>   10547</td>\n",
        "      <td>  True</td>\n",
        "      <td>  True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>TwoXChromosomes</th>\n",
        "      <td> TwoXChromosomes</td>\n",
        "      <td> 2675974</td>\n",
        "      <td>  142768</td>\n",
        "      <td>  True</td>\n",
        "      <td>  True</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>atheism</th>\n",
        "      <td>         atheism</td>\n",
        "      <td> 2087359</td>\n",
        "      <td> 2118004</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>woahdude</th>\n",
        "      <td>        woahdude</td>\n",
        "      <td>  787241</td>\n",
        "      <td>  328720</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>trees</th>\n",
        "      <td>           trees</td>\n",
        "      <td>  736871</td>\n",
        "      <td>  475744</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>leagueoflegends</th>\n",
        "      <td> leagueoflegends</td>\n",
        "      <td>  680038</td>\n",
        "      <td>  305868</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4chan</th>\n",
        "      <td>           4chan</td>\n",
        "      <td>  634853</td>\n",
        "      <td>  326503</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>programming</th>\n",
        "      <td>     programming</td>\n",
        "      <td>  611973</td>\n",
        "      <td>  450788</td>\n",
        "      <td> False</td>\n",
        "      <td> False</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "                       subreddit  subscribers  subscribers13 in_horiz_menu  \\\n",
        "creepy                    creepy      2828707         141134          True   \n",
        "UpliftingNews      UpliftingNews      2808352          42540          True   \n",
        "WritingPrompts    WritingPrompts      2709230          10547          True   \n",
        "TwoXChromosomes  TwoXChromosomes      2675974         142768          True   \n",
        "atheism                  atheism      2087359        2118004         False   \n",
        "woahdude                woahdude       787241         328720         False   \n",
        "trees                      trees       736871         475744         False   \n",
        "leagueoflegends  leagueoflegends       680038         305868         False   \n",
        "4chan                      4chan       634853         326503         False   \n",
        "programming          programming       611973         450788         False   \n",
        "\n",
        "                in_dropdown_menu  \n",
        "creepy                      True  \n",
        "UpliftingNews               True  \n",
        "WritingPrompts              True  \n",
        "TwoXChromosomes             True  \n",
        "atheism                    False  \n",
        "woahdude                   False  \n",
        "trees                      False  \n",
        "leagueoflegends            False  \n",
        "4chan                      False  \n",
        "programming                False  "
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Not being in the menus implies a free-times fall in popularity, as we see from the difference between \"TwoXChromosomes\" and \"woahdude\". Subreddit \"atheism\", which is between them, was excluded from the menus after 2012 ([snapshot](http://web.archive.org/web/20120908012325/http://www.reddit.com/))."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Data Sources"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The data is available on GitHub:\n",
      "\n",
      "```bash\n",
      "github.com_top.json\n",
      "reddit.com_dropdown.txt\n",
      "reddit.com_horizontal.txt\n",
      "redditlist.com.txt\n",
      "```\n",
      "\n",
      "Sources:\n",
      "\n",
      "* <http://redditlist.com/sfw>\n",
      "* <https://github.com/umbrae/reddit-top-2.5-million/blob/master/manifest.json>\n",
      "* <http://reddit.com/>\n"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}