data/attention-index-august.ipynb

{
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   "cell_type": "markdown",
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   "source": [
    "# Exploring data for the attention index\n",
    "\n",
    "The idea of the attention index is to provide a score that indicates the impact of an article, and can easily be aggregated by subject, publisher or other axis.\n",
    "\n",
    "The index comprises of two parts:\n",
    "\n",
    "- **promotion** how important the article was to the publisher, based on the extent to which they chose to editorially promote it\n",
    "- **response** how readers reacted to the article, based on social engagements\n",
    "\n",
    "The index will be a number between 0 and 100. 50% is driven by the promotion, and 50% by response:\n",
    "\n",
    "![Attention Index](../images/kaleida-attention-index-data-factors-chart.png)\n",
    "\n",
    "### Promotion Score\n",
    "\n",
    "The promotion score should take into account:\n",
    "\n",
    "- whether the publisher chose make the article a lead article on their primary front (30%)\n",
    "- how long the publisher chose to retain the article on their front (40%)\n",
    "- whether they chose to push the article on their facebook brand page (30%)\n",
    "\n",
    "It should be scaled based on the value of that promotion, so a popular, well-visited site should score higher than one on the fringes. And similarly a powerful, well-followed brand page should score higher than one less followed.\n",
    "\n",
    "### Response Score\n",
    "\n",
    "The response score takes into account the number of engagements on Facebook. \n",
    "\n",
    "\n",
    "\n",
    "The rest of this notebook explores how those numbers could work, starting with the response score because that is easier, I think."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
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       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed  https://www.theguardian.com/lifeandstyle/2017/...   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48  https://www.thetimes.co.uk/article/breastfeedi...   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810  http://www.huffingtonpost.com/entry/washington...   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5  http://www.huffingtonpost.com/entry/an-ounce-o...   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0  https://www.washingtonpost.com/news/retropolis...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed     Break down barriers to breastfeeding in the UK   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48         Breastfeeding ‘should be a school subject’   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810  Washington's Marijuana Legalization: The Kids ...   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5          An Ounce of Love Creates a Ton of Healing   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0  The only communications director booted faster...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed 2017-08-01 00:03:02.887   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48 2017-08-01 00:00:03.958   \n",
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       "092977d2eacec21b414928bf580d5caeb849e9c0 2017-08-01 00:03:09.289   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed 2017-08-01 00:00:02.000   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48 2017-08-01 00:00:03.958   \n",
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       "092977d2eacec21b414928bf580d5caeb849e9c0 2017-08-01 00:00:28.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed             294   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48              41   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810             122   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5               4   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0            1611   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed                    0.822802   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48                    0.112903   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810                    0.258134   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5                    0.016133   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0                   11.112903   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed        2017-08-01T08:32:01.637Z   \n",
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       "092977d2eacec21b414928bf580d5caeb849e9c0        2017-08-01T01:18:02.072Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed           20           220   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48           21            12   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810            7            70   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5            0             1   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0          198          1266   \n",
       "\n",
       "                                          fb_shares       publisher_name  \\\n",
       "id                                                                         \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed         54         The Guardian   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48          8            The Times   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810         45             HuffPost   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5          3             HuffPost   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0        147  The Washington Post   \n",
       "\n",
       "                                                publisher_id  mins_as_lead  \\\n",
       "id                                                                           \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed     theguardian_com             0   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48      thetimes_co_uk             0   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810  huffingtonpost_com             0   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5  huffingtonpost_com             0   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0  washingtonpost_com             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed            449   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48           1380   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810              0   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5              0   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0           1020   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed                   85.0   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48                  238.0   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810                    NaN   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5                    NaN   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0                   74.0   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed          False                  NaN   \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48          False                  NaN   \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810          False                  NaN   \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5          False                  NaN   \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0           True            5962099.0   \n",
       "\n",
       "                                                fb_brand_page_time  alexa_rank  \n",
       "id                                                                              \n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed                       NaN         142  \n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48                       NaN        6435  \n",
       "18c2ab6d72b11232f9df96b3748b26519368b810                       NaN         215  \n",
       "e798d89b959cf713fe3658c2ee296af4bc9361e5                       NaN         215  \n",
       "092977d2eacec21b414928bf580d5caeb849e9c0  2017-08-01T00:15:15.000Z         191  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(\"articles_2017-08-01_2017-08-31.csv\", index_col=\"id\", \\\n",
    "                   parse_dates=[\"published\", \"discovered\"])\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Response Score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The response score is a number between 0 and 50 that indicates the level of response to an article.\n",
    "\n",
    "\n",
    "\n",
    "Perhaps in the future we may choose to include other factors, but for now we just include engagements on Facebook. The maximum score of 50 should be achieved by an article that does really well compared with others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    148391.00\n",
       "mean       1542.71\n",
       "std       12427.44\n",
       "min           0.00\n",
       "50%          29.00\n",
       "75%         300.00\n",
       "90%        2085.00\n",
       "95%        5631.50\n",
       "99%       27998.00\n",
       "99.5%     46698.40\n",
       "99.9%    130402.22\n",
       "max     2362234.00\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.options.display.float_format = '{:.2f}'.format\n",
    "data.fb_engagements.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's a few articles there with 1 million plus engagements, let's just double check that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
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       "      <th>fb_brand_page_likes</th>\n",
       "      <th>fb_brand_page_time</th>\n",
       "      <th>alexa_rank</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>478a416c259d9028be1860e8b63518fae553fa8f</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/tina-fey-s...</td>\n",
       "      <td>Tina Fey Absolutely Destroys Nazis, Trump &amp; Pa...</td>\n",
       "      <td>2017-08-18 07:55:03.814</td>\n",
       "      <td>2017-08-18 07:46:45</td>\n",
       "      <td>1053024</td>\n",
       "      <td>971.27</td>\n",
       "      <td>2017-08-18T15:50:00.454Z</td>\n",
       "      <td>122164</td>\n",
       "      <td>815305</td>\n",
       "      <td>115555</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>huffingtonpost_com</td>\n",
       "      <td>0</td>\n",
       "      <td>1909</td>\n",
       "      <td>28.00</td>\n",
       "      <td>True</td>\n",
       "      <td>9683181.00</td>\n",
       "      <td>2017-08-18T12:30:59.000Z</td>\n",
       "      <td>215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01c376d7653532da2d4251733e10e3f400ca4afa</th>\n",
       "      <td>http://www.bbc.co.uk/news/entertainment-arts-4...</td>\n",
       "      <td>Sir Bruce Forsyth: TV legend dies aged 89</td>\n",
       "      <td>2017-08-18 15:36:07.209</td>\n",
       "      <td>2017-08-18 15:35:22</td>\n",
       "      <td>1033767</td>\n",
       "      <td>8477.44</td>\n",
       "      <td>2017-08-18T16:02:02.360Z</td>\n",
       "      <td>125104</td>\n",
       "      <td>695601</td>\n",
       "      <td>213062</td>\n",
       "      <td>BBC</td>\n",
       "      <td>bbc_co_uk</td>\n",
       "      <td>0</td>\n",
       "      <td>1134</td>\n",
       "      <td>55.00</td>\n",
       "      <td>True</td>\n",
       "      <td>43514982.00</td>\n",
       "      <td>2017-08-18T15:36:50.000Z</td>\n",
       "      <td>96</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3a62bf1003c686e38634844245aeb7a11f1c2be7</th>\n",
       "      <td>http://www.independent.co.uk/news/world/americ...</td>\n",
       "      <td>Trapped Mexican bakers make 'pan dulce' bread ...</td>\n",
       "      <td>2017-08-30 20:42:20.971</td>\n",
       "      <td>2017-08-30 18:47:44</td>\n",
       "      <td>2362234</td>\n",
       "      <td>2191.75</td>\n",
       "      <td>2017-08-31T03:50:01.773Z</td>\n",
       "      <td>80669</td>\n",
       "      <td>2064103</td>\n",
       "      <td>217462</td>\n",
       "      <td>The Independent</td>\n",
       "      <td>independent_co_uk</td>\n",
       "      <td>0</td>\n",
       "      <td>434</td>\n",
       "      <td>221.00</td>\n",
       "      <td>True</td>\n",
       "      <td>7368466.00</td>\n",
       "      <td>2017-08-30T23:01:00.000Z</td>\n",
       "      <td>386</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "478a416c259d9028be1860e8b63518fae553fa8f  http://www.huffingtonpost.com/entry/tina-fey-s...   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa  http://www.bbc.co.uk/news/entertainment-arts-4...   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7  http://www.independent.co.uk/news/world/americ...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "478a416c259d9028be1860e8b63518fae553fa8f  Tina Fey Absolutely Destroys Nazis, Trump & Pa...   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa          Sir Bruce Forsyth: TV legend dies aged 89   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7  Trapped Mexican bakers make 'pan dulce' bread ...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "478a416c259d9028be1860e8b63518fae553fa8f 2017-08-18 07:55:03.814   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa 2017-08-18 15:36:07.209   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7 2017-08-30 20:42:20.971   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "478a416c259d9028be1860e8b63518fae553fa8f 2017-08-18 07:46:45         1053024   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa 2017-08-18 15:35:22         1033767   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7 2017-08-30 18:47:44         2362234   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "478a416c259d9028be1860e8b63518fae553fa8f                      971.27   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa                     8477.44   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7                     2191.75   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "478a416c259d9028be1860e8b63518fae553fa8f        2017-08-18T15:50:00.454Z   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa        2017-08-18T16:02:02.360Z   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7        2017-08-31T03:50:01.773Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "478a416c259d9028be1860e8b63518fae553fa8f       122164        815305   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa       125104        695601   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7        80669       2064103   \n",
       "\n",
       "                                          fb_shares   publisher_name  \\\n",
       "id                                                                     \n",
       "478a416c259d9028be1860e8b63518fae553fa8f     115555         HuffPost   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa     213062              BBC   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7     217462  The Independent   \n",
       "\n",
       "                                                publisher_id  mins_as_lead  \\\n",
       "id                                                                           \n",
       "478a416c259d9028be1860e8b63518fae553fa8f  huffingtonpost_com             0   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa           bbc_co_uk             0   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7   independent_co_uk             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "478a416c259d9028be1860e8b63518fae553fa8f           1909   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa           1134   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7            434   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "478a416c259d9028be1860e8b63518fae553fa8f                  28.00   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa                  55.00   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7                 221.00   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "478a416c259d9028be1860e8b63518fae553fa8f           True           9683181.00   \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa           True          43514982.00   \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7           True           7368466.00   \n",
       "\n",
       "                                                fb_brand_page_time  alexa_rank  \n",
       "id                                                                              \n",
       "478a416c259d9028be1860e8b63518fae553fa8f  2017-08-18T12:30:59.000Z         215  \n",
       "01c376d7653532da2d4251733e10e3f400ca4afa  2017-08-18T15:36:50.000Z          96  \n",
       "3a62bf1003c686e38634844245aeb7a11f1c2be7  2017-08-30T23:01:00.000Z         386  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.fb_engagements > 1000000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_engagements.mode()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Going back to the enagement counts, we see the mean is 1,542, mode is zero, median is 29, 90th percentile is 2,085, 99th percentile is 27,998, 99.5th percentile is 46,698. The standard deviation is 12,427, significantly higher than the mean, so this is not a normal distribution. \n",
    "\n",
    "We want to provide a sensible way of allocating this to the 50 buckets we have available. Let's just bucket geometrically first:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L//Vfr6q4+NYTlNlhtHzYEGoNyTRO2oV9AACAk86gQQUaNKigQ+cYhqHKyodPUEafY4Xa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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x103011c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(data.fb_engagements, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Well that's not very useful. Almost everything will score less than 0 if we just do that, which isn't a useful metric.\n",
    "\n",
    "Let's start by excluding zeros."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vFvLaa+v00Ucf6sorJydVQyiUud/nuG2eDQ3xmBJqOvhAAAAAJM3j8WjixKv1/PMrO3Sd\nZVn6y19Wa8yY8V1UWStaPmyINEVkGofsxj4AAMAhZ+jQAg0dWtChawzDUHn53C6q6GvsUNvg8/hk\n8F4EAAAAIlDbEkrvLb/V0+kyAAAA4AIEagAAACAJ9C3YUButoYcaAAAAktihBgAAAJJCoLYh1COk\nVHqoAQAAIFo+bPF5U+VRwukyAAAA4AIEahsiTRHFjRanywAAAIALEKhtaIjHZIoPJQIAAIAealvS\nfRnyKs3pMgAAAOACBGobgv6gfFaG02UAAADABQjUNsQTzTJFDzUAAADoobYl3BjmYBcAAABIYoca\nAAAASAqB2obcQB+lWb2cLgMAAAAu0K5A/c4772jChAmSpOrqal122WUaN26cZs+eLdM0JUmLFi3S\n6NGjNXbsWL377rudNhYAAABws4MG6scff1y33XabmpqaJEkLFizQjBkz9PTTT8uyLK1Zs0ZVVVXa\ntGmTVq5cqYqKCs2ZM6dTxrpVuGGHmozdTpcBAAAAFzhooM7Ly9PChQvbvq6qqtKwYcMkScOHD9eG\nDRv0xhtvqLCwUIZhKDc3V4lEQrt27Up6rFvFzbgs7vIBAAAAteMuH0VFRdq6dWvb15ZlyTAMSVJG\nRobq6+sVjUYVDAbbxnz1eLJjDyY7O10pKd52/qidJ9ojW3uizR26JhTK7KJq4CTmFayB7o35B2sA\nko3b5nk8X29qx2IxZWVlKRAIKBaL7fN4ZmZm0mMPpq6uoaPld4ocb7piMjp0TTh88DcIOLSEQpnM\nazfHGujemH+wBrqXA7156vBdPgYNGqSNGzdKkiorK1VQUKChQ4dq3bp1Mk1TtbW1Mk1TOTk5SY91\nq4Z4TAk1OV0GAAAAXKDDO9TFxcUqKytTRUWF8vPzVVRUJK/Xq4KCAo0ZM0amaaq8vLxTxrpVpCnC\nwS4AAACQJBmWZR2yydCpP7Mkju2t5hZT105a0e5rlpSM6MKK4AT+1AfWQPfG/IM10L10assHpFB6\nb/mtnk6XAQAAABcgUAMAAABJ6HAPNaTaaA091AAAAJDEDjUAAACQFAK1DaEeIaXSQw0AAADR8mGL\nz5sqjxJOlwEAAAAXIFDbEGmKKG60OF0GAAAAXIBAbUNDPCZTfCgRAAAA9FDbku7LkFdpTpcBAAAA\nFyBQ2xD0B+WzMpwuAwAAAC5AoLYhnmiWKXqoAQAAQA+1LeHGMAe7AAAAQBI71AAAAEBSCNQ25Ab6\nKM3q5XQZAAAAcAECNQAAAJAEeqhtCDfsULNhOl0GAAAAXIBAbUPcjMviYBcAAACIlg9bWu9DHXC6\nDAAAALgAgdqG1pMS/U6XAQAAABeg5cOGhnhMCcWdLgMAAAAuQKC2IdIU4WAXAAAASKLlwxafxyeD\n9yIAAAAQgdqWUHpv+a2eTpcBAAAAFyBQAwAAAEmgb8GG2mgNPdQAAACQxA41AAAAkBQCtQ2hHiGl\n0kMNAAAA0fJhi8+bKo8STpcBAAAAFyBQ2xBpiihutDhdBgAAAFyAQG1DQzwmU3woEQAAAPRQ25Lu\ny5BXaU6XAQAAABewtUMdj8dVUlKimpoaeTwezZ07VykpKSopKZFhGBowYIBmz54tj8ejRYsWae3a\ntUpJSVFpaamGDBmi6urqdo91o6A/qJa9jU6XAQAAABewFahfffVVtbS06JlnntH69ev1wAMPKB6P\na8aMGTr11FNVXl6uNWvWKDc3V5s2bdLKlSu1bds2XXfddXruuee0YMGCdo91o3iiWabooQYAAIDN\nQN2vXz8lEgmZpqloNKqUlBS9/fbbGjZsmCRp+PDhWr9+vfr166fCwkIZhqHc3FwlEgnt2rVLVVVV\n7R6bk5PTeT9tJwk3hjnYBQAAAJJsBur09HTV1NTo3HPPVV1dnR555BFt3rxZhmFIkjIyMlRfX69o\nNKpgMNh23VePW5bV7rEHCtTZ2elKSfHa+RGSstXGNaFQZqfXAecxr2ANdG/MP1gDkGwG6t/+9rcq\nLCzUjTfeqG3btumKK65QPB5vez4WiykrK0uBQECxWGyfxzMzM+XxeNo99kDq6hrslJ+0IwN9tHN3\nx3qow+H6LqoGTgmFMpnXbo410L0x/2ANdC8HevNk6y4fWVlZbWG3Z8+eamlp0aBBg7Rx40ZJUmVl\npQoKCjR06FCtW7dOpmmqtrZWpmkqJyenQ2MBAAAAN7O1Q33llVeqtLRU48aNUzwe18yZMzV48GCV\nlZWpoqJC+fn5KioqktfrVUFBgcaMGSPTNFVeXi5JKi4ubvdYNwo37FCzYTpdBgAAAFzAsCzrkP10\nnVN/Ztn7T9kyTUvTJv2x3dcsKRnRhRXBCfypD6yB7o35B2uge+n0lo/uLugPymcFnC4DAAAALkCg\ntqH1pES/02UAAADABWz1UHd3DfGYEooffCAAAAAOewRqGyJNEQ52AQAAgCRaPmzxeXwyeC8CAAAA\nEahtCaX3lt/q6XQZAAAAcAECNQAAAJAE+hZsqI3W0EMNAAAASexQAwAAAEkhUNsQ6hFSKj3UAAAA\nEC0ftvi8qfIo4XQZAAAAcAECtQ2RpojiRovTZQAAAMAFCNQ2NMRjMsWHEgEAAEAPtS3pvgx5leZ0\nGQAAAHABArUNQX9QPivD6TIAAADgAgRqG+KJZpmihxoAAAD0UNsSbgxzsAsAAAAksUMNAAAAJIVA\nbUNuoI/SrF5OlwEAAAAXIFADAAAASaCH2oZwww41G6bTZQAAAMAFCNQ2xM24LA52AQAAgGj5sKX1\nPtQBp8sAAACACxCobWg9KdHvdBkAAABwAVo+bGiIx5RQ3OkyAAAA4AIEahsiTREOdgEAAIAkWj5s\n8Xl8MngvAgAAABGobQml95bf6ul0GQAAAHABAjUAAACQBPoWbKiN1tBDDQAAAElJBOpHH31Ur7zy\niuLxuC677DINGzZMJSUlMgxDAwYM0OzZs+XxeLRo0SKtXbtWKSkpKi0t1ZAhQ1RdXd3usQAAAICb\n2Wr52Lhxo9566y394Q9/0NKlS7V9+3YtWLBAM2bM0NNPPy3LsrRmzRpVVVVp06ZNWrlypSoqKjRn\nzhxJ6tBYNwr1CCmVHmoAAADI5g71unXrNHDgQF177bWKRqOaNWuWVqxYoWHDhkmShg8frvXr16tf\nv34qLCyUYRjKzc1VIpHQrl27VFVV1e6xOTk5nffTdhKfN1UeJZwuAwAAAC5gK1DX1dWptrZWjzzy\niLZu3aqpU6fKsiwZhiFJysjIUH19vaLRqILBYNt1Xz3ekbFuDNSRpojiRovTZQAAAMAFbAXqYDCo\n/Px8paamKj8/X36/X9u3b297PhaLKSsrS4FAQLFYbJ/HMzMz5fF42j32QLKz05WS4rXzIyRlazym\nhDr2ocRQ6MA/Cw5NzCtYA90b8w/WACSbgfrkk0/W73//e1111VXasWOHGhsbddppp2njxo069dRT\nVVlZqZ/85CfKy8vTvffeq0mTJmn79u0yTVM5OTkaNGhQu8ceSF1dg60fOlk9fBlqbOrYDnU4XN9F\n1cApoVAm89rNsQa6N+YfrIHu5UBvnmwF6p/97GfavHmzRo8eLcuyVF5erqOOOkplZWWqqKhQfn6+\nioqK5PV6VVBQoDFjxsg0TZWXl0uSiouL2z3WjYL+oFr2NjpdBgAAAFzAsCzrkL2hslPvCjNPHKi6\naJOunvybdl+zpGREF1YEJ7AzAdZA98b8gzXQvXT6DnV3F24Mc7ALAAAAJHH0OAAAAJAUArUNuYE+\nSrN6OV0GAAAAXIBADQAAACSBHmobwg071GyYTpcBAAAAFyBQ2xA347I6eLALAAAADk+0fNgQ9Afl\nswJOlwEAAAAXIFDbkO7LkFd+p8sAAACAC9DyYUNDPKaE4k6XAQAAABcgUNsQaYpwsAsAAAAk0fJh\ni8/jk8F7EQAAAIhAbUsovbf8Vk+nywAAAIALEKgBAACAJNC3YENttIYeagAAAEhihxoAAABICoHa\nhlCPkFLpoQYAAIBo+bDF502VRwmnywAAAIALEKhtiDRFFDdanC4DAAAALkCgtqEhHpMpPpQIAAAA\neqhtSfdlyKs0p8sAAACACxCobQj6g/JZGU6XAQAAABcgUNsQTzTLFD3UAAAAoIfalnBjmINdAAAA\nIIkdagAAACApBGobcgN9lGb1croMAAAAuACBGgAAAEgCPdQ2hBt2qNkwnS4DAAAALkCgtiFuxmVx\nsAsAAABEy4ctrfehDjhdBgAAAFyAQG1D60mJfqfLAAAAgAvQ8mFDQzymhOJOlwEAAAAXSGqH+h//\n+IfOOOMMffLJJ6qurtZll12mcePGafbs2TLN1g/tLVq0SKNHj9bYsWP17rvvSlKHxrpRpCmiuBF1\nugwAAAC4gO1AHY/HVV5errS0NEnSggULNGPGDD399NOyLEtr1qxRVVWVNm3apJUrV6qiokJz5szp\n8Fg38nl8MtjcBwAAgJII1HfffbfGjh2r3r17S5Kqqqo0bNgwSdLw4cO1YcMGvfHGGyosLJRhGMrN\nzVUikdCuXbs6NNaNQum95bd6Ol0GAAAAXMDWNusf//hH5eTk6PTTT9djjz0mSbIsS4ZhSJIyMjJU\nX1+vaDSqYDDYdt1Xj3dkbE5Ozn7ryM5OV0qK186PkByP0eFLQqHMLigETmNewRro3ph/sAYg2QzU\nzz33nAzD0GuvvaYtW7aouLh4n93kWCymrKwsBQIBxWKxfR7PzMyUx+Np99gDqatrsFN+0vbu2SrT\n6Nh9qMPh+i6qBk4JhTKZ126ONdC9Mf9gDXQvB3rzZKvlY9myZXrqqae0dOlSHXvssbr77rs1fPhw\nbdy4UZJUWVmpgoICDR06VOvWrZNpmqqtrZVpmsrJydGgQYPaPRYAAABws077ZF1xcbHKyspUUVGh\n/Px8FRUVyev1qqCgQGPGjJFpmiovL+/wWDcK9QipLtrkdBkAAABwAcOyrEP2DG2n/sySc/Jg7dzd\nqMmTH2/3NUtKRnRhRXACf+oDa6B7Y/7BGuheDtTywb3fbGi9D3WL02UAAADABQjUNjTEYzJ1yG7s\nAwAAoBMldVJid5Xuy5BXaU6XAQAAABcgUNsQ9AflszKcLgMAAAAuQKC2IZ5olil6qAEAAEAPtS3h\nxnCHD3YBAADA4YkdagAAACAJBGobcgN9lGb1croMAAAAuACBGgAAAEgCPdQ2hBt2qNkwnS4DAAAA\nLkCgtiFuxmVxsAsAAABEy4ctrfehDjhdBgAAAFyAQG1D60mJfqfLAAAAgAvQ8mFDQzymhOJOlwEA\nAAAXIFDbEGmKcLALAAAAJNHyYYvP45PBexEAAACIQG1LKL23/FZPp8sAAACACxCoAQAAgCTQt2BD\nbbSGHmoAAABIYocaAAAASAqB2oZQj5BS6aEGAACAaPmwxedNlUcJp8sAAACACxCobYg0RRQ3Wpwu\nAwAAAC5AoLahIR6TKT6UCAAAAHqobUn3ZcirNKfLAAAAgAsQqG0I+oPyWRlOlwEAAAAXIFDbEE80\nyxQ91AAAAKCH2pZwY5iDXQAAACCJHWoAAAAgKQRqG3IDfZRm9XK6DAAAALgAgRoAAABIgq0e6ng8\nrtLSUtXU1Ki5uVlTp05V//79VVJSIsMwNGDAAM2ePVsej0eLFi3S2rVrlZKSotLSUg0ZMkTV1dXt\nHutG4YYdajZMp8sAAACAC9gK1C+88IKCwaDuvfdeRSIRXXTRRfrxj3+sGTNm6NRTT1V5ebnWrFmj\n3Nxcbdq0SStXrtS2bdt03XXX6bnnntOCBQvaPdaN4mZcFge7AAAAQDYD9TnnnKOioiJJkmVZ8nq9\nqqqq0rBhwyRJw4cP1/r169WvXz8VFhbKMAzl5uYqkUho165dHRqbk5PTST9q5wn6g6pviDtdBgAA\nAFzAVqDOyGg91CQajWr69OmaMWOG7r77bhmG0fZ8fX29otGogsHgPtfV19fLsqx2jz1QoM7OTldK\nitfOj5Acf0ANDQ0duiQUyuyiYuAk5hWsge6N+QdrAFIS96Hetm2brr32Wo0bN06jRo3Svffe2/Zc\nLBZTVlaWAoGAYrHYPo9nZmbK4/G0e+yB1NV1LNR2lrSmqBLq2A51OFzfRdXAKaFQJvPazbEGujfm\nH6yB7uXVCZjAAAAHlklEQVRAb55s3eVj586dmjhxom6++WaNHj1akjRo0CBt3LhRklRZWamCggIN\nHTpU69atk2maqq2tlWmaysnJ6dBYN4o0RRQ3ok6XAQAAABewtUP9yCOPaM+ePVq8eLEWL14sSbr1\n1ls1b948VVRUKD8/X0VFRfJ6vSooKNCYMWNkmqbKy8slScXFxSorK2vXWDfyeXxqNrnLBwAAACTD\nsqxD9nYVTv2ZJefkwdq5u1GTJz/e7muWlIzoworgBP7UB9ZA98b8gzXQvXR6ywcAAACAVrY/lNid\n1UZrZBqH7MY+AAAAOhE71AAAAEASCNQ2hHqElGr1dLoMAAAAuAAtHzb4vKnyKOF0GQAAAHABArUN\nrfehbnG6DAAAALgAgdqGhnhMpvhQIgAAAOihtiXdlyGv0pwuAwAAAC5AoLYh6A/KZ2U4XQYAAABc\ngEBtQzzRLFP0UAMAAIAealvCjWEOdgEAAIAkdqgBAACApBCobcgN9FGa1cvpMgAAAOACBGoAAAAg\nCfRQ2xBu2KFmw3S6DAAAALgAgdqGuBmXxcEuAAAAEC0ftrTehzrgdBkAAABwAQK1Da0nJfqdLgMA\nAAAuQMuHDQ3xmBKKO10GAAAAXIBAbUOkKcLBLgAAAJBEy4ctPo9PBu9FAAAAIAK1LaH03vJbPZ0u\nAwAAAC5AoAYAAACSQN+CDbXRGnqoAQAAIIkdagAAACApBGobQj1CSqWHGgAAAKLlwxafN1UeJZwu\nAwAAAC5AoLYh0hRR3GhxugwAAAC4AIHahoZ4TKb4UCIAAADoobYl3Zchr9KcLgMAAAAu4KodatM0\ndfvtt+ujjz5Samqq5s2bp6OPPtrpsr4l6A+qZW+j02UAAADABVy1Q/3yyy+rublZy5cv14033qi7\n7rrL6ZK+UzzRLFP0UAMAAMBlO9RvvPGGTj/9dEnSiSeeqPfff9/hir5buDHMwS4AAACQ5LJAHY1G\nFQgE2r72er1qaWlRSoqryrRl4l2vdGj8kpIRXVQJAAAAOpOrkmogEFAsFmv72jTNA4bpUCjz+yjr\n23a1tnu86Myrw0UcW4NwDdZA98b8gzUAyWU91EOHDlVlZaUk6e2339bAgQMdrggAAAA4MMOyLNc0\nA391l4+PP/5YlmXpzjvv1DHHHON0WQAAAMB+uSpQAwAAAIcaV7V8AAAAAIcaAjUAAACQBAI1AAAA\nkARX3TbvUHCoHI+O9rn44ovb7n1+1FFHacyYMZo/f768Xq8KCws1bdq0/c7522+/ndRYOOedd97R\nr3/9ay1dulTV1dUqKSmRYRgaMGCAZs+eLY/Ho0WLFmnt2rVKSUlRaWmphgwZ0mVj8f3732vggw8+\n0JQpU9S3b19J0mWXXabzzjuPNXCYisfjKi0tVU1NjZqbmzV16lT179+f3wNIjoUOWb16tVVcXGxZ\nlmW99dZb1q9+9SuHK4Jde/futS688MJ9Hrvgggus6upqyzRNa/LkyVZVVdV+5zzZsXDGY489Zp1/\n/vnWpZdealmWZU2ZMsV6/fXXLcuyrLKyMuull16y3n//fWvChAmWaZpWTU2Ndckll3TpWHy/vrkG\nVqxYYT355JP7jGENHL6effZZa968eZZlWVZdXZ11xhln8HsASaPlo4MOlePRcXAffvihGhsbNXHi\nRF1++eXavHmzmpublZeXJ8MwVFhYqA0bNnznnEej0aTHwhl5eXlauHBh29dVVVUaNmyYJGn48OFt\n81hYWCjDMJSbm6tEIqFdu3Z12Vh8v765Bt5//32tXbtW48ePV2lpqaLRKGvgMHbOOefo+uuvlyRZ\nliWv18vvASSNQN1B+zseHYeetLQ0TZo0SU8++aTmzJmjW265RT169Gh7PiMjQ/X19d855998zM5Y\nOKOoqGifE1gty5JhGJL2P49fPd5VY/H9+uYaGDJkiGbNmqVly5bpRz/6kR566CHWwGEsIyNDgUBA\n0WhU06dP14wZM/g9gKQRqDuoo8ejw7369eunCy64QIZhqF+/fsrMzFQkEml7PhaLKSsr6zvn/JuP\n2RkLd/B4vv41uL95jMViyszM7LKxcNbIkSM1ePDgtn9/8MEHrIHD3LZt23T55Zfrwgsv1KhRo/g9\ngKQRqDuI49EPH88++6zuuusuSdKXX36pxsZGpaen6/PPP5dlWVq3bp0KCgq+c84DgYB8Pl9SY+EO\ngwYN0saNGyVJlZWVbfO4bt06maap2tpamaapnJycLhsLZ02aNEnvvvuuJOm1117Tcccdxxo4jO3c\nuVMTJ07UzTffrNGjR0vi9wCSx0mJHcTx6IeP5uZm3XLLLaqtrZVhGLrpppvk8Xh05513KpFIqLCw\nUDNnztzvnL/99ttJjYVztm7dqhtuuEErVqzQZ599prKyMsXjceXn52vevHnyer1auHChKisrZZqm\nbrnlFhUUFHTZWHz//vcaqKqq0ty5c+Xz+XTEEUdo7ty5CgQCrIHD1Lx58/Qf//Efys/Pb3vs1ltv\n1bx58/g9ANsI1AAAAEASaPkAAAAAkkCgBgAAAJJAoAYAAACSQKAGAAAAkkCgBgAAAJJAoAYAAACS\nQKAGAAAAkkCgBgAAAJLw/wC8CTJCovBLzwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10caf9be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "non_zero_fb_enagagements = data.fb_engagements[data.fb_engagements > 0]\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(non_zero_fb_enagagements, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's still a big number at the bottom, and so not a useful score.\n",
    "\n",
    "Next, we exclude the outliers: cap at the 99.9th percentile (i.e. 119211), so that 0.1% of articles should receive the maximum score.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DbgaXYRiNzy84mF0/evEO7Kd9B2s1ZsyJb49XEDNWUsPb5y3PHmpJttPd6fYjubaCujgT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\nMNBQAwAAAGH4/4GyfyZweXpHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108508630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "non_zero_fb_enagagements_without_outliers = non_zero_fb_enagagements.clip_upper(119211)\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(non_zero_fb_enagagements_without_outliers, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a bit better, but still way too clustered at the low end. Let's look at a log normal distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QUEDXrl1ZsGAZdeqE8P3339K//yACA2syduzE6+K5ukKcnDzb3Gfjxg0l2uzc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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10faabe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "ninety = data.fb_engagements.quantile(.90)\n",
    "ninetyfive = data.fb_engagements.quantile(.95)\n",
    "ninetynine = data.fb_engagements.quantile(.99)\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(np.log(non_zero_fb_enagagements + median), bins=50)\n",
    "plt.axvline(np.log(mean), linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(np.log(median), label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axvline(np.log(ninety), linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetyfive), linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetynine), linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's looking a bit more interesting."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After some exploration, to avoid too much emphasis on the lower end of the scale, we move the numbers to the right a bit by adding on the median."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   121131.00\n",
       "mean         5.19\n",
       "std          1.81\n",
       "min          3.40\n",
       "25%          3.66\n",
       "50%          4.55\n",
       "75%          6.26\n",
       "max         11.78\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_engagements = (non_zero_fb_enagagements\n",
    "                   .clip_upper(data.fb_engagements.quantile(.999))\n",
    "                   .apply(lambda x: np.log(x + median))\n",
    "                  )\n",
    "log_engagements.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use standard feature scaling to bring that to a 1 to 50 range\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   121131.00\n",
       "mean        11.14\n",
       "std         10.85\n",
       "min          0.00\n",
       "25%          2.00\n",
       "50%          7.00\n",
       "75%         18.00\n",
       "max         50.00\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def scale_log_engagements(engagements_logged):\n",
    "    return np.ceil(\n",
    "        50 * (engagements_logged - log_engagements.min()) / (log_engagements.max() - log_engagements.min())\n",
    "    )\n",
    "\n",
    "def scale_engagements(engagements):\n",
    "    return scale_log_engagements(np.log(engagements + median))\n",
    "\n",
    "scaled_non_zero_engagements = scale_log_engagements(log_engagements)\n",
    "scaled_non_zero_engagements.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# add in the zeros, as zero\n",
    "scaled_engagements = pd.concat([scaled_non_zero_engagements, data.fb_engagements[data.fb_engagements == 0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10faabf98>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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41QEAgG7hKPTHjBmjMWPGRLoWAAAQQY5C//7779eRI0f0j3/8Q+np6aqvr9f1118f6doA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\nYQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109078898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "proposed = pd.DataFrame({\"fb_engagements\": data.fb_engagements, \"response_score\": scaled_engagements})\n",
    "proposed.response_score.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now look at how the shares distribute to score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1090fd1d0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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U+xLPYrNaaFS38vY7EwgP9qV29QBnlyHishTmymjNmlX4+fkzY8Y8EhOP8MYb85k0aQoL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\nGR7T4HLxoO0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108d5a9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,8))\n",
    "\n",
    "shares = np.arange(1, 60000)\n",
    "plt.plot(shares, scale_engagements(shares))\n",
    "plt.xlabel(\"shares\")\n",
    "plt.ylabel(\"score\")\n",
    "plt.axhline(scale_engagements(mean), linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axhline(scale_engagements(median), label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axhline(scale_engagements(ninety), linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axhline(scale_engagements(ninetyfive), linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "plt.axhline(scale_engagements(ninetynine), linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "\n",
    "plt.legend(frameon=True, shadow=True)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>size</th>\n",
       "      <th>amin</th>\n",
       "      <th>amax</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>response_score</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.00</th>\n",
       "      <td>35077</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.00</th>\n",
       "      <td>16107</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.00</th>\n",
       "      <td>9464</td>\n",
       "      <td>7</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.00</th>\n",
       "      <td>7642</td>\n",
       "      <td>13</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.00</th>\n",
       "      <td>5955</td>\n",
       "      <td>21</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.00</th>\n",
       "      <td>5346</td>\n",
       "      <td>30</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.00</th>\n",
       "      <td>4387</td>\n",
       "      <td>41</td>\n",
       "      <td>52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.00</th>\n",
       "      <td>4140</td>\n",
       "      <td>53</td>\n",
       "      <td>67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.00</th>\n",
       "      <td>3831</td>\n",
       "      <td>68</td>\n",
       "      <td>85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.00</th>\n",
       "      <td>3495</td>\n",
       "      <td>86</td>\n",
       "      <td>106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.00</th>\n",
       "      <td>3356</td>\n",
       "      <td>107</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11.00</th>\n",
       "      <td>3112</td>\n",
       "      <td>132</td>\n",
       "      <td>160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.00</th>\n",
       "      <td>3092</td>\n",
       "      <td>161</td>\n",
       "      <td>195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13.00</th>\n",
       "      <td>2775</td>\n",
       "      <td>196</td>\n",
       "      <td>235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.00</th>\n",
       "      <td>2765</td>\n",
       "      <td>236</td>\n",
       "      <td>284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15.00</th>\n",
       "      <td>2550</td>\n",
       "      <td>285</td>\n",
       "      <td>341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16.00</th>\n",
       "      <td>2440</td>\n",
       "      <td>342</td>\n",
       "      <td>408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17.00</th>\n",
       "      <td>2409</td>\n",
       "      <td>409</td>\n",
       "      <td>488</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18.00</th>\n",
       "      <td>2317</td>\n",
       "      <td>489</td>\n",
       "      <td>583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19.00</th>\n",
       "      <td>1982</td>\n",
       "      <td>584</td>\n",
       "      <td>694</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20.00</th>\n",
       "      <td>2101</td>\n",
       "      <td>695</td>\n",
       "      <td>826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21.00</th>\n",
       "      <td>1858</td>\n",
       "      <td>827</td>\n",
       "      <td>983</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22.00</th>\n",
       "      <td>1810</td>\n",
       "      <td>984</td>\n",
       "      <td>1167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23.00</th>\n",
       "      <td>1715</td>\n",
       "      <td>1168</td>\n",
       "      <td>1385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24.00</th>\n",
       "      <td>1645</td>\n",
       "      <td>1386</td>\n",
       "      <td>1643</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25.00</th>\n",
       "      <td>1576</td>\n",
       "      <td>1644</td>\n",
       "      <td>1949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26.00</th>\n",
       "      <td>1487</td>\n",
       "      <td>1950</td>\n",
       "      <td>2309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27.00</th>\n",
       "      <td>1400</td>\n",
       "      <td>2310</td>\n",
       "      <td>2736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28.00</th>\n",
       "      <td>1371</td>\n",
       "      <td>2737</td>\n",
       "      <td>3240</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29.00</th>\n",
       "      <td>1199</td>\n",
       "      <td>3241</td>\n",
       "      <td>3837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30.00</th>\n",
       "      <td>1195</td>\n",
       "      <td>3838</td>\n",
       "      <td>4542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31.00</th>\n",
       "      <td>1076</td>\n",
       "      <td>4543</td>\n",
       "      <td>5376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32.00</th>\n",
       "      <td>1075</td>\n",
       "      <td>5377</td>\n",
       "      <td>6362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33.00</th>\n",
       "      <td>942</td>\n",
       "      <td>6366</td>\n",
       "      <td>7528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34.00</th>\n",
       "      <td>803</td>\n",
       "      <td>7531</td>\n",
       "      <td>8903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35.00</th>\n",
       "      <td>601</td>\n",
       "      <td>8908</td>\n",
       "      <td>10532</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36.00</th>\n",
       "      <td>556</td>\n",
       "      <td>10537</td>\n",
       "      <td>12463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37.00</th>\n",
       "      <td>565</td>\n",
       "      <td>12466</td>\n",
       "      <td>14730</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38.00</th>\n",
       "      <td>563</td>\n",
       "      <td>14743</td>\n",
       "      <td>17436</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39.00</th>\n",
       "      <td>422</td>\n",
       "      <td>17443</td>\n",
       "      <td>20610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40.00</th>\n",
       "      <td>406</td>\n",
       "      <td>20629</td>\n",
       "      <td>24375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41.00</th>\n",
       "      <td>346</td>\n",
       "      <td>24405</td>\n",
       "      <td>28839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42.00</th>\n",
       "      <td>276</td>\n",
       "      <td>28864</td>\n",
       "      <td>34097</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43.00</th>\n",
       "      <td>231</td>\n",
       "      <td>34126</td>\n",
       "      <td>40296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44.00</th>\n",
       "      <td>211</td>\n",
       "      <td>40349</td>\n",
       "      <td>47634</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45.00</th>\n",
       "      <td>142</td>\n",
       "      <td>47773</td>\n",
       "      <td>56179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46.00</th>\n",
       "      <td>129</td>\n",
       "      <td>56432</td>\n",
       "      <td>66572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47.00</th>\n",
       "      <td>99</td>\n",
       "      <td>66743</td>\n",
       "      <td>78676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48.00</th>\n",
       "      <td>94</td>\n",
       "      <td>78958</td>\n",
       "      <td>92860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49.00</th>\n",
       "      <td>58</td>\n",
       "      <td>93911</td>\n",
       "      <td>110017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50.00</th>\n",
       "      <td>197</td>\n",
       "      <td>110686</td>\n",
       "      <td>2362234</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 size    amin     amax\n",
       "response_score                        \n",
       "0.00            35077       0        1\n",
       "1.00            16107       2        6\n",
       "2.00             9464       7       12\n",
       "3.00             7642      13       20\n",
       "4.00             5955      21       29\n",
       "5.00             5346      30       40\n",
       "6.00             4387      41       52\n",
       "7.00             4140      53       67\n",
       "8.00             3831      68       85\n",
       "9.00             3495      86      106\n",
       "10.00            3356     107      131\n",
       "11.00            3112     132      160\n",
       "12.00            3092     161      195\n",
       "13.00            2775     196      235\n",
       "14.00            2765     236      284\n",
       "15.00            2550     285      341\n",
       "16.00            2440     342      408\n",
       "17.00            2409     409      488\n",
       "18.00            2317     489      583\n",
       "19.00            1982     584      694\n",
       "20.00            2101     695      826\n",
       "21.00            1858     827      983\n",
       "22.00            1810     984     1167\n",
       "23.00            1715    1168     1385\n",
       "24.00            1645    1386     1643\n",
       "25.00            1576    1644     1949\n",
       "26.00            1487    1950     2309\n",
       "27.00            1400    2310     2736\n",
       "28.00            1371    2737     3240\n",
       "29.00            1199    3241     3837\n",
       "30.00            1195    3838     4542\n",
       "31.00            1076    4543     5376\n",
       "32.00            1075    5377     6362\n",
       "33.00             942    6366     7528\n",
       "34.00             803    7531     8903\n",
       "35.00             601    8908    10532\n",
       "36.00             556   10537    12463\n",
       "37.00             565   12466    14730\n",
       "38.00             563   14743    17436\n",
       "39.00             422   17443    20610\n",
       "40.00             406   20629    24375\n",
       "41.00             346   24405    28839\n",
       "42.00             276   28864    34097\n",
       "43.00             231   34126    40296\n",
       "44.00             211   40349    47634\n",
       "45.00             142   47773    56179\n",
       "46.00             129   56432    66572\n",
       "47.00              99   66743    78676\n",
       "48.00              94   78958    92860\n",
       "49.00              58   93911   110017\n",
       "50.00             197  110686  2362234"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "proposed.groupby(\"response_score\").fb_engagements.agg([np.size, np.min, np.max])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good to me, lets save that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"response_score\"] = proposed.response_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Proposal\n",
    "\n",
    "The maximum of 50 points is awarded when the engagements are greater than the 99.9th percentile, rolling over the last month. \n",
    "\n",
    "i.e. where $limit$ is the 99.5th percentile of engagements calculated over the previous month, the response score for article $a$ is:\n",
    "\n",
    "\\begin{align}\n",
    "basicScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   \\log(\\min(engagements_a,limit) + median(engagements))      & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \\frac{basicScore_a - \\min(basicScore)}{\\max(basicScore) - \\min(basicScore)}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "\\text{The latter equation can be expanded to:} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Promotion Score\n",
    "\n",
    "The aim of the promotion score is to indicate how important the article was to the publisher, by tracking where they chose to promote it. This is a number between 0 and 50 comprised of:\n",
    "\n",
    "- 20 points based on whether the article was promoted as the \"lead\" story on the publisher's home page\n",
    "- 15 points based on how long the article was promoted anywhere on the publisher's home page\n",
    "- 15 points based on whether the article was promoted on the publisher's main facebook brand page\n",
    "\n",
    "The first two should be scaled by the popularity/reach of the home page, for which we use the alexa page rank as a proxy.\n",
    "\n",
    "The last should be scaled by the popularity/reach of the brand page, for which we use the number of likes the brand page has."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lead story (20 points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   148391.00\n",
       "mean         9.64\n",
       "std        126.32\n",
       "min          0.00\n",
       "50%          0.00\n",
       "75%          0.00\n",
       "90%          0.00\n",
       "95%          0.00\n",
       "99%        269.00\n",
       "99.5%      590.00\n",
       "99.9%     1312.66\n",
       "max      21859.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.mins_as_lead.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the vast majority of articles don't make it as lead. Let's explore how long typically publishers put something as lead for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "lead_articles = data[data.mins_as_lead > 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    3815.00\n",
       "mean      374.78\n",
       "std       695.67\n",
       "min         4.00\n",
       "25%        99.00\n",
       "50%       190.00\n",
       "75%       465.00\n",
       "90%       875.00\n",
       "95%      1194.00\n",
       "99%      2163.46\n",
       "99.5%    2918.80\n",
       "99.9%    6576.36\n",
       "max     21859.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.describe([0.25, 0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10906b550>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a1f0320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For lead, it's a  significant thing for an article to be lead at all, so although we want to penalise articles that were lead for a very short time, mostly we want to score the maximum even if it wasn't lead for ages. So we'll give maximum points when something has been lead for an hour."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1091091d0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AQDcEFPeQkBBFRkZ6P7/gggu6/M11AADQdwT0mntCQoKeffZZdXR06L333tOWLVt0+eWX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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107dba4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.clip_upper(60).plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also want to scale this by the alexa page rank, such that the maximum score of 20 points is for an article that was on the front for 4 hours for the most popular site.\n",
    "\n",
    "So lets explore the alexa nunbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "bbc_co_uk                               96\n",
       "cnn_com                                105\n",
       "nytimes_com                            120\n",
       "theguardian_com                        142\n",
       "buzzfeed_com                           147\n",
       "dailymail_co_uk                        158\n",
       "washingtonpost_com                     191\n",
       "huffingtonpost_com                     215\n",
       "foxnews_com                            285\n",
       "rt_com                                 365\n",
       "telegraph_co_uk                        370\n",
       "independent_co_uk                      386\n",
       "reuters_com                            497\n",
       "npr_org                                594\n",
       "mirror_co_uk                           706\n",
       "nbcnews_com                            826\n",
       "breitbart_com                          994\n",
       "ft_com                                1596\n",
       "economist_com                         1825\n",
       "indy100_com                           5014\n",
       "thetimes_co_uk                        6435\n",
       "newstatesman_com                     12769\n",
       "thecanary_co                         15686\n",
       "propublica_org                       16066\n",
       "yournewswire_com                     22568\n",
       "order-order_com                      32515\n",
       "anotherangryvoice_blogspot_co_uk     77827\n",
       "westmonster_com                      97775\n",
       "evolvepolitics_com                  119412\n",
       "skwawkbox_org                       152475\n",
       "libdemvoice_org                     344992\n",
       "brexitcentral_com                   469149\n",
       "Name: alexa_rank, dtype: int64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alexa_ranks = data.groupby(by=\"publisher_id\").alexa_rank.mean().sort_values()\n",
    "alexa_ranks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10c3d1f60>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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T3N3dkZ2djaSkJN3LEhEREf0b5FuQtWnTBg4O/z+hv6IoMJlMAAAnJyekpKQgNTUVzs7O\n6jKW9/UuS0RERPRvIPzoJDu7/6/h0tLS4OrqCmdnZ6SlpVm97+LionvZ/JQpUwoODvb5Lufm5pLv\nMk8jhqw4zKXgYsiKU1hiyIrDXAp3DFlxmEvBxZAVp7DEkBlHdszC1D6RGMIFmZeXFw4dOoTXX38d\nUVFRaNSoEapWrYrZs2ejf//+uHnzJsxmM8qWLat72fzcuXMv32Xc3FyQkKDvbJuMGMyFuTztGMyl\n8OdS1NrDXAp/LlpiPM1nUMr4rmXEkBUnb4wnFWjCBVlAQAAmTZqE8PBw1KhRA23atIG9vT28vb3h\n4+MDs9mMoKAgKcsSERER/RvYVJBVrlwZmzZtAgB4eHhgzZo1Dy0zfPhwDB8+3Oo9GcsSERERFXWc\nGJaIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiI\niAwmPFM/ERER/W94mo89In14hoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzI\niIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjI\nYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzGgoyI\niIjIYCzIiIiIiAzGgoyIiIjIYCzIiIiIiAzmYHQCRERE9LB+M3Y+8d+/HtfiKWVCTwPPkBEREREZ\njAUZERERkcFYkBEREREZjAUZERERkcE4qJ+IiEii/AbjAxyQTw/jGTIiIiIig7EgIyIiIjIYCzIi\nIiIig3EMGRER/c+TNW6Lk7GSUXiGjIiIiMhgPENGRESG4l2JRDxDRkRERGQ4FmREREREBitUlyzN\nZjM+/fRTnDlzBo6Ojpg6dSqqVatmdFpERPQIvNRIJE+hKsh27NiBjIwMbNy4EUePHsWMGTOwcOFC\no9MiIipyWEwRFS6F6pJlTEwM3nrrLQDAK6+8ghMnThicEREREVHBK1RnyFJTU+Hs7Ky+tre3R1ZW\nFhwcClWaRJSPpzUnlC1xCtP8VIUpFyIqXEyKoihGJ2ERGhqKl19+Ge3atQMANG3aFFFRUQZnRURE\nRFSwCtUlywYNGqgF2NGjR/H8888bnBERERFRwStUZ8gsd1mePXsWiqJg+vTp8PT0NDotIiIiogJV\nqAoyIiIion+jQnXJkoiIiOjfiAUZERERkcFYkBEREREZjAUZERERkcGKbEGWmZlp9fry5csGZUKk\nTd5tmKiwYn9LpF+RvctyxIgRmDt3LkwmEzZs2IDly5fjl19+EYqRnZ2Nc+fOISMjQ32vXr16QjF2\n7tyJzZs3W8VYunTpU8/D4vjx49i6dSvS09PV9z799FObP3/z5k0899xz6uutW7fi3XffFcpBVnv0\ntkUmGW1aunQpPvzwQwDAmTNnMG7cOHz33XfCuchYRykpKYiOjrb6bi0TNou4fv261WsHBweUKVMG\nxYoVE4pz9uxZdV5CRVGwdOlSDBw4UDifwrLNyOgXZElNTbX6PsqVKyccQ0Z/KyOX06dPY8KECbh5\n8ybc3Nwwbdo0vPjii8J5tG7dGtnZ2eprBwcHVKxYEWPHjrU53pUrV7Br1y6r9lj2b1F698eDBw+i\nUaNGAIAHDx5g+vTpCAkJEcpBVr9dmLb9+fPnW70uVqwYnnvuObRr1064j5LRriL7TKLGjRvjk08+\nQUpKClxdXbFp0ybhGAMHDkRGRgZcXV0BACaT6aEVmJ+ZM2ciJCQEzzzzjPDfl5mHRUBAAD788EM1\nlqgRI0Zg8eLFcHBwwKeffop//vlH+GAvqz1622Lx2Wef4ZtvvoHJZFLf27t3r1AMGW06d+4c1q9f\nj3v37uH777/XXCjIWEf9+vWDp6enVXu0FGQfffQRbt26BQ8PD1y8eBElS5ZEVlYWxo4di44dO9oc\nZ8KECQgPD4fJZEJAQABq1qwpnAsgZ5vZsGEDNmzYgIyMDCiKApPJhG3btgnFkNEvAPq33U8++QQx\nMTFwdXVV26LlR4CM/lZGLtOmTcO0adPwwgsv4NSpUwgODsaGDRuEc2nUqBHatm0Lb29v/Pnnn4iI\niEDXrl0xdepUrF+/3qYYQ4YMQevWrXX3T4D+/XHu3LlwcnJCdnY2Jk6ciA4dOgjnIKvflrXtv/XW\nW0hKSkKZMmWQnJwMR0dHlC9fHpMnT8abb75pU4wzZ86gePHi8Pb2xrFjx3Djxg24ublh7969mD17\ntlA+UtqlFDHp6enqf8uWLVP69++vvhbVq1cv3fkMHTpUdwwZeVh89NFHuj5/7NgxxdfXV3nvvfeU\niIgITTFktUdvWyw6duyoafvITUabsrOzlVGjRinvv/++rnxkrKMPPvhA89/PbdCgQUpiYqKiKIqS\nnJysDBs2TLlz547SrVs3oTiXLl1SunXrprz33nvK/v37NecjY5v5z3/+o1y5ckW5e/eu+p8oGf2C\noujfdkXXQ14y+1u9uSiKovTu3dvqtdb9Mm+cvn37KoqiKD179rQ5xocffqjpbz+K3v0xMTFR8fHx\nUTp37qycP39eUwxZ/basbX/UqFFKXFycoig5/cPYsWOVixcvKt27d7c5hmW9Wli+Z19fX+F8ZLSr\nyJ0ha9u2LUwmE5RcV2It70VGRgrF8vb2xp49e6yeFuDu7i4Uo2XLlvDx8UGNGjXU90JDQ596HhZt\n2rTBqFGjrGINGzYs38/l/tXduHFj7N+/H8899xz27t2LJk2aCOUgqz1a25JXnTp1kJ6eDkdHR+HP\nWuhpk4+Pj3qGIzMzE2fOnEHfvn0BQOjXvcx11KRJE6xfv97qTNRrr70mFAMAEhMTUbZsWQDAM888\ng9u3b6N06dKws7Nt+OrGjRvV/7c8Wu3y5cu4fPkyfHx8hPORsc3Url0bFStWhL29vfDft5DRLwD6\nt9169eohPj7eKg8RMvtbvbkAgJ2dHXbt2gVvb28cPnxY8/fi6OiI9evXo379+vjzzz/h6OiIEydO\nWF3GzE/z5s0xZ84cq32oU6dOmvLRuj+GhYWpfYuHhwf27NmDH374AQDg7+8vlIOsflvWtn/z5k01\nRtWqVXHjxg1Uq1ZNaL9MSUlBUlISypYtizt37iAlJQWZmZl48OCBcD4y2lXkCrKdO3dKi5WYmIjp\n06dbnaIVPf29evVqDBgwAC4uLobmYbF27VpNp9G3bt1q9drDw0N9T/RgL6s9WtuSV61atdCkSROU\nL19evVQiejDR06bw8HDhnB9F5jo6cuQIMjIycPjwYQA57dFSkHl5ecHf3x+vvPIKjh49ijp16mDb\ntm02jw1KSEhQ/9/FxQXvvvuu1XuiZGwzjRo1QqtWrVClShV1e1m1apVQDBn9AqB/23V2dka3bt1Q\nqlQp9T2RS54y+1u9uQDA9OnTMXPmTISFhcHT0xNTpkzRlMucOXOwaNEiREZG4vnnn8esWbNw/Phx\nTJs2zeYY27ZtQ40aNRAXFwcAVpeVRWndH3MXBx4eHmjYsKHmHGT127K2fTc3N8yZM0ctmsuXL499\n+/YJjf0aMWIEevToARcXF6SlpWHixIlYvnw5unXrJpyPjHYVuYLMok+fPg/tAKKdZnx8PLZv364r\nj/Lly2saeyM7D4vSpUtrGgyt5RfM48hqj9a25LVt2zZERkbqOkjraVOlSpUAPDzAFBA7eyNzHd27\ndw8rVqzQHcff3x+HDx9GXFwcOnTogLfffhvx8fFo3ry5TZ+3tD/vzQFaydhmNm7ciM8//1xXxyuj\nXwD0b7uHDh1CdHQ0HBz0HQpk9LcycilVqhR8fHzw5ptvYs2aNZrX0dSpUxEWFmb1XrNmzYRiODo6\nIjg4WNPfz0vr/ti5c2cAUAs5PWT127K2/RkzZiAiIgJRUVF4/vnnMXz4cJw8eVLoB+7du3fx66+/\nIikpCeXKlYPJZELTpk015SOjXUW2ILPsCIqiIDY2FqdOnRKOUbt2bRw9ehReXl7qe6KnwEuUKIH+\n/fvDy8tL7bBETxXLyMOiTJkyCAoKsspH5NJP7jMtycnJqFKlivBOKqs9etti4e7ujpIlS+q6ZCmj\nTeXLlweQs82ePHkSZrNZUy4y1lGtWrWwdetW1KlTx+qSh6iPPvoI69evR8uWLdX3tFySGjVqFEwm\nE8xmM65evYpq1arZPLg6NxnbzLPPPou6devafNn1UWT0C4D+bbd69epITEzEs88+q+nzFjL6Wxm5\n+Pv7q5f7n3nmGYwdOxaLFy8WjpORkYHTp0/Dw8NDXT+i37G7uzsWL15stY5Fz1Rb6N0fLfuKoig4\nf/48KlWqJHzGW1a/LWvbHzp0KL7++mur9+rXry8UY9OmTejQoYPa9+oho11FtiDL3el7enrim2++\nEY5x+PBh7N69W32t5VKWrWcCCjoPi2rVqgEAbt++renzuS8hXLt2TdNdNrLao7ctFjdv3sQ777yD\nKlWqqPmInoqX0SZfX1+r1wMGDBD6vIWMdXT69GmcPn1afa3lshyQc1BcuXIlPDw81AJGy0Ep91iy\nu3fvYtKkScIxADnbTEZGBjp27IhatWqpHW/esyn5kdEvAPq33T/++AMtWrRA6dKl1baIXiYE5PS3\nMnK5f/+++t22b98eERERwnkAwMWLFzFkyBD1tZb9OSsrCxcvXsTFixfV97QWZHr3x9xnjTIyMjBy\n5EjhHGT127K2fVdXV0RGRqJ69epq3yL6ozEjIwOdOnVSC2+TySS8L1vIaFeRnYcsdweekJCA3bt3\na+okgJxr56VLl9Y0iDcrKwsbN27E+fPnUb16dfj5+Wn+Nasnj9x2796Nc+fOwcPDA61atdIVy8fH\nx+q7FiGjPTLacu3atYfes1xGFKWnTRcuXFD/PyEhAZ9++qnwdAqPonUd3blzB1euXEHlypXVgfmi\nxo8f/9B7ei+tKoqCrl274ttvv9X0eb3bTHR09EPviY7NkdUvyNx29ZDZ3+rRp08fDBo0CC+//DL+\n+usvLF68WNeld7191NmzZ3H+/Hl4eHigTp06mvMA5OyPQE7R2qNHD/z000+aPq/3O5G17ffp08fq\ntZYfjTL2ZQsZ7SqyBVnuswKOjo5o164dKleuLBTj0KFDCAwMhIuLC+7evYspU6bYPL+JRWBgIFxd\nXeHt7Y3o6GgkJydj1qxZTz0Pi7CwMFy6dAkNGjTAkSNHUKVKFQQEBNj8eX9/f/XX699//w0XFxcs\nWLBAKAdZ7dHbFoubN29i+vTpiIuLQ/Xq1TF+/HhDtpXcHUyJEiXQu3dv4XErgJx1tH37dnz++efw\n9PTEuXPnMGzYMKF5w3KTcVDKfSdqYmIi3njjDU3jc2RsM6mpqfjyyy/V7WXIkCEoXbq0UAwZ/QKg\nf9s9c+YMAgMDcevWLZQvXx7Tp0+3uiRlKxn9rYxcLl26hJkzZ+LChQuoWbMmxo4di6pVqwrFAOTs\nz6tXr8aWLVtQr149/Pnnn/jPf/6D/v37C+cC6N8fc5+Zy8rKwvvvv4/BgwcL5SCr35a17QP6i1QZ\n+7KFlHbpnjjjf8yQIUNsXtbX11e5efOmoiiKcvPmTU3z5OSdt8bHx0c4how8HvX3zWazcKxDhw6p\n/x09elTJyspSFEVRrl69anMMWe3R2xaL/v37Kzt27FD++ecf5bfffntobhpbyFxHec2bN09oeRnr\nqEePHkpqaqqiKIqSkpKidOnSRSgHi1WrVik9evRQpk6dqnTt2lVZtmyZpjhXr15V/0tISFDfP3r0\nqFAcGdvM8OHDlVWrViknT55UVqxYoWluMxn9gqLo33Z79+6tnDp1SlEURTl58qTmPB5HpL8tyFyC\ngoKElpexP/fo0UPJzMxUFEVRMjIyNO9Dllgy9se8fvvtN5uXldXHydr2t23bprRu3VoZPHiw0qpV\nK+X7778XjiFjX7aQ0a4iO4bsce7evWvzsvb29uoA02effRbFixcX/nvp6em4f/8+SpYsiQcPHgjN\nYyMzD4usrCyYzWbY2dmpt8mLeNzp3PHjx9t8ulhWe/S2xSI9PV0ddN6qVSssX75cOIbMdZTXo06r\nP4mMdWT2gSQZAAAgAElEQVQymeDk5AQgZzoCre3ZsmUL1q5dCwcHB2RmZsLX11fTWYLHXYYLCwsT\nukwhY5u5c+eOejazTp06mh4RJKNfsMTRu+2+8MILAHLaovduy7xE+tuCzCX3cABbyNifFUVR21Cs\nWDHhR/HkJmt/zGvVqlU2X7aX1cfJ2vZXrFiBb7/9Fk5OTkhNTcX7778vfBZfxr5sIaNd/7qCTKQD\ndnZ2xurVq/Haa6/h8OHDmh6J0LdvX3UA8Pnz5zFixAjhGDLysGjXrh38/Pzw8ssv4/jx41JuPwZg\nNTFkfmS1R1ZbsrOzcebMGdSuXRtnzpzRdJCWuY7yEvluZcWpUqUKZsyYAW9vbxw5ckTTZR/L35R1\nUHpcfBEytpn09HQkJCTAzc0Nt2/f1nQ3rIx+AdC/7cqaSPVxRPIp6FxEyNifX331VYwYMQKvvvoq\nYmJihO8AzE3W/piXEf22rG1fRpEqY1+2kNGuIjuG7HH69u1r8y/qlJQULFiwAPHx8fD09MRHH32k\naSO8fv06EhMTUa5cOU0zG8vKw+Ls2bOIj4+Hh4cHateurTlObkZ8r4Cctpw8eRKTJk1CQkICKlSo\ngClTpgiPdZK9jnIT+W5lxbEMUI2Li4Onpyd69OihqZiaOXMmrl27ph6UKlWqpGmc3+No+W70bjP7\n9u1DUFAQXFxckJqaiilTpqBx48bCcfT2C4D+bffatWuYOXOmut1+8sknUm8KEFk/BZmL6HYia3/e\nvXs34uLiULNmTU3jQS1k7Y95GdVvy9j2x44di3LlyqlFanJyMmbMmCEUQ9a+bKG7XZovmP6P6tOn\nj83LXrp0Sfnpp58URVGU2bNnK1euXBH+e/PmzVPCwsIURcm5Xr148WLhGDLysNi4caMyY8YMRVFy\nntv13XffaY6V29P+XhVFXlvS09OV2NhYRVFyxlRkZGQIx5C5jvIS+W5lxTl69KiycuVKRVEUxd/f\nX/1+tNi1a5eybNkyZdeuXep7IuPZnkT0u5G1zVy7dk1JTExUjh07punzMvoFRdG/7SYlJSl79+5V\nFEVRVq9erfzzzz+a8ngckfVTkLnI2odExsRFRkYqc+fOVRRFUfr166fs2bNH89+VuT/mZkS/LWvb\nz8zMVNasWaMEBwcra9asUbd9Lc9RtTxv12L9+vXCMWS0619XkA0bNszmZX18fJQ///xTURRFiY6O\n1jTYu3Pnzg/FFCUjD4tOnTpZDTTt0aOH5li55X0Y75PIao+stgwfPlz55ptvFEVRlCVLlij+/v7C\nMWSuo7xEvltZcbp06aJcunRJURRFuXz5stBDlW0h6wAp+t3I2GYmTZqk3pwwZcoUZcqUKcIxZPQL\niqJ/2/3vf/+r7Ny5U1EURfnxxx+VgQMHasrjcUT624LMxYh9qFOnTuqD5+/evavrJoWC2h+N6Ldl\nbfuPI6Nv0RJDRru0TzVdyN28eRMjRozAu+++i6FDh+Lq1asAgHnz5gnFeeWVVwDkPMhVy/Vlk8mE\njIwMADkPjlY0XiHWm4eFnZ2d1ZgerQPhk5KSrPJo1KiR0OdltEdWW27duoWuXbsCAD788EP8/fff\nmuLobVN2djbWrl2L4OBgrFy5Ut1utN4SrmcdFStWTB2nUqVKFV2z0j+Klv0gOTkZx48fR1JSkvpe\n+/bthWLI2GZOnjyp3pgwceJETbPSy+oX9G67eSdSvX//vqY8ZPS3MnLp0qULVqxYgeTkZKv3887o\nrpXI9uLg4KA+usnFxUXXPiRjfzx37hy2b99utb1+8MEHQjFk9Nuytv3HkRFPSwwZ7Sqyg/onTpwI\nPz8/vPbaa4iOjsaECROwcuVKoRiurq7YuHEjXnnlFRw/flwdQCjC19cX7du3x/PPP4/4+Hh8+OGH\nwjFk5GHRsmVL9OzZE/Xq1UNsbCxatGgh9PmDBw9iwoQJcHZ2RkpKijoXzdChQ22OIas9ettiYTKZ\ncOHCBXh4eODy5cuaOhoZbZo0aRJcXFzw5ptvIjo6GhMnTsSsWbNQsWJFoTgy1pG7uzvCw8PV9lSo\nUEG0OU8kWght27YNc+fOfWgeph49egjFkbXN3LlzB2XKlMHdu3c13U0lo18A9G+7xYoVw759+9SJ\nVLUWDTL6Wxm5rFixAj/99BMGDRqEihUronv37njjjTek30xii3r16mH06NF45ZVX8Ndff2ma381C\n7/64atUqbNmyBS+//DK++uordU40ke1fVr8ta9t/HD0PcdcTQ0q7hM+p/Y/Ieyq2V69ewjESExOV\nqVOnKv3791dCQ0Mfus4sEufo0aNWnxeZ/0VWHhYnT55Utm7dqs75oyi2z+ckYy4ame3R0xaLY8eO\nKR07dlTefPNNpXPnzspff/0lnIeMNsman0fGOnrw4IGyfPlyJSgoSFm5cqU6LkPL+IxHEb0kIHMe\nJr3bzM6dO5XmzZsrnTt3Vlq2bKlERUVpykNvv6Ao+rfdixcvKoMHD1batm2rDBs2TL0sJkpGfysr\nF0VRlPPnzyv+/v5Ko0aNlG7duim//vqr5li5iW63v/32m7J48WJlx44d6ntaxk/q3R9lzIkms9+W\nse0/jlGXLBVFf7uKbEHm5+ennD59WlEURTl9+rSmDuJxRAZ2Po6MjUZGHha25pP3eyxs36uiyBuf\nJDoh66OItKlr167KvXv3FEVRlPv372ueeLEg15FRY7/yFqd+fn5S8rAQbVdWVpaSkJCgmM1m9T0t\nA4H15vE4erdd0YlUC7K/FcllzZo1Svfu3ZUPPvhA2bZtm5KRkaHcu3dPee+996TkIjIm7nFkrWOR\nWN27d7d6LXPcVmHrt2WMF5Q15lBRxNpVpC9ZBgYGWt0OLovoZIePoki4zi0jDwtb8ynI+bZktUfG\ndwuIT8j6KCJtkjU/T2GaE+3HH39Ehw4dHnpfdMxhQc3DZCHaLnt7e5QvX97qvW3btj30gPiCzuNx\n9G67ohOpFmR/K5LL+fPnERYWpj5sHci5FBoSEiL0Ny9duoSff/4ZmZmZAHIeQRYSEiI8BvlRZK1j\nkVgy50TLy6h+2zLBs0VqaiqcnZ1Rs2ZNoTgHDhzA5cuX8fLLL8PDwwPFixfH2LFjhWI8iUi7iuyg\n/po1a2LKlCmIiorCoEGDhFfSkxh1jbogYojGmj17Nq5fv47PPvsMN27cwPTp0596Dk8rjoyOUySX\nDh06YMWKFRg0aBCWL1+Od999V9PfLEzraNOmTY98X2Q8G5DzQPIqVapg//79qFKlitQDPiBnm3na\n28uTyDzo26Ig+1sRp0+ftirGLEQLkNGjRwMA/vjjD1y9evWhmwT0MKLfDggIQJcuXZCVlYWuXbtK\nnQvQqH67b9++6k0sx44dU38MTZ482eYY4eHh+O6777Bp0yacOnUK48ePB5Az/k8WocmRpf3VQmbM\nmDHq3SQXLlzAuHHjDM6oaLhz5w5efPFFLF68GHZ2dkhJSTE6pQIjs+O0xfz587FhwwbUrVsXM2bM\nwJIlSzTFKUzrKCMjA506dcKoUaMwevRo9UAnKjY2FtnZ2QgKCsIff/yBc+fOSc5Uv6e9vTzJ086l\nsPS3zzzzDFauXImoqCjs3bsXe/fu1RSnVKlS+Oijj/Dss89ixowZuH37tuRMn66dO3fi+PHj6N+/\nP1atWqX5eylMhg4dioEDB2LatGmYMWMG5s6dKxwjJiYGs2bNQqlSpdC5c2f17mCjFNmCTNZUBgXl\naf+CzY+t+XzyySeoXLkyAKBZs2aYMGFCQaalSWH7bm21c+dO+Pv7AwC++OIL7Ny5U1OcglxHot/t\nmDFjEBgYCD8/P/j4+MDHx0fT3w0JCcHbb78NABg5ciSmTZumKc7jFJZtprDkIaqw9LdlypTB6dOn\nsX37dmzduhVbt27VFMdkMiEhIQFpaWm4d+8e7t27Jy1HIy5Zzps3T53i4vPPP8f8+fOl5SCL6PdS\nq1YtlCtXDvv370e9evU0DWPIzs5Geno6TCYTsrOzpU/vA/CSJYD/vx0cgOapDB5HdEyO2WxGdnY2\njhw5os5TIjr/i4w8nkRkPie9c9FkZWVZvbaMQRBtz65du6xeb9u2DYD43FSPI7IjyWiTzPl5ZM1b\nl5fopShPT0/8+uuvWLJkCXbt2qX58VYFMS/ajRs31P+Xsc2IrK+IiAir15bH18joF0RzkfH5guxv\nRXIJDQ21+m/UqFGa/uawYcOwY8cOdOzYEa1atdL1OJ28lztFx08COVPZPIqt+6OMOdHi4+Mf+b6W\n45CMY2KvXr3g5+eHrVu3okKFCpp+7L3//vvo0qULzp07h+7du6Nnz57CMTIyMh77HyDWriL7LMvj\nx48jKCgIt2/fRoUKFRASEoKXXnpJKMaNGzewZcsWpKenq+8NGzZMKMa0adPg6emJ69evIzY2FuXL\nl8fMmTOfeh4tWrSwuozh4OCArKwsODo6Yvv27TbHGThwIFq2bKnORRMZGYlFixbZ9NmEhASkpqYi\nICAAs2bNgqIoMJvNCAgIwDfffGNzDrt27cIff/yBrVu34r333gOQ80tn586dQm2xuHfvHu7evQsH\nBwds3LgRnTp1QqVKlXDjxo185wCT1SYg5yC9bNkyq3lsOnXqJNwePevIYv/+/cjKyoKiKJgyZQo+\n/vhjTUVLnz590K5dO9SvXx8xMTGIiorC4sWLheP4+/ujcuXKapuuXLmCsLAw4TjLli2Dq6sr7t69\ni2+//RZvvfWWOm7EVgsWLMCQIUPU12FhYRg9ejSOHz+e79iTLVu2YOfOnTh06JB6YM7Ozsa5c+c0\nnc0JCQlBUFCQ+vqTTz7BrFmzbNp2d+zYgQMHDiAlJQWurq549dVX0bZtW5hMJmRmZgrN3SWjv01N\nTUVUVJR6IAOATp06CeUyd+5crF+/HpmZmXjw4AGqV6+u6XvNyMhAXFwc6tSpgx07dqBZs2bCc5lF\nR0cjJCQE2dnZaNu2Ldzd3dG9e3fhXICc4mPt2rWaPgsAU6ZMQXJysjonmqurKyZOnCgUw8/PD+vX\nr9ecg4WMYyKQMxnxc889p74+ceKE8DYH5BxfExISUL58eU3Pn7QcW/OWUiaTCZGRkUKxiuxdlvXq\n1cP333//0Pvz58+3uZj5+OOP0bhxY+GJOXP766+/MGHCBPTp0werV6/G+++/LxxDRh4///wzFEVB\ncHAwfH19Ua9ePZw8eRLr1q0TijNjxgwsXLgQv/32G2rWrCk0YPzYsWNYuXIlLly4gKCgICiKAjs7\nOzRp0kQohxdeeAHJyckoXrw4PDw8AORs/JbiTNSIESPg6+uLX3/9FTVr1kRQUBC++uorm75vS5vO\nnz+PSZMmAYCmNgFA9+7d0bJlS1y5cgVVqlRB2bJlAeQcOFu1amVzHD3ryOKzzz5DWFgYgoODsX79\neowcOVLzWSQ/Pz8AOevt559/1hQjNDQU69evx++//w5PT0+1IMrIyICjo6PNcX799VesWbMGAwYM\nwLZt29C3b1+bPxsREYFvvvkGcXFxiIqKApBTTGVlZWH06NE2DQRetGgRJk+ejOTkZPj6+qr7gOjl\nlrVr12LhwoVITk7Gr7/+CiDnTJLljEl+225wcDDMZjOaNm0KJycnpKWlqeOupk2bJlx8yOhvhwwZ\nggoVKqi5W35AiuSyc+dOREVFYfr06fjggw8QHBxs82dzGzNmDJo1a4Y6dergwoUL2L59u/APgLlz\n52LNmjUYPnw4Bg0aBD8/P80FmclkwtChQ+Hh4aGe3bIMb7DFpEmTsGPHDsTHx6NNmzZo2bIlgJwH\nutv6APdSpUph+vTpVjloOSsl45gIAP/88w+GDh2Kmzdvws3NTdMwhvnz5yMjIwP+/v4YMWIEXnrp\nJQwcOFAohtahJY9SZAuyxxG5HdzJyUnzKW8Ls9mMEydOoHLlysjIyEBaWppwDBl5WA5aV65cUQ8c\nXl5ewre3ly1b9pFjkoYOHYovv/zyiZ9t1aoVWrVqhd9//x3NmjUT+ru5VaxYEZ07d0bHjh0B5HzH\nR48ehaenp6Z4Dx48QMuWLbFq1SrMmjUL+/fvt/mzljZ17twZq1ev1vT3cytbtqxaiFmsWrVKqCDT\ns44sSpQogXLlysHBwQFubm6aB4nXqFEDP/zwAxo1aoTY2FiULl1a3eYsxbQtihcvjv/+978PvT9g\nwAD1cp8t7OzscPv2bXXKigcPHtj82Y4dO6Jx48ZYvHgxBg0apMYrV66czTHKlCmD0NBQXL58WT3A\nK4oCk8mEDRs22BynV69e6NWrFxYtWqTmIuLcuXNYs2aN1XstW7bUPW1HXiL9raIomDNnjq6/5+bm\nBkdHR6SlpaFatWrqtBWi8o6J69Onj3AMOzs7lC5dGiaTCcWLF9f1hBVLLno8qg8ZP368zfuP5U7V\nxMREXXnIOCYCwNSpUzFt2jS88MILOHXqFIKDg4X2ISCnmPr2228B5Izb9fX1FS7ILCIjI7Fu3Tp1\nuElycjJ++uknoRj/uoJM5AptrVq1sHXrVtSpU0c9IIkcRICcTjw4OBjTp0/H7NmzNf2ikJGHhYuL\nCz7//HPUq1cPf/75J9zc3DTFyUtkLppixYohKipK9+Ww0NBQKae+MzMzsXLlSrz44os4f/68pmfo\nOTk56foF+ySyRhWIrCNnZ2cMGDAAPj4+WLt27UNFoq3i4+Nx4cIFbN68WX0vKCgIJpNJqJB6HNHv\n5vXXX0efPn0we/ZsTJ8+XeiHgaOjIypXrix0ViGvFStW4NatW/j000+Fbs9/nM6dO+P8+fOwt7fH\n0qVL0bdvX7zwwgv5fs5sNuPIkSPw9vZW3zt8+LD0RwyJrJ/atWvj2LFjqFOnjvqeyNlPAHjuuefw\nzTffoGTJkggLC9M8R5aMx6lVrVoVYWFhSE5OxpIlSzRdDrNo3749vvvuO1y/fh2NGjVCrVq1NMfK\nTWT9DBs2DPv378eVK1fUObu0kHFMBHJyt2zrderUUZ9RK8IybtfR0VH3uN3PP/8cISEh2LBhA15/\n/XXs27dPOMa/riAT+aV/6tQpqwexajmI9OrVCx06dMC1a9cwatQolCpVSujzsvKwmDNnDjZs2IDd\nu3ejZs2aGD58uKY4eYl8r7Iuh8k69R0QEIAdO3Zg8ODB+PHHHzXdlSjjF+zjGDHPz5gxY9RLYGfP\nntV8qaVLly5YsmSJOv5Ry7iKJxH9bpo3b66ebX7ppZeED/hAzjP9duzYYVV823pwsre3h7u7u+Yp\nTfIaPXo0hg0bhnXr1qFNmzaYNm2aTWdqZ8yYgdDQUPVHg52dHerUqWPo/G7R0dFWl3+0bCshISG4\nceMG2rZti++++07TOEMg58zRqFGj1DFxWi59Tp48GZs3b8arr76KkiVL6vpuJ0+ejAoVKmD//v2o\nW7cuAgICsHTpUs3xLETWT3h4OG7evIm4uDg4OjpiyZIlCA8PF/6b3bt3R/369VGrVi28/vrrmq+W\n2NvbY9euXfD29sbhw4c17ct5nz85YMAATbkAQIUKFVC/fn1s2LABXbp0wXfffScc419XkImQcQnq\nl19+wcKFC9WBnSaTyWpAsJY8cg96FVW8eHG4uLigXLlyqF27NlJTUzWf/dBK1uUwWae+v//+e7Ru\n3RpOTk7o3bu3phidO3fW9LnCauLEieoA3ueff15znGXLlmHRokW6xj/KtHnzZoSEhKB+/fp45513\n0LBhQ+E7zhITE60enC3rbJ8WJpMJr732GhYtWoR33333sRPx5lW1alUsXLgQSUlJSE1NhYuLC8qU\nKVPA2T7Zjz/+qDvGvXv3cOzYMWRkZMDFxQUnTpzQNEntyy+//MgxcSIGDRqEr7/+WlcMi8uXL2Pa\ntGk4cuQIWrRoIa2gFxETE4O1a9eiT58+6Ny5s+YB/pbxeZYhM1rG5wHA9OnTMXPmTISHh6NGjRqa\nCt7HjdvVolixYjh8+DCysrKwZ88e3LlzRzjGv64gEzkl+f3331v9ugcg/Itt+fLl2LRpE/r3748h\nQ4aga9euwgXZhg0bsHz5cvWut2LFiuGXX34RimERFBRUIL+0RMi6HCbr1HenTp0QGRmJ+fPno1q1\namjdurU66LUwMOJGaFkDeKtUqYJq1arJTk8l+t1YOu0jR45g9uzZuHz5Mg4cOCAUQ+YPJL2ysrIw\ne/ZseHt74+DBgzaPmTp+/DhCQkJgNpvVQf1msxmTJ0+W+lgdkfUjYwzO424MsNWIESPwxRdfPPKm\nHNHJVF1dXREZGYnq1asLn0nNKzs7G0lJSTCZTEhNTZU2X5bI+pE1Z5eM8XkAUKlSJQwZMgQXL15E\nrVq1hIYRWO6U9vf3f2gb0XpWNTg4GPHx8Rg8eDDmzp2LwYMHC8cosgXZsWPHcOzYMfTt2xejR49G\nv3798OKLL2LWrFk2x1i6dCkWLlyo69e9vb09HB0dYTKZYDKZULJkSeEYa9euxerVq7Fw4UK0bdvW\n6te5qIL6pSUyF83cuXNx+fJl1KxZU53/RYtevXqhXbt2uHLlCgYPHqy5sGvQoAGqVauGF154AWvW\nrEFwcLBhBVlSUpLVQHN3d3fh+XmysrKsxlPcvXsXrq6uQutI1gDeEiVKYMCAAVbjH7WMrTt48OAj\n528SPfuxYsUKHDx4EElJSWjQoIGmS/YyfyDpFRoain379qF79+7YsWOHzWMoQ0NDMW/ePKu+7fr1\n6/j4448fmiPNFo+bOkakv5UxBkfvjQFffPEFAPHi61ESExOxYsUK9bWeM6kjR46En58fEhIS4OPj\ng8DAQKHP//XXX6hbt676Ojo6Gg0bNhSaE80yZ1dSUhK6d++uec48GePzgJyias+ePahbty5WrFiB\ntm3bPvLGn0dp0aIFAKg3sTxq2gpRs2bNUos5rc88LbIFWUhICD777DMAORvzuHHjsHbtWqHiSsav\n+1dffRX+/v64desWgoKCrHYKW1WoUAEVKlRAWloaXn/9dV2zLGv9pRUWFvbYX5v+/v5CG2BSUhK+\n+OILxMXFoXr16hg/frw6s7yIbdu2Ye7cufD09MS5c+cwbNgw9c5LER06dIC9vT3at2+PKVOm6LpE\np8ekSZNw4MABlC9f3urOO0vnkZ/85kQTWUeyBvDquZs2t3nz5j3y4CE6MH7v3r24e/cuWrdujSZN\nmtg0AD4vmT+QtLIcYK9evYpq1aohOjoarq6uuHTp0iOf5ZhXVlbWQ31hxYoVNQ8f0DN1jIWMMTh6\nbwx41BkTC9EzJzKGvFg0bNgQv/zyC5KSklCmTBmb19ORI0dw/vx5rFixQi2gsrOzsW7dOmzZskXo\nmbL169fHunXrcOnSJVSuXFnz8z1ljM8DgN9//x3r16+HnZ0dsrKy0LNnT5sLMst+7+XlhS+//FI9\nFolevcotIyMDp0+fhoeHh7p+RMe1FdmCTMbM3jJ+3fv7+yMqKgpeXl7w9PRE8+bNhfNwcXHBjh07\n1AO0ngfdav2lVaNGDc1/M6+JEyfCz88Pr732GqKjozFhwgRNB7WVK1fi22+/hZOTE1JTU/H+++9r\nKsg++ugj7NmzB7///jtu3bqFJk2a4K233hKOo9eZM2fw22+/aT4o5p7nTe+caLIG8MoaW6d3HiaL\nZcuWIT09HQcPHsS0adNw4cIF4bMhMn8gaXXgwAHUrVv3kZOe2rK+mzVrhv/+979488034eLigrS0\nNOzduxdNmzbVlI+eqWMsZIzB0XtjgIxpP2Re9uzTp89j+wNbzra5urri9u3byMjIQEJCAoCc72Ts\n2LE253D27FncunULc+bMUT934sQJhIWF4YcffrA5joWM8XkAUK5cOdy/fx9OTk7IzMzUdIUkMDAQ\nr732Gjp06IDo6GiMGzdOeBJti4sXL1oVdJwYNhd3d3eEh4erM3tXqFBBOIaXlxeKFy8OV1dXhIeH\no1+/fsIxrly5gosXL0JRFJw/fx7nz5/Hhx9+KBRj6tSpuHz5Mvz9/bF8+XLhGZZz0/pLq2bNmqhb\nt66UU/np6enqJcFWrVph+fLlmuKYTCZ1bh9nZ2cUL15cU5x3330XrVu3xsGDB7FkyRJs27YNe/bs\n0RRLD8tB3tnZWdPnZc3zBsgbwCuLrLtYf/31V/z+++84efIkXnrpJeF9EZD7A0kry1xJoaGhSE1N\ntRrnaothw4bh5MmTiImJwZ07d+Ds7IwxY8bgxRdf1JSPjKlj8o7B0XK2Qu+NAQ0bNgQA3LlzB4sX\nL1bHJ4nMTWW57Ll582Y8++yzuvKxnD368ssv0bJlS7z66qs4fvz4Q4+Ne5znn38ezz//PLp3747i\nxYvj8uXLqFy5slDxcvfuXWzbtg2JiYnqDwCTyST8mCFZhaqPjw9MJhMSExPRpk0b1K5dG3FxcShd\nurRQPkDOeraMYatTp46uoQfTpk2zmhz60KFDwjGKbEFmmdk7KirKamZvEb/88gs+++wzVK1aFd7e\n3hg3bpzwdfMhQ4agdevWcHV1Ff77lssSR48eBZBzqa9JkyaaJzsEtD/O4+DBg7p+keeWnZ2NM2fO\noHbt2jhz5ozmM0JVqlTBjBkz4O3tjSNHjmh6uCyQczfU9evX0aRJE4waNUrqoGZb5O5gWrdurV5y\nEp0s1KJChQr49NNPrQ7SoaGhQjGexkN3RbRv3x4bN27E+fPnUb16dXX2f1ExMTHo3Lkzpk6dqnm7\nmzp1Kq5cuSLlB5JeAQEBiImJgYuLi3qZ29ZLfV5eXvDy8pKWh96pY8qXL487d+7g3r17GDBggKb1\nI+PGACCnPW+//TY6deqEI0eOICAgAAsWLBCKERgYiIyMDDRv3hzvvPOOTZeS87Jcmbh9+zbatWsH\nAHjnnXeEL4fGxMRoHt7h7e0Nb29vxMbGqgW72WwW7hMshWpERITVpey4uDihOI87U6/luJieno6E\nhAS4ubnh9u3bmsazPeqysNlsxtq1a7FlyxahWEW2IDOZTLC3t4ednR2KFSsGe3t74RgyLntWrFhR\n84akRasAACAASURBVFxfei9LPIrWx3lYziTkPbD//fffwjlMnDgRgYGBSEhIQIUKFTTPzxMaGoqN\nGzfiwIEDqFGjBkaPHq0pzsiRI1GpUiVcu3YNVatWlTbvl620XAp8knHjxqF3795Wz3kTJWsAryxB\nQUFwdXXFm2++iejoaEycOFFowLjFBx98gDlz5mDBggVo27YtateujZdfflkohqOjI44cOaKePck9\nuerTFh8fjx07dgh/7klnJLT0LQ0aNMCDBw+wfft2eHt7axpzOHDgQGRkZKg/Xk0mk/DlYBk3BgA5\nB2rLGaAXXnhB05mTr776Sn0+59ixY/HgwQNdl+oiIiLUCb1FJ/CVMbwjLi4OFy9eREZGBmbPno3+\n/fujf//+Nn8+96XPTz75RB3jKnrp03I35dKlS9Xj0tmzZxEQECA87vDjjz+Gr68vXFxckJqaqulY\nJOOysEWRLcgCAgJQqVIlvPHGG4iJiUFgYKDwLO4yLns2b94cc+bMsbobzNYHRue+LCGL3sd5yHh4\nr5eXF5YuXYrLly+jevXqmk41AzkDkzMzM3XPsHzx4kWMGzdO11xxelg6mAsXLmDWrFnqgT4gIEBT\nvPLly2u+c9VC1gBeWS5duqQ+XLlVq1aax/oEBQXhgw8+wIIFC9Sz3rbO3WVh6VsaN26suW+RpV69\neoiPjxce47lp0yacOHECr7/++kP/ZtSYw/T09Ice5yRK740Blsd6lSlTRi0ujx8/rummox07dmD/\n/v04duwY3N3dNf+IBnIm9F60aBF+/vln1KxZU/hOUhnDO1atWoWlS5fC398fu3fvRr9+/YQKstyX\nPi1njrRc+rQ4d+4c1q9fj3v37uH777/Hp59+KhyjXLlyiIyMRFJSkua79HNfFtZ7ibrIFmS3b99W\n77Js1aqVpgk/H/dAYxHbtm1DjRo11NOyImdfLDtwZmYm7t+/j4oVK+LWrVsoW7as5gea6n2ch4yH\n965duxarVq1CrVq1cO7cOQwZMkTTYHx/f3/UqFEDTZs2xR9//IHx48druuV9xYoVuueKkyEgIABD\nhw5FgwYNEBMTg3Hjxmm6U6tSpUpYsmSJ1c0oth4MZA/glSU9PR33799HyZIl8eDBA2RnZ2uK8+DB\nAzRu3BgLFy5EjRo1NB2YZPQtsjg7O6Nbt25WTwCxZTzOZ599ht69e+PDDz+UcsOOjDGH3t7e2LNn\nj9UzaUX7J703BgQFBan/v27dOqxbtw6AtqdlhIWFwdHREQMHDsRbb72ladiKxYwZMzTPjwXIGd5h\n2VecnJzg6OiIrKwsoc8/6tKnHjNmzMCYMWOQlJSEzZs3a5qp//PPP0dycjK6dOmC9957T9OTdCwO\nHDiAxYsXIyMjQx0+8K8f1G+ZpLFy5co4fvw46tWrh9OnT6N69erCsR73QGMRjo6Omm/rtXSsY8aM\nwejRo9WCTMsZM8u8L8HBwYiIiND8OA8ZD++NiIjAjz/+iOLFi+P+/fvo3bu3poIsOTkZY8aMAZBz\nYNT6S0vGXHEylCxZUh2M//bbb2u+2SEzMxMXLlywenC8rQWZrAG8slkusdSqVQvnz5/HiBEjNMUp\nXrw49uzZoz6QXqQTl9m3yHLo0CFER0cLP8fP3t4es2bNwr1796TkIWPMYWJiIqZPn251yVJ0DKXe\nyTllTlWxfft2XL16FXv37sWwYcPw4MED4bOxFnqnVJAxvKNq1arw8fHB+PHjMX/+fNSuXVvo8yEh\nIQgKCkJISMhDBa7IeraMuQVy+rozZ86gb9++wnEAYNGiRUhISMAPP/yAfv36wdPTE9OmTROKYbF0\n6VLdTyUpcgWZ5ZKToig4dOgQ7OzsYDabNd+Bp5e7uzsWL14MLy8v4bMVFlevXlVX8rPPPosbN24I\n5/HJJ58gIiICH3/8Mb788kvhz1vIeHhvuXLl1DF9JUqU0HzJsmbNmoiJicGrr76KM2fOwN3dXb18\nKdJZyZgrToaKFStiwYIFaNSoEWJjY+Ho6KgW5SLbTGhoKC5cuIDLly+jdu3aQpfaZf+KlcXNzQ2b\nNm3ClStXULlyZc2P+ZkyZQpmzpyJO3fu4Ouvvxa6zJG3bylWrBgyMzMN61sAoHr16khMTNR0qaRK\nlSr466+/pOSRd8yhlh+y8fHx2L59u6480tPTkZiYiMaNG6NatWrC4wMtWrRoYVU0uLi4CI//io2N\nxe+//479+/ejRIkS+M9//qMpF0D/lAoyhneEhoYiLS0NTk5OqFu3LsqXLy/0eUv+esfMWj5veSi4\nXllZWcjIyIDZbNY01txCxrylJsWI57I8Bb///jtCQkLg4uKCe/fuISQkRGhWYlnGjx//0HuiZ7gm\nTJiAjIwM1KtXD0ePHsUzzzxjdWrdFv7+/jhw4ABSUlIeKoBEbjk2m824ceMGnnnmGXz33Xd44403\nrC4x2KJfv374+++/Ub9+fZw8eRJZWVnqGDuR0/Lvvvsu7t+/rx4YLbScKo6KisLZs2c1zxUnw6O2\nFQuRbWbNmjX47bff8M8//6Bz5864dOmS8PbyqPmPjHpeI5DzVAbLGDKjWc6OWVhmPTdC69atce3a\nNXVcKCC2P48aNQrXrl1Dhw4d0KFDB12X1f755x91YlotBXNISAg6dOhgdeen6AHX19cX48aNwyuv\nvIIjR45g3rx5muY4tJwNVRQFJ06cwM8//yx85+iwYcPwzjvvoHnz5rq+19wSExNRunRp4cJhyJAh\nqFGjBl555RX88ccf+Pvvv4WHd5w6dQobN27UfPf2kwoxLXMKdunSBR4eHmjdujWaNWuGEiVKCMfo\n27cvMjIy0K1bN7Rr107XJcuRI0ciNTVV17ylRbYg6969OxYvXoyyZcsiISEBQ4cO1Xy6WAvL42se\n9Zw70U4mOTkZhw4dwsWLF+Hp6YlWrVppzis4OFh4dvPcrly5gl27dlntlKJzOUVHRz/234w4sFnu\nhMq9rmy98aIg/f3335puJPHz88PatWvx/vvvY/Xq1ejatSs2b94sFCM+Ph5AzgEpNjYWp06d0nyT\ngQy9e/fGM888o3ti2EWLFmHZsmVWnbetBcyRI0cQFxeH5cuX6769vTD5559/sGXLFuzYsQNly5ZF\njx49HjnY/0l27tyJb7/91qpfEH1Gbvv27ZGWlqa+1vLDytfX1+qyVZ8+faRchtTyg+DmzZtITU2F\nvb09li5dij59+lg9QUDEoUOHEBgYCBcXF9y9exdTpkzBm2++afPne/bsqY6He9RrW3Ts2PGhu7dF\nJtB+0g0WWieQjouLQ2RkJHbu3Ily5coJX/2xTL8kw6PaJ9quInfJ0sLJyUm9a8LNze2pjwsKCAhA\nWFiYepkDgOaBfoMHD5Y2MWd8fDxu3ryp7lT9+/fHV199ZfPn9cyrZuHl5fV/7d15XM1p+wfwz0kl\nElKKVFSyjMcw1FhmjCeyDi20iMiSZQhjGwplz6AZXrYmaxgkRKMwssWYQQZhNNEipIVKDm2nvr8/\ner7fX6V59F10Tue53q/XvKaOzt1dneX63vd1X5ckAdBvv/2GvXv3VnoTELKKI7YhsVSkOMEK/P/j\nTGj7DqByZwYrKyscPXqU9xhScnJyErWdwGKL/gp5PWjcuDGys7MlOd4ulb///ht+fn7IzMyEoaEh\n1qxZw7u22MuXL5Geno7c3FxYWVnh7NmzCA8P57WC8v3332PFihW8+qVWVbFeWGlpqaC/d+PGjREW\nFsadjOd7ipxVsVVcVlaWoJy4+fPnw8fHBwcPHsSgQYOwZs0awcHhxo0bcfDgQRgbGyMzMxM+Pj68\nAjIp0jvEnt5mgxOFQiFJTcGHDx/i2rVrXAFWvjs1AHD79m0sWrQIRUVF3OtmdHS0oPkMHz4cERER\nSE9PR8+ePWFtbc17DLULyNhl0dLSUkydOpWrbCzFXjMf7Nbbxo0bRVfvbdKkCUJDQyutDgg9Qv3i\nxQvMnDkTgYGBaNu2bbUreP+NmLpqLKkCoMDAQPj5+YmqtwWIb0gsFSlOsALAsGHDMGbMGKSnp2Py\n5MmCVlTDwsK4j7OzsyVL/hYqOjoau3fvFj2OqampoK0N4P+Pt7u5uQlaufwYVq1ahdWrV6NDhw54\n+PAhli9fziux2dXVFTo6OnB1dcXs2bO510k+5QwAwNramveqWlWRkZGoV6+e4DpXQPnJu+3btyMm\nJgZWVlZYs2aNoLlUvCDp0KGDoFZqMpkMtra2CA4Oxtdffy1qh6ZevXpcnqCxsTHvvMVbt27h6tWr\nldI7Bg0axGuBQMzp7Yqkqino6ekJMzMzzJkzR3Bnkn379iEkJETUhQQrICAARkZGuHbtGjp37oyF\nCxfyXiVWu4CMLUhYsTAh26anNklZvVdfXx8JCQlISEjgbhMakLVo0QJr1qzB7Nmz4evry/t0lpi6\naiypAqCWLVuid+/eoscR25BYKlKcYAXKX6h69eqFxMREWFhYCGqgza4AAeW/i40bNwqai1QaN26M\n8+fPo02bNtxFiZDioyUlJRg+fDjXQF4mk9U4b5Ft/TJixIj3/k2KlmJCsX/fjh078n4+r1+/vtpT\nonxWzYHy11h3d/dKgQzfXFmxda4AoFmzZrCzs8PTp0/RpUsXwStkgwcPRlhYGFJSUmBtbS0oiFco\nFFi/fj1sbGzwxx9/iOqw0qhRI+zfvx+2tra4efMm7wCi4kq70NVHMae3K5KqpuD169e5QHP37t0w\nMDDgfWCgffv2aNmypSSr72lpaVi9ejXi4uLQr18/hISE8B5D7QIyqZoZiyVl9V4pquOzGIaBqakp\ngoOD4ePjU+mNtybE1FVjSRUAGRgYwN/fv9IJVnd3d97jsA2J2RN0QraVpSD2BGt1Vc2TkpIQExMD\nHx8fXmP5+Pjg2rVr3Btb8+bNed1faq9evcLevXu5z2UymaDtaSG9K1ls6xdlBl9VaWho4OLFi7Cx\nscHNmzdr/DwS27S6qv3798Pb2xt6enq878tigx6hda4AaQrUAsC8efNgaWmJPn36CK5xGBgYiN9+\n+w2urq6IiYkRVTx4/fr12LZtGzZu3AhLS0veK39SrD4GBgYiMTERjx8/hoWFheB8OKlqCubn5yMj\nIwPp6ekoKCjgXbMOAHr27Al7e3uYmZlxr/1CDy+VlpYiJycHMpkMcrlc0Da32gVkqoLd3jA1NcWw\nYcN4X7lWJFVuEVB+PB0oX43ZsWMH75UPMXXVWGwAxBIaALHVs1++fClqPocOHap0JZ2eni5qPKEW\nLFgAuVyOwYMHIyIignchSPYYekxMDExNTdGtWzfcu3dPUJkUqd7YpCJVfag3b97gwYMHmDVrFiZN\nmiSoPMOjR48QEBCA/Px8ODg4wNraWmknc9esWYPvv/8eQUFBsLKyqnFdQbFNq6syNDTkei0KZWZm\nJqrOFSBNgVpAmhqHK1euxMCBAyGXy0X/bvT09LBw4UIcPXoULi4uvO8vxerj/v37cerUKXz66afY\nvXs3hgwZwnsMoPxkoxQ1Bb29vWFvb49p06YJytcCylMzNm7cKOpCgvXtt9/Cw8MD2dnZcHd3h5+f\nH/9BGPJRrV+/nnFwcGDWrl3LPH78WNAYDg4OTFFRERMQEMCkpqYyEyZMEDyfcePGMS9evOA+nzhx\nIq/7L1myhAkODmZiY2OZK1euMFeuXBE8l5cvXzIKhULw/RmGYS5evMiEhIQw586dEzyGg4MDk5CQ\nwDAMw5w5c4YZPHiwqDkJNWrUKEnGqfr4GD9+PO8xRo8ezTAMw3h6ejIMwzCurq7iJybAzJkzGYZh\nmC+++KLSf19++aWg8ZycnJj8/HyGYRgmPz+fcXd35z3GuHHjmNTUVMbT05N59eoV4+zsLGguqmDc\nuHGVPh87dqygcWbOnMlMnDiR2bBhAxMUFMQEBQUJGkculzMMwzBZWVmC7u/u7s4UFhYyY8eOZRQK\nhaC/L8MwzNKlS5m4uDiGYRgmISGBmTdvHlNcXMwUFRXVeIyMjAzm559/ZqZOncpMmDCBCQ0NFTSX\nioT+fcaMGcPk5OQwM2bMYBiGEfR7cXNzY0pKShiGYZji4mJmxIgRgubCMAyTm5vL3Lt3j8nNzRU8\nRnFxMfPnn38yN27cYK5fv8788ssvvMeYNm0aU1paKngOVT1//px59eoVc/fuXUH3pxWyj2z+/PmY\nO3cuYmNjsXHjRmRnZ8PNzQ3Dhw+vcYNYqXKLAPFJ/QqFAqmpqUhNTeVu45tHIPYINysoKAhPnjxB\nt27dcOLECdy6dUtQaYagoCAsXrwYBgYG0NTUVFq9K6kOb+Tl5SEtLQ3m5uZITk7GmzdveI8hReV1\nKbDbhMuXL3+vrIIQmpqa3NWwnp6e4J+rdevWkMlkaNasmeA8JSmIKePBEtO0miXFCqEUK49SFKgF\npEmCNzY2RufOnZGfn4+YmBhER0dzFeWFYgRWqZJi9ZFhGG6nR0tLS/Bj5c8//8Ty5cvx8uVLGBsb\nY/Xq1YK2P2fOnImSkhJkZWWhtLQURkZGGDZsGK8xiouLudU6dgtfaIsqf39/tG7dGpMmTcK2bdsQ\nGRmJJUuW8BqDArKPjGEYXL16FSdOnOAKMObm5mLatGk1TpyVojp+xbHEJPVbWVlhxIgRghuxAuKP\ncLNu3rzJnSjz8vKCm5uboPmwL3LFxcXQ0tKSJMFTCKkOb/j5+WHGjBl49eoVWrRoIajp7rhx4yR5\nY5PKunXrsHLlStEFNj/99FPMmzePK4vAt0QEUB44Hz58GAUFBYiKipKs6KcQYsp4AOKbVt+7dw+d\nO3eWJMdw1apVCAwMxJIlS+Di4gJvb2/eAdmQIUPQu3dvUQVqgf9Pgn/16hX09fUFBe6ff/45TExM\nMGXKFOzZs0fUtlhkZCQcHBwEt/URW2UfKO9oMmvWLHTv3h23bt3CZ599Jmguq1atQlBQENq2bYvE\nxET4+/vzbnkEALm5uQgLC8PixYuxdOlS7vAcH1OnTuV9n3/y119/YcWKFQCAJUuWYMyYMbzHoIDs\nIxs4cCBsbGwwbtw4dOvWjbv98ePHNR5jxYoVePHiheDcoooYkUn9urq6mDFjBpo3b46RI0fiq6++\n4p3YL/YIN0uhUKCsrAwaGhpcQqYQ3377LdauXYvOnTvjzJkzGD16tOAcPTGqlhPR1NRESUkJ7ytR\nGxubSjWdhPj5559x6NAhpKamwtTUVFQALgVra2tJigYvXboUMTExSElJwZAhQ9CvXz/eY6xZswbB\nwcHQ19fH/fv3Bb9JSkFMGQ+gfPV9+vTp3MpjQUEBryDm999/R+fOnat9vgi5mBC78njp0iUcOnQI\nBQUF3G1CkrSlWMUPCQnBlStXcPToUZw5cwa9e/cWfKLwyJEjcHBwENQUHMB7K3NaWlpo0aIFvvnm\nGy4X90MWLlyIS5cuISkpCSNHjhRcakJPT487pd+uXTvBj1/2fgUFBdDR0RH0+v/JJ59gx44dyMrK\ngp2dnegisbm5udDX10d+fr6gwwoUkH1kY8eOxaFDhypVpz9//jyvI+GRkZHcx3p6erh//36lshN8\nVEzq37lzJ3788Ude9/fw8ICHhwcePXqE4OBgBAQEYOTIkRg3blyNj2KLPcLNGjp0KDw8PNClSxfE\nx8cLTpwNCwtDo0aNkJOTg4EDB1aqG1ebpk6diszMTFhaWiIlJQUNGjSAQqHAggULeDVfP3HiBEJC\nQipt7/E9NCGTyeDr6yu6Mr5UpCirAJS/YMbFxSElJQX5+fmwtbXlvXIREBAg6qJISmLKeADAsmXL\nEBsbCyMjI+6ihs9qxZQpUwAA3bp1q1Q0VEgQJMXK46ZNm+Dr6ytoBagiKVbxu3btipYtW8LIyAin\nTp1CRESE4ICsuLgYTk5OlZ6PfP7OrVq1Qrdu3dC9e3fcuXMHFy9eRNeuXbF48eIat5Z6+vQp0tLS\nUFZWhsTERCQmJgo6tWxgYIDFixdzPXvLysq4uod8TskPHDgQW7ZsQYcOHeDm5iao7ZGfnx+++uor\n3Lx5E4aGhli8eDEOHDjAexwAmDFjBkaOHImmTZsiPz9fUEccCsg+srCwMNEd4NkSEwzD4OHDh2ja\ntKng1j5yubxSk1y+wUd+fj6ioqJw8uRJ6OnpYfHixVwR3pq+kLNHuH/88UdYWloKemMFyq/6vvzy\nSyQnJ8PFxUVwgdgHDx7Az88PjRo1wps3b7By5UpBR6jFMjU1RWhoKJo1a4bXr19jyZIlWLlyJSZP\nnswrINuxYwe2b98u6jE3cuRIwff9GKQoqwCUX+Xb2dnByckJcXFxWLhwIbZt28ZrjOLiYiQkJMDC\nwkJUNwQpiCnjAZT35YyJiRGcS3fq1ClcuHAB169fxx9//AEA3Bs233ypqiuPQoq6NmnSRJKVVClW\n8Z2cnKCvrw97e3ts2LBBUAN4FnviU6j09HTuddbS0hK//PILXF1dcfLkyRqPIUWXFvb7A+X1yBo1\naoTPP/+c904NAAwYMIAr0Ny3b19Bjb3z8vLg4uKCyMhIdOvWDWVlZbzHYBkaGuLcuXPIzc2FgYEB\nbt68yXsMCsg+Mik6wM+bN4/7mGEYUfveYoM7FxcXODg44IcffqgUtDx8+LDGY+zfv79S8n1QUFCl\nn/FDsrOzIZfLsXDhQqxbtw7t27dHWVkZJk6cKKjFj1Q5bWK9evWK2xps0qQJXr58iaZNm/J+s5Ti\nMacq9fxYUpRVAMprILGtWjp06ICzZ8/yHiM1NRXTp0/ntieUVbcOKN9y2bp1K5KSktCmTRtMnz6d\n1/3Nzc1RVFQkOAetT58+aN68OfLy8rjVDQ0NDZiZmfEea9++fZUCDz6vC+wKi7a2NpYuXYpOnTqJ\nqk0oxSr+3r17kZubi7S0NDAMIyqtQuzWWklJCa5cuYLPPvsMf/75JxQKBZ4+fVppa/dDpOjSArxf\n49DCwkJQwOvr64vi4mLY2dlhwIABgrc+2ffEjIwMQfnDUhaBp4DsI9PR0YG3t7eoDvAVT0JmZ2fj\n2bNngucjNLhj5xAZGckFCOxt2tramDNnzgfHCA8Px9GjR5GUlITY2FgA5Q/ckpISXgHZ3bt3ERoa\nipSUFCxduhRA+ZuA0O4FUuW0idWpUyfMnTsXXbt2xZ07d9CxY0dER0fDwMCA1zhSPOZUjY6ODiZN\nmlSpCDCfn4mtLq6vr4/o6GjY2toiPj6+xvkzFc2fPx8rVqxA69at8e7dOy6RVxn8/Pxga2sLBwcH\n3LhxA4sWLUJwcHCN75+RkQE7OzsudwsAry3LJk2aoEePHujRowd+//13pKWloUuXLmjatGmNx5Di\ndYFdYbl69SqmT5/O1SYUeiq34iq+0BZMp06dwrlz5/D69Ws4OTkhLS0N/v7+guYjdmtt7dq1WLdu\nHQIDA2FtbY01a9bgzp078PX1rfEYUnRpAaSrcbhr1y7I5XLExsZiwYIFKCwsrLT7UxOLFy+Gn58f\nkpKSMGvWLEHbjFIWgaeA7CMTmvhY0eDBg7mP2TcmoSoGd1lZWTUO7qo2SWfxWR1wdHREr1698NNP\nP2HatGkAygMpvgGHvb097O3tcfnyZVG/3zdv3kBPT0+ynDaxAgICcP78eSQnJ8PR0RF9+/ZFcnIy\n75NmUjzmVI3YsgoV3wgPHz4s6FQXa8uWLQgPD0ezZs2QnZ2NGTNmiOpTKEZubi7Gjh0LoLx1Uk1X\n/MLDw+Hq6goTE5NKK91CV3DEvMlK8bpgbGzMnUS/cuUKgPKgTqFQ8LrYYy1btkx0nmBUVBR+/vln\neHl5Yfz48aLSAMRurZmbm2PWrFlclX0zMzPeq5hSdGkBpCveGxMTg2vXruHu3bswMTERdEHevn37\nSn17hZCyxy0FZB+ZFFs/Favai8UGd7m5uWjRokWNc1CkmIO2tjZXQb7i/rqmpiZatGgBGxsbXuPt\n3LmzUukQvieHpkyZgkOHDsHIyAgvXrzg2pIIzWkTSy6XIz4+HllZWWjdujWePHlSKYm9poYPH46I\niAikp6ejZ8+egqtYqxKxzyO20n9ERESlAw9C3lR0dXW5reXmzZsL3u6TQlFREbKzs9G8eXO8fPmy\nxm/UbL6lkKbZ1RHzJsu+Lvj7++P+/ftQKBRgGAa3bt2qcV0pR0dH9O7dG8HBwaIu9lhS5AmyW5RS\n5RmK2Vrbt28foqKiRFXZl6JLCyBdjcOgoCBoa2tjypQp6NOnD6/ctn79+lV67mtqakKhUEBbWxun\nT5/mNQ8pe9xSQFYHDBo0qFJfN01NTbRs2RILFixAp06deI0VEBBQabulpsnrK1asgL+/P9zd3d97\nE+O72hAdHY2CggJ89tlniI+PR1FREerVq4dOnTrxajfBBndCTw5pampi5MiRePLkCaysrACUv7FM\nmTJF1AqKUFKd+AkICICRkRGuXbuGzp07Y+HChdixY8dHmHHds3PnTsGHbNgVH/YQC9tuSFkJ/QAw\ne/ZsjBo1Cnp6epDL5TVuncQGYlLlCkrxJium0Ke2tjZatWpV45//Q1JTUzFt2jTk5OTAwMAAGhoa\nvPMEhw0bhjFjxiA9PR2TJ0+Gvb294PmI3VpjV+vYUjqjRo3iHZCZmJjgp59+qpQ2IGRVqmrxXiH1\nwwDg9OnTePbsGa5evQofHx8UFhbWeKX6zJkzYBgGy5cvx6hRo/Dpp5/ir7/+wsGDB3nPgy1effny\n5UqBslwu5z0WBWR1QI8ePTB48GDY2Njg9u3bCA8Px8iRI7Fq1Srey71Ct1vYZGEp+hkqFArs27cP\nGhoaKCsrw+TJk7Fr1y7eR8LFnhzau3cvMjMzsWzZMkG5A1KT6sRPWloaVq9ejbi4OPTr1w8hISES\nz7TuEnPgwcLCotL/gfJyHMr0xRdfYP/+/dDR0cGzZ8+UVrJFigr5UhT6lMrMmTOxdu1aWFpaQi6X\nCyqu7OnpiV69eiExMREWFhbo0KGD4PmI3VqTosq+FF1agPL3M7Z4r5gahw8ePEBsbCx+++03X67c\nyAAAHgBJREFU6OjoYMiQITW+L3sR9fTpU+4588knn3C5pkJ4eXnhhx9+gJGREeLj4+Hn50dJ/eoo\nJSUFvXv3BlD+YN62bRt69eqFLVu28B5L6HYLW9dHoVDgzJkzXDuRrKws3knNeXl53PKwQqHA69ev\nAYB3GyexJ4fq1asHExMTlQpYxJ74AcpXK3JyciCTySCXy5XW9kgViTnwoGonTwFp2rVIQYoK+VIU\n+pTKtm3bEB4eDgMDA7x8+RLTpk3jHXy8ePECFy5cQFFREZKSkhATEwMfHx9eY0i1tSZFlX0pas0B\n5U3BzczM4ObmJqrg9Pbt2zFgwABs27ZNcCkOPT09bNy4kWsdJqbjxIwZMzBlyhTY2tri/v372LRp\nE+8xKCCrA7S1tXHo0CF89tlnuH37NrS1tXH//n1elYCl2m6ZN28eBgwYgD///BNGRkZ49+4dr/sD\nwOjRozF8+HBYW1sjOTkZ3t7eCA4O5p3Pwp4cWrNmDdq1ayfo5JAqkeLED1DeecDDwwPZ2dlwd3fn\ntQ2s7tTtwIMU7VqkIEWF/IEDB2Lr1q2iCn1KpWnTplz+maGhIRo1asR7jNmzZ6NXr16i6gFKtbUm\npsq+lLXmAOD48eO4d+8ejh8/jh9++AH29vb45ptveI8zePBgbks7Ozsbvr6+2LlzJ68xNmzYgMOH\nD+PSpUto27atqLIe1tbWMDAwwLVr1/Dll18K6qpAAVkdwPabu3DhAqytrbFu3TrEx8fzatki1XZL\nw4YNMXXqVKSmpiIwMBCjR4/mPYarqyvs7e25Btj6+vooLS3lvSJkbm7+3iqhkPpHqkKKEz9AeQ+9\nqKgoZGVloWXLlkpdaVA1qrjKJZbYdi1SkKJCfv/+/WFsbAyZTIa+ffvy7rMrJV1dXUyaNAm2trZ4\n8OABCgsLuYvamq6o6urq1qgc0H8jdmut6utJo0aNkJGRgbCwsBrXZ5Oy1hzL2toaXbt2RVpaGuLi\n4gSNcfLkSejq6qKoqAg//vgjZs2axXsMTU1NaGlpQVNTE9ra2qL6GI8ZMwYLFiyAvb09du3aBXd3\ndxw/fpzffAR/d1Jr9PX10bdvX1haWqJLly5o2LAh7yt9qd6IZDIZsrOz8fbtW7x7907QCtnDhw8R\nFhZWqUaQkJONwcHB2LlzZ6WCgHxPtaiC/7YVIuTn+fXXX7F27Vo0adKEy39RRqFb8vH5+PjAxcWF\nC7qVlQsppkJ+YmIiMjMzsWHDBq52U2lpKX744QdeleSlVDEBX2iFfWtra0RFRVXaHq94QcyH0K01\nIRXwq2JrzX3++ed4+/YtZDIZzp07J/j0tq+vL+7evYtBgwZh+fLlgmoBAsDmzZsxbdo0FBUV4dCh\nQ4K2PxcuXIhWrVqhd+/euHXrFvz8/PD9998Lmk9oaCh3ennSpEno0aMH7zEoIKsDpCqkJwUfHx/E\nxMTA0dERAwYMgIODA+8xFi1aBE9PT8GtjljR0dG4cuWKUssOSEHqILK6/BcKyNRTw4YN0aBBA5SW\nlmLgwIHIyMio1e8vRYX8/Px8REdH49WrV1yTcplMJmj1XSpSXMA+fPiwUgcTmUwmOO9q3bp1OHLk\nCC5dugQrK6sab61VzFm7cOECUlNTYW1tLajcydy5c/Hvf/8bt2/fRllZGc6dO4etW7fyHmfAgAFY\nvXq14NzWuXPnco8xHR2dSrtFfGvHvXz5kuvnbG9vD09PT0FzAsrrWs6dOxf5+flwcHAQFLBSQFYH\nSFVIT4yKyaUMw0BLSwv169fHpUuXKrVBqglDQ8NKyaFCmZqaCm6XoYoePXqEgICASk9oIQVRpch/\nIXXDpk2bcODAAcyaNQvTp0+Hh4eHJM+tmpKiQr6NjQ1sbGzw4MEDroxPWVlZnT+M0rdvX3h7e0sy\n1qxZs7B7927B91++fDny8vLQtWtXhIeH4/fff8d3333Ha4ysrCw4Ojri6NGj2L9/P++TtBUDKTbw\nZvEJpNjT+C9evIBcLse///1v7NixgyuQXBPsATJTU1PEx8fj008/RUJCAtq0aVPjMapatWoVAgMD\nsWTJEri4uMDb25v36zcFZHWAVIX0xPin5FIhwWGrVq0QEhJSaSlfyPHpkpISDB8+HO3atQNQfgUq\ntrq2MknxhAakyX8hdYOGhgbXpqh+/frQ1dWt1e8vZYX8pKQkpKamori4GOvXr8ekSZNEdSVRttjY\nWEyYMEFUXhKrcePGiImJgYWFBff6z2f7MyEhgXut9vLy4l1iCCh/vf3111/Rtm1b5OTk4O3bt7zu\nL+R7VofdGvf09ISPjw8OHjyIuXPn4vDhwzUOEtnOMwzD4Pr169DS0kJJSYnotnlsC7JmzZoJei5S\nQFYHSFHjR6x/Si5NTk7mPVZJSQlSUlIqJaYKCchq2mWgLhH7hAakyX8hdYO5uTmCgoKQl5eHkJCQ\nGhd6loqUFfL37duHHTt2YO7cubh06RImTpxYpwOy3Nxc9OnTB6amplzFfqEFp1+9eoVNmzbh6dOn\nXO0uPtufJiYmyMjIQIsWLfDy5UtB6SLe3t6Ijo7GokWLsH//ft6N7NlASi6XY+vWrUhKSkKbNm14\nj8OSyWSwtbVFcHAwvv76a17ty6TsfsNq0qQJDh8+jIKCAkRFRQkqxUEBWR0gRY0fqYip26JQKKCp\nqSm6/cbFixdhZ2eH5OTk904QCk0sVgVVn9BCe2pW1zpJTL0forqWL1+O8PBwdO/eHQ0aNJCsUn1N\nSVkhn12d0NXV5WoU1mV8mrx/iIeHBzZt2oTevXsjMTGx2jY91WEvdIuLi3Hu3DkuMBPyHjJw4EBY\nW1vj77//hru7u+CLPT8/P9ja2sLBwQE3btzAokWLBP2uFAoF1q9fDxsbG/zxxx9cbcyaYDvPVLdq\nJzRoXrNmDYKDg6Gvr4/79+/zqoLAooCsDpCixo9UKtZt4ZNcCpSfaAkKCnqvUTmfBuVAeSV6AFy+\nirpo164dnj9/jmbNmuH+/fuCgyhqnfS/Q1NTEx4eHsqehiTMzc3h7u4OX19fbNmyBe3bt1f2lESJ\niIh47za+hWFZoaGhOH78OHR1dSGXy+Hl5QUnJ6cP3u9DB4ZiYmJq3NLpwIEDOHfuHF6/fg1nZ2c8\nefIE/v7+NbpvRbm5uVy+V8eOHXH27FneYwDlJ/N/++03uLq6IiYmhtfpSPYUb9UVZTElggICAkSn\nzFBAVgdIUeNHKg0bNsTEiRMF3Zd9sIpdLj5z5gy8vLyQnZ0tSbNbZQsPD8fRo0eRlJTE9dSMi4sT\nvEJArZNIXTRnzhzo6upCV1cX//rXv0RVTVcF7Os1wzD466+/BLdCA8oDBTaFoVGjRqJznVj79u2r\ncUDG9sP08vKCl5cXRo4cKeh7FhUVITs7G82bN8fLly8F/17atGnDJeEPHTqU1327du0KQHgZkupI\n0ZCeArI6QEyNH1UUHh6O0NDQSit+fFbItLS0uKbgf//9d6V/U0ZTcLEcHR3Rq1cv/PTTT6LzcABq\nnUTqJl9fXxQXF8POzg4DBgxQ9nREq7odJubEpZmZGdauXQsbGxvExcUJqgJfHYZheH0tmwsH8A82\nWLNnz8aoUaOgp6cHuVxe69vswMcpEJ2amorp06dzhZr57vwAgIzh8xchtYqt8XP+/HkYGxsLqvGj\nikaMGIHNmzdXugLm8+R+/PgxGjZsWG1T8FatWkk2z7rqxo0bWLp0KbKzs9GyZUv4+flRHTJSJ8jl\ncsTGxmLfvn0oLCzEiRMnlD0lwSoeWsrOzsayZcsQHR0taCyFQoGwsDBuFd3NzU1Qg/Cqxo0bV+P0\nl3379uHs2bN4/vw5rK2t0bNnT0GHLhISEtChQwfk5OSoVW7r5cuXsWLFCujp6eHdu3dYsWIFevbs\nyWsMWiFTYVLU+FFF+vr6ogInX19fhIeHQ0tLiwKwanz++ec4e/YscnJyuCs1QlRdTEwMrl27hrt3\n78LExETQyWtVUjG/qn79+rzrNVakqamptD6lrBMnTsDc3BxjxoyBlZWV4By/jRs3Ii8vDyNGjMCw\nYcOU2rNUSlu2bEF4eDiaNWuG7OxszJgxg9fJT4ACMpUmZY0fVcDWwiouLsakSZPwySefcMECn/pY\nZmZm6NWrF+Ry+Xsv2nWxdZJUxo4d+4/Bl7IOgRBSU0FBQdDW1saUKVPQp08fQWUDVMn+/fuRm5tb\nqVSFquGzQXb8+HEkJSXhwoUL2LdvHwwNDd/rJVwTwcHByM7OxsmTJzFx4kRYWVkJOpGoanR1dbm/\ncfPmzQV1kKGATIVJWeNHFVTX4FwINrBbvny50nr3qSL2gMPWrVvRv39/dO/eHfHx8bh48aKSZ0bI\nh50+fRrPnj3D1atX4ePjg8LCQt4rDKrk9OnT2LhxI6ysrPDo0SP4+PjA0dFRafNJTU3FkydP0L59\ne66J+4QJE2p8/4cPH+LatWv4448/AACWlpaC56JQKFBcXIyysjJJCucqE/t+VFpaiqlTp3Kvu0Jy\n7CiHjNS6d+/eIT8/H/Xq1cORI0fg5OQkaOsxIiLivRWhmhwFV3deXl4IDQ3lPueTJ0KIsjx48ACX\nL1/GtWvXoKOjg/79+9fpkh7u7u7YvXt3pVIVx44dU8pcKpascHJyQlpaGu+SFd27d4eZmRnmzJmD\nvn37Cp7LuHHjUFxcjEGDBsHNza3Wu0tIrbryJiy+hwdohYzUulmzZsHDwwNnz55F27Zt4e/vj127\ndvEeh+0SwDAMHj58iKZNm1JA9h/h4eFc8V4pkn8J+di2b9+OAQMGYPv27dDT01P2dET7WKUqhKhY\nsmL8+PGCSlZcv34dt27dwtWrV7F7924YGBhwq0N8DBgwAGFhYThy5Ajy8/NhYmJSq/1XpSbliU06\nD09qXWFhIfr164eMjAxMmTIFpaWlgsaZN28e5s2bh/nz52Pnzp148+aNxDOtmzZs2ICEhASsW7cO\nKSkp2LBhg7KnRMgHrV27FsnJyVizZg1+/fVXPHnyRNlTEoUtVRETE4O1a9dKVqpCCClKVuTn5yMz\nMxPp6ekoKCgQ3KbrzJkzOHDgAAwNDTFt2jRB/ZDVFa2QkVpXUlKC0NBQdOrUCY8fP65Uj4yP4uJi\n7uOsrCw8e/ZMqinWac2bN8f06dO507gFBQVKbbdFSE34+fnhq6++ws2bN2FoaIjFixfjwIEDyp6W\nYPn5+bCwsMDvv/8OS0tLpR7EGjZsGMaMGYP09HRMnjy5xsVgK/L29oa9vT2mTZsGa2trwXPR0NBA\n06ZNIZPJUL9+/Tq/ZSklCshIrfvuu+9w/vx5fPPNN4iMjMTixYsFjVOxBVP9+vVFFV5UJ8uWLUNs\nbCyMjIy4K+O6WDCX/G/Jy8uDi4sLIiMj0a1bN1GV7VXBd999h2PHjiEuLg46Ojp4/vw5V1m+tnl6\neqJnz5549OgRLC0tBZWsOH78uCRzMTc3R1BQEPLy8hASEiJ4pU0d0ZYlqXXdu3fH+PHjIZfLYWdn\nJ3jLctq0adDR0QHDMCgsLMTWrVslnmndFB8fj5iYGBw+fBhhYWEUjJE6IykpCQCQkZFR50/fWVlZ\n4bvvvsOePXuQkZGBYcOGYcKECbh9+3atz+XIkSM4duwYhgwZgu+//16pBXeXL18OExMTdO/eHQ0a\nNFBKpX5VRacsSa3z8/PDnTt3UFBQgIKCApibmws63i624r+6+vbbbxEYGCioDg4hypKYmAh/f38k\nJSXB0tISAQEB+OSTT5Q9LcEuX76MiIgIJCUlwdHREc7OzlAoFJg8eTIiIyNrdS7Ozs4IDw+HpqYm\nSkpK4OnpyXWCIaqDtixJrUtISEBUVBT8/f0xZ84czJ49W9A4Yiv+q6uMjAzY2dmhdevW3JYurZIR\nVffXX3/h9evX0NPTQ3Z2NmbOnMm7F6AqiYyMhIeHB3r06FHp9pkzZ9b6XDQ0NKCpWf52r6WlRd07\nVBQFZKTWsQmd7969E1S9WqqK/+omPDwcrq6uMDExqZSXQS++pC7YsWMHgoOD0bJlS2VPRRJBQUHV\n3q6Mxun9+/fH6NGj8emnn+LBgwfo169frc+BfBgFZKTW/etf/8KuXbtgZGSEOXPm8D5lKVXFf3XT\nokULAECfPn2UPBNC+DMzM0Pr1q2VPQ21NH36dNjZ2SElJQVOTk7o0KGDsqdEqkE5ZKTWjRgxAqam\npvj666+hpaWFLl261Nl2UIQQaXz77beQy+Xo2LEjrXhLhF01DwoKem+lnH63qodWyEitY5vUnj9/\nHhcuXBDcpJYQoj7EtOMh1WNXzdm+kzKZjFdDcVK7aIWM1Dq2Se21a9fw9u1bfP7553S1RgghH4lC\noUBYWBgeP36MNm3awMPDg06kqyAKyEitk6pJLSGEkA/z8/ND48aNYWNjgxs3biAvLw/r1q1T9rRI\nFRSQkVqnUCi4JrXx8fGCm9QSQgj5sDFjxuDnn3/mPh81ahSVwlFBVKmf1DqpmtQSQgj5sKKiIu40\ne2FhoeDuKOTjoqR+UuukalJLCCHkw8aNGwdHR0dYW1vj8ePHmDVrlrKnRKpBW5aEEEKIGsvJyYGG\nhgaePn0KU1NT6OvrK3tKpBq0QkYIIYSoMW9vb5iZmcHNzY2CMRVGK2SEEEKImrt37x6OHz+O+Ph4\n2Nvb45tvvlH2lEgVlNRPCCGEqDlra2t07doVTZs2RVxcnLKnQ6pBK2SEEEKIGvP19cXdu3cxaNAg\njBw5EqampsqeEqkGBWSEEEKIGjt58iQcHBze62dJVAsFZIQQQoga8/DwQLNmzeDi4oK+fftCQ4Oy\nlVQRBWSEEEKImnv8+DGOHTuGW7duoVevXnBxcYGZmZmyp0UqoICMEEIIUXNv3rzBL7/8gjNnzkBX\nVxcMw6Bt27aYP3++sqdG/oPqkBFCCCFqbPbs2Xj06BEcHBywfv16GBsbAwBGjBih5JmRimiFjBBC\nCFFjV69exZdffvne7UVFRahfv74SZkSqQ5l9hBBCiBrbvn17tbdTMKZaaMuSEEIIUWMymQwzZsyA\nhYUFd8Jy7ty5Sp4VqYoCMkIIIUSNjRw5UtlTIDVAW5aEEEKIGpPJZJX+09LSovZJKohWyAghhBA1\nFhUVhcLCQnTt2hXx8fEoKipCvXr10KlTJ/j5+Sl7euQ/KCAjhBBC1JhCoUBoaCg0NDRQVlaGyZMn\nY9euXRg1apSyp0YqoC1LQgghRI3l5eVBoVAAKA/OXr9+DQAoLi5W5rRIFVSHjBBCCFFj4eHh2Llz\nJ6ytrZGcnAxvb29kZWWhoKAAc+bMUfb0yH9QQEYIIYSoudzcXKSlpcHc3Bz6+vooLS1FvXr1lD0t\nUgHlkBFCCCFq7OHDhwgLC0NRURF3W2BgoBJnRKpDARkhhBCixhYtWgRPT0+0aNFC2VMh/wUFZIQQ\nQogaMzQ0hKurq7KnQT6AAjJCCCFEjbVq1QohISHo2LEjZDIZAFTbbJwoFwVkhBBCiBorKSlBSkoK\nUlJSuNsoIFM9dMqSEEII+R+SlZUFIyMjZU+DVEErZIQQQoga27RpEw4dOoSSkhIUFhaiTZs2iIqK\nUva0SBVUqZ8QQghRYxcuXEBsbCyGDx+O6OhoGBsbK3tKpBoUkBFCCCFqrHnz5tDW1sbbt2/RunVr\nlJSUKHtKpBoUkBFCCCFqrEWLFjh69CgaNGiAoKAg5OfnK3tKpBqU1E8IIYSosdevX0Mul6NJkyaI\niIhAr1690LZtW2VPi1RBARkhhBCixjw8PHDo0CFlT4N8AJ2yJIQQQtRYkyZNEBoaCgsLC2holGcq\nUR0y1UMBGSGEEKLG9PX1kZCQgISEBO42CshUD21ZEkIIIWouJSUFaWlpaN++PYyMjLiVMqI6aIWM\nEEIIUWMHDhzAuXPn8Pr1azg7O+PJkyfw9/dX9rRIFRQiE0IIIWosKioKe/bsgZ6eHry8vHD37l1l\nT4lUgwIyQgghRI0xDAOZTAaZTAYA0NbWVvKMSHVoy5IQQghRY8OGDcOYMWOQnp6OyZMnw97eXtlT\nItWgpH5CCCFEzSUlJSExMRGWlpZo3769sqdDqkEBGSGEEKLG7t27h4iICBQUFHC3BQYGKnFGpDq0\nZUkIIYSosWXLlsHT0xOGhobKngr5LyggI4QQQtRYo0aN4OzsrOxpkA+ggIwQQghRQ1evXgUA6Onp\nITg4GJ06deJOWlKlftVDARkhhBCihqKiogCUB2RPnjzBkydPuH+jgEz1UFI/IYQQosbCw8Ph6urK\nfb5v3z6MGzdOiTMi1aGAjBBCCFFDp06dwoULF3D9+nX07NkTAFBWVobExERu9YyoDtqyJIQQQtRQ\nnz590Lx5c+Tl5cHd3R0AoKGhATMzMyXPjFSHVsgIIYQQNXf58mU8evQIbdq0oUr9KooCMkIIIUSN\nBQUFITU1Fd27d0dcXBxMTU2xaNEiZU+LVEFbloQQQogau3nzJg4fPgwA8PLygpubm5JnRKqjoewJ\nEEIIIeTjUSgUKCsrAwAwDMPVIiOqhVbICCGEEDU2dOhQeHh4oEuXLoiPj8fQoUOVPSVSDcohI4QQ\nQtRcYmIikpOTYWlpiXbt2il7OqQaFJARQgghauzFixc4deoUioqKuNt8fHyUOCNSHcohI4QQQtTY\n7NmzIZfLYWhoyP1HVA/lkBFCCCFqTFdXF3PmzFH2NMgHUEBGCCGEqDFra2tERUWhY8eO3AlLCwsL\nJc+KVEUBGSGEEKLGHj58iISEBO7z4uJiri4ZUR2UQ0YIIYSosaFDhyIzMxPPnj3Ds2fPkJOTo+wp\nkWpQQEYIIYSosYMHD2L//v3o27cvAgMDYW1trewpkWpQQEYIIYSoMSMjIxgZGeHt27fo0aMH8vPz\nlT0lUg0KyAghhBA1pqenh5iYGMhkMhw+fBh5eXnKnhKpBhWGJYQQQtSYXC5HWloaDAwMsGfPHtjZ\n2aFHjx7KnhapggIyQgghhBAloy1LQgghhBAlo4CMEEIIIUTJKCAjhKiV9u3bV3v72LFjcf36ddy7\ndw+LFy/+x/sfP34cixYtknxe//R9nz17hn79+kn+/QghdQtV6ieE/E/p3LkzOnfu/D/zfQkhdQOt\nkBFCVNr169fh6emJ8ePHY9CgQViwYAGSk5MrrSpt3rwZmzdv5j5funQpHB0dMX78eKSnp7833tix\nYwEAe/bsgYODA5ycnODv7899zZMnTzB27Fj0798fS5Ys4W4PCQmBs7MzHBwcsG7dOjAMg2fPnmHw\n4MHw8PDA+PHj/+vPwX7fv/76C87OznB2dsbWrVtF/X4IIeqBAjJCiMqLj4+Hv78/zpw5g6KiIly+\nfPm/fr2trS1OnjyJAQMGYPXq1dV+jUKhwE8//YRjx47h+PHjkMlkyMzMBAC8ePECmzdvxunTpxEb\nG4tHjx4hNjYW9+/fx9GjR3HixAlkZmYiMjISAJCSkoL169dj7969Nfp5Fi5ciAULFiAiIgKmpqY1\n/0UQQtQWBWSEEJVna2sLS0tLyGQyODo64o8//vjHr9XR0YGDgwMAwNHRETdu3Kj26zQ1NfHZZ5/B\nxcUFW7ZswZgxY2BsbAwAsLGxQdOmTaGtrQ1zc3Pk5ubi999/R3x8PEaMGAFnZ2fcv38fjx8/BgAY\nGBjUOLDKyclBVlYWevfuDQAYMWJEjX8PhBD1RTlkhBCVV69ePe5jhmHw7t07VCyhqFAooKlZ/nKm\noaFR6WvZ26uzbds23LlzB7GxsfD29saGDRsAoNJ9ZDIZGIZBaWkpvLy8MGHCBABAfn4+6tWrh9zc\nXOjo6NT4Z2HHq+5nI4T876IVMkKIyrt16xYyMzNRVlaGEydOwN7eHq9fv0ZOTg6Ki4tx5coV7mvf\nvXuH8+fPAwCOHTvGrURVlZOTgyFDhqBdu3aYPXs2vvjiC/z999//OIeePXvi5MmTePv2LRQKBWbM\nmIGzZ8/y/ln09fVhYmKCS5cuAQBOnTrFewxCiPqhFTJCiMozMjLCd999h8zMTHzxxRfw9PSEXC6H\ni4sLWrRoUen0YuPGjRETE4NNmzbB2NgYgYGB1Y7ZrFkzjBo1Ci4uLmjQoAFatmwJZ2dn/Prrr9V+\nfb9+/ZCQkAA3NzeUlpaiT58+cHZ2xvPnz3n/POvXr4evry82btyIrl278r4/IUT9UOskQohKu379\nOrZs2YL9+/creyqEEPLR0AoZIYRIJC4uDitXrqz230JCQrhDA4QQUhWtkBFCCCGEKBkl9RNCCCGE\nKBkFZIQQQgghSkYBGSGEEEKIklFARgghhBCiZBSQEUIIIYQoGQVkhBBCCCFK9n+x8mrRpmBn9QAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10843a5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alexa_ranks.plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try the simple option first: just divide the number of minutes as lead by the alexa rank. What's the scale of numbers we get then."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10826d358>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VwNeWZemjjz5SXFycbaEAAMCpCangT/yd+gkpKSn61a9+ZUsgAABw6kIq+L5+ahwAAIis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\nwEAUPAAABqLgAQAw0P8D5TUPmDx3StkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x102d568d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1 = lead_articles.mins_as_lead.clip_upper(60) / lead_articles.alexa_rank\n",
    "lead_proposal_1.plot.hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like there's too much of a cluster around 0. Have we massively over penalised the publishers with a high alexa rank?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a6837f0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FyMZUkYsjzY/qGEbiONI8qIj5qOXysNcP1TFUxXGkXFTFc5R2caS2fRRzURHzUcvFSAyb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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1082e60f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1.groupby(data.publisher_id).mean().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes. Let's try taking the log of the alexa rank and see if that looks better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10b80bfd0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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R5AAAGIwiBwDAYBQ5AAAGo8gBADAYRQ4AgMEocgAADPZ/TBLa5ITLzDYAAAAA\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aff5fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2 = (lead_articles.mins_as_lead.clip_upper(60) / np.log(lead_articles.alexa_rank))\n",
    "lead_proposal_2.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>6.00</td>\n",
       "      <td>5.33</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>97.00</td>\n",
       "      <td>12.83</td>\n",
       "      <td>1.78</td>\n",
       "      <td>0.88</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>205.00</td>\n",
       "      <td>8.36</td>\n",
       "      <td>1.27</td>\n",
       "      <td>0.72</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>21.00</td>\n",
       "      <td>4.41</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.77</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>259.00</td>\n",
       "      <td>11.80</td>\n",
       "      <td>1.08</td>\n",
       "      <td>2.81</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>193.00</td>\n",
       "      <td>12.38</td>\n",
       "      <td>1.79</td>\n",
       "      <td>1.07</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>168.00</td>\n",
       "      <td>11.49</td>\n",
       "      <td>1.56</td>\n",
       "      <td>0.99</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>39.00</td>\n",
       "      <td>7.31</td>\n",
       "      <td>2.02</td>\n",
       "      <td>0.53</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>54.00</td>\n",
       "      <td>4.99</td>\n",
       "      <td>0.60</td>\n",
       "      <td>2.05</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>180.00</td>\n",
       "      <td>10.33</td>\n",
       "      <td>1.35</td>\n",
       "      <td>0.71</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>99.00</td>\n",
       "      <td>7.43</td>\n",
       "      <td>1.97</td>\n",
       "      <td>0.54</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>171.00</td>\n",
       "      <td>10.74</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.74</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>140.00</td>\n",
       "      <td>9.53</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0.84</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>61.00</td>\n",
       "      <td>7.04</td>\n",
       "      <td>0.00</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>94.00</td>\n",
       "      <td>4.67</td>\n",
       "      <td>0.18</td>\n",
       "      <td>3.53</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>359.00</td>\n",
       "      <td>8.45</td>\n",
       "      <td>1.67</td>\n",
       "      <td>1.37</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>101.00</td>\n",
       "      <td>8.71</td>\n",
       "      <td>1.12</td>\n",
       "      <td>0.74</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>76.00</td>\n",
       "      <td>6.09</td>\n",
       "      <td>0.98</td>\n",
       "      <td>1.48</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>156.00</td>\n",
       "      <td>8.95</td>\n",
       "      <td>1.47</td>\n",
       "      <td>0.63</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>53.00</td>\n",
       "      <td>12.51</td>\n",
       "      <td>0.17</td>\n",
       "      <td>11.28</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>153.00</td>\n",
       "      <td>5.07</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.48</td>\n",
       "      <td>5.29</td>\n",
       "      <td>5.78</td>\n",
       "      <td>5.78</td>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>28.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>79.00</td>\n",
       "      <td>8.92</td>\n",
       "      <td>2.20</td>\n",
       "      <td>0.64</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>148.00</td>\n",
       "      <td>9.48</td>\n",
       "      <td>2.01</td>\n",
       "      <td>0.68</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>97.00</td>\n",
       "      <td>4.82</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.84</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>103.00</td>\n",
       "      <td>9.95</td>\n",
       "      <td>1.09</td>\n",
       "      <td>2.37</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>204.00</td>\n",
       "      <td>4.84</td>\n",
       "      <td>1.80</td>\n",
       "      <td>0.93</td>\n",
       "      <td>3.62</td>\n",
       "      <td>6.21</td>\n",
       "      <td>6.21</td>\n",
       "      <td>6.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>148.00</td>\n",
       "      <td>11.44</td>\n",
       "      <td>1.97</td>\n",
       "      <td>1.01</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>71.00</td>\n",
       "      <td>6.81</td>\n",
       "      <td>0.28</td>\n",
       "      <td>4.45</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>81.00</td>\n",
       "      <td>10.83</td>\n",
       "      <td>2.33</td>\n",
       "      <td>0.76</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>66.00</td>\n",
       "      <td>4.77</td>\n",
       "      <td>1.24</td>\n",
       "      <td>0.35</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>105.00</td>\n",
       "      <td>5.82</td>\n",
       "      <td>0.46</td>\n",
       "      <td>3.79</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                  count  mean  std   min   25%   50%   75%  \\\n",
       "publisher_id                                                                 \n",
       "anotherangryvoice_blogspot_co_uk   6.00  5.33 0.00  5.33  5.33  5.33  5.33   \n",
       "bbc_co_uk                         97.00 12.83 1.78  0.88 13.15 13.15 13.15   \n",
       "breitbart_com                    205.00  8.36 1.27  0.72  8.69  8.69  8.69   \n",
       "brexitcentral_com                 21.00  4.41 0.84  0.77  4.59  4.59  4.59   \n",
       "buzzfeed_com                     259.00 11.80 1.08  2.81 12.02 12.02 12.02   \n",
       "cnn_com                          193.00 12.38 1.79  1.07 12.89 12.89 12.89   \n",
       "dailymail_co_uk                  168.00 11.49 1.56  0.99 11.85 11.85 11.85   \n",
       "economist_com                     39.00  7.31 2.02  0.53  7.99  7.99  7.99   \n",
       "evolvepolitics_com                54.00  4.99 0.60  2.05  5.13  5.13  5.13   \n",
       "foxnews_com                      180.00 10.33 1.35  0.71 10.61 10.61 10.61   \n",
       "ft_com                            99.00  7.43 1.97  0.54  8.14  8.14  8.14   \n",
       "huffingtonpost_com               171.00 10.74 1.68  0.74 11.17 11.17 11.17   \n",
       "independent_co_uk                140.00  9.53 1.85  0.84 10.07 10.07 10.07   \n",
       "indy100_com                       61.00  7.04 0.00  7.04  7.04  7.04  7.04   \n",
       "libdemvoice_org                   94.00  4.67 0.18  3.53  4.71  4.71  4.71   \n",
       "mirror_co_uk                     359.00  8.45 1.67  1.37  9.15  9.15  9.15   \n",
       "nbcnews_com                      101.00  8.71 1.12  0.74  8.93  8.93  8.93   \n",
       "newstatesman_com                  76.00  6.09 0.98  1.48  6.35  6.35  6.35   \n",
       "npr_org                          156.00  8.95 1.47  0.63  9.39  9.39  9.39   \n",
       "nytimes_com                       53.00 12.51 0.17 11.28 12.53 12.53 12.53   \n",
       "order-order_com                  153.00  5.07 1.36  0.48  5.29  5.78  5.78   \n",
       "propublica_org                    28.00  6.20 0.00  6.20  6.20  6.20  6.20   \n",
       "reuters_com                       79.00  8.92 2.20  0.64  9.66  9.66  9.66   \n",
       "rt_com                           148.00  9.48 2.01  0.68 10.17 10.17 10.17   \n",
       "skwawkbox_org                     97.00  4.82 0.73  0.84  5.03  5.03  5.03   \n",
       "telegraph_co_uk                  103.00  9.95 1.09  2.37 10.15 10.15 10.15   \n",
       "thecanary_co                     204.00  4.84 1.80  0.93  3.62  6.21  6.21   \n",
       "theguardian_com                  148.00 11.44 1.97  1.01 12.11 12.11 12.11   \n",
       "thetimes_co_uk                    71.00  6.81 0.28  4.45  6.84  6.84  6.84   \n",
       "washingtonpost_com                81.00 10.83 2.33  0.76 11.42 11.42 11.42   \n",
       "westmonster_com                   66.00  4.77 1.24  0.35  5.22  5.22  5.22   \n",
       "yournewswire_com                 105.00  5.82 0.46  3.79  5.99  5.99  5.99   \n",
       "\n",
       "                                   max  \n",
       "publisher_id                            \n",
       "anotherangryvoice_blogspot_co_uk  5.33  \n",
       "bbc_co_uk                        13.15  \n",
       "breitbart_com                     8.69  \n",
       "brexitcentral_com                 4.59  \n",
       "buzzfeed_com                     12.02  \n",
       "cnn_com                          12.89  \n",
       "dailymail_co_uk                  11.85  \n",
       "economist_com                     7.99  \n",
       "evolvepolitics_com                5.13  \n",
       "foxnews_com                      10.61  \n",
       "ft_com                            8.14  \n",
       "huffingtonpost_com               11.17  \n",
       "independent_co_uk                10.07  \n",
       "indy100_com                       7.04  \n",
       "libdemvoice_org                   4.71  \n",
       "mirror_co_uk                      9.15  \n",
       "nbcnews_com                       8.93  \n",
       "newstatesman_com                  6.35  \n",
       "npr_org                           9.39  \n",
       "nytimes_com                      12.53  \n",
       "order-order_com                   5.78  \n",
       "propublica_org                    6.20  \n",
       "reuters_com                       9.66  \n",
       "rt_com                           10.17  \n",
       "skwawkbox_org                     5.03  \n",
       "telegraph_co_uk                  10.15  \n",
       "thecanary_co                      6.21  \n",
       "theguardian_com                  12.11  \n",
       "thetimes_co_uk                    6.84  \n",
       "washingtonpost_com               11.42  \n",
       "westmonster_com                   5.22  \n",
       "yournewswire_com                  5.99  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10bf9ddd8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RERFp9ExfcWKFTkRERE/TM104Ef0v44kDkTH8DZEeLJwk4Q+QiIgoy/N8TGThhPxX8LO6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bcf0550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).min().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks about right, as long as the smaller publishers were closer to zero. So let's apply feature scaling to this, to give a number between 1 and 20. (Anything not as lead will pass though as zero.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def rescale(series):\n",
    "    return (series - series.min()) / (series.max() - series.min())\n",
    "\n",
    "lead_proposal_3 = np.ceil(20 * rescale(lead_proposal_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.34811595555636582, 13.145359968846892)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.min(), lead_proposal_2.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x108410128>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d0aaef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10d82bf60>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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eng5HR0eT1x0cHJCenl7g6wVJSnrw1NednfWIjzevSBMhK6aWONa8TNYSQ2uc4t62suI8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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d0cacf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.groupby(data.publisher_id).median().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"lead_score\"] = pd.concat([lead_proposal_3, data.mins_as_lead[data.mins_as_lead==0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     144577\n",
       "1.00         34\n",
       "2.00         38\n",
       "3.00         28\n",
       "4.00         38\n",
       "5.00         33\n",
       "6.00         44\n",
       "7.00        150\n",
       "8.00        246\n",
       "9.00        240\n",
       "10.00       230\n",
       "11.00       148\n",
       "12.00        62\n",
       "13.00       107\n",
       "14.00       577\n",
       "15.00       215\n",
       "16.00       360\n",
       "17.00       335\n",
       "18.00       237\n",
       "19.00       373\n",
       "20.00       319\n",
       "Name: lead_score, dtype: int64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    8.00\n",
       "bbc_co_uk                          20.00\n",
       "breitbart_com                      14.00\n",
       "brexitcentral_com                   7.00\n",
       "buzzfeed_com                       19.00\n",
       "cnn_com                            20.00\n",
       "dailymail_co_uk                    18.00\n",
       "economist_com                      12.00\n",
       "evolvepolitics_com                  8.00\n",
       "foxnews_com                        17.00\n",
       "ft_com                             13.00\n",
       "huffingtonpost_com                 17.00\n",
       "independent_co_uk                  16.00\n",
       "indy100_com                        11.00\n",
       "libdemvoice_org                     7.00\n",
       "mirror_co_uk                       14.00\n",
       "nbcnews_com                        14.00\n",
       "newstatesman_com                   10.00\n",
       "npr_org                            15.00\n",
       "nytimes_com                        20.00\n",
       "order-order_com                     9.00\n",
       "propublica_org                     10.00\n",
       "reuters_com                        15.00\n",
       "rt_com                             16.00\n",
       "skwawkbox_org                       8.00\n",
       "telegraph_co_uk                    16.00\n",
       "thecanary_co                       10.00\n",
       "theguardian_com                    19.00\n",
       "thetimes_co_uk                     11.00\n",
       "washingtonpost_com                 18.00\n",
       "westmonster_com                     8.00\n",
       "yournewswire_com                    9.00\n",
       "Name: lead_score, dtype: float64"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In summary then, score for article $a$ is:\n",
    "\n",
    "\n",
    "$$\n",
    "unscaledLeadScore_a = \\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)}\\\\\n",
    "leadScore_a = 19 \\cdot \n",
    "\\frac{unscaledLeadScore_a - \\min(unscaledLeadScore)}\n",
    "{\\max(unscaledLeadScore) - \\min(unscaledLeadScore)} \n",
    "+ 1\n",
    "$$\n",
    "\n",
    "Since the minium value of $minsAsLead$ is 1, $\\min(unscaledLeadScore)$ is pretty insignificant. So we can simplify this to:\n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{unscaledLeadScore_a }\n",
    "     {\\max(unscaledLeadScore)} \n",
    "$$\n",
    "\n",
    "or: \n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} }\n",
    "     {\\frac{60}{\\log(\\max(alexaRank))}} \n",
    "$$\n",
    "\n",
    "$$\n",
    "leadScore_a = \\left( 20 \\cdot \n",
    "\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} \\cdot\n",
    "     {\\frac{\\log(\\max(alexaRank))}{60}} \\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time on front score (15 points)\n",
    "\n",
    "This is similar to time as lead, so lets try doing the same calculation, except we also want to factor in the number of slots on the front:\n",
    "\n",
    "\n",
    "$$frontScore_a = \n",
    "15 \n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.4500000000000002"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data.alexa_rank * data.num_articles_on_front).min() / 1440"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "time_on_front_proposal_1 = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10e9307f0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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zJkuXLk17e3uWL19e79kAAACoo5rOEI4bNy6XXnppLr300nrPAwAAwGFSUxCeeOKJqVQq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10843a898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_on_front_proposal_1.plot.hist(figsize=(15, 7), bins=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.00     65394\n",
       "2.00      8125\n",
       "3.00      5301\n",
       "4.00      4167\n",
       "5.00      1027\n",
       "6.00       646\n",
       "7.00       498\n",
       "8.00       486\n",
       "9.00       818\n",
       "10.00      296\n",
       "11.00      287\n",
       "12.00      385\n",
       "13.00      209\n",
       "14.00       70\n",
       "15.00       14\n",
       "dtype: int64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk       6.00\n",
       "bbc_co_uk                          15580.00\n",
       "breitbart_com                       2711.00\n",
       "brexitcentral_com                     23.00\n",
       "buzzfeed_com                       10173.00\n",
       "cnn_com                            12205.00\n",
       "dailymail_co_uk                    13680.00\n",
       "economist_com                        270.00\n",
       "evolvepolitics_com                    68.00\n",
       "foxnews_com                         8774.00\n",
       "ft_com                              2823.00\n",
       "huffingtonpost_com                  8296.00\n",
       "independent_co_uk                   4425.00\n",
       "indy100_com                          528.00\n",
       "libdemvoice_org                       94.00\n",
       "mirror_co_uk                        9846.00\n",
       "nbcnews_com                         1819.00\n",
       "newstatesman_com                     468.00\n",
       "npr_org                             2727.00\n",
       "nytimes_com                         9632.00\n",
       "order-order_com                      157.00\n",
       "propublica_org                        44.00\n",
       "reuters_com                         6395.00\n",
       "rt_com                              4161.00\n",
       "skwawkbox_org                         99.00\n",
       "telegraph_co_uk                     6219.00\n",
       "thecanary_co                         221.00\n",
       "theguardian_com                    12530.00\n",
       "thetimes_co_uk                      8663.00\n",
       "washingtonpost_com                  9457.00\n",
       "westmonster_com                      290.00\n",
       "yournewswire_com                     222.00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.groupby(data.publisher_id).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks good to me."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"front_score\"] = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id\n",
       "103d30e1ada75aa031d84f88af50d113184ea4ed    2.00\n",
       "dedd4245cfa237afcd5f543960e04ae90b26ac48    1.00\n",
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       "f96a4be826d39298ec3d9de2aa353128cf174c81    1.00\n",
       "c155979d2df3437ceb476c35827c7ac74c82c212    0.00\n",
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       "c31462dbc917793c2a8b207f2bdb03ab86b5f559    0.00\n",
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       "7ff739ee4f3b267e57fda44693cfec76cfe3c60f    0.00\n",
       "4d399c12dc6991996090884fe94dafc17942bacd    0.00\n",
       "                                            ... \n",
       "88088f52ea4a0335c60f014cbfffb3014b57c39d    1.00\n",
       "77be73c2d6d79d373d621405cc809cd8d91aa537    0.00\n",
       "ba83628125d0abfeb37479dd3400ade6aa70a6d3    1.00\n",
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       "b96b7b0ac8401a3bf864d3475ef1f5bf1d059ccb    4.00\n",
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       "e950ed8e42c9afc3f36164c18e9e1103e4a3639b    3.00\n",
       "2edb3930c982349109970498a465f51688b47440    6.00\n",
       "ffc8942d80078db665c60d34c4fcca0d45bcb35c    1.00\n",
       "61d2c71d22072cf56e5131e65c60bc7a29421561    0.00\n",
       "15b6d9d0497ac4c931925be571400036693bab40    0.00\n",
       "c8bd5bc0e73962ff84cd7a1f4e2b2a3d85453cbd    1.00\n",
       "560980f8907258fabf6c2ae2dfba116a4970c629    1.00\n",
       "e5687aeb20b4f4310aa0c9d89a7ba37bf362f63c    1.00\n",
       "2f6933177b8ad230eff56a85bd0aceb65f27e6d0    4.00\n",
       "4744dee9e500e0981c1dce7cdb26d79bfaf5de60    1.00\n",
       "f7bcf3e1e1f833643709a7c36c020b3e3c3fe3d8    2.00\n",
       "744aca0e14a5d36a2d8441ce96c98fb71ea947ed    0.00\n",
       "867e9f70464bdf4f428dcfda83c8782629403461    0.00\n",
       "033414864ddc21c06b87d3515e01b89e66a1b0c1    1.00\n",
       "a452e40c6f5ed9e609f35bbad66aaf7da60cc389    3.00\n",
       "d26c5e600e9a5983fd72dfe66b648f9c4b196af9    0.00\n",
       "8bc9b8238e93fc592e1e3be8911c284b0f536c4c    0.00\n",
       "Name: front_score, Length: 148391, dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.front_score "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Facebook brand page promotion (15 points)\n",
    "\n",
    "One way a publisher has of promoting content is to post to their brand page. The significance of doing so is stronger when the brand page has more followers (likes).\n",
    "\n",
    "$$ facebookPromotionProposed1_a = 15 \\left( \\frac {brandPageLikes_a} {\\max(brandPageLikes)} \\right) $$\n",
    "\n",
    "Now lets explore the data to see if that makes sense. **tr;dr the formula above is incorrect**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "43749031.0"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_1 = np.ceil((15 * (data.fb_brand_page_likes / data.fb_brand_page_likes.max())).fillna(0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10eacad68>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+fbt8Pp/eeOMNvfXWW6qsrBx0VB0Oh5Wenq60tDSFw+FB2wOBgJKSkiJeez5dXWdiGX/I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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1113c8390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.value_counts().sort_index().plot.bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>6.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>12344.00</td>\n",
       "      <td>0.65</td>\n",
       "      <td>3.07</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>2778.00</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>23.00</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>2006.00</td>\n",
       "      <td>0.22</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3733.00</td>\n",
       "      <td>2.54</td>\n",
       "      <td>4.35</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>10.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>24170.00</td>\n",
       "      <td>0.58</td>\n",
       "      <td>1.60</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>533.00</td>\n",
       "      <td>1.86</td>\n",
       "      <td>1.46</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>68.00</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>6935.00</td>\n",
       "      <td>0.64</td>\n",
       "      <td>1.86</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>3002.00</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>11210.00</td>\n",
       "      <td>0.48</td>\n",
       "      <td>1.30</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>6236.00</td>\n",
       "      <td>0.67</td>\n",
       "      <td>1.25</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>528.00</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>95.00</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>10541.00</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>1891.00</td>\n",
       "      <td>2.08</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>472.00</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.44</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>2049.00</td>\n",
       "      <td>1.46</td>\n",
       "      <td>1.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>4857.00</td>\n",
       "      <td>1.54</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>158.00</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>46.00</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.36</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>5228.00</td>\n",
       "      <td>0.65</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>2160.00</td>\n",
       "      <td>1.06</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>99.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>7340.00</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>225.00</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>8376.00</td>\n",
       "      <td>0.53</td>\n",
       "      <td>1.14</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>8693.00</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>22061.00</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>306.00</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>222.00</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    count  mean  std  min  25%  50%   75%  \\\n",
       "publisher_id                                                                \n",
       "anotherangryvoice_blogspot_co_uk     6.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "bbc_co_uk                        12344.00  0.65 3.07 0.00 0.00 0.00  0.00   \n",
       "breitbart_com                     2778.00  0.79 0.98 0.00 0.00 0.00  2.00   \n",
       "brexitcentral_com                   23.00  0.78 0.42 0.00 1.00 1.00  1.00   \n",
       "buzzfeed_com                      2006.00  0.22 0.42 0.00 0.00 0.00  0.00   \n",
       "cnn_com                           3733.00  2.54 4.35 0.00 0.00 0.00 10.00   \n",
       "dailymail_co_uk                  24170.00  0.58 1.60 0.00 0.00 0.00  0.00   \n",
       "economist_com                      533.00  1.86 1.46 0.00 0.00 3.00  3.00   \n",
       "evolvepolitics_com                  68.00  0.94 0.24 0.00 1.00 1.00  1.00   \n",
       "foxnews_com                       6935.00  0.64 1.86 0.00 0.00 0.00  0.00   \n",
       "ft_com                            3002.00  0.66 0.94 0.00 0.00 0.00  2.00   \n",
       "huffingtonpost_com               11210.00  0.48 1.30 0.00 0.00 0.00  0.00   \n",
       "independent_co_uk                 6236.00  0.67 1.25 0.00 0.00 0.00  0.00   \n",
       "indy100_com                        528.00  0.46 0.50 0.00 0.00 0.00  1.00   \n",
       "libdemvoice_org                     95.00  0.99 0.10 0.00 1.00 1.00  1.00   \n",
       "mirror_co_uk                     10541.00  0.24 0.43 0.00 0.00 0.00  0.00   \n",
       "nbcnews_com                       1891.00  2.08 2.00 0.00 0.00 4.00  4.00   \n",
       "newstatesman_com                   472.00  0.74 0.44 0.00 0.00 1.00  1.00   \n",
       "npr_org                           2049.00  1.46 1.50 0.00 0.00 0.00  3.00   \n",
       "nytimes_com                       4857.00  1.54 2.31 0.00 0.00 0.00  5.00   \n",
       "order-order_com                    158.00  0.78 0.41 0.00 1.00 1.00  1.00   \n",
       "propublica_org                      46.00  0.85 0.36 0.00 1.00 1.00  1.00   \n",
       "reuters_com                       5228.00  0.65 0.94 0.00 0.00 0.00  2.00   \n",
       "rt_com                            2160.00  1.06 1.00 0.00 0.00 2.00  2.00   \n",
       "skwawkbox_org                       99.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "telegraph_co_uk                   7340.00  0.56 0.90 0.00 0.00 0.00  2.00   \n",
       "thecanary_co                       225.00  0.98 0.15 0.00 1.00 1.00  1.00   \n",
       "theguardian_com                   8376.00  0.53 1.14 0.00 0.00 0.00  0.00   \n",
       "thetimes_co_uk                    8693.00  0.06 0.23 0.00 0.00 0.00  0.00   \n",
       "washingtonpost_com               22061.00  0.21 0.77 0.00 0.00 0.00  0.00   \n",
       "westmonster_com                    306.00  0.27 0.45 0.00 0.00 0.00  1.00   \n",
       "yournewswire_com                   222.00  0.06 0.24 0.00 0.00 0.00  0.00   \n",
       "\n",
       "                                   max  \n",
       "publisher_id                            \n",
       "anotherangryvoice_blogspot_co_uk  1.00  \n",
       "bbc_co_uk                        15.00  \n",
       "breitbart_com                     2.00  \n",
       "brexitcentral_com                 1.00  \n",
       "buzzfeed_com                      1.00  \n",
       "cnn_com                          10.00  \n",
       "dailymail_co_uk                   5.00  \n",
       "economist_com                     3.00  \n",
       "evolvepolitics_com                1.00  \n",
       "foxnews_com                       6.00  \n",
       "ft_com                            2.00  \n",
       "huffingtonpost_com                4.00  \n",
       "independent_co_uk                 3.00  \n",
       "indy100_com                       1.00  \n",
       "libdemvoice_org                   1.00  \n",
       "mirror_co_uk                      1.00  \n",
       "nbcnews_com                       4.00  \n",
       "newstatesman_com                  1.00  \n",
       "npr_org                           3.00  \n",
       "nytimes_com                       5.00  \n",
       "order-order_com                   1.00  \n",
       "propublica_org                    1.00  \n",
       "reuters_com                       2.00  \n",
       "rt_com                            2.00  \n",
       "skwawkbox_org                     1.00  \n",
       "telegraph_co_uk                   2.00  \n",
       "thecanary_co                      1.00  \n",
       "theguardian_com                   3.00  \n",
       "thetimes_co_uk                    1.00  \n",
       "washingtonpost_com                3.00  \n",
       "westmonster_com                   1.00  \n",
       "yournewswire_com                  1.00  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's too much variation: sites like the Guardian, which have a respectable 7.5m likes, should not be scoring a 3. Lets try applying a log to it, and then standard feature scaling again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk     330139.00\n",
       "bbc_co_uk                          43749031.00\n",
       "breitbart_com                       3603063.00\n",
       "brexitcentral_com                      8877.00\n",
       "buzzfeed_com                        2664517.00\n",
       "cnn_com                            28192524.00\n",
       "dailymail_co_uk                    12290016.00\n",
       "economist_com                       8257357.00\n",
       "evolvepolitics_com                   111989.00\n",
       "foxnews_com                        15707378.00\n",
       "ft_com                              3630731.00\n",
       "huffingtonpost_com                  9712213.00\n",
       "independent_co_uk                   7387560.00\n",
       "indy100_com                          219441.00\n",
       "libdemvoice_org                        8590.00\n",
       "mirror_co_uk                        2836406.00\n",
       "nbcnews_com                         9198972.00\n",
       "newstatesman_com                     154139.00\n",
       "npr_org                             6146183.00\n",
       "nytimes_com                        14517296.00\n",
       "order-order_com                       44064.00\n",
       "propublica_org                       348034.00\n",
       "reuters_com                         3848086.00\n",
       "rt_com                              4563650.00\n",
       "skwawkbox_org                          5007.00\n",
       "telegraph_co_uk                     4329376.00\n",
       "thecanary_co                         154553.00\n",
       "theguardian_com                     7669393.00\n",
       "thetimes_co_uk                       687493.00\n",
       "washingtonpost_com                  5999523.00\n",
       "westmonster_com                       13110.00\n",
       "yournewswire_com                      26183.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.6727578966425103"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(2149)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk   12.71\n",
       "bbc_co_uk                          17.59\n",
       "breitbart_com                      15.10\n",
       "brexitcentral_com                   9.09\n",
       "buzzfeed_com                       14.80\n",
       "cnn_com                            17.15\n",
       "dailymail_co_uk                    16.32\n",
       "economist_com                      15.93\n",
       "evolvepolitics_com                 11.63\n",
       "foxnews_com                        16.57\n",
       "ft_com                             15.10\n",
       "huffingtonpost_com                 16.09\n",
       "independent_co_uk                  15.82\n",
       "indy100_com                        12.30\n",
       "libdemvoice_org                     9.06\n",
       "mirror_co_uk                       14.86\n",
       "nbcnews_com                        16.03\n",
       "newstatesman_com                   11.95\n",
       "npr_org                            15.63\n",
       "nytimes_com                        16.49\n",
       "order-order_com                    10.69\n",
       "propublica_org                     12.76\n",
       "reuters_com                        15.16\n",
       "rt_com                             15.33\n",
       "skwawkbox_org                       8.52\n",
       "telegraph_co_uk                    15.28\n",
       "thecanary_co                       11.95\n",
       "theguardian_com                    15.85\n",
       "thetimes_co_uk                     13.44\n",
       "washingtonpost_com                 15.61\n",
       "westmonster_com                     9.48\n",
       "yournewswire_com                   10.17\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's more like it, but the lower numbers should be smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    5.80\n",
       "bbc_co_uk                          10.69\n",
       "breitbart_com                       8.19\n",
       "brexitcentral_com                   2.18\n",
       "buzzfeed_com                        7.89\n",
       "cnn_com                            10.25\n",
       "dailymail_co_uk                     9.42\n",
       "economist_com                       9.02\n",
       "evolvepolitics_com                  4.72\n",
       "foxnews_com                         9.66\n",
       "ft_com                              8.20\n",
       "huffingtonpost_com                  9.18\n",
       "independent_co_uk                   8.91\n",
       "indy100_com                         5.39\n",
       "libdemvoice_org                     2.15\n",
       "mirror_co_uk                        7.95\n",
       "nbcnews_com                         9.13\n",
       "newstatesman_com                    5.04\n",
       "npr_org                             8.72\n",
       "nytimes_com                         9.58\n",
       "order-order_com                     3.79\n",
       "propublica_org                      5.85\n",
       "reuters_com                         8.26\n",
       "rt_com                              8.43\n",
       "skwawkbox_org                       1.61\n",
       "telegraph_co_uk                     8.37\n",
       "thecanary_co                        5.04\n",
       "theguardian_com                     8.94\n",
       "thetimes_co_uk                      6.53\n",
       "washingtonpost_com                  8.70\n",
       "westmonster_com                     2.57\n",
       "yournewswire_com                    3.27\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max() / 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "scaled_fb_brand_page_likes = (data.fb_brand_page_likes / 1000)\n",
    "facebook_promotion_proposed_2 = np.ceil(\\\n",
    "    (15 * \\\n",
    "     (np.log(scaled_fb_brand_page_likes) / np.log(scaled_fb_brand_page_likes.max()))\\\n",
    "    )\\\n",
    "                                       ).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    9.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   4.00\n",
       "buzzfeed_com                       12.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  7.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         8.00\n",
       "libdemvoice_org                     4.00\n",
       "mirror_co_uk                       12.00\n",
       "nbcnews_com                        13.00\n",
       "newstatesman_com                    8.00\n",
       "npr_org                            13.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     6.00\n",
       "propublica_org                      9.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       3.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        8.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                     10.00\n",
       "washingtonpost_com                 13.00\n",
       "westmonster_com                     4.00\n",
       "yournewswire_com                    5.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_2.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LGTM. So the equation is\n",
    "\n",
    "\n",
    "$$ facebookPromotion_a = 15 \\left( \n",
    "\\frac {\\log(\\frac {brandPageLikes_a}{1000})} \n",
    "{\\log(\\frac {\\max(brandPageLikes)}{1000}))} \\right) $$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's try applying standard feature scaling approch to this, rather than using a magic number of 1,000. That equation would be:\n",
    "\n",
    "\\begin{align}\n",
    "unscaledFacebookPromotion_a &= \n",
    "   \\log(brandPageLikes_a) \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\min(unscaledFacebookPromotion)}{\\max(unscaledFacebookPromotion) - \\min(unscaledFacebookPromotion)}  \\\\\n",
    "\\\\\n",
    "\\text{The scaling can be simplified to:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\\\\n",
    "\\\\\n",
    "\\text{Meaning the overall equation becomes:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))} \n",
    "   \\end{align}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_3 = np.ceil(\n",
    "    (14 * \n",
    "     ( \n",
    "         (np.log(data.fb_brand_page_likes) - np.log(data.fb_brand_page_likes.min()) ) /\n",
    "         (np.log(data.fb_brand_page_likes.max()) - np.log(data.fb_brand_page_likes.min()))\n",
    "     )\n",
    "    ) + 1\n",
    "                                       )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    8.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   2.00\n",
       "buzzfeed_com                       11.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  6.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         7.00\n",
       "libdemvoice_org                     2.00\n",
       "mirror_co_uk                       11.00\n",
       "nbcnews_com                        13.00\n",
       "newstatesman_com                    7.00\n",
       "npr_org                            12.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     5.00\n",
       "propublica_org                      8.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       2.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        7.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                      9.00\n",
       "washingtonpost_com                 12.00\n",
       "westmonster_com                     3.00\n",
       "yournewswire_com                    4.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_3.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"facebook_promotion_score\"] = facebook_promotion_proposed_3.fillna(0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Review"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"promotion_score\"] = (data.lead_score + data.front_score + data.facebook_promotion_score)\n",
    "data[\"attention_index\"] = (data.promotion_score + data.response_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11120ec50>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rrHz6059OkmzdujVjxozJunXrMnXq1CTJ9OnTs3bt2kycODHd3d2pVCqZMGFC9u7dm+3b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\nCAAAUFKCEAAAoKQEIQAAQEn9H2grii1eND4XAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108105748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.promotion_score.plot.hist(bins=np.arange(50), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x110165160>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7Lps3b+7737E899xzWbBgQZJkx44dufzyyzN//vysWLEitVotSXLnnXdm7ty5mTdvXp5/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\nIAQAACjU/wLVPnWUcchbKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aff1cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.attention_index.plot.hist(bins=np.arange(100), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     22256\n",
       "1.00     19523\n",
       "2.00     12051\n",
       "3.00      8175\n",
       "4.00      6257\n",
       "5.00      5327\n",
       "6.00      4421\n",
       "7.00      3790\n",
       "8.00      3578\n",
       "9.00      3139\n",
       "10.00     2826\n",
       "11.00     2662\n",
       "12.00     2523\n",
       "13.00     2470\n",
       "14.00     2380\n",
       "15.00     2117\n",
       "16.00     2063\n",
       "17.00     1951\n",
       "18.00     1878\n",
       "19.00     1656\n",
       "20.00     1591\n",
       "21.00     1587\n",
       "22.00     1487\n",
       "23.00     1591\n",
       "24.00     1406\n",
       "25.00     1490\n",
       "26.00     1423\n",
       "27.00     1381\n",
       "28.00     1286\n",
       "29.00     1350\n",
       "         ...  \n",
       "65.00      118\n",
       "66.00      130\n",
       "67.00       76\n",
       "68.00       82\n",
       "69.00       72\n",
       "70.00       68\n",
       "71.00       50\n",
       "72.00       52\n",
       "73.00       39\n",
       "74.00       42\n",
       "75.00       26\n",
       "76.00       28\n",
       "77.00       25\n",
       "78.00       30\n",
       "79.00       27\n",
       "80.00       20\n",
       "81.00       21\n",
       "82.00       25\n",
       "83.00       16\n",
       "84.00       13\n",
       "85.00       10\n",
       "86.00       18\n",
       "87.00       14\n",
       "88.00       13\n",
       "89.00        4\n",
       "90.00        7\n",
       "91.00        7\n",
       "92.00        2\n",
       "93.00        4\n",
       "94.00        4\n",
       "Name: attention_index, Length: 95, dtype: int64"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.attention_index.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "      <td>Comedian Jerry Lewis dies at 91, publicist says</td>\n",
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       "      <td>http://www.cnn.com/2017/08/23/politics/donald-...</td>\n",
       "      <td>Exclusive: Top Trump aide's email draws new sc...</td>\n",
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       "      <td>http://www.cnn.com/2017/08/25/politics/sheriff...</td>\n",
       "      <td>Trump pardons former Sheriff Joe Arpaio</td>\n",
       "      <td>2017-08-26 00:12:13.114</td>\n",
       "      <td>2017-08-26 00:08:53.000</td>\n",
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       "      <td>http://www.bbc.co.uk/news/world-us-canada-4094...</td>\n",
       "      <td>Trump stance on Charlottesville violence anger...</td>\n",
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       "      <td>2017-08-17T01:00:32.000Z</td>\n",
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       "      <td>https://www.buzzfeed.com/tahliapritchard/wtf-l...</td>\n",
       "      <td>Anna Faris And Chris Pratt Have Separated And ...</td>\n",
       "      <td>2017-08-07 04:15:07.564</td>\n",
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       "      <td>http://www.cnn.com/2017/08/19/us/uss-indianapo...</td>\n",
       "      <td>USS Indianapolis wreckage found after 72 years</td>\n",
       "      <td>2017-08-19 21:48:54.983</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>01df60472742a7c78b459655420a8853276dc27d</th>\n",
       "      <td>http://www.cnn.com/2017/08/15/politics/trump-n...</td>\n",
       "      <td>A Trump meltdown for the ages</td>\n",
       "      <td>2017-08-16 00:09:12.292</td>\n",
       "      <td>2017-08-16 00:04:13.000</td>\n",
       "      <td>91711</td>\n",
       "      <td>122.42</td>\n",
       "      <td>2017-08-16T02:36:01.474Z</td>\n",
       "      <td>25210</td>\n",
       "      <td>57318</td>\n",
       "      <td>9183</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28025271.00</td>\n",
       "      <td>2017-08-16T07:31:02.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4ec50c8407848cb16f316e3e0c2e14aaa304d179</th>\n",
       "      <td>http://www.cnn.com/2017/08/12/us/charlottesvil...</td>\n",
       "      <td>Charlottesville Car Crash Suspect ID'd</td>\n",
       "      <td>2017-08-13 00:48:16.687</td>\n",
       "      <td>2017-08-13 00:44:39.000</td>\n",
       "      <td>58241</td>\n",
       "      <td>386.00</td>\n",
       "      <td>2017-08-13T01:26:00.541Z</td>\n",
       "      <td>18589</td>\n",
       "      <td>33135</td>\n",
       "      <td>6517</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28009351.00</td>\n",
       "      <td>2017-08-13T01:13:53.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>b22459b17924232209165651ca966817e62bae0d</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/mother-of-...</td>\n",
       "      <td>Mother Of Charlottesville Victim Heather Heyer...</td>\n",
       "      <td>2017-08-13 17:18:10.345</td>\n",
       "      <td>2017-08-13 17:13:55.007</td>\n",
       "      <td>362776</td>\n",
       "      <td>1219.61</td>\n",
       "      <td>2017-08-13T18:31:59.604Z</td>\n",
       "      <td>18095</td>\n",
       "      <td>319256</td>\n",
       "      <td>25425</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>9667599.00</td>\n",
       "      <td>2017-08-13T18:15:02.000Z</td>\n",
       "      <td>215</td>\n",
       "      <td>50.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>eb1ea0977d72adf0202b9b664a4a654518e1ce9d</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/boston-ral...</td>\n",
       "      <td>Provocative ‘Free Speech’ Rally In Boston Rail...</td>\n",
       "      <td>2017-08-19 15:18:14.650</td>\n",
       "      <td>2017-08-19 15:12:13.499</td>\n",
       "      <td>179591</td>\n",
       "      <td>984.25</td>\n",
       "      <td>2017-08-19T18:46:01.039Z</td>\n",
       "      <td>13594</td>\n",
       "      <td>156017</td>\n",
       "      <td>9980</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>9688346.00</td>\n",
       "      <td>2017-08-19T15:30:14.000Z</td>\n",
       "      <td>215</td>\n",
       "      <td>50.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6e2393cf8bac39690bf4b94992ccfba6db274864</th>\n",
       "      <td>http://money.cnn.com/2017/08/01/media/rod-whee...</td>\n",
       "      <td>Lawsuit: Fox News concocted Seth Rich story wi...</td>\n",
       "      <td>2017-08-01 15:05:04.309</td>\n",
       "      <td>2017-08-01 14:57:38.000</td>\n",
       "      <td>81594</td>\n",
       "      <td>6806.29</td>\n",
       "      <td>2017-08-25T05:16:00.976Z</td>\n",
       "      <td>23323</td>\n",
       "      <td>42758</td>\n",
       "      <td>15513</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>27943487.00</td>\n",
       "      <td>2017-08-01T15:14:04.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a5a37e29d0b2e7640e19f583868777c1493555e3</th>\n",
       "      <td>http://www.cnn.com/2017/08/17/europe/barcelona...</td>\n",
       "      <td>Barcelona: Van hits crowd near Las Ramblas tou...</td>\n",
       "      <td>2017-08-17 15:30:14.333</td>\n",
       "      <td>2017-08-17 15:25:03.000</td>\n",
       "      <td>111971</td>\n",
       "      <td>318.36</td>\n",
       "      <td>2017-08-18T15:08:00.299Z</td>\n",
       "      <td>19298</td>\n",
       "      <td>75050</td>\n",
       "      <td>17623</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28034233.00</td>\n",
       "      <td>2017-08-17T15:54:05.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e2e204c9d6597400ca2e5de9814a6fda4c4bfe70</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-latin-america-...</td>\n",
       "      <td>Brazil opens vast Amazon reserve to mining</td>\n",
       "      <td>2017-08-24 01:00:02.079</td>\n",
       "      <td>2017-08-24 00:58:16.000</td>\n",
       "      <td>59106</td>\n",
       "      <td>63.31</td>\n",
       "      <td>2017-08-24T14:41:14.857Z</td>\n",
       "      <td>5037</td>\n",
       "      <td>48396</td>\n",
       "      <td>5673</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>43604821.00</td>\n",
       "      <td>2017-08-24T10:31:05.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f828a5f05babd9e0649d18d84b772da0e7ef8401</th>\n",
       "      <td>https://www.buzzfeed.com/katebubacz/17-photos-...</td>\n",
       "      <td>17 Photos Show Just How Bad The Flooding In Ho...</td>\n",
       "      <td>2017-08-29 13:36:12.544</td>\n",
       "      <td>2017-08-29 13:35:39.000</td>\n",
       "      <td>517210</td>\n",
       "      <td>379.25</td>\n",
       "      <td>2017-08-31T09:05:59.786Z</td>\n",
       "      <td>78481</td>\n",
       "      <td>363072</td>\n",
       "      <td>75657</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2658046.00</td>\n",
       "      <td>2017-08-29T19:47:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>50.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>098aede0a3d2b2599c5b811ccd9753b831bad17e</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-us-canada-4098...</td>\n",
       "      <td>Top White House aide Bannon out</td>\n",
       "      <td>2017-08-18 16:57:02.011</td>\n",
       "      <td>2017-08-18 16:55:20.000</td>\n",
       "      <td>71003</td>\n",
       "      <td>710.07</td>\n",
       "      <td>2017-08-18T17:10:02.373Z</td>\n",
       "      <td>14694</td>\n",
       "      <td>48131</td>\n",
       "      <td>8178</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>43515983.00</td>\n",
       "      <td>2017-08-18T16:59:10.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2fce23ab50ee1745425b42e66c742e9825e48a23</th>\n",
       "      <td>http://www.cnn.com/2017/08/23/politics/james-c...</td>\n",
       "      <td>James Clapper questions Trump's fitness for of...</td>\n",
       "      <td>2017-08-23 05:12:20.942</td>\n",
       "      <td>2017-08-23 05:09:07.000</td>\n",
       "      <td>78220</td>\n",
       "      <td>246.93</td>\n",
       "      <td>2017-08-23T13:26:01.041Z</td>\n",
       "      <td>11993</td>\n",
       "      <td>55529</td>\n",
       "      <td>10698</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28095696.00</td>\n",
       "      <td>2017-08-23T10:00:43.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a0bdb495002919e09d1914f3bb24dcf4d5cbc08d</th>\n",
       "      <td>https://www.buzzfeed.com/franciswhittaker/hund...</td>\n",
       "      <td>Hundreds Of Torch-Wielding White Nationalists ...</td>\n",
       "      <td>2017-08-12 11:24:16.334</td>\n",
       "      <td>2017-08-12 11:13:01.000</td>\n",
       "      <td>188331</td>\n",
       "      <td>558.53</td>\n",
       "      <td>2017-08-12T17:41:59.747Z</td>\n",
       "      <td>31255</td>\n",
       "      <td>144074</td>\n",
       "      <td>13002</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2637450.00</td>\n",
       "      <td>2017-08-12T12:21:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>50.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31ef7cec6f7147227efec4dd20fc6b8a41a10335</th>\n",
       "      <td>http://www.cnn.com/2017/08/08/politics/trump-r...</td>\n",
       "      <td>Trump retweets Fox News story containing class...</td>\n",
       "      <td>2017-08-08 14:45:16.587</td>\n",
       "      <td>2017-08-08 14:43:33.000</td>\n",
       "      <td>60213</td>\n",
       "      <td>207.37</td>\n",
       "      <td>2017-08-08T16:48:00.411Z</td>\n",
       "      <td>17783</td>\n",
       "      <td>32555</td>\n",
       "      <td>9875</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>27979804.00</td>\n",
       "      <td>2017-08-08T16:30:54.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2d0ddfd661c23998c276541a016b256730b8ca1b</th>\n",
       "      <td>http://www.cnn.com/2017/08/09/politics/north-k...</td>\n",
       "      <td>North Korea 'seriously examining' a strike dir...</td>\n",
       "      <td>2017-08-09 22:51:15.957</td>\n",
       "      <td>2017-08-09 22:46:41.000</td>\n",
       "      <td>46202</td>\n",
       "      <td>69.01</td>\n",
       "      <td>2017-08-10T00:18:01.784Z</td>\n",
       "      <td>15566</td>\n",
       "      <td>23075</td>\n",
       "      <td>7561</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>27991392.00</td>\n",
       "      <td>2017-08-10T07:00:02.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>44.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>be905b7cba28714bc3ad434ada164772afed06de</th>\n",
       "      <td>https://www.nytimes.com/2017/08/01/us/politics...</td>\n",
       "      <td>Justice Dept. to Take On Affirmative Action in...</td>\n",
       "      <td>2017-08-02 00:09:00.463</td>\n",
       "      <td>2017-08-02 00:06:27.000</td>\n",
       "      <td>292124</td>\n",
       "      <td>663.59</td>\n",
       "      <td>2017-08-02T01:10:00.882Z</td>\n",
       "      <td>71964</td>\n",
       "      <td>173472</td>\n",
       "      <td>46688</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>14358478.00</td>\n",
       "      <td>2017-08-02T00:13:17.000Z</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf</th>\n",
       "      <td>http://www.dailymail.co.uk/tvshowbiz/article-4...</td>\n",
       "      <td>Roxy Jacenko makes light of her rough year</td>\n",
       "      <td>2017-08-28 05:30:16.907</td>\n",
       "      <td>2017-08-28 05:27:23.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-08-28T05:44:01.142Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>feff1a6e1719b32589f732d78f0674b16eda7362</th>\n",
       "      <td>http://www.dailymail.co.uk/news/article-480178...</td>\n",
       "      <td>Footage emerges police pursuing three teens in...</td>\n",
       "      <td>2017-08-18 08:57:15.138</td>\n",
       "      <td>2017-08-18 08:52:22.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.02</td>\n",
       "      <td>2017-08-18T14:20:02.194Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>09adeb0c3ea57cca3be66948b344ae5f11d9fd9c</th>\n",
       "      <td>https://www.washingtonpost.com/sports/wizards/...</td>\n",
       "      <td>AP source: Pelicans get Clark on 1-year deal a...</td>\n",
       "      <td>2017-08-02 14:30:10.098</td>\n",
       "      <td>2017-08-02 14:27:18.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-08-03T00:02:01.056Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2449b63cc77bb3703652f186d50c61471d5e5413</th>\n",
       "      <td>http://www.bbc.co.uk/news/av/world-middle-east...</td>\n",
       "      <td>Syria: Fighters and families leave Lebanese bo...</td>\n",
       "      <td>2017-08-02 14:27:04.281</td>\n",
       "      <td>2017-08-02 14:24:42.000</td>\n",
       "      <td>0</td>\n",
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       "41585d376ffd7791f8c499de2dfdff11d10c3c60               Clearing: how to book a campus visit   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b  IS cleric granted early release in Indonesia i...   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28  2 bears, not 1, killed Swedish wildlife park e...   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b                            When the City Went Dark   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792  AP PHOTOS: Editor selections from the past wee...   \n",
       "534aceb294e07e723db4511fe18de4e24010daef  Jackson-Hamel scores late to rally Impact past...   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3  As he so often did on the field, LT stole the ...   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9  Austrians first in Europe to make bacon on ind...   \n",
       "848a780fc988417184a63cf9fae5fec626700494  APNewsBreak: Judge retires after leave for alc...   \n",
       "f1878be211ca091760999efaa1376302dff74b4c               Keeping Student Loan Debt Manageable   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6  Sierra Leone mudslides death toll now above 40...   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d            8 Common Cover Letter Mistakes To Avoid   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f  The Latest: Disagreements in ASEAN delay joint...   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744                               Taj Jai Mahal Palace   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b  Italian authorities sequester German group’s r...   \n",
       "d691879d8e93adaac69382b77139e947e78d2900  Giacometti and Rashid Johnson: this week’s bes...   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0  Sierra Leone mudslides death toll now above 40...   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201  Brad Pitt loses court case after failing to pa...   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393         Bournemouth flats 'fake bomb': Man charged   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084  Vietnam battles dengue outbreaks with 42 perce...   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea  FANTASY PLAYS: Prospects for old faces in new ...   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f  Catalan regional president: at least one more ...   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec  Crossword blog: Cracking the Cryptics in real-...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb 2017-08-17 15:21:04.046   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221 2017-08-29 10:21:13.664   \n",
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       "112452b06d5c5258740297738f9e06d00aa9c9b5 2017-08-20 18:36:11.103   \n",
       "792373740c48788621261190c2aa513bcbb30584 2017-08-18 12:30:19.614   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288 2017-08-23 23:08:52.155   \n",
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       "814b1b017e3be7459408e36be2a5206f4c348631 2017-08-16 10:03:07.016   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c 2017-08-07 04:15:07.564   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841 2017-08-19 21:48:54.983   \n",
       "01df60472742a7c78b459655420a8853276dc27d 2017-08-16 00:09:12.292   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179 2017-08-13 00:48:16.687   \n",
       "b22459b17924232209165651ca966817e62bae0d 2017-08-13 17:18:10.345   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d 2017-08-19 15:18:14.650   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864 2017-08-01 15:05:04.309   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3 2017-08-17 15:30:14.333   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70 2017-08-24 01:00:02.079   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401 2017-08-29 13:36:12.544   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e 2017-08-18 16:57:02.011   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23 2017-08-23 05:12:20.942   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d 2017-08-12 11:24:16.334   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335 2017-08-08 14:45:16.587   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b 2017-08-09 22:51:15.957   \n",
       "be905b7cba28714bc3ad434ada164772afed06de 2017-08-02 00:09:00.463   \n",
       "...                                                          ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf 2017-08-28 05:30:16.907   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362 2017-08-18 08:57:15.138   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c 2017-08-02 14:30:10.098   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413 2017-08-02 14:27:04.281   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4 2017-08-18 08:39:16.278   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063 2017-08-28 06:03:08.409   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516 2017-08-18 08:30:02.897   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60 2017-08-18 08:03:00.966   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b 2017-08-18 08:09:10.806   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28 2017-08-18 08:09:10.617   \n",
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       "bae1995a13356f0253db5122dd5677a29737b7b3 2017-08-06 04:18:07.131   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9 2017-08-18 08:21:06.251   \n",
       "848a780fc988417184a63cf9fae5fec626700494 2017-08-02 14:30:11.544   \n",
       "f1878be211ca091760999efaa1376302dff74b4c 2017-08-18 08:33:19.258   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6 2017-08-18 08:30:09.886   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d 2017-08-18 08:48:21.492   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f 2017-08-06 04:09:09.650   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744 2017-08-18 08:33:00.274   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b 2017-08-02 14:33:09.928   \n",
       "d691879d8e93adaac69382b77139e947e78d2900 2017-08-18 08:33:01.161   \n",
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       "144b7032d6d5f4c5bf515120000b20c449076201 2017-08-18 08:36:00.369   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393 2017-08-18 08:36:02.405   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084 2017-08-18 08:42:11.430   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea 2017-08-28 06:03:15.513   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f 2017-08-18 08:42:12.091   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec 2017-08-21 09:51:00.501   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb 2017-08-17 15:19:47.000   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221 2017-08-29 09:38:35.000   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6 2017-08-20 23:58:37.000   \n",
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       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4 2017-08-24 15:04:18.000   \n",
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       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048 2017-08-31 23:04:08.000   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5 2017-08-03 19:59:07.000   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5 2017-08-20 18:33:48.000   \n",
       "792373740c48788621261190c2aa513bcbb30584 2017-08-18 12:23:01.000   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288 2017-08-23 23:00:30.000   \n",
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       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c 2017-08-07 03:51:14.000   \n",
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       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d 2017-08-19 15:12:13.499   \n",
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       "a5a37e29d0b2e7640e19f583868777c1493555e3 2017-08-17 15:25:03.000   \n",
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       "2d0ddfd661c23998c276541a016b256730b8ca1b 2017-08-09 22:46:41.000   \n",
       "be905b7cba28714bc3ad434ada164772afed06de 2017-08-02 00:06:27.000   \n",
       "...                                                          ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf 2017-08-28 05:27:23.000   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362 2017-08-18 08:52:22.000   \n",
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       "144b7032d6d5f4c5bf515120000b20c449076201 2017-08-18 08:31:26.000   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393 2017-08-18 08:33:39.000   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084 2017-08-18 08:34:13.000   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea 2017-08-28 05:57:18.000   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f 2017-08-18 08:36:09.000   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec 2017-08-21 09:48:42.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb          173441   \n",
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       "...                                                  ...   \n",
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       "ec63335baa0d359e0a21ec3d739f60b12cbb3744               0   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b               0   \n",
       "d691879d8e93adaac69382b77139e947e78d2900               1   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0               0   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201               0   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393               0   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084               0   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea               0   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f               0   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec               1   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb                      675.67   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221                      182.59   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6                      267.58   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9                      704.31   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4                      170.40   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b                      878.50   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1                      305.26   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048                      295.08   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5                      427.50   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5                      145.03   \n",
       "792373740c48788621261190c2aa513bcbb30584                      280.08   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288                      727.59   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2                     1471.54   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631                      149.17   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c                     1458.83   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841                      143.53   \n",
       "01df60472742a7c78b459655420a8853276dc27d                      122.42   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179                      386.00   \n",
       "b22459b17924232209165651ca966817e62bae0d                     1219.61   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d                      984.25   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864                     6806.29   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3                      318.36   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70                       63.31   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401                      379.25   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e                      710.07   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23                      246.93   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d                      558.53   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335                      207.37   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b                       69.01   \n",
       "be905b7cba28714bc3ad434ada164772afed06de                      663.59   \n",
       "...                                                              ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf                        0.00   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362                        0.02   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c                        0.00   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413                        0.00   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4                        0.00   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063                        0.00   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516                        0.00   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60                        0.00   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b                        0.08   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28                        0.00   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b                        0.00   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792                        0.00   \n",
       "534aceb294e07e723db4511fe18de4e24010daef                        0.00   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3                        0.00   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9                        0.00   \n",
       "848a780fc988417184a63cf9fae5fec626700494                        0.02   \n",
       "f1878be211ca091760999efaa1376302dff74b4c                        0.00   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6                        0.00   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d                        0.00   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f                        0.02   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744                        0.00   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b                        0.00   \n",
       "d691879d8e93adaac69382b77139e947e78d2900                        0.08   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0                        0.00   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201                        0.00   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393                        0.00   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084                        0.00   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea                        0.00   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f                        0.00   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec                        0.02   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb        2017-08-17T17:10:00.551Z   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221        2017-08-30T01:03:59.596Z   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6        2017-08-21T02:27:59.624Z   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9        2017-08-12T16:41:59.688Z   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4        2017-08-24T17:33:59.839Z   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b        2017-08-23T19:06:02.548Z   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1        2017-08-25T16:54:00.927Z   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048        2017-09-01T03:14:00.674Z   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5        2017-08-03T21:16:03.290Z   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5        2017-08-20T19:14:01.425Z   \n",
       "792373740c48788621261190c2aa513bcbb30584        2017-08-18T13:46:01.819Z   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288        2017-08-24T01:10:00.187Z   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2        2017-08-26T00:38:01.696Z   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631        2017-08-17T01:58:00.704Z   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c        2017-08-07T04:28:02.423Z   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841        2017-08-20T09:04:00.053Z   \n",
       "01df60472742a7c78b459655420a8853276dc27d        2017-08-16T02:36:01.474Z   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179        2017-08-13T01:26:00.541Z   \n",
       "b22459b17924232209165651ca966817e62bae0d        2017-08-13T18:31:59.604Z   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d        2017-08-19T18:46:01.039Z   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864        2017-08-25T05:16:00.976Z   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3        2017-08-18T15:08:00.299Z   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70        2017-08-24T14:41:14.857Z   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401        2017-08-31T09:05:59.786Z   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e        2017-08-18T17:10:02.373Z   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23        2017-08-23T13:26:01.041Z   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d        2017-08-12T17:41:59.747Z   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335        2017-08-08T16:48:00.411Z   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b        2017-08-10T00:18:01.784Z   \n",
       "be905b7cba28714bc3ad434ada164772afed06de        2017-08-02T01:10:00.882Z   \n",
       "...                                                                  ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf        2017-08-28T05:44:01.142Z   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362        2017-08-18T14:20:02.194Z   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c        2017-08-03T00:02:01.056Z   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413        2017-08-03T02:02:00.328Z   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4        2017-08-18T10:56:01.931Z   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063        2017-08-28T06:16:01.250Z   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516        2017-08-18T11:50:01.962Z   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60        2017-08-18T11:22:02.489Z   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b        2017-08-18T10:38:01.961Z   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28        2017-08-18T11:28:03.101Z   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b        2017-08-18T11:38:02.348Z   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792        2017-08-28T07:02:01.176Z   \n",
       "534aceb294e07e723db4511fe18de4e24010daef        2017-08-07T03:16:00.321Z   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3        2017-08-07T03:16:00.322Z   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9        2017-08-18T11:40:02.479Z   \n",
       "848a780fc988417184a63cf9fae5fec626700494        2017-08-02T18:52:01.387Z   \n",
       "f1878be211ca091760999efaa1376302dff74b4c        2017-08-18T13:56:01.615Z   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6        2017-08-18T11:50:01.976Z   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d        2017-08-18T14:12:00.928Z   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f        2017-08-06T19:52:00.178Z   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744        2017-08-18T13:56:00.979Z   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b        2017-08-03T00:03:59.812Z   \n",
       "d691879d8e93adaac69382b77139e947e78d2900        2017-08-18T08:46:01.439Z   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0        2017-08-18T11:00:02.361Z   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201        2017-08-18T12:58:00.255Z   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393        2017-08-18T12:58:01.643Z   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084        2017-08-18T11:00:02.358Z   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea        2017-08-28T06:16:01.257Z   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f        2017-08-18T11:00:02.360Z   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec        2017-08-21T18:20:00.629Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb        35777        107789   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221        29194        303992   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6        42828         72468   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9       117325        250533   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4        35187         70329   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b        21292         82021   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1        38640        111205   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048        30702         95261   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5        19602         66142   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5         9078         52326   \n",
       "792373740c48788621261190c2aa513bcbb30584        16659         65132   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288        11787         48412   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2       109735        227193   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631         3159         56289   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c        96493        268928   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841         8148         54663   \n",
       "01df60472742a7c78b459655420a8853276dc27d        25210         57318   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179        18589         33135   \n",
       "b22459b17924232209165651ca966817e62bae0d        18095        319256   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d        13594        156017   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864        23323         42758   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3        19298         75050   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70         5037         48396   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401        78481        363072   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e        14694         48131   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23        11993         55529   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d        31255        144074   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335        17783         32555   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b        15566         23075   \n",
       "be905b7cba28714bc3ad434ada164772afed06de        71964        173472   \n",
       "...                                               ...           ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf            0             0   \n",
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       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec            0             0   \n",
       "\n",
       "                                          fb_shares       ...         \\\n",
       "id                                                        ...          \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb      29875       ...          \n",
       "f9a431a718aea4611db8680cb9a2b32935932221      71908       ...          \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6      22312       ...          \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9      54884       ...          \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4      12333       ...          \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b       8990       ...          \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1      18372       ...          \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048      29369       ...          \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5      10817       ...          \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5      17839       ...          \n",
       "792373740c48788621261190c2aa513bcbb30584       7321       ...          \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288      10728       ...          \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2      30763       ...          \n",
       "814b1b017e3be7459408e36be2a5206f4c348631       3516       ...          \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c      29569       ...          \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841      11909       ...          \n",
       "01df60472742a7c78b459655420a8853276dc27d       9183       ...          \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179       6517       ...          \n",
       "b22459b17924232209165651ca966817e62bae0d      25425       ...          \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d       9980       ...          \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864      15513       ...          \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3      17623       ...          \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70       5673       ...          \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401      75657       ...          \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e       8178       ...          \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23      10698       ...          \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d      13002       ...          \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335       9875       ...          \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b       7561       ...          \n",
       "be905b7cba28714bc3ad434ada164772afed06de      46688       ...          \n",
       "...                                             ...       ...          \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf          0       ...          \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362          1       ...          \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c          0       ...          \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413          0       ...          \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4          0       ...          \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063          0       ...          \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516          0       ...          \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60          0       ...          \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b          1       ...          \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28          0       ...          \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b          0       ...          \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792          0       ...          \n",
       "534aceb294e07e723db4511fe18de4e24010daef          0       ...          \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3          0       ...          \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9          0       ...          \n",
       "848a780fc988417184a63cf9fae5fec626700494          1       ...          \n",
       "f1878be211ca091760999efaa1376302dff74b4c          0       ...          \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6          0       ...          \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d          1       ...          \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f          1       ...          \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744          0       ...          \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b          0       ...          \n",
       "d691879d8e93adaac69382b77139e947e78d2900          1       ...          \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0          0       ...          \n",
       "144b7032d6d5f4c5bf515120000b20c449076201          0       ...          \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393          0       ...          \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084          0       ...          \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea          0       ...          \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f          0       ...          \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec          1       ...          \n",
       "\n",
       "                                         fb_brand_page fb_brand_page_likes  \\\n",
       "id                                                                           \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb          True         43501654.00   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221          True          2663443.00   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6          True         28047682.00   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9          True         28007316.00   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4          True          2649391.00   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b          True          2646799.00   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1          True         28100799.00   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048          True         28173209.00   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5          True         27957228.00   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5          True         28046550.00   \n",
       "792373740c48788621261190c2aa513bcbb30584          True         28038684.00   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288          True         28096369.00   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2          True         28106048.00   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631          True         43487706.00   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c          True          2628374.00   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841          True         28043784.00   \n",
       "01df60472742a7c78b459655420a8853276dc27d          True         28025271.00   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179          True         28009351.00   \n",
       "b22459b17924232209165651ca966817e62bae0d          True          9667599.00   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d          True          9688346.00   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864          True         27943487.00   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3          True         28034233.00   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70          True         43604821.00   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401          True          2658046.00   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e          True         43515983.00   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23          True         28095696.00   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d          True          2637450.00   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335          True         27979804.00   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b          True         27991392.00   \n",
       "be905b7cba28714bc3ad434ada164772afed06de          True         14358478.00   \n",
       "...                                                ...                 ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf         False                 nan   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362         False                 nan   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c         False                 nan   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413         False                 nan   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4         False                 nan   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063         False                 nan   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516         False                 nan   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60         False                 nan   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b         False                 nan   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28         False                 nan   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b         False                 nan   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792         False                 nan   \n",
       "534aceb294e07e723db4511fe18de4e24010daef         False                 nan   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3         False                 nan   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9         False                 nan   \n",
       "848a780fc988417184a63cf9fae5fec626700494         False                 nan   \n",
       "f1878be211ca091760999efaa1376302dff74b4c         False                 nan   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6         False                 nan   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d         False                 nan   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f         False                 nan   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744         False                 nan   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b         False                 nan   \n",
       "d691879d8e93adaac69382b77139e947e78d2900         False                 nan   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0         False                 nan   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201         False                 nan   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393         False                 nan   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084         False                 nan   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea         False                 nan   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f         False                 nan   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec         False                 nan   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb  2017-08-17T21:03:24.000Z   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221  2017-09-03T00:10:00.000Z   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6  2017-08-21T00:30:29.000Z   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9  2017-08-12T16:32:58.000Z   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4  2017-08-24T23:34:00.000Z   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b  2017-08-23T18:02:40.000Z   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1  2017-08-25T06:45:02.000Z   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048  2017-09-01T03:00:46.000Z   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5  2017-08-03T20:07:04.000Z   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5  2017-08-20T18:36:25.000Z   \n",
       "792373740c48788621261190c2aa513bcbb30584  2017-08-18T13:00:13.000Z   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288  2017-08-23T23:17:40.000Z   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2  2017-08-26T00:17:16.000Z   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631  2017-08-17T01:00:32.000Z   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c  2017-08-07T04:12:23.000Z   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841  2017-08-19T23:00:09.000Z   \n",
       "01df60472742a7c78b459655420a8853276dc27d  2017-08-16T07:31:02.000Z   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179  2017-08-13T01:13:53.000Z   \n",
       "b22459b17924232209165651ca966817e62bae0d  2017-08-13T18:15:02.000Z   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d  2017-08-19T15:30:14.000Z   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864  2017-08-01T15:14:04.000Z   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3  2017-08-17T15:54:05.000Z   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70  2017-08-24T10:31:05.000Z   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401  2017-08-29T19:47:00.000Z   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e  2017-08-18T16:59:10.000Z   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23  2017-08-23T10:00:43.000Z   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d  2017-08-12T12:21:00.000Z   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335  2017-08-08T16:30:54.000Z   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b  2017-08-10T07:00:02.000Z   \n",
       "be905b7cba28714bc3ad434ada164772afed06de  2017-08-02T00:13:17.000Z   \n",
       "...                                                            ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf                       NaN   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362                       NaN   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c                       NaN   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413                       NaN   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4                       NaN   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063                       NaN   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516                       NaN   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60                       NaN   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b                       NaN   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28                       NaN   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b                       NaN   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792                       NaN   \n",
       "534aceb294e07e723db4511fe18de4e24010daef                       NaN   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3                       NaN   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9                       NaN   \n",
       "848a780fc988417184a63cf9fae5fec626700494                       NaN   \n",
       "f1878be211ca091760999efaa1376302dff74b4c                       NaN   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6                       NaN   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d                       NaN   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f                       NaN   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744                       NaN   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b                       NaN   \n",
       "d691879d8e93adaac69382b77139e947e78d2900                       NaN   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0                       NaN   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201                       NaN   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393                       NaN   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084                       NaN   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea                       NaN   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f                       NaN   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec                       NaN   \n",
       "\n",
       "                                          alexa_rank  response_score  \\\n",
       "id                                                                     \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb          96           50.00   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221         147           50.00   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6         105           50.00   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9         105           50.00   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4         147           50.00   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b         147           50.00   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1         105           50.00   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048         105           50.00   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5         105           49.00   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5         105           48.00   \n",
       "792373740c48788621261190c2aa513bcbb30584         105           48.00   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288         105           47.00   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2         105           50.00   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631          96           46.00   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c         147           50.00   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841         105           47.00   \n",
       "01df60472742a7c78b459655420a8853276dc27d         105           48.00   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179         105           46.00   \n",
       "b22459b17924232209165651ca966817e62bae0d         215           50.00   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d         215           50.00   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864         105           48.00   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3         105           50.00   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70          96           46.00   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401         147           50.00   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e          96           47.00   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23         105           47.00   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d         147           50.00   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335         105           46.00   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b         105           44.00   \n",
       "be905b7cba28714bc3ad434ada164772afed06de         120           50.00   \n",
       "...                                              ...             ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf         158            0.00   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362         158            0.00   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c         191            0.00   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413          96            0.00   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4         158            0.00   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063         191            0.00   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516         191            0.00   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60         142            0.00   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b         191            0.00   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28         191            0.00   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b         215            0.00   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792         191            0.00   \n",
       "534aceb294e07e723db4511fe18de4e24010daef         191            0.00   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3         191            0.00   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9         191            0.00   \n",
       "848a780fc988417184a63cf9fae5fec626700494         191            0.00   \n",
       "f1878be211ca091760999efaa1376302dff74b4c         215            0.00   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6         191            0.00   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d         215            0.00   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f         191            0.00   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744         370            0.00   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b         191            0.00   \n",
       "d691879d8e93adaac69382b77139e947e78d2900         142            0.00   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0         191            0.00   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201         370            0.00   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393          96            0.00   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084         191            0.00   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea         191            0.00   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f         191            0.00   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec         142            0.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb       20.00         9.00   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221       19.00        14.00   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6       20.00         9.00   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9       20.00         9.00   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4       19.00        13.00   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b       19.00        13.00   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1       20.00         8.00   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048       20.00         8.00   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5       20.00         8.00   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5       20.00         9.00   \n",
       "792373740c48788621261190c2aa513bcbb30584       20.00         8.00   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288       20.00         9.00   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2       20.00         6.00   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631       20.00        10.00   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c       19.00        11.00   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841       20.00         9.00   \n",
       "01df60472742a7c78b459655420a8853276dc27d       20.00         8.00   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179       20.00         9.00   \n",
       "b22459b17924232209165651ca966817e62bae0d       17.00        10.00   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d       17.00        10.00   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864       20.00         7.00   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3       20.00         5.00   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70       20.00         9.00   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401       19.00        10.00   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e       20.00         7.00   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23       20.00         7.00   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d       19.00         9.00   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335       20.00         8.00   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b       20.00         9.00   \n",
       "be905b7cba28714bc3ad434ada164772afed06de       20.00         4.00   \n",
       "...                                              ...          ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf        0.00         0.00   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362        0.00         0.00   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c        0.00         0.00   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413        0.00         0.00   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4        0.00         0.00   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063        0.00         0.00   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516        0.00         0.00   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60        0.00         0.00   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b        0.00         0.00   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28        0.00         0.00   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b        0.00         0.00   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792        0.00         0.00   \n",
       "534aceb294e07e723db4511fe18de4e24010daef        0.00         0.00   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3        0.00         0.00   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9        0.00         0.00   \n",
       "848a780fc988417184a63cf9fae5fec626700494        0.00         0.00   \n",
       "f1878be211ca091760999efaa1376302dff74b4c        0.00         0.00   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6        0.00         0.00   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d        0.00         0.00   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f        0.00         0.00   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744        0.00         0.00   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b        0.00         0.00   \n",
       "d691879d8e93adaac69382b77139e947e78d2900        0.00         0.00   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0        0.00         0.00   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201        0.00         0.00   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393        0.00         0.00   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084        0.00         0.00   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea        0.00         0.00   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f        0.00         0.00   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec        0.00         0.00   \n",
       "\n",
       "                                         facebook_promotion_score  \\\n",
       "id                                                                  \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb                    15.00   \n",
       "f9a431a718aea4611db8680cb9a2b32935932221                    11.00   \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6                    15.00   \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9                    15.00   \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4                    11.00   \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b                    11.00   \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1                    15.00   \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048                    15.00   \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5                    15.00   \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5                    15.00   \n",
       "792373740c48788621261190c2aa513bcbb30584                    15.00   \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288                    15.00   \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2                    15.00   \n",
       "814b1b017e3be7459408e36be2a5206f4c348631                    15.00   \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c                    11.00   \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841                    15.00   \n",
       "01df60472742a7c78b459655420a8853276dc27d                    15.00   \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179                    15.00   \n",
       "b22459b17924232209165651ca966817e62bae0d                    13.00   \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d                    13.00   \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864                    15.00   \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3                    15.00   \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70                    15.00   \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401                    11.00   \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e                    15.00   \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23                    15.00   \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d                    11.00   \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335                    15.00   \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b                    15.00   \n",
       "be905b7cba28714bc3ad434ada164772afed06de                    14.00   \n",
       "...                                                           ...   \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf                     0.00   \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362                     0.00   \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c                     0.00   \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413                     0.00   \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4                     0.00   \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063                     0.00   \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516                     0.00   \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60                     0.00   \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b                     0.00   \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28                     0.00   \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b                     0.00   \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792                     0.00   \n",
       "534aceb294e07e723db4511fe18de4e24010daef                     0.00   \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3                     0.00   \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9                     0.00   \n",
       "848a780fc988417184a63cf9fae5fec626700494                     0.00   \n",
       "f1878be211ca091760999efaa1376302dff74b4c                     0.00   \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6                     0.00   \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d                     0.00   \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f                     0.00   \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744                     0.00   \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b                     0.00   \n",
       "d691879d8e93adaac69382b77139e947e78d2900                     0.00   \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0                     0.00   \n",
       "144b7032d6d5f4c5bf515120000b20c449076201                     0.00   \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393                     0.00   \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084                     0.00   \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea                     0.00   \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f                     0.00   \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec                     0.00   \n",
       "\n",
       "                                          promotion_score  attention_index  \n",
       "id                                                                          \n",
       "5bc8df6cf7ba6fda075fdec7a8a27e5b00a054fb            44.00            94.00  \n",
       "f9a431a718aea4611db8680cb9a2b32935932221            44.00            94.00  \n",
       "9d3d837c118469c6be614d62b79ccc67d4222ed6            44.00            94.00  \n",
       "2f7b62a0d2a4675bfaa7b32ec314ce5acf001ac9            44.00            94.00  \n",
       "5c22bca605c658ebd6d1afbadd26884feb2f2fb4            43.00            93.00  \n",
       "8e3d4660760facbf3164d02034b7b726ffd7716b            43.00            93.00  \n",
       "2a7d9f5e137fe37f993840df08c956a63ea8a9f1            43.00            93.00  \n",
       "f5f4bbb52b32df81f30e9f83cb79fd090c90b048            43.00            93.00  \n",
       "513f414d516e4d00495c7d9bf28359787432cbd5            43.00            92.00  \n",
       "112452b06d5c5258740297738f9e06d00aa9c9b5            44.00            92.00  \n",
       "792373740c48788621261190c2aa513bcbb30584            43.00            91.00  \n",
       "ff28c43982b9fbace7a7037fedee1ee77de2c288            44.00            91.00  \n",
       "7e11b41f3b01e4600644f96180e797a0ee4d8fa2            41.00            91.00  \n",
       "814b1b017e3be7459408e36be2a5206f4c348631            45.00            91.00  \n",
       "9157b50690c17e478aae8c0cbbfbb9c3db6b038c            41.00            91.00  \n",
       "f52d21c6a22899376b57b365c99a4523b7cad841            44.00            91.00  \n",
       "01df60472742a7c78b459655420a8853276dc27d            43.00            91.00  \n",
       "4ec50c8407848cb16f316e3e0c2e14aaa304d179            44.00            90.00  \n",
       "b22459b17924232209165651ca966817e62bae0d            40.00            90.00  \n",
       "eb1ea0977d72adf0202b9b664a4a654518e1ce9d            40.00            90.00  \n",
       "6e2393cf8bac39690bf4b94992ccfba6db274864            42.00            90.00  \n",
       "a5a37e29d0b2e7640e19f583868777c1493555e3            40.00            90.00  \n",
       "e2e204c9d6597400ca2e5de9814a6fda4c4bfe70            44.00            90.00  \n",
       "f828a5f05babd9e0649d18d84b772da0e7ef8401            40.00            90.00  \n",
       "098aede0a3d2b2599c5b811ccd9753b831bad17e            42.00            89.00  \n",
       "2fce23ab50ee1745425b42e66c742e9825e48a23            42.00            89.00  \n",
       "a0bdb495002919e09d1914f3bb24dcf4d5cbc08d            39.00            89.00  \n",
       "31ef7cec6f7147227efec4dd20fc6b8a41a10335            43.00            89.00  \n",
       "2d0ddfd661c23998c276541a016b256730b8ca1b            44.00            88.00  \n",
       "be905b7cba28714bc3ad434ada164772afed06de            38.00            88.00  \n",
       "...                                                   ...              ...  \n",
       "ea230b14069c1fe526e7f42d4f4ba7c38bbc88cf             0.00             0.00  \n",
       "feff1a6e1719b32589f732d78f0674b16eda7362             0.00             0.00  \n",
       "09adeb0c3ea57cca3be66948b344ae5f11d9fd9c             0.00             0.00  \n",
       "2449b63cc77bb3703652f186d50c61471d5e5413             0.00             0.00  \n",
       "2871dd160a1d8304572bd7252fbc453570d8e6c4             0.00             0.00  \n",
       "e7bff28fd2679057599d7ed22b60c38c4180a063             0.00             0.00  \n",
       "e0e12393c45c788a21b219e7f11514e3259d6516             0.00             0.00  \n",
       "41585d376ffd7791f8c499de2dfdff11d10c3c60             0.00             0.00  \n",
       "922ae172676d3ac344c7271f1f474babc439fb4b             0.00             0.00  \n",
       "3da538b715310642f0052392dd4a2dcbb1970a28             0.00             0.00  \n",
       "94d289cea79893321d4e461b6b6f3dad2ff0c55b             0.00             0.00  \n",
       "5ec7b3f8d818d6fd77eb5cef16779a709f7e2792             0.00             0.00  \n",
       "534aceb294e07e723db4511fe18de4e24010daef             0.00             0.00  \n",
       "bae1995a13356f0253db5122dd5677a29737b7b3             0.00             0.00  \n",
       "5876875e2c6c0b653ce4b13d120d5aa1c4b260d9             0.00             0.00  \n",
       "848a780fc988417184a63cf9fae5fec626700494             0.00             0.00  \n",
       "f1878be211ca091760999efaa1376302dff74b4c             0.00             0.00  \n",
       "0c59cf32da069488867a72869d4b0aa6715b12e6             0.00             0.00  \n",
       "1656ad7fc35b3762dd6e8ed3df3fc28d5505984d             0.00             0.00  \n",
       "8e142110e7b53e0939ddd4fee7c6cfd77887fc9f             0.00             0.00  \n",
       "ec63335baa0d359e0a21ec3d739f60b12cbb3744             0.00             0.00  \n",
       "9bbfbfa88f510e893f9cd9351feeb2e804ed653b             0.00             0.00  \n",
       "d691879d8e93adaac69382b77139e947e78d2900             0.00             0.00  \n",
       "916d02e97272090b68aa4a7f174db860e599f8f0             0.00             0.00  \n",
       "144b7032d6d5f4c5bf515120000b20c449076201             0.00             0.00  \n",
       "87dcccefc3866303de4d1ce37bcf1752cbaa6393             0.00             0.00  \n",
       "895ce04b567747b53e4019158f2eeb2096ec5084             0.00             0.00  \n",
       "363e164d7ef68963ee54da261b3b40bcfabadbea             0.00             0.00  \n",
       "e62c5553a5f0b912f2467075cb7c21e266f85e9f             0.00             0.00  \n",
       "084a7ac1c07cb222a7aa283f5b6d84d484cb54ec             0.00             0.00  \n",
       "\n",
       "[148391 rows x 25 columns]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# and lets see the articles with the biggest attention index\n",
    "data.sort_values(\"attention_index\", ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"score_diff\"] = data.promotion_score - data.response_score"
   ]
  },
  {
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       "      <th>89008fd54697f1ab1c7ce17b39827ff84d5af7a3</th>\n",
       "      <td>https://www.buzzfeed.com/mitchprothero/the-big...</td>\n",
       "      <td>The Big Question for Investigators: Was The Ch...</td>\n",
       "      <td>2017-08-15 02:09:13.889</td>\n",
       "      <td>2017-08-15 01:05:44</td>\n",
       "      <td>70</td>\n",
       "      <td>0.24</td>\n",
       "      <td>2017-08-15T03:24:01.573Z</td>\n",
       "      <td>3</td>\n",
       "      <td>49</td>\n",
       "      <td>18</td>\n",
       "      <td>...</td>\n",
       "      <td>2640309.00</td>\n",
       "      <td>2017-08-15T15:00:24.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>8.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c8feb6222f1e07129625c8562c2ec6b9153c5a08</th>\n",
       "      <td>https://www.buzzfeed.com/johnstanton/what-its-...</td>\n",
       "      <td>What It’s Like To Be Deported To Mexico After ...</td>\n",
       "      <td>2017-08-03 14:24:16.235</td>\n",
       "      <td>2017-08-01 17:19:53</td>\n",
       "      <td>5</td>\n",
       "      <td>0.42</td>\n",
       "      <td>2017-08-03T14:38:02.873Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>1.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89a7ab6236bad1abd7afc15172b9e8a953eea9d4</th>\n",
       "      <td>http://www.foxnews.com/politics/2017/08/01/pen...</td>\n",
       "      <td>Pentagon investigators find ‘security risks’ i...</td>\n",
       "      <td>2017-08-01 22:05:04.897</td>\n",
       "      <td>2017-08-01 22:00:00</td>\n",
       "      <td>0</td>\n",
       "      <td>130.83</td>\n",
       "      <td>2017-08-02T01:18:00.243Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>15585866.00</td>\n",
       "      <td>2017-08-02T09:30:00.000Z</td>\n",
       "      <td>285</td>\n",
       "      <td>0.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46b0401e9b8415dc7d7980c1c777748c5807ca72</th>\n",
       "      <td>http://www.dailymail.co.uk/news/article-476969...</td>\n",
       "      <td>Sinead O'Connor says she is suicidal and livin...</td>\n",
       "      <td>2017-08-07 23:24:14.335</td>\n",
       "      <td>2017-08-07 23:21:28</td>\n",
       "      <td>0</td>\n",
       "      <td>79.36</td>\n",
       "      <td>2017-08-08T00:52:01.245Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>12014442.00</td>\n",
       "      <td>2017-08-08T00:15:10.000Z</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797</th>\n",
       "      <td>https://www.buzzfeed.com/dominicholden/6-reaso...</td>\n",
       "      <td>6 Reasons Why Trump Would Hit A Wall If He Tri...</td>\n",
       "      <td>2017-08-25 14:03:21.184</td>\n",
       "      <td>2017-08-23 15:45:55</td>\n",
       "      <td>1</td>\n",
       "      <td>0.08</td>\n",
       "      <td>2017-08-25T14:16:01.942Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73580f28cdc22b2cf6f133f5d8d0c76f2f92da92</th>\n",
       "      <td>http://www.dailymail.co.uk/news/article-482068...</td>\n",
       "      <td>Neighbour calls autistic boy 'it' in horrifyin...</td>\n",
       "      <td>2017-08-24 17:30:14.417</td>\n",
       "      <td>2017-08-24 17:29:55</td>\n",
       "      <td>0</td>\n",
       "      <td>43.08</td>\n",
       "      <td>2017-08-24T20:50:00.443Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>12173156.00</td>\n",
       "      <td>2017-08-24T19:45:28.000Z</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cbce8eb31a83066977187d0dde3cbe4d29793374</th>\n",
       "      <td>https://www.theguardian.com/politics/2017/aug/...</td>\n",
       "      <td>UK will 'mirror' much of EU customs system for...</td>\n",
       "      <td>2017-08-15 11:33:00.655</td>\n",
       "      <td>2017-08-15 11:31:05</td>\n",
       "      <td>0</td>\n",
       "      <td>77.77</td>\n",
       "      <td>2017-08-16T09:11:59.702Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>7646421.00</td>\n",
       "      <td>2017-08-15T12:56:36.000Z</td>\n",
       "      <td>142</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d896f7176dd863588481711c0eb8e19905b961ca</th>\n",
       "      <td>https://www.theguardian.com/education/2017/aug...</td>\n",
       "      <td>GCSE overhaul means results are ‘incomparable ...</td>\n",
       "      <td>2017-08-23 23:03:03.669</td>\n",
       "      <td>2017-08-23 23:01:03</td>\n",
       "      <td>12</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2017-08-24T22:30:02.773Z</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "      <td>...</td>\n",
       "      <td>7657721.00</td>\n",
       "      <td>2017-08-24T06:19:07.000Z</td>\n",
       "      <td>142</td>\n",
       "      <td>2.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>034dadb1c814df55b110fb56d45f220a0af64ba8</th>\n",
       "      <td>https://www.buzzfeed.com/rosebuchanan/karate-kid</td>\n",
       "      <td>Meet The Little Syrian Girl Who Wants To Be A ...</td>\n",
       "      <td>2017-08-15 16:57:17.726</td>\n",
       "      <td>2017-08-14 22:17:29</td>\n",
       "      <td>13</td>\n",
       "      <td>0.08</td>\n",
       "      <td>2017-08-15T17:10:02.786Z</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>7</td>\n",
       "      <td>...</td>\n",
       "      <td>2641800.00</td>\n",
       "      <td>2017-08-16T04:54:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>3.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed    http://www.bbc.co.uk/news/world-europe-41057304   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92    http://www.bbc.co.uk/news/world-europe-40982926   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f  http://www.bbc.co.uk/news/world-us-canada-4090...   \n",
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       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9  https://www.buzzfeed.com/leticiamiranda/scams-...   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4  https://www.buzzfeed.com/borzoudaragahi/the-wa...   \n",
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       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8  https://www.buzzfeed.com/buzzfeednews/taylor-s...   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369  https://www.theguardian.com/us-news/2017/aug/1...   \n",
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       "46b0401e9b8415dc7d7980c1c777748c5807ca72  http://www.dailymail.co.uk/news/article-476969...   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797  https://www.buzzfeed.com/dominicholden/6-reaso...   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92  http://www.dailymail.co.uk/news/article-482068...   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374  https://www.theguardian.com/politics/2017/aug/...   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca  https://www.theguardian.com/education/2017/aug...   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8   https://www.buzzfeed.com/rosebuchanan/karate-kid   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed           Man shot after attacking Brussels troops   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92        Key Barcelona attack suspect confirmed dead   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f           Trump: US 'locked and loaded' on N Korea   \n",
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       "6666e26a4ec8a7875c73b728cad8f353e2045bc4  The US Is Far More Deeply Involved In Syria Th...   \n",
       "927c56158391f50dfc3b1549195deebf175e2478  Want To Fire A Professor For Sexual Harassment...   \n",
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       "034dadb1c814df55b110fb56d45f220a0af64ba8  Meet The Little Syrian Girl Who Wants To Be A ...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed 2017-08-25 19:33:00.838   \n",
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       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3 2017-08-15 02:09:13.889   \n",
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       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4 2017-08-01 22:05:04.897   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72 2017-08-07 23:24:14.335   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797 2017-08-25 14:03:21.184   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92 2017-08-24 17:30:14.417   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374 2017-08-15 11:33:00.655   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca 2017-08-23 23:03:03.669   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8 2017-08-15 16:57:17.726   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed 2017-08-25 19:30:37               0   \n",
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       "a891d138c2bcf31d948afcfb856a59f991d78e4f 2017-08-11 11:39:05               0   \n",
       "7871898fe8e346056041debe5afffde02118dd33 2017-08-23 01:44:46               0   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965 2017-08-09 14:00:57               1   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3 2017-08-01 18:54:02               3   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9 2017-08-16 15:28:55               2   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4 2017-08-05 15:12:13               3   \n",
       "927c56158391f50dfc3b1549195deebf175e2478 2017-08-15 15:41:29               1   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae 2017-08-21 00:30:00               0   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8 2017-08-07 18:54:12              37   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369 2017-08-12 15:48:52               0   \n",
       "2711716851862d1880226d271c35931b00411551 2017-08-24 00:59:23              63   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8 2017-08-22 01:55:06               0   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2 2017-08-18 21:12:12              60   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006 2017-08-18 16:26:10              64   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3 2017-08-15 01:05:44              70   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08 2017-08-01 17:19:53               5   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4 2017-08-01 22:00:00               0   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72 2017-08-07 23:21:28               0   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797 2017-08-23 15:45:55               1   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92 2017-08-24 17:29:55               0   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374 2017-08-15 11:31:05               0   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca 2017-08-23 23:01:03              12   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8 2017-08-14 22:17:29              13   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed                      147.96   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92                     1668.82   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f                     2549.83   \n",
       "7871898fe8e346056041debe5afffde02118dd33                        0.00   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965                        0.08   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3                        0.25   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9                        0.17   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4                        0.25   \n",
       "927c56158391f50dfc3b1549195deebf175e2478                        0.08   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae                       53.16   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8                        0.11   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369                     2478.92   \n",
       "2711716851862d1880226d271c35931b00411551                        0.37   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8                        6.50   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2                        0.25   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006                        0.50   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3                        0.24   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08                        0.42   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4                      130.83   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72                       79.36   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797                        0.08   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92                       43.08   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374                       77.77   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca                        1.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8                        0.08   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed        2017-08-25T21:10:02.357Z   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92        2017-08-19T21:52:00.484Z   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f        2017-08-12T19:19:59.811Z   \n",
       "7871898fe8e346056041debe5afffde02118dd33        2017-08-25T10:04:01.518Z   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965        2017-08-13T14:20:01.132Z   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3        2017-08-05T12:34:01.753Z   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9        2017-08-17T15:56:01.851Z   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4        2017-08-06T15:26:00.707Z   \n",
       "927c56158391f50dfc3b1549195deebf175e2478        2017-08-17T14:22:01.807Z   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae        2017-08-21T03:02:00.081Z   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8        2017-08-08T18:55:59.837Z   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369        2017-08-14T10:24:00.752Z   \n",
       "2711716851862d1880226d271c35931b00411551        2017-08-25T00:12:01.927Z   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8        2017-08-22T02:10:01.693Z   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2        2017-08-19T14:38:01.259Z   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006        2017-08-18T19:20:03.083Z   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3        2017-08-15T03:24:01.573Z   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08        2017-08-03T14:38:02.873Z   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4        2017-08-02T01:18:00.243Z   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72        2017-08-08T00:52:01.245Z   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797        2017-08-25T14:16:01.942Z   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92        2017-08-24T20:50:00.443Z   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374        2017-08-16T09:11:59.702Z   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca        2017-08-24T22:30:02.773Z   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8        2017-08-15T17:10:02.786Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed            0             0   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92            0             0   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f            0             0   \n",
       "7871898fe8e346056041debe5afffde02118dd33            0             0   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965            0             0   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3            0             0   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9            0             0   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4            0             0   \n",
       "927c56158391f50dfc3b1549195deebf175e2478            0             0   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae            0             0   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8            6             9   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369            0             0   \n",
       "2711716851862d1880226d271c35931b00411551           16            27   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8            0             0   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2            4            23   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006            7            17   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3            3            49   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08            0             0   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4            0             0   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72            0             0   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797            0             0   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92            0             0   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374            0             0   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca            2             4   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8            0             6   \n",
       "\n",
       "                                          fb_shares     ...      \\\n",
       "id                                                      ...       \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed          0     ...       \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92          0     ...       \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f          0     ...       \n",
       "7871898fe8e346056041debe5afffde02118dd33          0     ...       \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965          1     ...       \n",
       "de58848c3fba3550be9fa164194024dc17baacb3          3     ...       \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9          2     ...       \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4          3     ...       \n",
       "927c56158391f50dfc3b1549195deebf175e2478          1     ...       \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae          0     ...       \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8         22     ...       \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369          0     ...       \n",
       "2711716851862d1880226d271c35931b00411551         20     ...       \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8          0     ...       \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2         33     ...       \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006         40     ...       \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3         18     ...       \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08          5     ...       \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4          0     ...       \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72          0     ...       \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797          1     ...       \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92          0     ...       \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374          0     ...       \n",
       "d896f7176dd863588481711c0eb8e19905b961ca          6     ...       \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8          7     ...       \n",
       "\n",
       "                                         fb_brand_page_likes  \\\n",
       "id                                                             \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed         43641284.00   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92         43518815.00   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f         43416675.00   \n",
       "7871898fe8e346056041debe5afffde02118dd33          2650108.00   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965          2638724.00   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3          2626421.00   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9          2643708.00   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4          2627238.00   \n",
       "927c56158391f50dfc3b1549195deebf175e2478          2643633.00   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae         43546090.00   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8          2636375.00   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369          7643415.00   \n",
       "2711716851862d1880226d271c35931b00411551          2650910.00   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8          7655513.00   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2          2645223.00   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006          2645358.00   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3          2640309.00   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08                 nan   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4         15585866.00   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72         12014442.00   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797                 nan   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92         12173156.00   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374          7646421.00   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca          7657721.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8          2641800.00   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed  2017-08-25T19:37:22.000Z   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92  2017-08-18T20:35:08.000Z   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f  2017-08-11T11:48:41.000Z   \n",
       "7871898fe8e346056041debe5afffde02118dd33  2017-08-25T14:48:20.000Z   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965  2017-08-13T18:33:00.000Z   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3  2017-08-05T17:39:00.000Z   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9  2017-08-17T18:09:00.000Z   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4  2017-08-06T22:40:00.000Z   \n",
       "927c56158391f50dfc3b1549195deebf175e2478  2017-08-17T16:39:00.000Z   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae  2017-08-21T02:37:12.000Z   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8  2017-08-12T00:13:39.000Z   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369  2017-08-12T15:59:29.000Z   \n",
       "2711716851862d1880226d271c35931b00411551  2017-08-26T17:44:00.000Z   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8  2017-08-22T08:20:00.000Z   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2  2017-08-20T00:30:00.000Z   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006  2017-08-20T21:03:00.000Z   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3  2017-08-15T15:00:24.000Z   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08                       NaN   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4  2017-08-02T09:30:00.000Z   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72  2017-08-08T00:15:10.000Z   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797                       NaN   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92  2017-08-24T19:45:28.000Z   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374  2017-08-15T12:56:36.000Z   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca  2017-08-24T06:19:07.000Z   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8  2017-08-16T04:54:00.000Z   \n",
       "\n",
       "                                          alexa_rank  response_score  \\\n",
       "id                                                                     \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed          96            0.00   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92          96            0.00   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f          96            0.00   \n",
       "7871898fe8e346056041debe5afffde02118dd33         147            0.00   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965         147            0.00   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3         147            1.00   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9         147            1.00   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4         147            1.00   \n",
       "927c56158391f50dfc3b1549195deebf175e2478         147            0.00   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae          96            0.00   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8         147            5.00   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369         142            0.00   \n",
       "2711716851862d1880226d271c35931b00411551         147            7.00   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8         142            0.00   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2         147            7.00   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006         147            7.00   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3         147            8.00   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08         147            1.00   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4         285            0.00   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72         158            0.00   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797         147            0.00   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92         158            0.00   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374         142            0.00   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca         142            2.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8         147            3.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed       20.00        10.00   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92       20.00        10.00   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f       20.00         8.00   \n",
       "7871898fe8e346056041debe5afffde02118dd33       19.00        13.00   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965       19.00        13.00   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3       19.00        14.00   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9       19.00        14.00   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4       19.00        14.00   \n",
       "927c56158391f50dfc3b1549195deebf175e2478       19.00        12.00   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae       20.00         5.00   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8       19.00        13.00   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369       19.00         4.00   \n",
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       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8       19.00         4.00   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2       19.00        12.00   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006       19.00        11.00   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3       19.00        11.00   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08       19.00        15.00   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4       17.00         2.00   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72       18.00         1.00   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797       19.00        14.00   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92       18.00         1.00   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374       19.00         1.00   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca       19.00         3.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8       19.00         6.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed                     15.00   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92                     15.00   \n",
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       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965                     11.00   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3                     11.00   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9                     11.00   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4                     11.00   \n",
       "927c56158391f50dfc3b1549195deebf175e2478                     11.00   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae                     15.00   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8                     11.00   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369                     13.00   \n",
       "2711716851862d1880226d271c35931b00411551                     11.00   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8                     13.00   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2                     11.00   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006                     11.00   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3                     11.00   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08                      0.00   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4                     14.00   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72                     14.00   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797                      0.00   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92                     14.00   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374                     13.00   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca                     13.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8                     11.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed           45.00            45.00   \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92           45.00            45.00   \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f           43.00            43.00   \n",
       "7871898fe8e346056041debe5afffde02118dd33           43.00            43.00   \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965           43.00            43.00   \n",
       "de58848c3fba3550be9fa164194024dc17baacb3           44.00            45.00   \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9           44.00            45.00   \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4           44.00            45.00   \n",
       "927c56158391f50dfc3b1549195deebf175e2478           42.00            42.00   \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae           40.00            40.00   \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8           43.00            48.00   \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369           36.00            36.00   \n",
       "2711716851862d1880226d271c35931b00411551           43.00            50.00   \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8           36.00            36.00   \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2           42.00            49.00   \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006           41.00            48.00   \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3           41.00            49.00   \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08           34.00            35.00   \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4           33.00            33.00   \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72           33.00            33.00   \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797           33.00            33.00   \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92           33.00            33.00   \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374           33.00            33.00   \n",
       "d896f7176dd863588481711c0eb8e19905b961ca           35.00            37.00   \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8           36.00            39.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "a96c040af2ed0a2561a1bf0f4c19297f271ae3ed       45.00  \n",
       "5dd70fc9ea42b2d127033bcd64660f1940030c92       45.00  \n",
       "a891d138c2bcf31d948afcfb856a59f991d78e4f       43.00  \n",
       "7871898fe8e346056041debe5afffde02118dd33       43.00  \n",
       "2eee49e0cf12b7f87a2cdafb4cabfd17bdb53965       43.00  \n",
       "de58848c3fba3550be9fa164194024dc17baacb3       43.00  \n",
       "e0e54d8a3ca097df78e14a8ca6d30abb26e5ecb9       43.00  \n",
       "6666e26a4ec8a7875c73b728cad8f353e2045bc4       43.00  \n",
       "927c56158391f50dfc3b1549195deebf175e2478       42.00  \n",
       "d6047b1d2d2a850fa9053b6bd9c0aeef7df8fdae       40.00  \n",
       "a611b0ede73ab49dc8a7b82ef7a47fb5b0c8e0d8       38.00  \n",
       "7c61a13b28222804ce718ff15fc6c5349e246369       36.00  \n",
       "2711716851862d1880226d271c35931b00411551       36.00  \n",
       "3ba536b7e826a1d9d8873c786d733f3e4a49cbc8       36.00  \n",
       "2ebf576335435e03111cda6dca10e98892c8f3d2       35.00  \n",
       "e7222e4d2eb1eea9c874b5f07b5fe82b6167f006       34.00  \n",
       "89008fd54697f1ab1c7ce17b39827ff84d5af7a3       33.00  \n",
       "c8feb6222f1e07129625c8562c2ec6b9153c5a08       33.00  \n",
       "89a7ab6236bad1abd7afc15172b9e8a953eea9d4       33.00  \n",
       "46b0401e9b8415dc7d7980c1c777748c5807ca72       33.00  \n",
       "adf8f08cd9b3c9d8308dfe6c72c4d61cff4fd797       33.00  \n",
       "73580f28cdc22b2cf6f133f5d8d0c76f2f92da92       33.00  \n",
       "cbce8eb31a83066977187d0dde3cbe4d29793374       33.00  \n",
       "d896f7176dd863588481711c0eb8e19905b961ca       33.00  \n",
       "034dadb1c814df55b110fb56d45f220a0af64ba8       33.00  \n",
       "\n",
       "[25 rows x 26 columns]"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# promoted but low response\n",
    "data.sort_values(\"score_diff\", ascending=False).head(25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
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       "      <th>url</th>\n",
       "      <th>headline</th>\n",
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       "      <td>https://www.buzzfeed.com/alexandrearagao/esse-...</td>\n",
       "      <td>Esse é o tamanho da área que Temer liberou par...</td>\n",
       "      <td>2017-08-24 20:33:16.676</td>\n",
       "      <td>2017-08-24 20:32:56.000</td>\n",
       "      <td>79416</td>\n",
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       "      <td>http://www.foxnews.com/us/2017/08/04/planned-p...</td>\n",
       "      <td>Planned Parenthood: Teach your preschoolers 't...</td>\n",
       "      <td>2017-08-04 15:15:06.479</td>\n",
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       "      <td>https://www.washingtonpost.com/news/post-polit...</td>\n",
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       "      <td>2017-08-15 20:35:02.695</td>\n",
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       "      <td>http://www.cnn.com/2017/08/20/entertainment/je...</td>\n",
       "      <td>Jerry Lee Lewis dies at 91</td>\n",
       "      <td>2017-08-20 18:24:15.530</td>\n",
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       "      <td>https://www.nytimes.com/2017/08/17/us/politics...</td>\n",
       "      <td>Trump ‘Sad’ Over Removal of ‘Our Beautiful Sta...</td>\n",
       "      <td>2017-08-17 13:24:00.082</td>\n",
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       "      <td>http://www.foxnews.com/entertainment/2017/08/2...</td>\n",
       "      <td>ESPN pulls Asian-American announcer from Virgi...</td>\n",
       "      <td>2017-08-23 01:35:04.690</td>\n",
       "      <td>2017-08-23 01:07:00.000</td>\n",
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       "      <td>https://www.washingtonpost.com/national/black-...</td>\n",
       "      <td>Black-clad anarchists storm Berkeley rally, as...</td>\n",
       "      <td>2017-08-28 00:42:14.796</td>\n",
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       "      <td>https://www.buzzfeed.com/beatrizserranomolina/...</td>\n",
       "      <td>11 actos de pura bondad tras el atentado para ...</td>\n",
       "      <td>2017-08-17 19:36:12.550</td>\n",
       "      <td>2017-08-17 19:31:30.000</td>\n",
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       "      <td>http://www.foxnews.com/sports/2017/08/23/hank-...</td>\n",
       "      <td>Hank Aaron says he won't watch NFL because of ...</td>\n",
       "      <td>2017-08-23 16:15:57.261</td>\n",
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       "      <td>https://www.theguardian.com/sport/2017/aug/30/...</td>\n",
       "      <td>Aaron Rodgers: Racial injustice is 'real' and ...</td>\n",
       "      <td>2017-08-30 17:03:20.697</td>\n",
       "      <td>2017-08-30 16:59:10.000</td>\n",
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       "      <td>http://www.foxnews.com/opinion/2017/08/23/cour...</td>\n",
       "      <td>Court rules high school football coach cannot ...</td>\n",
       "      <td>2017-08-23 23:30:10.887</td>\n",
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       "      <td>https://www.nytimes.com/2017/08/18/internation...</td>\n",
       "      <td>Crusader Who Saved Elephants From Poachers Is ...</td>\n",
       "      <td>2017-08-18 17:48:02.978</td>\n",
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       "      <td>http://www.foxnews.com/us/2017/08/29/florida-p...</td>\n",
       "      <td>Florida professor who tweeted Texans deserved ...</td>\n",
       "      <td>2017-08-29 17:05:04.018</td>\n",
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       "      <td>https://www.washingtonpost.com/news/energy-env...</td>\n",
       "      <td>The Trump administration just disbanded a fede...</td>\n",
       "      <td>2017-08-20 11:09:09.339</td>\n",
       "      <td>2017-08-20 11:00:32.000</td>\n",
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       "      <td>http://www.foxnews.com/us/2017/08/18/two-polic...</td>\n",
       "      <td>Two police officers slain near Orlando, Fla.</td>\n",
       "      <td>2017-08-19 04:10:03.038</td>\n",
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       "      <td>http://www.foxnews.com/us/2017/08/15/college-s...</td>\n",
       "      <td>College student, 22, arrested for her role in ...</td>\n",
       "      <td>2017-08-15 22:30:03.616</td>\n",
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       "      <td>http://www.dailymail.co.uk/tvshowbiz/article-4...</td>\n",
       "      <td>SPOILER ALERT! Pia Miller’s Home And Away char...</td>\n",
       "      <td>2017-08-10 07:42:16.320</td>\n",
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       "      <td>Trump’s Council of C.E.O.’s in Disarray Follow...</td>\n",
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       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "18189c494eb422d1b0ab26167076175e05a18985  https://www.washingtonpost.com/local/the-lates...   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d  http://www.cnn.com/2016/01/06/health/adult-col...   \n",
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       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b  http://www.huffingtonpost.com/entry/the-proble...   \n",
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       "d59d637fc9a6a7afc160f03452e26f3fff3eef93  http://www.foxnews.com/sports/2017/08/23/hank-...   \n",
       "146b733457836a9790f68079b387d3a64fc9908c  https://www.theguardian.com/sport/2017/aug/30/...   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360  http://www.foxnews.com/opinion/2017/08/23/cour...   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad  https://www.nytimes.com/2017/08/18/internation...   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67  http://www.foxnews.com/us/2017/08/29/florida-p...   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05  https://www.washingtonpost.com/news/energy-env...   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19  http://www.foxnews.com/us/2017/08/18/two-polic...   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47  http://www.foxnews.com/us/2017/08/15/college-s...   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be  http://www.dailymail.co.uk/tvshowbiz/article-4...   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d  https://www.nytimes.com/2017/08/16/business/tr...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "18189c494eb422d1b0ab26167076175e05a18985  The Latest: Police identify helicopter, troope...   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d          Why adult coloring books are good for you   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4                                     Remove Him Now   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4        Boston Holocaust Memorial smashed to pieces   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b           The Problem With Melania Isn't Her Shoes   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032  Charlottesville Killer Was Hillary Supporter, ...   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1  Anti-terrorism march in Barcelona in wake of a...   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153  Esse é o tamanho da área que Temer liberou par...   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc  Planned Parenthood: Teach your preschoolers 't...   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd  Trump doubles down on initial Charlottesville ...   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae                         Jerry Lee Lewis dies at 91   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9  Trump ‘Sad’ Over Removal of ‘Our Beautiful Sta...   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc  ESPN pulls Asian-American announcer from Virgi...   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919  Black-clad anarchists storm Berkeley rally, as...   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c  11 actos de pura bondad tras el atentado para ...   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93  Hank Aaron says he won't watch NFL because of ...   \n",
       "146b733457836a9790f68079b387d3a64fc9908c  Aaron Rodgers: Racial injustice is 'real' and ...   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360  Court rules high school football coach cannot ...   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad  Crusader Who Saved Elephants From Poachers Is ...   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67  Florida professor who tweeted Texans deserved ...   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05  The Trump administration just disbanded a fede...   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19       Two police officers slain near Orlando, Fla.   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47  College student, 22, arrested for her role in ...   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be  SPOILER ALERT! Pia Miller’s Home And Away char...   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d  Trump’s Council of C.E.O.’s in Disarray Follow...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "18189c494eb422d1b0ab26167076175e05a18985 2017-08-13 01:06:07.377   \n",
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       "9d5416e1d850656cec86528c97dfeef0b738d032 2017-08-13 20:35:16.681   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1 2017-08-26 16:20:14.530   \n",
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       "6404530570733ce02f88d193eb64a0597ac829ae 2017-08-20 18:24:15.530   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9 2017-08-17 13:24:00.082   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc 2017-08-23 01:35:04.690   \n",
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       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c 2017-08-17 19:36:12.550   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93 2017-08-23 16:15:57.261   \n",
       "146b733457836a9790f68079b387d3a64fc9908c 2017-08-30 17:03:20.697   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360 2017-08-23 23:30:10.887   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad 2017-08-18 17:48:02.978   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67 2017-08-29 17:05:04.018   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05 2017-08-20 11:09:09.339   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19 2017-08-19 04:10:03.038   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47 2017-08-15 22:30:03.616   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be 2017-08-10 07:42:16.320   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d 2017-08-16 16:27:00.512   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "18189c494eb422d1b0ab26167076175e05a18985 2017-08-13 01:04:19.000   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d 2017-08-01 17:37:24.000   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4 2017-08-19 17:48:07.484   \n",
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       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b 2017-08-31 00:47:41.413   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032 2017-08-13 19:04:01.000   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1 2017-08-26 16:20:14.530   \n",
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       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c 2017-08-17 19:31:30.000   \n",
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       "146b733457836a9790f68079b387d3a64fc9908c 2017-08-30 16:59:10.000   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360 2017-08-23 23:15:00.000   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad 2017-08-18 17:47:46.000   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67 2017-08-29 16:00:00.000   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05 2017-08-20 11:00:32.000   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19 2017-08-19 03:50:00.000   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47 2017-08-15 21:58:00.000   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be 2017-08-10 07:41:08.000   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d 2017-08-16 16:23:56.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "18189c494eb422d1b0ab26167076175e05a18985          339268   \n",
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       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
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       "cc2ddab940518388e6fdba6cb66fc182b187eb3d                      216.16   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
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       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
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       "eb4883d5690803f0708b472e24ff3345b586f2c9        29592         54307   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc       123252        133264   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919        53284         34686   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c         2054         66208   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93         9576         80768   \n",
       "146b733457836a9790f68079b387d3a64fc9908c         9522         57462   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360        90276        275289   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad         4033         64964   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67        27757         53203   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05        11504         66531   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19        11217         49251   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47        12099         49717   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be        27929         17486   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d         9229         32937   \n",
       "\n",
       "                                          fb_shares     ...      \\\n",
       "id                                                      ...       \n",
       "18189c494eb422d1b0ab26167076175e05a18985      41460     ...       \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d      40462     ...       \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4       7447     ...       \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4      16137     ...       \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b       8919     ...       \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032      31301     ...       \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1     140955     ...       \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153       9386     ...       \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc      28261     ...       \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd       9146     ...       \n",
       "6404530570733ce02f88d193eb64a0597ac829ae      18464     ...       \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9       8565     ...       \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc      30736     ...       \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919      12189     ...       \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c      12821     ...       \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93      16296     ...       \n",
       "146b733457836a9790f68079b387d3a64fc9908c       8631     ...       \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360      55940     ...       \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad       5157     ...       \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67       9999     ...       \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05       9657     ...       \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19       8269     ...       \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47       5334     ...       \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be       4163     ...       \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d      10402     ...       \n",
       "\n",
       "                                         fb_brand_page_likes  \\\n",
       "id                                                             \n",
       "18189c494eb422d1b0ab26167076175e05a18985                 nan   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d                 nan   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4                 nan   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4                 nan   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b                 nan   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032                 nan   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1                 nan   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153                 nan   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc                 nan   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd                 nan   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae                 nan   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9                 nan   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc                 nan   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919                 nan   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c                 nan   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93                 nan   \n",
       "146b733457836a9790f68079b387d3a64fc9908c                 nan   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360                 nan   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad                 nan   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67                 nan   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05                 nan   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19                 nan   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47                 nan   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be                 nan   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d                 nan   \n",
       "\n",
       "                                         fb_brand_page_time  alexa_rank  \\\n",
       "id                                                                        \n",
       "18189c494eb422d1b0ab26167076175e05a18985                NaN         191   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d                NaN         105   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4                NaN         215   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4                NaN         285   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b                NaN         215   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032                NaN       22568   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1                NaN         365   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153                NaN         147   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc                NaN         285   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd                NaN         191   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae                NaN         105   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9                NaN         120   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc                NaN         285   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919                NaN         191   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c                NaN         147   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93                NaN         285   \n",
       "146b733457836a9790f68079b387d3a64fc9908c                NaN         142   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360                NaN         285   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad                NaN         120   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67                NaN         285   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05                NaN         191   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19                NaN         285   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47                NaN         285   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be                NaN         158   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d                NaN         120   \n",
       "\n",
       "                                          response_score  lead_score  \\\n",
       "id                                                                     \n",
       "18189c494eb422d1b0ab26167076175e05a18985           50.00        0.00   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d           50.00        0.00   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4           49.00        0.00   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4           50.00        0.00   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b           49.00        0.00   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032           50.00        0.00   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1           50.00        0.00   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153           48.00        0.00   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc           50.00        0.00   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd           49.00        0.00   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae           48.00        0.00   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9           48.00        0.00   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc           50.00        0.00   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919           49.00        0.00   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c           48.00        0.00   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93           49.00        0.00   \n",
       "146b733457836a9790f68079b387d3a64fc9908c           47.00        0.00   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360           50.00        0.00   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad           47.00        0.00   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67           48.00        0.00   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05           48.00        0.00   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19           47.00        0.00   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47           47.00        0.00   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be           45.00        0.00   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d           45.00        0.00   \n",
       "\n",
       "                                          front_score  \\\n",
       "id                                                      \n",
       "18189c494eb422d1b0ab26167076175e05a18985         0.00   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d         0.00   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4         0.00   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4         1.00   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b         0.00   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032         1.00   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1         1.00   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153         0.00   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc         2.00   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd         1.00   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae         0.00   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9         0.00   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc         2.00   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919         1.00   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c         0.00   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93         1.00   \n",
       "146b733457836a9790f68079b387d3a64fc9908c         0.00   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360         3.00   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad         0.00   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67         2.00   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05         2.00   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19         1.00   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47         2.00   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be         0.00   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d         0.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "18189c494eb422d1b0ab26167076175e05a18985                      0.00   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d                      0.00   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4                      0.00   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4                      0.00   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b                      0.00   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032                      0.00   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1                      0.00   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153                      0.00   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc                      0.00   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd                      0.00   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae                      0.00   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9                      0.00   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc                      0.00   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919                      0.00   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c                      0.00   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93                      0.00   \n",
       "146b733457836a9790f68079b387d3a64fc9908c                      0.00   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360                      0.00   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad                      0.00   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67                      0.00   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05                      0.00   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19                      0.00   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47                      0.00   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be                      0.00   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d                      0.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "18189c494eb422d1b0ab26167076175e05a18985            0.00            50.00   \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d            0.00            50.00   \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4            0.00            49.00   \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4            1.00            51.00   \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b            0.00            49.00   \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032            1.00            51.00   \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1            1.00            51.00   \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153            0.00            48.00   \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc            2.00            52.00   \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd            1.00            50.00   \n",
       "6404530570733ce02f88d193eb64a0597ac829ae            0.00            48.00   \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9            0.00            48.00   \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc            2.00            52.00   \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919            1.00            50.00   \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c            0.00            48.00   \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93            1.00            50.00   \n",
       "146b733457836a9790f68079b387d3a64fc9908c            0.00            47.00   \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360            3.00            53.00   \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad            0.00            47.00   \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67            2.00            50.00   \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05            2.00            50.00   \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19            1.00            48.00   \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47            2.00            49.00   \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be            0.00            45.00   \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d            0.00            45.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "18189c494eb422d1b0ab26167076175e05a18985      -50.00  \n",
       "bf626f6b535a51ccffbebca41b61027d9dc8bf6d      -50.00  \n",
       "ecd92911b177889b3a902a7ddfde0d1ff086f8c4      -49.00  \n",
       "284b3454ef8d5235469a5c32f9ea20ba029b9ff4      -49.00  \n",
       "976ee1af9f57e6a45c1a02cc7a05cc6eccfa498b      -49.00  \n",
       "9d5416e1d850656cec86528c97dfeef0b738d032      -49.00  \n",
       "0a5ef01bb7614fe47fe1e2bff6ed8d90b3bf88d1      -49.00  \n",
       "558e0d04a7977fafaee4d2c5e7f78d514470d153      -48.00  \n",
       "597bc58ed2caa997c80434e8db5fa7f37d0167bc      -48.00  \n",
       "8e862d36fc0c1b6f14b78bb64ddebfe62c9426fd      -48.00  \n",
       "6404530570733ce02f88d193eb64a0597ac829ae      -48.00  \n",
       "eb4883d5690803f0708b472e24ff3345b586f2c9      -48.00  \n",
       "f026f1d592c1ea91ee7a2a69531b74e7fada42cc      -48.00  \n",
       "d7300e64ac7f445fd36cf88631473f8a0814a919      -48.00  \n",
       "8ea9f43ab02d1b7c56cdef6169ecf819fff2bf6c      -48.00  \n",
       "d59d637fc9a6a7afc160f03452e26f3fff3eef93      -48.00  \n",
       "146b733457836a9790f68079b387d3a64fc9908c      -47.00  \n",
       "9c2aefdd909a169662e267ac4674e29cd5ddf360      -47.00  \n",
       "7364eb9055281cb9954c8444bee1d5366d35a1ad      -47.00  \n",
       "6fc9f70c910c724431d9f1cfc073e02e95a30a67      -46.00  \n",
       "f6f5d20cf87c8e50560130566d95203f4a3bef05      -46.00  \n",
       "8dc913cfa338ad0c6ffe32dc68abcdb9214dcb19      -46.00  \n",
       "0051d5757667245ff75ba7ffae654e5007c0fb47      -45.00  \n",
       "e0d90ecadd5a0983f52e7fe1006e87d1dea782be      -45.00  \n",
       "cc2ddab940518388e6fdba6cb66fc182b187eb3d      -45.00  \n",
       "\n",
       "[25 rows x 26 columns]"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# high response but not promoted\n",
    "data.sort_values(\"score_diff\", ascending=True).head(25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write that data to a file. Note that the scores here are provisional for two reasons:\n",
    "1. they should be using a rolling-month based on the article publication date to calculate medians/min/max etc, whereas in this workbook we as just using values for the month of May\n",
    "2. for analysis, we've rounded the numbers; we don't expect to do that for the actual scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.to_csv(\"articles_with_provisional_scores_2017-08-01_2017-08-31.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attention index of an article is comprised of four components:\n",
    "\n",
    "- *lead score* (max 20 points) based on how long an article was the lead story on the publisher's home page, scaled by the traffic to that publisher\n",
    "- *front score* (max 15 points) based on how long an article was present on the publisher's home page, scaled by traffic to that publisher\n",
    "- *Facebook promotion score* (max 15 points) based on whether the article was promoted to the publisher's Facebook brand page, scaled by the reach of that brand page\n",
    "- *response score* (max 50 points) based on the number of Facebook engagements the article received, relative to other articles\n",
    "\n",
    "Or, in other words:\n",
    "\n",
    "\\begin{align}\n",
    "attentionIndex_a &= leadScore_a + frontScore_a + facebookPromotionScore_a + responseScore_a \\\\\n",
    "leadScore_a &= 20 \\cdot \\left(\\frac{\\min(minsAsLead_a, 60)}{alexaRank_a}\\right) \\cdot \\left( \\frac{\\min(alexaRank)}{60} \\right) \\\\\n",
    "frontScore_a &= \n",
    "15 \\cdot\n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \\cdot\n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right) \\\\\n",
    "facebookPromotion_a &= \n",
    "\\begin{cases}\n",
    " 0 \\text{ if not shared on brand page }\\\\\n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\text{ otherwise }\n",
    "\\end{cases}   \n",
    "\\\\\n",
    "responseScore_a &= \n",
    "\\begin{cases} \n",
    "   0 \\text{ if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))} \\text{ if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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