Google Play Store Apps - Data Visualization of Categories.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## John Ly (jtl222) &nbsp;&nbsp;&nbsp; Google Play Store Apps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Data Visualization of [Google Play Store Apps](https://www.kaggle.com/gauthamp10/google-playstore-apps/) from April 2019<br>\n",
    "&nbsp;&nbsp; - &nbsp;(Data collected by Gautham Prakash and Jithin Kohshy)\n",
    "\n",
    "The goal of this project is to determine if there is any correlation between total number of downloads and app category from a set of 32k apps published to the Google Play Store."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Useful Python Libraries for Data Visualization\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use('seaborn-talk')\n",
    "\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['bmh', 'classic', 'dark_background', 'fivethirtyeight', 'ggplot', 'grayscale', 'seaborn-bright', 'seaborn-colorblind', 'seaborn-dark-palette', 'seaborn-dark', 'seaborn-darkgrid', 'seaborn-deep', 'seaborn-muted', 'seaborn-notebook', 'seaborn-paper', 'seaborn-pastel', 'seaborn-poster', 'seaborn-talk', 'seaborn-ticks', 'seaborn-white', 'seaborn-whitegrid', 'seaborn', '_classic_test']\n"
     ]
    }
   ],
   "source": [
    "# https://matplotlib.org/tutorials/introductory/customizing.html\n",
    "print(plt.style.available)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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>App Name</th>\n",
       "      <th>Category</th>\n",
       "      <th>Rating</th>\n",
       "      <th>Reviews</th>\n",
       "      <th>Installs</th>\n",
       "      <th>Size</th>\n",
       "      <th>Price</th>\n",
       "      <th>Content Rating</th>\n",
       "      <th>Last Updated</th>\n",
       "      <th>Minimum Version</th>\n",
       "      <th>Latest Version</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>DoorDash - Food Delivery</td>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>4.548561573</td>\n",
       "      <td>305034.0</td>\n",
       "      <td>5,000,000+</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TripAdvisor Hotels Flights Restaurants Attract...</td>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>4.400671482</td>\n",
       "      <td>1207922.0</td>\n",
       "      <td>100,000,000+</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Peapod</td>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3.656329393</td>\n",
       "      <td>1967.0</td>\n",
       "      <td>100,000+</td>\n",
       "      <td>1.4M</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>September 20, 2018</td>\n",
       "      <td>5.0 and up</td>\n",
       "      <td>2.2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>foodpanda - Local Food Delivery</td>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>4.107232571</td>\n",
       "      <td>389154.0</td>\n",
       "      <td>10,000,000+</td>\n",
       "      <td>16M</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 22, 2019</td>\n",
       "      <td>4.2 and up</td>\n",
       "      <td>4.18.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>My CookBook Pro (Ad Free)</td>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>4.647752285</td>\n",
       "      <td>2291.0</td>\n",
       "      <td>10,000+</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>$5.99</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>April 1, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            App Name          Category  \\\n",
       "0                           DoorDash - Food Delivery    FOOD_AND_DRINK   \n",
       "1  TripAdvisor Hotels Flights Restaurants Attract...  TRAVEL_AND_LOCAL   \n",
       "2                                             Peapod          SHOPPING   \n",
       "3                    foodpanda - Local Food Delivery    FOOD_AND_DRINK   \n",
       "4                          My CookBook Pro (Ad Free)    FOOD_AND_DRINK   \n",
       "\n",
       "        Rating    Reviews      Installs                Size  Price  \\\n",
       "0  4.548561573   305034.0    5,000,000+  Varies with device      0   \n",
       "1  4.400671482  1207922.0  100,000,000+  Varies with device      0   \n",
       "2  3.656329393     1967.0      100,000+                1.4M      0   \n",
       "3  4.107232571   389154.0   10,000,000+                 16M      0   \n",
       "4  4.647752285     2291.0       10,000+  Varies with device  $5.99   \n",
       "\n",
       "  Content Rating        Last Updated     Minimum Version      Latest Version  \n",
       "0       Everyone      March 29, 2019  Varies with device  Varies with device  \n",
       "1       Everyone      March 29, 2019  Varies with device  Varies with device  \n",
       "2       Everyone  September 20, 2018          5.0 and up               2.2.0  \n",
       "3       Everyone      March 22, 2019          4.2 and up              4.18.2  \n",
       "4       Everyone       April 1, 2019  Varies with device  Varies with device  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# initializing csv file as a dataframe\n",
    "app_data = pd.read_csv('Google-Playstore-32K.csv')\n",
    "# removing columns with extraneous information\n",
    "# app_data = app_data.drop([\"Unnamed: 11\",\"Unnamed: 12\",\"Unnamed: 13\",\"Unnamed: 14\"], axis=1)\n",
    "app_data.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Google Play Store Categories by Number of Apps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "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>Category</th>\n",
       "      <th>Count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>3431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>2399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>2085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>1343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>1113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>GAME_PUZZLE</td>\n",
       "      <td>1006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>722</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>GAME_CASUAL</td>\n",
       "      <td>708</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>GAME_ARCADE</td>\n",
       "      <td>671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>637</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>GAME_ACTION</td>\n",
       "      <td>573</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>GAME_SIMULATION</td>\n",
       "      <td>517</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>GAME_CARD</td>\n",
       "      <td>497</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>GAME_EDUCATIONAL</td>\n",
       "      <td>493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>459</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>GAME_ROLE_PLAYING</td>\n",
       "      <td>421</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>GAME_STRATEGY</td>\n",
       "      <td>362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>361</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>GAME_RACING</td>\n",
       "      <td>319</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>GAME_ADVENTURE</td>\n",
       "      <td>316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>GAME_SPORTS</td>\n",
       "      <td>305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>GAME_WORD</td>\n",
       "      <td>272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>GAME_BOARD</td>\n",
       "      <td>271</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>AUTO_AND_VEHICLES</td>\n",
       "      <td>222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>WEATHER</td>\n",
       "      <td>200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>ART_AND_DESIGN</td>\n",
       "      <td>163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>GAME_CASINO</td>\n",
       "      <td>158</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>GAME_TRIVIA</td>\n",
       "      <td>145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>HOUSE_AND_HOME</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>PARENTING</td>\n",
       "      <td>109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>DATING</td>\n",
       "      <td>103</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>GAME_MUSIC</td>\n",
       "      <td>97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>EVENTS</td>\n",
       "      <td>93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>BEAUTY</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>COMICS</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>LIBRARIES_AND_DEMO</td>\n",
       "      <td>64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>Channel 2 News</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>Podcasts</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category  Count\n",
       "0             EDUCATION   3431\n",
       "1                 TOOLS   2399\n",
       "2         ENTERTAINMENT   2085\n",
       "3   BOOKS_AND_REFERENCE   1639\n",
       "4             LIFESTYLE   1368\n",
       "5               FINANCE   1367\n",
       "6       MUSIC_AND_AUDIO   1343\n",
       "7          PRODUCTIVITY   1113\n",
       "8              BUSINESS   1030\n",
       "9           GAME_PUZZLE   1006\n",
       "10      PERSONALIZATION    839\n",
       "11   NEWS_AND_MAGAZINES    825\n",
       "12   HEALTH_AND_FITNESS    801\n",
       "13     TRAVEL_AND_LOCAL    722\n",
       "14          GAME_CASUAL    708\n",
       "15          GAME_ARCADE    671\n",
       "16          PHOTOGRAPHY    663\n",
       "17             SHOPPING    662\n",
       "18        COMMUNICATION    637\n",
       "19               SPORTS    613\n",
       "20          GAME_ACTION    573\n",
       "21      GAME_SIMULATION    517\n",
       "22            GAME_CARD    497\n",
       "23              MEDICAL    495\n",
       "24     GAME_EDUCATIONAL    493\n",
       "25       FOOD_AND_DRINK    459\n",
       "26               SOCIAL    431\n",
       "27    GAME_ROLE_PLAYING    421\n",
       "28        GAME_STRATEGY    362\n",
       "29  MAPS_AND_NAVIGATION    361\n",
       "30        VIDEO_PLAYERS    330\n",
       "31          GAME_RACING    319\n",
       "32       GAME_ADVENTURE    316\n",
       "33          GAME_SPORTS    305\n",
       "34            GAME_WORD    272\n",
       "35           GAME_BOARD    271\n",
       "36    AUTO_AND_VEHICLES    222\n",
       "37              WEATHER    200\n",
       "38       ART_AND_DESIGN    163\n",
       "39          GAME_CASINO    158\n",
       "40          GAME_TRIVIA    145\n",
       "41       HOUSE_AND_HOME    128\n",
       "42            PARENTING    109\n",
       "43               DATING    103\n",
       "44           GAME_MUSIC     97\n",
       "45               EVENTS     93\n",
       "46               BEAUTY     90\n",
       "47               COMICS     81\n",
       "48   LIBRARIES_AND_DEMO     64\n",
       "49       Channel 2 News      1\n",
       "50                    )      1\n",
       "51             Podcasts      1"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# determine the types of Categories that exist in the Play Store and frequency of each one\n",
    "# place into two column dataframe for easier manipulation\n",
    "# https://stackoverflow.com/questions/47136436/python-pandas-convert-value-counts-output-to-dataframe\n",
    "app_categories = app_data['Category'].value_counts().rename_axis('Category').reset_index(name='Count')\n",
    "app_categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GAME_PUZZLE 1006\n",
      "GAME_CASUAL 708\n",
      "GAME_ARCADE 671\n",
      "GAME_ACTION 573\n",
      "GAME_SIMULATION 517\n",
      "GAME_CARD 497\n",
      "GAME_EDUCATIONAL 493\n",
      "GAME_ROLE_PLAYING 421\n",
      "GAME_STRATEGY 362\n",
      "GAME_RACING 319\n",
      "GAME_ADVENTURE 316\n",
      "GAME_SPORTS 305\n",
      "GAME_WORD 272\n",
      "GAME_BOARD 271\n",
      "GAME_CASINO 158\n",
      "GAME_TRIVIA 145\n",
      "GAME_MUSIC 97\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "7131"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Combining all gaming categories\n",
    "game_count = 0\n",
    "for i in range(0, len(app_categories)):\n",
    "    if ('GAME' in app_categories['Category'][i]):\n",
    "        game_count += app_categories['Count'][i]\n",
    "        print(app_categories['Category'][i], app_categories['Count'][i])\n",
    "        app_categories = app_categories.drop([i])\n",
    "game_count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
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       "\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>Category</th>\n",
       "      <th>Count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>3431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>2399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>2085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>1343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>1113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>722</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>637</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>459</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>361</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>AUTO_AND_VEHICLES</td>\n",
       "      <td>222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>WEATHER</td>\n",
       "      <td>200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>ART_AND_DESIGN</td>\n",
       "      <td>163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>HOUSE_AND_HOME</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>PARENTING</td>\n",
       "      <td>109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>DATING</td>\n",
       "      <td>103</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>EVENTS</td>\n",
       "      <td>93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>BEAUTY</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>COMICS</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>LIBRARIES_AND_DEMO</td>\n",
       "      <td>64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>Channel 2 News</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>Podcasts</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>GAMING</td>\n",
       "      <td>7131</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category  Count\n",
       "0             EDUCATION   3431\n",
       "1                 TOOLS   2399\n",
       "2         ENTERTAINMENT   2085\n",
       "3   BOOKS_AND_REFERENCE   1639\n",
       "4             LIFESTYLE   1368\n",
       "5               FINANCE   1367\n",
       "6       MUSIC_AND_AUDIO   1343\n",
       "7          PRODUCTIVITY   1113\n",
       "8              BUSINESS   1030\n",
       "9       PERSONALIZATION    839\n",
       "10   NEWS_AND_MAGAZINES    825\n",
       "11   HEALTH_AND_FITNESS    801\n",
       "12     TRAVEL_AND_LOCAL    722\n",
       "13          PHOTOGRAPHY    663\n",
       "14             SHOPPING    662\n",
       "15        COMMUNICATION    637\n",
       "16               SPORTS    613\n",
       "17              MEDICAL    495\n",
       "18       FOOD_AND_DRINK    459\n",
       "19               SOCIAL    431\n",
       "20  MAPS_AND_NAVIGATION    361\n",
       "21        VIDEO_PLAYERS    330\n",
       "22    AUTO_AND_VEHICLES    222\n",
       "23              WEATHER    200\n",
       "24       ART_AND_DESIGN    163\n",
       "25       HOUSE_AND_HOME    128\n",
       "26            PARENTING    109\n",
       "27               DATING    103\n",
       "28               EVENTS     93\n",
       "29               BEAUTY     90\n",
       "30               COMICS     81\n",
       "31   LIBRARIES_AND_DEMO     64\n",
       "32       Channel 2 News      1\n",
       "33                    )      1\n",
       "34             Podcasts      1\n",
       "35               GAMING   7131"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "app_categories=app_categories.append({'Category':'GAMING', 'Count':game_count}, ignore_index=True)\n",
    "app_categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# # Combining Dating with Social\n",
    "# print(app_categories['Count'][17])\n",
    "# app_categories['Count'][17] += app_categories['Count'][31]\n",
    "# app_categories = app_categories.drop([31])\n",
    "# print(app_categories['Count'][17])\n",
    "# app_categories = app_categories.sort_values(by=['Count'],ascending=False).reset_index(drop=True)\n",
    "# app_categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# # filter out outlier categories\n",
    "# main_categories = main_categories[main_categories['Count'].between(2, 270000)]\n",
    "# # re-sort and reset index for dataframe\n",
    "# main_categories = main_categories.sort_values(by=['Count'],ascending=False).reset_index(drop=True)\n",
    "# main_categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "VIDEO_PLAYERS 330\n",
      "AUTO_AND_VEHICLES 222\n",
      "WEATHER 200\n",
      "ART_AND_DESIGN 163\n",
      "HOUSE_AND_HOME 128\n",
      "PARENTING 109\n",
      "DATING 103\n",
      "EVENTS 93\n",
      "BEAUTY 90\n",
      "COMICS 81\n",
      "LIBRARIES_AND_DEMO 64\n",
      " Channel 2 News 1\n",
      ") 1\n",
      " Podcasts 1\n"
     ]
    },
    {
     "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>Category</th>\n",
       "      <th>Count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>GAMING</td>\n",
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       "      <th>1</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>3431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>2399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>2085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>1343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>1113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>722</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>637</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>459</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>361</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Others</td>\n",
       "      <td>1586</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category  Count\n",
       "0                GAMING   7131\n",
       "1             EDUCATION   3431\n",
       "2                 TOOLS   2399\n",
       "3         ENTERTAINMENT   2085\n",
       "4   BOOKS_AND_REFERENCE   1639\n",
       "5             LIFESTYLE   1368\n",
       "6               FINANCE   1367\n",
       "7       MUSIC_AND_AUDIO   1343\n",
       "8          PRODUCTIVITY   1113\n",
       "9              BUSINESS   1030\n",
       "10      PERSONALIZATION    839\n",
       "11   NEWS_AND_MAGAZINES    825\n",
       "12   HEALTH_AND_FITNESS    801\n",
       "13     TRAVEL_AND_LOCAL    722\n",
       "14          PHOTOGRAPHY    663\n",
       "15             SHOPPING    662\n",
       "16        COMMUNICATION    637\n",
       "17               SPORTS    613\n",
       "18              MEDICAL    495\n",
       "19       FOOD_AND_DRINK    459\n",
       "20               SOCIAL    431\n",
       "21  MAPS_AND_NAVIGATION    361\n",
       "22               Others   1586"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Combine Smaller Categories\n",
    "AppCat_Orig = app_categories.copy()\n",
    "others_count = 0\n",
    "for i in range(0, len(app_categories)):\n",
    "    if (app_categories['Count'][i]<350):\n",
    "        others_count += app_categories['Count'][i]\n",
    "        print(app_categories['Category'][i], app_categories['Count'][i])\n",
    "        app_categories = app_categories.drop([i])\n",
    "\n",
    "# Add \"Others\" category to encompass the remaining apps\n",
    "app_categories = app_categories.sort_values(by=['Count'],ascending=False).reset_index(drop=True)\n",
    "app_categories = app_categories.append({'Category':'Others', 'Count':others_count}, ignore_index=True)\n",
    "app_categories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wKzZ39suqelRQFoZgStHVInIB8AYwNCRt/CcoJN0w5eYLEVkKLMZKDF2qqtMA\nRGQEMEtVLwROBeoBP4hIiyBXHmb1SswR3lhEblXVC0VkJPAYcGKGx6EF5mLOGFV9uZxxovKCJee0\nTJL3SeBWEdkaU177AmVZMmeE780ICqSq/gPzACAi/8WOB5g1swnwYRgbbErMU7ByTtnsY0xEZmHx\nrqkoq6j9hcB/sQScySnWOxsobnl0nHWYgsKiTgWFRUMLCovGYw+mpzElwhXHDYsXgZ4hRq4TFsu3\nkpD9uyum7O2IJZf8C/gMGAachyk9bYNS+BJwGHAypmR2w7KwJyTm2w6WtUIghhkiumEu2brYjDf1\nkmTIw67NgcAFWNzln5jLtCx37PmYReySdAcgyH0AVrYoW9YYJ0ne7uHTDTteZSXOnAi8pqpTUw2i\nqj8BP4Z+03E6dny7Rz5DgLMrmMjyIimSe4KFsz8WxpIs75KwzRBglwqM6aynuOXRcdYxCgqLmmMz\njwwEdq9hcZxaQChf8ypmPRupqvGItQpMEXkjJLi0xF4u7sMsjldjyRRvYqVfjsbmze4cKVczEzhL\nRA4HnhWR3piV7wjM/V0P+CNYuE7F3LydgWhyx8FAQyze8tnwaYgl9ewtItuThKouFJFBWKxhmYhI\nK+AGzFX/eHltU1HGOCvljc5hLiL3A4Uisr2qfhMW349ZIOeRXtE9DRgdyizdr6ozRKQDpsBuC8wI\npXy6AwdFS/eIyMOYVfkgspvBCKzU0DgReQg755PCeHdiVsUHUm2kqp+KyDCstNDYLMd01lPc8ug4\n6wAFhUX5BYVFhxcUFr2AuZfuxRVHZ3WeBLZh9axrxObfPhmzShMypd/DlMWOWIzgCcB4YCKWWPFq\ntM5hhMGh/WjgbaxA+UbAwYkYP1VdrqoDUmQFD8ZcvS0wC+ETWPLOXmHslNZHVX2f1Bm/z4nIIhFZ\nCHyJ1aXsE6xlWZNinMHA81HFMbT7CZsRKGp9/BxYhFlp304zzlgsa70zMF5EFmNK2SZYHckxmLI/\nJrnmo6rOxRKhsk6cCee9J5bM8zFWhusFzEq9b/J+JjEUc187DuBFwh2nVlNQWLQrZmE8Bnu4bAh4\nkfBqRkTqA2diyTUJd+R/MKXkaeALVb0sxXZbYzUFN8OsV41VdY35vZO2GcGqmEdE5FJgB1U9Nvx+\nFvhVVS9J1d5xnNqHu60dp5ZRUFjUHlMYTwS2qllpnPWRMLPM7cDtQZHcE5s55mFgOuUnVpRg2fvT\nsMz9NQgx76HCAAAgAElEQVQlfGakWJ6DuW1bhMQdMNfwchG5OjrjjeM4tRdXHh2nFlBQWJQHHAWc\ngz3IfWaHDBg3ZshQzF1ZGj4l4bsYiz+bFf306HvLwtQ9bTiIyDFYfGAnVY0Hhe0tEbkKuBv4O3C/\niLRQ1eTM5ZOxhJBiEXkdGCIirVR1eoiHTLjMG4rICux81APiIlKETaPXEBDsvCX4AitLM6KK9vE5\nLGYxFX+o6rZVMY7jbKi429pxapCCwqL6WOmNC7H4MycLt/W4MUNKWFXaJBOWY1azWSk+M4E/sOkY\nf+vR95YV2Qi9rhCKif+Ilfe5DtvvTtjMJz8Bf8WyrdtgJWe+AjbFMm5PAXqp6s+hr5GYNfJ0Vf06\n1EW8A7OY91LVJVE3tIg8D0xW1b8lyXQ90FdVe4b2y7AknihTQyFwx3FqGFceHacGKCgsaopZGc/D\nMlydVVSn8pgppVgZmV8wZVKxzOHvevS9paxCy+sMYqnY/8QKYDfGyjw9AVyjqitCEewLMEvjllhy\nxRjgKizZphV2jMCSZvIxxXwOpmwmyvuUhuWfYLO5TAJ6hwzeHbG4yb0wL1hj4HqgbRg3maWhr7HA\nRdlO0yciH2JzSbeLusdFZCj28tZNVX+NLB8EnBsU2vbA71gdS7Bk0xnYjC1XZeJuD+NcjinGYJbX\n74HrVbUotEkeJx7G+g2rnTkqtBvBKoW8DzYD0HGq+kxkvERfTUI2/oSwP6+E9TmYpfkwTHH/Pt0+\nOE4Cd1s7zlqkoLBoM+yhfAZrFnF20tB7185tsGSNGFBy29WHk5NTLR7+PKBD+BwQXTFuzJDZmCL5\nLfANVq/wfz363rLOWMVUVbGSPGWtLwFuDp/VCCWAjk4oIUnrjgeGY0Wvn8UUvkOxOZOPV9W6od3e\nWF3B67Gah3OxKRXvxzK9c0K797CM5+Hhd5PQ9/si0l1VJ2WyvyLSFYvj/Ao4njXn9G4EPCYivdNY\nN1snstBD8tCj4XNMJnIAL6nqUWH7fKzY+JMicoyqvlrGOPnYPWOkiLRLzsCOcLeIfKCqU9IJEWpi\nPogp7nuq6oQM5XccwJVHx1krFBQWbYW5/QZiMWBOxdgHK0eTA+TE4+RWj+5YLptgik7vyLKF48YM\n+Rj4MHw+79H3lg0q+UNEGgB3YS7s5yOrXgzTHb4uIk+FRJp7gWtV9dZIu3dF5BDgexEZoaprlIYJ\nBbmvEJE9sdjMwgzFOx1zxX+OWRmTlcc3MVf7P7B40LSo6o8icizwS1LNx4wIpXGeE5s7+hpsSsmU\n7URkOHAjFtqSSnmcjZXceRirAVkmwar8GFbjcU9VnZ6N3I4DXufRcaqVgsKingWFRc9j5U1OwxXH\nyhLDkmFWsObczTVJE+BAzBX8PjB/3JghY8eNGXLjuDFD/jJuzJBmNSveWmF3zIJXlLxCVd/F5k8+\nREQ6Ye7jkSna/YzVIDw8zVivY4llaQkz3QzEFKsXgM1FJDlLfAEwCLgqFOjOCFX9HYsTzUiWMngd\n2DHM9LIGItIQCxeYit1HyuKM0E9ZUyOChReMxF589nbF0akobnl0nGqgoLCoD3AFsG8Ni+LUDHUx\nZWp34CIgNm7MkG8xq+QHwJgefW+ZV4PyVZZnRKQk8rsIm/t6djnFpqdhUwC2ivxOxdTQrjzmYMXK\nM6E/8Iuqfg0gIo9g9SxXmy1FVd8TkXuAx0Vk5wz7zlaWsrbPAaIvGJNCTGI97GVpFLCPqi5OsT0A\nqjpTRAYDT4nIm2G7ZO7A4iA3xqajfLYScjsbMK48Ok4VUlBY1BGb+zad5cTZsMjF5n3eAUuUKhk3\nZsgHWNxfUY++t0yoQdkqwrHJMY8ish/QSkTqqmqqTPUtMYUxYe3aHEsESdXuxzTjt8Ay5DPhdGD7\nSF3JekAjEdksxRzUl7LKgpxpQk42spS1fQyL+2wZlrULSS7dMMVcQ5xquajqyyED/jGsTmwyX2Il\nkU4BHhSR/4YZcxwnK9xt7ThVQEFhUeOCwqIbsOxJVxyddNTBrNK3A7+PGzPkf1++MWToNYWjdqxh\nuSrDR5gCtMaMMyJyIBYr+lrIaP6GFBnVIrItNq/2y2nGOgjL+i4XEdkK2BXL/O4ePl0xJeqM5PYh\na3ogVq6od/L6FP13BLpgoQoV5SDg81TTKqrq/7D6r5eJSLkz+UQ4H7Pcpppj+2FVXaGq92HZ88+H\nWFXHyQq3PG5AiMj2wGVYeY6NMHfJq8Blqjo70u5ULBPvGFV9NrK8PebymAhsqarxyLqWwGRgrKr2\nCcviwPaq+m0oLXFA+D0nst1QYLtEBmJYdhjwN+yG3wCrvfcYcEttq/NWUFiUA5wUj8dvyMnJ2aym\n5XHWWXZYUZxfClx1TeGo37A5oJ+5cljBVzUsV8ao6vIQb3d/yOZ9DisSfjBWQ/LSSIzdmcBrIrIE\nu9csxDJ/7wPuV9XxqcYQkaZYGIBgFrR0nA68oaq/JPUzArhaRK5LsR/jw/JrgHFldRzupw8Aj6tq\nOktpqu3rYorh+ZSf+f5lqIM5XETeSWEtTW6/MJQZeieNCIOx+arvwSyRjpMxbnncQBCRXbFA9O+x\nbNXG2Jt1Q2BMiK9JcDrwEBYXlIqGrDkt2TFYWY7yaIPdqMqT83zsYfIgVu+tGWYJOAq4tZxN1zoF\nhUW7YPXrRrji6FSWyVNaJma/6Yhl/Y6/pnDU99cUjrrsmsJRW9agaBmjqs9hlvcB2EvfVOxF8Mxo\nZrWqfozdf3bBXNSzsekRb1TV5PvOMBFZJCILsYSRTsBe6ZSooJydjM3Vncyz2L3lqBTrwEoIfZZi\n+bQgy3xMwR8NnFqeHEkcHrZfBEzB7rVHqeqYNNtdj72c35vJIKr6PvCvNG0SVuKBIvJ/mfTrOAm8\nSPgGgoiMx1xGlyUtz8fesG9W1bkisgP2xtoRK5LcOxJo3h6zPN4HlKrqOZF+PsUeAu3LsTw2wOKJ\nzlLVp0OboQTLo4i0wG6Qh6rqm0lybgUcoao3Vd1RqRgFhUVtgBvj8fiJOdVUZHADp8wi4b137Xwc\nZnUCYNjQw6/MrYliPVVMPE78nfd3mb5seb2yEkXimGv0UeDZK4cVrOHirO2E+8FSoFUouZNYno8p\nmYtUtX2KQtlR7lDVyzIpuB36nsDqhbGbYols/bFYwxmYV+O6UNsyKm95RcVX85Y4zoaGWx43AERk\nC2BHzJq3GqparKqXhLdQsDigx1R1AfA4FvuTzJPA0SKSF/rvjM0o8WUaUSZiM6rcLSJtU6w/BJiW\nrDgGOX+qacWxoLCoXkFh0aXxeFyBga44OlXF/AXxSeUojmDZuH2AR4Cp1xSOuvfxU67dfq0IV7Us\nAfolLTsIy05PprWqNk76RF9+X0osx7KHb8UKbv8l1cChwPgnWOzlXqraBCjALKUPJLVNLiruOE4E\nj3ncMGgTvicnFojIDcBZ4WddTGl8AbtR7haW/xv4XET+EVEuwW6os4H9sKDrE7CpzdKiqo+JSD/g\nYRFJLmbbJipjkPNDIPGQrA+Iqv6RyVhVSUFh0ZHYw6mD64xOVfPbH01iWTTfiHh84Bbzvjt+bL/+\nP2CuzJF7FL2wLhQlfx44jtXvFycA/8GU46wQkWGsnviSD7wsIokQmmgW9PnAElVdGd+nqt+LyEDg\nchGpH7EwpisqnkqWaVg4UCqeUNUzM9knx1kXcOVxw2BG+N4Mi0NCVS8hZOOJyJfYdGwDMAvie2EK\nMjBX86msGW/4FPYQGBO+D8KmIcuEM7Cp3ZKL2c4IMq5EVfcKMjbGgurXquZWUFjUCov/TGnNcJyq\nYObMDs2zad9k+ezxdWLFe2Exg7sAt43t1/8+YPgeRS+knZ6uBhkJvCoim6jq7GAN7I15OPpk25mq\nFhKZZUZEEnHIrVR1cXBbJzgIU1KT+/iWSPJNpKj4vtic5neIyB6qOjZ526R+0tWmdJz1BndbbwCo\n6m+YspYuKPp0LJOxe+Tzd+DskD0Z5SngiDBN2Ixs5kZV1VlYpt/N2JRgCV4D2onIPpn2VZ0UFBb1\ni8fj3+CKo1ONzJ1XOrukpPlG2WzTZdYXmyQt2hh7GZwwtl//x8b265/xLClrmZlY7Gb/8PtIrOJD\nqtmCJonIvKRP9zT9pyq4naBFGD8dK4uKq+pyLFSgrORBx9kgccvjhsNg4A0RKQXuU9XpITD9PKwk\nzkbAzkA/VV15gw2JLjdiCtTKuVtV9VcR+RFLnrkjW2FUdZSIPIMptC+EZVNF5EJgpIhcgFkJlgI9\ngasxy2O1JwoUFBY1isfjt+fk5JzmLmqnuvlzUuOFWBxeRsSXL5rYfNn0bcpYnY9ZzQaO7dd/DHDT\nHkUvpCvZsrZ5Cvu/vx9zWV+HTe+YTDtVXZRl39GC28lMY9XsNqshIi3DnNuQXVFxx9kgccvjBoKq\nfoopYR2AcSKyGCvd0xqLcewEvB1VHMN287HYn1Rv3k+G7Z6roFjnAxOSxrsDi7s8DnOxL8IeNj8C\nXSM3+GqhoLBol3is9JucnJzTqnMcx0kwfUb7ptm0bz7zv5mWyOgLvD22X//Pxvbrf0j2klUbLwI9\nRaQHdv/4oAr7LrPgNjaH9BFJZckIFSamiUjHbIuKO86GilseNyBU9WfKLgZbZqa0qh4X+ZkTWX4X\ncFfk93BgeOR3tO2gFP0uxJTZ5OVvAW+VJU91UFBYlBePx68ALs/Jzctbm2M7Gy7zF5bOLS7eNON4\nx1hp8Yptl/7eOsvI317Aq2P79f9y3NYNLj3vpifWqGawNgnT7r2KlcgZqarxSIx1hciw4PZdWPz2\ngyJyBVYeqAdW/miEqv4mIreSWVHxBiLSLqn/mcHN7TjrPa48Ohs8BYVFneOx2FM5ubk717QszobF\nxEkN5wMZK4915v02tX5OaYUKhseh42fbN3phwMizvgeufPaYe9MVpq5OnsSmICxzZhXMGpi87GNV\n7Rv+PjwU2war9/gtVnA7pXIclNY9sILbX2DJgVOBEcBNkaLiqcqTPYuF5yRqOx6ClR6LcgBr+aXX\ncWoKLxLubNAUFBYNjsdjd+Tk5Pr8rrWHDaZI+Nvvd5m1bNlmLTJtL7+9OKtdbH7G7aP80KH+e2N2\n26hPZNGHwEXPHnPvJxXpz3GcDRe3PDobJAWFRS3i8djDOTm5BTk5HvrrrH0WLS5dkI3iWLJkToUV\nxzjMfrdn455Ji/cCPh4w8qzngYufPebeXyvSt+M4Gx7+1HQ2OAoKiw6Mx2Lf5+TkFtS0LM6Gy8TJ\n9VNlBJfJpnO+rXClgS82z5tUnJ9bVgHro4DvB4w867YBI89KVeLGcRxnNVx5dDYoDv37ixfH4/HR\nObm5m9a0LM6GzbRp7epn2jZWWrxim6UTKlSEelk8tuSzXs3KKu2ToC5W0/XnASPPOnvAyLM8acxx\nnDJxt7WzQVBQWFS/tGT5E3l16vVP39pxqpely0oXL17StlWm0Zp15v46tX5OrEKJMp+1zZ0Rq5fX\nPsPmLYC7gTMHjDzrrGePubfcWVXWNqGUzi3YrDR1gN+AO1X1IREZhM0GlZiaMI7Vhn0WGKKqxaGP\nlsA12LzWzbCkmWeA61R1aWgzFLgcS8QBqzJRjBU4P0NVp0WSdQAahbal4fcZqvpkmPrwQqwk0Qrg\nI+ASVf2uqo6J49QEbnl01nv+cv4LbUuKl/3XFUentjBxcv6sbGJtZcF3jSoyztJ46ZKvd9ukbQU2\n3R74cMDIsx4eMPKsCsVZVjVhlqvXsbJibbBs6fOAW0Qk8b/9lao2Dp8m2MQHB2LKIiLSCpuvugEW\n89kYm1Z1J2xa1rqRIV+K9NUIq/e4CXA7QGRdY2A2cHBk2ZNhpqx/YfUhmwCbA18Db4tIhc6n49QW\nXHl01msO/uvIPePx+Hd18utXrpCc41QhU6a2rZu+lVGyeNbMNrGFFVLgPmubNyNWLy+/Itti1rZT\nSue0fLSgsOjkCvZRlbTA6sI+qapLVTWmqu8D/8Dc7mugqpOBVzBlGGAo8K2qnqyqv6lqXFV/BI7A\nSiadXdbgYXaZp4HtMpR3Z+B7Vf00jLMYuBIYFfbFcdZZ3G3trLccdM6Tp9ep2/DunNxcv86dWsPy\nFbFlixdvkXKavFS0mvPd0vSt1mRpvHTxN7u1TC5knRXxWM6EFb922w84pKCwaCBwxqhh/WokK1tV\nZ4jIe8CbIvIE8B42m8yDAMFtvZJgqdwGmz/7nrD4UODSFH0vF5GngcMJlsVkRKQzNs3r2xmK/Apw\nlYiMBoowl/X3qjo4w+0dp9bilkdnvaTvWY/emV+/8X2uODq1jUlT8mZAXkb33lhp8fKuyyZsVpFx\nPmuXNzNWL69S1/+KX7vNIZ5XL/zcD/imoLDowoLCopp6dhyMzRSzD+bCniMiT4tIYm7w7iIyT0Tm\nYfNbv4jFPCYUwlbYHNepmIpN15rgsNDXIhEpBkaH/v6RiaCq+j2wI/ArFvf4LTBFRFIVIXecdQp/\nsDrrFQWFRfnLl8x/uV7DZgfVtCyOk4opU1pnnMmcP+eXafVy4lknyiyJly7+upJWx9LFjT6JzW29\nW9LiBljCyuEFhUWDRg3r90uKTasNVV2GKYK3i0h9YE/gJuBhTLH7r6om17OMMh2LPUzFlqyuWL6s\nqkeJSB5wDnAZ8Eo2UxCq6k+EGWtEpDXQH4vRnKSqL2baj+PUNtzy6Kw3HHj2E81XLF0wvl7Dpq44\nOrWS4pLYigULO2RcckcWfN+kIuN8ukXerHjdilsdS1fEli/7fsdu5TTZA/hfQWHRORUdI1tE5BgR\n+U1EcsAUSVV9C7gK6J5hNy8CJ6Xouz4wAJsycTVUtVRV7yRMqRiytTOR9xURuTbSzzRVvRuzYGYq\nr+PUStzy6KwXHHDGI53z8ut/kF+vYYVcfI6zNpg8NXc61CnL8rUaJYtnztgsvjAjRSXKknjpom93\naVmRDOtVffzaenqdeOMt0jRrCAwvKCz6C/B/o4b1K8sdXFW8BQzHrI7XATOxEjjnYUkomTAUGCci\nj2PJK38AW2PWzLlYmaKyuASb0/ou4JgMxno2yPoVFv+YC+wN9MGst46zzuKWR2edZ9//+/fO+fUb\nj3fF0antTJ7SMuN5uFvP+S5j92iUT7asM7syVsflc+PT8xZ0T6c4RjkYi4XsV9ExM0FVZ2Nu6jZY\n/OBiTKH8HLggwz7mYFnQ87GajQsxa+MXQO/yXNJh3WnA0SJyeAZjPYYpthdjiu4sTHkdqKqfZSKv\n49RWcuLxeE3L4DgVZvdjbti7WevOr+bVqet109YfWo4a1m9mqhW9d+18HLCy7NKwoYdfmZubaant\nmqW0NFby+lu7xaBe2jI9sZIVy/f+/em8ujnxrJTAxfHSRQ8PaNkglp9XoRli4rF4bPFXO83LK221\ncUW2xyx3F4wa1m9FBbd3HGcdwC2PzjpLz8MuPrRZ606uODrrBFOnMz0TxREgf+4v07JVHAE+3bLO\n7IoqjgCLJzT6sxKKI1hiyccFhUUdKtGH4zi1HFcenXWS7gf+9diW7Xd6Oq9OPVccnXWCSZM3LU3f\nyuhagUSZxfHShd/tsnGFM6yLl8Tm58zatVIZ2oEewLiTHht7cBX05ThOLcSVR2edo1vfc49tI3s9\nkJdfr3FNy+I4mRCLxWNz5nXMKPmlZNHM6a3ii7K2/n3cvs6ceCWsjst+6rI4l7pVkkRZd+P6/6vX\nosGrg0ePv37w6PH+nHGc9Qz/p3bWKbr1PffYtlv3dsXRWaeYPjM+PR5rUD+TtpvN/TbreMFF8dKF\nP/SquNVxydTciXVWdGlT0e2j5NTJ/V/zbi32xKY3vAR4ffDo8T4dn+OsR7jy6KwzdOt77tGuODrr\nIhMnb5yRQlhasnzZ1sv/zLpqwMcdKm51LC2OLY9P3LUycY5RZrbYpVXrnNycqAXzAGDc4NHje1TR\nGI7j1DCuPDrrBN0OOOeoNlvv9ZArjs66Rjwej8+e02HTTNrWm/Pz9LpklyizMF664Mdem2RUOzIV\nS35tOS2XjSodOxyPx+INO9UtzqtfJ9W83VsAHwwePf6Iyo7jOE7N40XCnVrPDgecfVTbrns/XCe/\nfoVm23CcmmTm7NiMWGmTVArVGnRd+MNG2fb/Scf8ufE6uVlvB7B8XmxG3vydtqAKih3lNF4+caP2\nW5ZXH7Ih8MLg0eMveeCQnW6q/IgVQ0QOAoZgs7zkYDUeL1PVL8P6lsA1QAHQDJvz+hngOlVdGtoM\nxWa2uU5VL0/q/wJgGHCKqo4QkRHAycBgVX0wqe2d2PSF+6jqeyLyHvC8qg5PajcCmKWqF4rIIOAh\nYC9V/TjSpk/YtkX4vVpfIlIPm5f7BKAtMA94AbhcVRcljfc4Vgi9vapOCcs6Al9HmjUClgCJen8H\nhGVPqGrrSF89sPqWe2IGq5+A4ar6aKTNR9j1sYuqFkeWPwFMUtWLcWoVbnl0ajU77H/2kW277v2Q\nK47OusrEyU2XZtKudNH06S3ji5tn0/fCeOmCH3beuEJWx3gsHlvx6455OTm5lVYdi0sXTm/Zq3Mm\nhcVzgBsHjx7/4ODR4/MrO262iMhgYATwL6A1VnB8DPCOiGwrIq2wouMNgL2AxsChwE7AeyISLbU0\nm9QzzZyAFR8nqe2xSbLkAUcCyyqwK7nAYyKSkcVYROoAbwC7AIepahNMmduGpCkZRaQ58BfgOeDM\nxHJV/U1VG6tqYyARXyuJZar6SYpx9wXewQqydwY2xoqmXykityY13xFTyJ11AFcenVrLDvufdUTb\nbfYeUSe/foWsKo5TG5g1s2NG8YSbzf0u60SZsZ3z51Ent0L38cV/NpxYp3SzTSqybZSS4qWLW+/Z\nsWludmKcCrw6ePT4tfZSKCINMYvgaar6iqoWh/mxhwH3AF0xC9m3qnpyUJbiqvojcATQHDg70uWH\nQBMR2TkyxtZAXcy6FuVlYHcRic5rfgDwX2ymnGz5HzAHuC3D9sdhyttRqvoTgKr+gSm685LkOgn4\nACv4fnqSwpwt/wauUtVbVXV2mCf8bUw5/ZuIbBdp+whwoYjsWonxnLWEK49OraTLLkfv22brvR50\ni6OzLjN7bunMktJmaV9+SkuWL916+cSssp0XUDpfe1Qsw7pkaWxhzozdKp1dHYuVxppuv/HS/Ib1\nM8okT+IA4MPBo8dXSZZ3BuyBhWq9nrxCVS9W1ecxK+PIFOuXA08D0WkJS0Pb4yLLTgSeTDH2HOBN\nYEBS2yey24WVlAADgRNF5JAM2h8EjFbV1aycqjpTVY9U1ei85IOBh4NLfCZwdEUEFBEBupD6eP6I\nWXijx/Nz4Gbg8aDoO7UYVx6dWkfbrXvvumW3gx7Kr9eoqjJAHadGmDipSUZWpfpzfpqeTzyrbOmx\nnfLnV9TquPTnTgtzqVtpt3GdTWKTmrRtUZkyPN2ATwaPHr9NZWXJgBbAXFUtKadNK2BaGeumYq7u\nKE8BA0QkcR6OJbXymGh7LEBwN+8LFGUgd0pUVbFSSA+JSDoLcgtMESwXEdkdi/N8NSy6Fzi3giIm\n4nynl7E+1fG8FlgAJLu0nVqGK49OraJ1p149O+185PAGTVq0r2lZHKeyzJjZvmkm7bou/DGjdgnm\nUzrvp54Vi3VcMi13Up1lUmlrXwkLp7TcqWMmcY7p2AIYO3j0+N2qoK/ymAZsLCJrKM0i0jzEBU4H\nyjquW5KkWKrqZ1jM4l5B8ZqoqhPL2P5lYDsRaQ/0A95IJOBEWE7qRNY6YV0ydwHfYe7h8pjGKmVu\nNUKCUILTMUVzsohMwxKHdg1JL9mSUBrLso6nOp7FmEV1UEhscmoprjw6tYbWnXpts8UOB/6zacsO\nXg/OWeeZt6BkTnFxi7QJMKULp0/bNMtEmbFd8heSl32iS6wktiI2sVezbLdLpqR48YLN9uqSUfmh\nDGkGjBk8evw+VdhnMp8AK4BU0yY+FD4vYjF/qyEi9TGX88vJ6zCL4nFY/ODjZQ0eFMWXMOtjWW0n\nY0pVMh2BSSn6jAODsBCAE8saG3PVHywiDaILRWRTYKKI7CMiTbF93A/LRO8ObAc8i2WEZ0WwjP6A\nZZqvhojsEPpf43iq6vfAZdj5cO9TLcVL9Ti1gtaderVs2aHHJS079Ohb07I4TlUwcVKjhWTw8Gsz\n99vidG2izKdk3s87ta5QrOPiXzedWifeLJVykjGx0pKSTXq0juXVza/qbOnGWBLNkQ8cstMacYmV\nRVWXicglwP0iUoplHzcA/g7sD+wOTAHGhVI1VwJ/AFsDtwNzsSSSZJ7CkmeWYG7k8ngKuBPIB95L\nsX4k8IyIvIJlKTfAlNntSK24oqqTROSvwGNYVncqEgrgcyJyvqr+EpJ7HgA+CrKcA/ysqmOjG4rI\nQ8DLInKhqs5Ks3/JnAmMEpGlWELMIqA3cB9wt6p+XcZ2twOHYYp+WW2cGsQtj06N07pTrwYbtexw\n0ebb7XdUTk5OFVScc5yaZ9r09mkL2pcWL1+y9fJJWbmQP9qqXoWsjsvnx2bmzetRaTdzvbZ50xps\n2qzS1ssyaAAUnT76y37V0bmq3gNcgJWEmQlMAHYF+qjqt6o6B9gZmI+Vl1mIKW1fAL1D4kxynz8C\nfwKfqeqCNCK8BTQFnlPVWIq+3sCUvFuwOoxTsYSV/VV1cjn79ThWs7Gs9aVAX+Bn4C0RWYRZIz8F\n+gUL5mAsKSiVzLPC+qxQ1Q+APliykmLH/Hrgn6p6fjnbJSyq6Y6nU0PkxOPx9K0cp5po3alXXr1G\nzS/o2nvQxfn1GrqLwgFoOWpYv5TB/b137XwcIInfw4YefmVubu174Vi4qHT+B2P3SRvHmD/j6wm9\nF4xvn2m/8yiZO+LY1s1ycrNTHuOxeHzxf3eYnVfStlJzTJfmLZrUtk/XCs+hnRnxeYfnvTW5dc6s\nq3r0vaVMhchxnJrDLY9OjZKbl39Ml10HnO2Ko7M+MXFy/Xnp2sTjcbZZ+GNWFryPtqq3KFvFEWDJ\nn6mW5g8AACAASURBVA3+rKziWFyyaO5me25VzWV14vMPy3t7SuucWdsCz4wbM6R/9Y7nOE5FcOXR\nqTFad+q1T+ddji70zGpnfWPqtM0bpGsTWzRtaov4koyVx7mUzP1lp+ZZW/1KlsYWMX3XzbLdLkpp\nyYoVm+6yeZ3cOnnV98yIxxcemvvuxDY5MxNle+rgCqTj1EpceXRqhNadem27ZbeDLmrassNONS2L\n41QlS5aWLlq6tE3LdO3azvmuNJt+P9q6YlbHpT93mJebU7/Cs4TE43EadWowq36zxtVWsD9WUlyy\n15LXlrTLnb5d0ipXIB2nFuLKo7PWad2pV8uWHXtevGn7nTyz2lnvmDi57uycnPJvraXFy5bIiswT\nZeZSMufX7tlbHZdOz5lcZ1klYxQbLP2zWec21eaujpWUlOy2ZMyCbZvOT1mHEFMgnxo3Zsj+1SWD\n4zjZ4cqjs1Zp3alXg0bN2xRuvu2+nlntrJdMnda2Xro2DebojDo5md9/P+xaf0m2VsdYSay4dOIu\nlZoXvrhk4cxWu3WpUDHyTIiVlpTusmjMgh03XpAu5rku8OK4MUN6VZcsjuNkjiuPzlqjdadeeeTk\nntaxR79jcvPyKzIXruPUapYvL126aNEWZVnQgJWJMhkXBZ9DyezfujXL2nq4+NdNJufFmlXY1VxS\nsmxp6z07NMqtgKs8E2KlpaU9F7w5r0eL+ZkmyzUGRo8bM6RrdcjjOE7muPLorE2Obt/94H71G29c\nqSLFjlNbmTglf2ZOTvnKVmzh1KmbsDTj6Qg/7Fp/aU6WU1ivWBCbnTdv5wr/n8VjsdhGXZsuzG/U\noGFF+yi//9LSHRe8Na/XpvPSzcmczCbAmHFjhlSbNdRxnPS48uisFVp36rV301ad92ux+Q59aloW\nx6kupkzdLO2sXe3mfptxosxsSmb/nqXVMR6Px5f/skMsnRJbHrnNiidttEXLtEk/FSEei8W2n/f2\nvN02nZOt4pigHfDauDFDqqtQueM4afDpCZ1qp3WnXq1z69Q9sP2OhxyWk5ubV9PyOE51sKI4tnzB\ngi1blRfJW1q8dPFWK6a0IUO17sNtG2RtdVwysf6fdUraVdjqWBJfOLXdzttUeiaaVMRjsfg2c9+e\ns2er2ZWqOQlsi8VAHtij7y0rqkK2dIjIVtjML72xZ+dvwJ2q+pCIDALOVdWeSdscCgxX1faRZUcB\nhcD2wHJs9prrVPXDSJs4sBSIAfHw+QQoVNVvRaQP8C6wOGwSD329ApynqgtCm+dVtUXocwLwg6qu\nNre3iLwX2g0Pv/OAvwEDgQ5AHjZF4K2q+mL2R85ZH3HLo1OttO7UKw84oVPPw/euW79JtVgyHKc2\nMHlq7oycnDrlvhw1nKMzM02UmZ1TMnvC9k2zsjqWLIstZtpurbPZZrXti5csar1np4paBMslHovF\nZc67s/duNauyimOCPsCj48YMqfbEOxHJxabz+xJog00xeB5wi4hkXEZIRC4G7gBuBVpiVtTnsPmf\nk/vppaqNVbUJ5q7/BngtKHcAs8P6RJsumLJ3XzkiHCQiZ6YR83lMcTwHaA60Bm4AHhCRapk20ln3\ncMujU90c2mLLbt2atuq8W00L4jjVyeQprcpVYuLxeHybRZrxTEofbNtgWbZWx6W/bDm3DvUrVJon\nFispbd695fI69eulnZM7W+LxeLzznPdn79t6RlUpjgmOBf4ALq7ifpNpgSlmT6rq0rDsfRH5B5YJ\nnhYRaQdcA+yhql9EVj0kIjHgXhF5WVWLk7dV1WIReQSzWKZMtlLVuSLyLHBWOWI8ANwqIm+p6i8p\nZDwM2BvYWlVnhMWLgVeCdTU/7Y46GwSuPDrVRutOvTrn12+85+bb7neYl+Vx1mdKSmLFC+Z3KDfL\nOrZwytSN40szqpc4K6dk1p87tGybjQxLZzKlzpJtK1zTsW6rnCmNWjev8kSUeDxOx1nvzzpgs2mb\nVnXfgYvGjRnyTY++tzxZTf2jqjOCe/dNEXkCeA/4XFUfBPh/9s47vo3zvv9vTIIE9wQ3JUp6tCVr\nUpKHbMczjuVVj3g7o06TNG2VX5OOOKmb0TZxmmY5q4mTuG2c2PFQhh0vWVuyJFuy1qMtbhIkwAkC\nuPX740CKA5ziUMx7v158ibh77rnnIOLwue+MCaulQoj+bSmdQFPs9+uAqn7CsZv/BX4ArIvN3Qch\nRAampfOQlLJJCNF/vw1T3N6P6c4ejJdia/qFEOIyKWX/+NtbgE29hGMPUsrfDTGvxTTDEo8WE4Kv\nfJUbuLN85W3XON2JI84stbD4c6SuwdZo4B5S7BUHD+sjnW/rwsTIaM6vq7qqna1IHmtAsWZvr/Et\nnj8hGcwlTVv91+XXTZRw7OYn+/70/44tv/br+ybwHDcAjwK3EbN0CiF+C3wqtv/dwWIeYy/zgPp4\nE0spI0KIIKaLuJsdMYskmPGMu4Heru3MXmLVBrQAfwD+YZjr+AymC/xzwFf77SsA9vdafxqmZRfM\nMLc6KaXAYtpjiUeLieLO/DnrlqZkFS+Z6oVYWEw01TU5QwpDTenqmD3CRBm/TfVXLhqd1bHzdEa1\n08gsG80x3ShKZ0vB1XPGHCc5FAWNW/0fLKiZaOEI4MFMoFm5/NqvN0zECaSUYeBbwLeEEB7gUuDf\ngZ8CI0kkaQDiCvTYfLn0FZdrpZSHhpgv0J0MMxqklO1CiAeBV4QQf+i3uxHI7zW2FUiPrbG3ELaY\n5lgJMxbjjq981VJPSvbK/DnrbprqtVhYTDSaZmjBlhlDJoMlNR9rGmmizJZFSaPKHo626wFHcOWY\nsqN1TVFyVhXYHa6hE33Ggq9xh//mgurJEI7dFKuq/cePb9w07nF5Qoi7hBCnY+5hpJRhKeVrwBeB\npSOc5vdAnhDiyjj7HgCagR3jsuBhkFK+BXwPeBro3RHpJeBmIcSEJE1ZvH+wLI8W44qvfJUX2DBr\n5W03OpyuxKlej8X05B///S0SPebtLScriUfvu6Rn37736nn+5ePY7TbWV5Rw1bpSwhGVb/xwD1FF\n46N3L6akMI1jp5o5fjrAzdfMHvJc9X6jwTASB41lNAzDWDDCRJlGm9pYvXDkVkfDMIicWKg6bc5R\nGwIMwyCx1N3oyUwdlZVzJOQ07PTfUnhuMoUj0ajzwJbtyyuAJzDjA8eT1zCtbt8SQnwF8APlsfNs\nGskEUsp6IcQ/AP8rhPgkZva2E7gTswTQx6SUk1J2KMY/AdcDFUB3vOhzwD3Aa0KIvwG2YZbquR7T\nyhrX7W4x/bAsjxbjhq98lQ24r3jhB5YnpubMmur1WExPooqGgcEXPrOOL3xmXR/hqGo6T//2EJ//\nZAWPfWYdb+w4R2tbmINHG1m+KI9H7lzMmzsrMQyDlzef5vr1M4c9X01NljrUfqOtpjaD8Ih6TG9Z\nkjTkXP0JVSecc6olYyqBZSSEqjJE0bgLx8zGPf7bC89OqnBsDqS99drmivmRaEIO8OnHN266ezzn\nl1I2Y7qpC4BDmBnIrwF7gL8bxTzfBP4qdkwdZjzhHcDNUspfj+eaR7CWMGaCjdJrmwH8BWbyzr9j\nJvsEgMcwM7XjWU0tpiGW5dFiPLnU5UmZnVN2ydVTvRCL6UtlTRvRqMbXvrcTTTO460NzmT3DNPzV\n1reTl+MlOcmsriJmZnL0VIAkj5OoohNVNBLcTrbvrWHlknzcrqG9ubpuGE2BmUPGnRW3HB7Ruhvs\namPN/NwRZWMDaBE9RF3FkBneg6Go7c2FV4oxZ2YPRnrDXv+dhacmTThqmq4eOlZwuLp6zhX9dv3k\n8Y2b3nvsiQ+N7M0fAVJKiSms4vFU7Kf/Mb/DLNzde9vzDBMjKaUcMjpWSrkZs3zQiMf0LlTea9t+\n+pUaklLqmLUih6oXaTHNsSyPFuOCr3xVFnBN2dIb1jqc7gnph2thMRLcbgcfvGoWn/+rCj5y92K+\n94v9aJqZzxIKqyR5zofEeTxOuroUFoocWtsjvL79LFevK2XvwTpKC1P5ya8OsOm1E4Oey9+sNxi6\nd9C/dy0a6pgdrRuRIBy11fFEcbOdJM9ojgHQ1Eg4b22px253jGv5rJSG/f67C09MmnAMdaltb26d\n1VFdPSdeUp4XeO7xjZtSJms9FhbTCUs8WlwwMXf1/SnZpelpeeWrp3o9FtOb/Bwvl64swmazkZ+b\nTHKSm5Y2s/JNksdJV+S8RguHVZISXdjtNh64fSGfuH8ZO/bVcP0VM3n+5RPcedNcmgJd1DV2xD1X\nVU3GkCV1kgPHmhy24XOs6+1qY+289BFbHcNN1DlDi0ZdWscwdCN5TnKLO8XrHe2xQ+FteNd/b6Gc\nNOHY6FfqN29bmRCJFA3V31oAT07WmiwsphOWeLQYD9YBuSWLrrnONtqWGBYW48zmXZU8/bzprQy2\nhukKq6SnmgmlBb4U6v2ddHRGUVWdo6eamT3jfMOO1vYIdQ0dzJ2VRVTRsNtttLVH+O5TA8sHGoZB\nXX1R1ivbv0trh1lTWVEjvLbzSV7Z9h0CrTXGgg6ZfTzUyR+a/UOuectSb/9izYOia4aqnlkxJuu+\nLSVSlTbDN65leRIbDjTdX3h00oTjsRO2qj371ucZekrC8KO59/GNm+6Z8EVZWEwzrC96iwsiVgz8\nytwZK4qS0vLmTPV6LCyuXFNKqEvhS/+5jW//dC9/ee9Sdr1Ty+vbz+J02Lnv1gX82/d38dg3t7K+\nooTM9PNFAV545Ti3XG9mV3/gsjI+/7XNHDzmx24faDzcd7A5+Mq2p5M7Qs092+r8xynKW8DKRbdx\n4sSrnalGOPm1YDPXZAxe+aTOrjbUzU3LH3RAP0Kn06odRvaoC+8rentD7spZYyrpMxiehkP+BwuP\njHfLwbioqq7s2JNRf+r0ZcU226hc7k8+vnFT6YQtzMJiGmIlzFhcKDfZbPaEArHu+qleiIUFgNNp\n51MPLe+zbc7M85Vyli/ysXxRfOPbg3cs6vl9ybxcHrh9IcUFqTz5y3cGjK2p80QuX/EQO975355t\nLqcbVVfQNIUMpc3Y1aazLDkV1xAG+S2XeEfceSbaoQftgVXFIyk23htV6er0XV6eZh9Hx4C78UjT\nA/kHcxjtYsZAZ0ht3b5b2JRo4VispmnALx/fuGn9Y098aMTvtYWFxeBYlkeLMeMrX5UJLCtZdO0l\nLk/ypJbmsLCYDFYtLcDpiH+b9LgqEr2J6ShqpEdA+rJnE450IE9vUeY4osn/01DL75v9fOXsKf7Y\n7Cesa/xH5Rm+cvYUVeEwdQ614aTHyG/cei7uOXpj1nScH7XZRlfQW9c1PX1RVpcrKWHUyTWD4Wo8\n1vSQ793seBbZ8aa+Qa17a9vqRCVaOKJyR4NwGWY7PgsLi3HAEo8WF8Lt7sQ0Z1bJYqv2l8W0Itiq\nNatqZtrhk2/S1tmIrpshizabnRULNnB14byaF5r8to8XFFOYkECbplIfjbC9JcjS5BTu8xWwtTXI\nW0uTjKZdVWRXDF81J1TjrnQqZaMuzePM1quTC7PGzbXs8B9vfti3P2uihaNhGBw+5qja+84VPsPw\nuoc/Yli+9PjGTYvHYR4Li2mP5ba2GBO+8lUCmFG29Ib1VieZgRi6Rv2B36B2BdA1jazZV+FMzMB/\n+AXAjs3hxLf0LpwJ5yuJGIZOw8FniXb4ARt5i24jIdVHZ6OkSf4JV2I6+cvvxWaz0/DeC2SWX44r\naUSNSyzGmapqbzuQleLNIj3Zh6afz+A2DF0vaz2Sszg5hcXJKbwWbMYwwI4Nm82GousoukGX3eis\nCod9afNysA9TT1KL6F1G7ZpRW/dV2muLLpk/bnGOdv/J5odz92Xa7bYJVY6KqkV2781rbW2dXzyO\nZ3IDv3h846aVjz3xIWXY0RYWFoNiWR4tRo2vfJUduCk1Z0Zqau6MlVO9nouRtpr9ONxJFK/9K4pW\nf4TGQy/iP/wiOQtuoXjtoyT7FhI4ubnPMZ0NRwAoWfdJssV1NMmXAWg5t4Oiio/i9KQSaasj0laH\nw5VgCccpYPveal7ffpaGxrJUgJL8xdBP3Rit1XVvNdd4b87OYV97K6e7QoQNnQ5N4/K0DFpVlc0t\nAWyXFYRaj/pJ9CVT9dIxhnJdh04WNjlIGtVDmqp0tuVfNnvcwklsTacDj+S+neF0TGyQY3uHEnxz\nyzyltXX+mDrnDMMSzG4pFhYWF4AlHi3GwqVAplWaZ3BS8heTLa6NvTKw2e3kL7sXT1qslJ+hY3f0\nNfwn+xaSt+h2AJSuII6YQdfuSMDQFAxdwe5wEzj5Jhnl6yfpSixyspJ4fONlAKxbUcTKxcUt0Whu\nj3K/dNl9OBznC4+XtRy23ZtXQJ47geUpafxNUSl2YHFyCk67nQ/n5XNDcV79yY5QTnZFMWf+5z1s\nDhvR1jCh2jZO/Ww/J360l656s7Zk4N1Ac9uBwKhqOuqaomatyNccbpdr+NEjoOls4JGcXelOx8R+\nZ9TUqbVbt69NURRf8gSe5vOPb9y0YgLnt7B432N98VuMCl/5qgRgfV75qlKrf/Xg2J0J2J0edDVM\n7b5fkiWuw+kx4/27AmdpObuD9BmXDTjOZndQ/+4z+A+/SEqh2ZM5c/bV+I9swpmYSbSzicTMMtpr\n36Xh4HN0BYdPtLAYX6pqElsG26dGOtvKlfr8Lk3j386d5ndNjfy8oRYD6B0i+Kf5HkekKUTE34nW\npZjWS5uNjjNBUkUOhR8SBPbXoqm6FtjRkZo+49JRrTGhyFmfmJ2WMfzI4TGaK4OPZO9MczlsE/Z9\nYRiGcfCwq+qdA+sLDBInOpzKCfz08Y2brLAtC4sxYn14LEbLTYDTN7vimqleyMWO0tVC7d6fk166\nltSYEGyvfZfmE29QsPJhnAnxjSu+pXehhm+kcvt3KLvisySk5JG/7F4MQ6du39PkLb6D+gO/oWD5\nfdS8/RRFqz8ymZc17alvKBm0O0vd8d9FtkSCqevTM6lIS+fl5iYS7XZswJpUsxlKtUOtO1rZkp8y\nO4v2kwEyluXTcrABb0kaqXMy6arrwFB07C4HDa+2BFLyV+bYHSM3IGrOjirf/Hmj7j4TDyNQFXwk\na3uK28moMrxHg6JokZ1vF7S1t4vxjG8cjkXA3wDfmKgTCCEMoAvQASP2sxPYKKU8JIRYDzwrpczu\nd9xC4L3e/a2FEFcB/wSsBDTgPeAJKeWLsf0/AO6LDXdj1k/q7n60VUp5w0jm6XW+Ekz3/rVAJtAB\nvAb8s5TybGzMU8CHgWjsMBsQAl4GHpVSdvaaLxWoia3lxn7n2gysAZTYewRwAviylPK3vd7LRVLK\nQ/2ObQLuAIqAHwFLpZTHe+3PBQ4DX5BS/gCLccOyPFqMGF/5qmxgmW/W6nK3J2Ui4pHeN6iRdmp2\n/4SceTeSVmKGhbZV76fl7A6K1zyK2zuwaHRb9T4CJ98AwOZwAbY+8XSt53aTWtztbTPAZsPQogPm\nsZg4OkNaezhc0CeOMDkpk+sv/WsMQ9dvS9SS1qebHu316Zn8W/kcPllYQrbLTXeOyZYVKfbcy0sJ\n7K+j6INzSMxLJmOpj7K7F5FSnoXaEaV5bw2p831tXWeU7ITUfBoOPjcgRjYeitoRyF83p3A8rlUP\n1rQ8nLk9JcE5cUaG1nal+fUtC9X2djEVpb6+9PjGTeMisodglZQyWUqZAmRhirU/CiFGLMaFEB8G\nngX+D1Mk5QL/CfxICPE3AFLKR2PnSQa+DfxP9+tewnHYeWLjZgDvYArfVbE5lwG1wBYhRO+n3m/3\nOo8XUwSuAr7Q7zLuBf4IrBVClMe5zI3d71Psvfoy8CshxIKRvEdSyqeB3wNPCSF665ofAtss4Tj+\nWJZHi9FwG6DklC1bN9ULudgJnHgDTQnRfPx1mo+/DuhE2htwJaZTu/cXACRmzSRbXEvdO78ie+51\nJPsWUX/g11TteBJD18hdcDPdFidNCRNqPkXBctO44ExIoWr790kvWzNVlzgtqapJCAApcXe2VtWm\nEh2y5k6VU63zl6fkt+yqQgspnH76AGpHFF3R8OR4ybwkn8IbzUZNlf/XZkufcbktcOJ1chfeQpN8\nlWiHH/cgJVU1NRrNqSh22QcrTDkK9Ja6locztno9TmPCviMqa7Sa9w6t84Fnwqyaw+AFvgPcMhkn\nk1IqQoifARuBEYUUCCESMdf4cSnls712PS+EaAFeFkL8r5SycRzneQJ4WUr56V5rrwX+XgjRAWRj\nWiLjXeNJIcRLwMJ+uz4GPA60AJ8E/m6o9UopfyuEaAXmYVoOR8KjwKHY3N8QQtyLKWSt8kwTgCUe\nLUZErDRPWVbRwlxPcqbV6msYchduIHfhhhGNzb/k7p7fu8VhfxwuT599eYtvv7AFWoyJuvqiQQtt\nl7UcGlYEbVmZ4gDIqSgmp8I0etW9forgO/VkXnK+Q2HbCa06VFtf1Fn1W9OKvecpXN5MtGgHVTt/\ni6Ep5C2+nYTUfLoCZwgFzlL4gWuaPWnJI25zOBhaS33rQ2lvJSU6jfFJtumHrhvGgcOemtra1cMX\nt5x4Nnz9009f//++c9/LE30iIUQG8NfAISllkxACIDMm3nrTW/yvxRS5L/Ybg5TyTSFEHXAj8NQw\npx/RPEKIpzFDk66LN4mU8vGhTiKEWAbcCXyr17aVQAGmZbAKeE0I8YXebu1+c3gwXfBeYHevXTuE\nEP07BPUUjpdSNgshPgo8I4R4E/gm8GEpZTMW444lHi1GytVA1DdrtWV1tJiWdIW1UGdnUW68uDw1\n0tE6U2nM71+2pzeVTrX2RHtngb63jawVpme5ces5Avvr+ozTonq4eUunz+lJJWv2B9CinTTJP2Fo\nKkq4neS8+SRmzaS1cg85C24meGYbeRU3V6aX519wPUettbH1wbS3Er0uYzyKcg8gEtW6du4pCnV2\nzp564WjoDbOa958qbTn0ve0bnl+w7sXnwhNwlt6CJ4Iphno/+QUGi3mMvcwDmqWUg9WlrAdG0rJx\npPNkAy7M+MTu9XwC+FrspQv4mpTyy7HXn4oJNheQgGn5+yamlbObjwFPxc69TwhxAlMc/rDXmP8Q\nQnTPaQBHgNullFW9xqwdJOaxBynl74UQ/wtsw3Spvz7I9VpcIJZ4tBgWX/mqYqAkNafMm5iWJ6Z6\nPRYWU0F1ravJZrPHFWhpgSNBu82WFm9fttvNP5eV88tVSa6Msr5JUu7MRGY9sozK5470bAudzG/0\nLbqk5OzmbxA4+SZqpJ2U/AVkzrqKTv9x1FAThqZgd7ppr3kHT/aMtvxL519w7J7W1tR2f8qbnmSX\nPiHCsaVVadr19tIkTcsaGPA7iRiGoWZ21W1fXP/mJU5dWRvb/FnMOLvxZoDgGSUNQJ4Qwi2ljBfg\nXIop/MZrngBmIk0+cBxASvkk8CSAEOJZ+uqG70opPyuESMB0S98BvCCl1GPjk4F7AFUI8VDsmBTg\nU/QVj38vpfzuCK5jJPw7pmD96jjNZxEHK2HGYiRcA4QLxGXrbLZJzIe0sLiIqK0riPuwbei6vqDz\nxJAJZOdcak2gbGCwYvqCXGy9aviEA0aDo31JCUBKwRLyFt9G8ZqP0xU4S0fDEZKyZ6FGOmit3E1a\nyWraag9ohetXuk8++1Nb1esvjfnatPbmtvu8b7hT3XrCmCcZgrOVWvX2XZdlalpW0kTMP1KUzqaG\nBWdeaF1W+6crnLrSu1f2P2zfcPvUW0MHsg0IYiac9EEIcR1mEs4fx2uemLB8GXhkNIuUUkaklJ8D\nDgCbYq5nMLOxJWbs4tLYzyKgPJZtPhFo/f61mAAsy6PFkPjKV2UCsxJTc9zJmUVW4LHFtCQa1cPt\nHSW+uE9OrZW1KShDCo+tq1KHteYZmqGpp5e7HTY7hmGQPuPSnkLx3ty5RFprSc6bT+6CmwFoPv66\nUXDF1e212/6QPuu2hzj3ynOEGutIyh1d2KPaHmy/N+l1V1qCNmg851jRdUPff9Bb19CwYkqFmapE\nOvMadgeWhk8PZqFNwizbc/cg+6cEKWVECPFXmBnRduA3gArcAHwf+EcpZcM4z/MZYJcQ4tuYZXzO\nCSF8wEcx4yFfG+JUHweOAv8CfC72+n+klH2so0KIF4BPA5tH8DZYXIRYlkeL4bgeUArnra+w2e1T\nlRVpYTGlVNc5/Dacce+XM1oOD/m5OOtSa5pLB0mR7kXnueRqh56bAaCrYc699U10NYJhGISaTpGQ\ndr4CjxrpIBqpDRWsXZeuK1GINXrSo6ML21M7Wjo+nPiqIyNBG/f+9OGIGnpre3FLQ8OKcSkdNBYM\nwzBsTfLc5ed+4xxCOHZz1/YNtw+s3D/FSCl/g5kRfidwDqjDFHiPSilHXKdypPNIKU9hWgcB3hRC\ntGPGYK4APjhU2RspZRNm/cyNsUSZS4Bn4gz9ObBBCDHRpZIsJgibYRjDj7KYlvjKVyUB/+jyJDsW\nX/PJv7U7nBPi0rKw6Efupic2+OPtuLxi1j1AT9ztE1+65TG7feJDKbbu9NW0tQ2sn6iG21uuqXo2\nfagl/HJdUlOgNDl7sP3RYBdn/u+QVrz8c0Z77WGnrkZIL62grXofwTPbsdmdJGXP6tXuEuoO/qpz\n7n33exNzfASOHeDcH39DQnoW8x78DCPtGKp2tnXc7X7Fnp2ojrsrORBUGnfvW5aqaxnjbs0cKUpn\nc8Pihi2uAr11NE3gd6578bm1ww+zsJjeWG5ri6G4FtCL5l+52hKOFtMVVdWVtrYZefH2pQWOtNht\ntvTBjj3jVmsCpclDWt7cGYkUrLun0RZx53d3IgJILVpOatFyuoKVNB39w/n1KKH2RZ/4TELze7s5\n8rNv4vAk4VtzNfkVV6JFwhz6ydfRFYXZd36E5IJSWk8fo+3McYqvvvn8HKG2zjtdr9gmQjieOmtU\nHT12eaHN5poSz5aqRkK59XuaLwmfGotVa832DbffvO7F58YeQGphMQ2w3NYWcfGVr3IDS+wOPi6a\nFwAAIABJREFUly0jX6ye6vVYWEwVNXW2BnANeNA2dE1bEDo5aKKMYRhsXZ027ENXqM5R5YzMihuo\nGDi5mYaDz2LoKgC6rmoZy3IVQw27z/7x1yz+5GMs+dRjNO7bRjjgJygPkrVwObPveJj6XZsxDIOa\nLS9TePn1PXOqXR2hOxyvGrlJ6qBtFseCruvanv3JtcfkFcVTIRy7XdSXnf2NY4zCsZuvbN9wu/Xd\naGExBNYHxGIwrgBchfOuWOxwJcTvqGFhMQ2oqYtrdMRmJsoMark7k6BVB4u9g7qrATRFjxjVqwct\nXePyZlGw/P6e126frdabm5HZ1dxIcmEpLm8yNrudlJJy2s6ewO72oCtRNEXBkZBA4/7tZC9aid1l\n5utoXZ2hW+2vaD5vNH5j9THSFVY73tw6o83vX1YwnvOOlGhnc8P8My8ErmrZWZqEeqFekoXEyUq2\nsLA4jyUeLQbgK19lxwyOVrOKF1rxPxbTFk0ztJZgWVzr4ozWw4N2YDEMgy0VacMmoYRO+urtRuqg\nAjQlfxG2WJ6aZu+ozl5UVgyQmOOjs76aaHsLWjRCy/FDaNEIGXMWorS3UrfjNfLXXE3zwbfxFpRw\n/Nc/4dzLzyo3217RC73RcX0YbGpWGjZvXeEMh0tH1HJvPFHVSCizemvldbUv5RXoreNZP/Jftm+4\nfUI67FhYvB+wYh4t4rEaSMkqXpTnShjacmJh8X6mrsGoN/DESZRpC85Umwbt7HHao1W3FnmHLE8T\nCeqNjralpYwg3UfXVc136ewe17YrKZnyDfdz5GffwuVNJrloBi5vCja7nfJbHwSg8rUXKLz8Bipf\nfZ4ZN90dtr3yXw5nqCyZ5PEzOh4/RdXxE5cX2WyuSa3/ahiGYQ+cqLwsuMeXhFoyVGefMTIDeBD4\nyXhPbGHxfsCyPFr0wVe+yobZBzWaXbLYqutoMa2prs2OW2g4I3CkdbBjDMNgW0XakIkohm7o0dPL\nnDbb8LdgTVMUV7Ibh8vZUxLI0DQ6qs+w5NNfZN6DnyHUWEvajDk9x0TbW+lqrCOtfC5qV0j/gP5G\nNM1juCKR8ambrGm6umtvat2Jk5cXT7ZwjHY2N8w7+2LgquCO8XBRD8U/WdZHC4v4WJZHi/4sBLLs\nDpfmzShcMNWLsbCYKnTd0AOBmQPqM+pmokz8QEjglEerbikc2urYec5b6dR8ZcOtwTAMPIWuZvtZ\npw+gcd92tEiY/LVXA7D/iX/A7nRTtP6DuJLPN0ypfPV5Sq65FS0ajnxwVar6q1++lZqdmUhJYWr8\nE42CUJfatmP3bCMSKR5dNfILRFUjoZz6t5uXdp0onoTqTABlwEPAjyfjZBYWf05Y4tGiP2uAaF75\nyrkOp2vcCwdbWPy50NikNxpG0gDXtL3lbK0XNW42r24YxraK9CGtjkpIa7P5K0ZUONvwhKryVy4p\n9q1cAkDu8nU9+0qvv4PS6++Ie9ys2x5Ci0ai1ygvd81ZmZF+48rLR3K6YWn0K/V7312VYegpk1a6\nq5eLOi8JtXgCXNRD8U/bN9z+1LoXn1Mm86QWFhc7lni06CFWFLwUUDIK5loua4tpTVV1ZiTe9vLW\nI4O2GjyVqFW3FiYNWSYmfGJ2hxP3sCZARW1vKrxSjKmtn6ZEo1dFXwnNSQ8NWoNytBw9bqs6dXp9\nkc3mmDT1poQCjQsbttiLtJbSyTpnP0qBB4D/nqLzW1hclFji0aI3awHdnZjqSUrNmzPsaAuL9ymG\nYRhNzTMHJIup4dZgmdYc12WtG4axbU36kNkooXp7tTMyZ1hBqKmRcN7asiS7fXihpmsqx//vh4QD\nfgxNpejKm9Rby/2d8zI6MwD2vVfP8y8fx263sb6ihKvWlRKOqHzjh3uIKhofvXsxJYVpHDvVzPHT\nAW6+Znbfa1Z1Zc/+rOZgcFHxZBn9VDUaym54u+mS0PGSSXJRD8Xfbd9w+0/Xvfic1Y7NwiKGlTBj\n0Zv5gJY3a/V8q4+1xXSmKaD7dT1lQBHtzOYjbYMdczJRq27LTxq0XI2u6FGjqmLYcjaGoRspc1Na\n3SlJI+r+0rh3Gy5vMkv/+kvM/8hGtfr5H9kXZnRkAKiaztO/PcTnP1nBY59Zxxs7ztHaFubg0UaW\nL8rjkTsX8+bOSgzD4OXNp7l+/cw+c3eG1NY3ts7uCgYXDZpZPp4YhmHQfOLcpWd/bV/edeJiEI5g\n3hevH3aUhcU0wrI8WgDgK1+VBRQA4fS8WZbL2mJaU1mdFuq/Tdc1dUHoZF680jojsTp2nsqtcxqp\nw7pfbSnRqtTS0pKRrjVnaQXZS1aja6q6ouON9tMuW49Ara1vJy/HS3KS6WkXMzM5eipAksdJVNGJ\nKhoJbifb99awckk+btf5Z8a6BrX2nQOrcwzDOykZx9FQoHFhw1Z7sRacKhf1UGwE/jjVi7CwuFiw\nLI8W3VwORLwZBWkJ3oyL8eZtYTFp+JtmZPbfZm85U5tk0zzxxp9I0qrbh7A6Rlp0v6N12bCCUNHb\nGnyrZ49YOAI4EjzYXS5tSdPv2t584c2MO2+a27MvFFZJ8pzXfh6Pk64uhYUih9b2CK9vP8vV60rZ\ne7CO0sJUfvKrA7z06gkOH3NU7XvnioLJEI6qGu1Kr9lReV3Ni7nFWvBirSt79fYNty+Z6kVYWFws\nWJZHi+7ajrMBI2/mysW2i8NVZGExJQSCWpOmZgwQMbNaDsfNMNYNw9i+dnCro6EbhnJqqc1hsw/5\nwVKVrk7fFbNGneCia5o2u/L5tj88/3rmNZfNYN2K8yGVSR4nXRG153U4rJKU6MJut/HA7QsBePFP\nJ7j+ipk8//IJ7r11XuR7T1XpnW1zilOTJzZyxTAMwxY4WXlpcHeed2IKfY8bmp1ze+cn3b0ODozn\nvEKIPwKXxV56AB2Ixl5vA64DOmOvDUyDz2ngH6WUm/rN9a/APwOrpZR7YttSgFrgPinli/3GzwGO\nADOBrwJ39jp3b7IADVCAeVLKY2O8VgEcBb4rpfzrfvuqgXeklB/qt30b8LSU8gdCiC8DnwO6E9kM\n4DDwlf7vxRBrqAY+KqV8eZD9PuBfgA8BqZjv3f8BX5NShnuNSwceA24FsoEG4OfAV6WUWr85d2K+\nxyVSykiv7V8GZkkp7x7J2i82LMujBZj1zDIBUnNmWC5ri2lNVU1yR/9taldLoFQPxk2UOe7Vqtrz\nBrc6dlYmVTq0giEtarqu6emLs7pciQmjKoFj6Lo+u+al1lee+VPGPRvms35NX6NlgS+Fen8nHZ1R\nVFXn6KlmZs84v9TW9gh1DR3MnZVFe2dU2b5LKJqWnahq8TTE+BENBRvF2Zearw5uL/WixrXmXgyE\nEmzvvLo6Zc9378op3rU4+W/vfOYTA+p+XghSyhuklMlSymTgBUzx0f360dgwX2xbCpAOPA08I4To\nsY4LIRzAw5hZ4Z/qNX878CvMjPH+PAK8LKWsjL3+Zve5+/3ErTowBj4O/Ax4QAgR72HrJiHER4eZ\n47le708W8J/Ar4QQFxyTKoTIB/YALszk0RRgA1ABvCGEcMXGpQK7McXlpbH/lw3AHcAP+s25CMjB\nFOl3XegaLyYsy6MFmB+UcEbB3HyXx2pHaDG9afTPSOu/LTNwpJ3YA1ZvdMMwtq/JGLTsjtqlt9sa\nKwqGO6crW69JLsgassRPfwxd1xe2vBY4vf/t7M6QwvMvH+f5l48DcOXaUiJRlavXlXHfrQv4t+/v\nQjcM1leUkJl+vnzrC68c55brZ1NTp9bmpt2Q96dtLyUnJaaTkTox9b9VNdqV1bDXvywkL5ZkmAFo\nhqGeSlRrd69MTwoUey/ptSsB+BimlW5KkFIqQojvAv+Gac0KxHbdBDRhWs2OCSE2Sin9sX0/ArYJ\nITKllAHoEZsPYAq6CUcIkRA735WYrR8fAL7fb9iPgf8UQrwhpTw93JxSyiimiF6Ied1xrYmj4HFg\nv5TykV7bjgohNmBaOP8S+C5m/GtQStkjdKWUh4UQDwCfF0Ik9BLcH8d8KDiIKep/cYFrvGiwxOM0\nx1e+yoF5EyK7dKlldbSY1rS2acFoNLuPFVHXVXVB1+m4VsdjXq2qIy9x0BjFrhMz25wkpAx1TtXW\nXuO7ZP5ohaMxL/hG4LK85uzL7ljEg3csGnTs8kU+lg+SLP3A7QuN9464qyurVhfn59rJz52YW4Dp\noj5VuS64OzcZ5aJ0UXfpWsfBHFvTO2sycyOp7sH+Tx+985lP/Puv73pyfPo8jhIhRBLwRaAO0wXc\nzceBn0opq4QQb8RefwVASvm2EOIIcA/wvdj4GzHd0H+YpKXfBpyRUh4SQvwwdg39xeNvMV33PxdC\nXCGl1Ec498vAPwohPL1dy2PgJuDv+m+UUoaFEL8CbsEUj9cDz8UZdwDzPQZACJEI3AesA84A3xJC\nrJZS7r6ANV40WG5ri8VAEjabLSWzaOFUL8bCYiqpqkkaUIrHETxTmxTHtaobhr5jXcYAK2U3XQ22\namd47pCdZFSlszX/0jmDtjqMh2EYxpzAm83r8/wX5CWIKlp4605fU1X1muKR9Nge83lCQb/pot5W\nmoxy0XWtChiK/5VyR9WP785L2nWdryyS6h6qRFIxpotyMqkWQrQKIcKYsXVFwJVSyk4AIUQxcAXw\ny9j4J4FHhRC9jUM/pK/r+hHgx/0E2t8IIVr6/fzPOF3DxzAtoGCKxEwhxNVxxn0aszD7Z0cxdwBT\nywz6WRwhuUD9IPvqgO4nsGzAP8i43vwFcFhKeURK2QU8Ra+Qgj93LMujxTIgkpEv8h2uhCFLjVhY\nvN+pbygdUNtxVtvhuDF5x5K16s6c+FZHXdUVrXJt2lApJ7qmqFkr8g2H2zni+7BhGEZ50+bmq/Mb\nL0g4trYrzTv3LPZoas64xvD1RlOjXZmNe/3LOi8+F7VuGHqlS63dfUmKu352bu4oD/8UpgCaLIqk\nlB1CiCXAi4CUUspe+z+C6VI/auakYMMUQrcAz8bG/A/wDSHEXEyxdS3wV/3O8y0p5efHe/FCiNnA\nemBxLEkEzNjNTwOv9x4rpWwVQjwM/E4IMVI3dDagAi0XuNRGzIeDeJRyXljWA3Ef+IQQuVLKxtjL\njwOXCCG6j0sAkmIhBY3xjv9zwrI8TmN85as8mMkypPtmzxx6tIXF+5uOTq0tEvH1EWVqV0tzidYy\nQFxohqFvX5sxaGZ056nsWoeRPqS7OqHYVZ+YnTbi7GrDMJjR9FbTtfn1oxKOqqbz/V/s51/+cxv/\n/PUt/P716uZtO9ala2qO9/yYKK9s/y6tHeZ3mqJGeG3nk7yy7TsE22oBaAyc4fDJN0ayToPAqcq1\nZ3/DioujQ0wPUV0Pv5uqnfvpdWmdL95ZWFQ/O3W0whHgyjuf+cSk3y9jbtE7gH8SQtwLPbGLjwD3\nA0tjP0uAJxg8ceY+4I9SyrpJWvrHMN28C3ut8UrMBJkBZeGklK9jWil/CQzaCrQX1wO7xiGx53ni\nJBbFQgX+Angptull4FYhhK3fuGVAnRCiVAgxH1gOLOL8Nc/DzNaflDjTicayPE5vVmM+peLNKLDE\no8W0pqrGE8TMoOwhK3CoAzOrsw9Hk7Xq0CBWx2ib3uRoWVESr5h4N5qro8o3b96o4hyL/Vv91xfU\njdpSuO3tapK9bh697xJj5z5b3c9+vaXg1g+cN6Y2t1Sx573nCIVbe7bV+Y9TlLeA3KxyTlXuYfmC\nDcgzW1m79J54p+ghGgr6FzRspUQLjKpW5UTTpqvB/SWutkOrcgo0j2M86tg+AHxpHOYZFVLKvUKI\nrwLfjcU2LgeSMLOQle5xQogfARuFEIuklO/FNv8I0wLZAvzDGJeQJ4ToXY0g0isxZwCxDOUHMcvj\n9HYJ1wsh9mNaPz8X59DPA/sxw6p+OsjcbszyQp/CLJkzUrKF6NMzXo2t7TFgnxDiKcyYzCrM7kL/\nhRku0J1J/V+Ygv2HQogvYloiV2KW6vlvKeU5IcS3gD/0T/yJzf2PQoh/i21K7LcWAP84ZrhPGJbl\ncXozB1DtTrcjwZtxUd3sLSwmm7r6oj7uaV1TlQVdZwZkmmiGoe+8NDOuxdDQDSN6Ygm2IWo6KmpH\nIH/tnCFjIftT0LjNf1NBzZhczBWXFHDzNbO7tuwoCDTULy+w2/ve9jVd5fIVD5HqPT+9y+lG1RU0\nTcHpdHO25h2KfAtxOOLXDNfUaFdq7c7Ka2teyC7RAhPmCh8NhmFQY1dqn1/krv3ph30ZBy7PKdU8\ng1zA6Ll/nOYZC18FajBjGz8GPNtbOAJIKY8Du+hrfdwDdGDGBvZxF8f4OyFER5yfy3qN2Ywpqrp/\nfjPMWm/BLH3zSpx9Pwc+IoQYEBYSixF8ANMd3Zvbu9eF+R58BLhNSjm8Sfw8v+x3Dbti52wCVgAh\nzBqb7ZjWyB3A+lh2N1LKNswKJS5gX2zc05iZ1J+IZZbfj1kfsj+/wizd0y12b+63lipgzSiuZcqw\nGYbV63064itfZQe+ANhyyi4pK1t644NTvSYLixi5m57YENeacXnFrHsA0f36iS/d8ph9HPyiXWGt\n8/XNV3h7J47Ymo9XXhXcMeCh6lCyWvn6zQVxH7Y6zyWcszdcOahlS1MjkawKn+JJSx5xfLGvYbv/\nlsLKMQuyllaladfbS5PCEW/SW2//jPKS1cwoXDZg3Ks7vs+qxXeQlpyLYejsO7KJqBJi8Zzr2H9k\nE4vFdcgz20hOymLBrCuBmIs6eLqqIrAr52JJhlF1XTmerNfuWZWe1lqQNOqi66Pgsl/f9eS2CZzf\nwuKixXJbT19KMN0dXWm55ZbL2mJaU1ntbrLZ7H2SZWa3HhkghjTD0Haui291VMN6B/Vr8gdzVxuG\ngXe2N+BJSx5xEcXshl0XJBzPVmrVh49eVtDZFbJv2fsD5pSujSsc+2Oz2VmxwEwqPnTydebOuIxD\nJ15jxcJbeU++QluHH4/D5Z9fv9Uo1ZovCq9FSNfa3vXZgwfWZOVFva7JaLH6AKaFysJi2mGJx+nL\nEqALICndZ4lHi2lNXX1hn8B8NRRoKtZbBoi2I6l6dSjLE1eYdJ0oa3HaPP3jl87j7apMn1kyYqGV\n2bDHf0fhmTEJR1039P0HvXUNDSuKuiLtvLH7R6xceCu+7Nmjmiccaae9w8/CWVdz9PRb2LChG5rm\nqt3TeK2t0ee4CHqZ+lEa9szxKCeXZhfitA9asH0C+Is7n/nEp39915MXfXzaRCKEaMKszxiPp6SU\nk1KeRghxO6YrfDCukVLunIy1TAcs8Th9KQJwJ6Z63Impw3bAsLB4vxKJ6F2dncV9Sm/kBA53YpYA\n6cG0OmYM6DID0NVoq3F2zR9UOCpae2Ph6rkjFo5pDXv9dxaeGpNwDEfU0M49ZeFQaGYhwOETrxNV\nunjv+Ku8d/xVAGaVVKBqUWaXVgw516ETr7Nw9gfMY0rX8Pr2b0eLbYrjxsKi/KnMotYNQzudoNbu\nWZ6W6J+RPKo6meNIOmam74vDDXw/I6W8KLqSSSmfI07xbouJwRKP0xBf+So3ZsFTLat4UZntIrAe\nWFhMFdW1Dj84eoSdrinR+V1nB7ifD6dq1V2ZA62Ouqor2rm1KYPVdFTVcMh36cyU/okqg5HSsN9/\nT+GJMQnHQFBp3L13eaqup/eI3BULb2HFwluGPfaatf3L/tFzXLSrpenyzhPGA8W+KU2Gieha6FAW\njfsqMnO6MhJGla0+QdzNNBePFtMTSzxOTwTm/72Wkl1quawtpjW19fl97oPO4Ol6j03rYyXUDEPb\neWnWgJI9AJ2nM2ucRnpZvH2GrulpC9I7XF7PiOoJehvebbq3UI5JoJ06a1QdPXZ5oc3mGrcqGpqm\nhNMb9jUs7zxaMpUu6hZdad470x06uiK3QHc7yqZqHXH40J3PfCLp13c9GZrqhVhYTCaWeJyezAci\nAElpuZZ4tJi2KIoebWsr6+P2nN12ZEB7ukNpenU4I2GA1THapjc7goPXdHRkatUpRTkjclcnNrzn\nv7/w6KiFo6bp2r4DqQ1+/7Li8ZJ3hmFA8Ezl2uDO7GRDKZ2KXtSGYRhVTrV2z5JkR83cXB9x6m1e\nBHiBDzJ8yRoLi/cVlnicnhQCJKX5Ul0J3ovxhmxhMSnU1NkbwNnj/lRDgaYivbVvlxnDUHddmjng\nc2IYhhE5tVB32pxxLX2q0V5XtHz+iIRjQuPhpvvz38thqMricegKqx07dpcr4XDpuMUtR7tamuY1\nbNXL1KnJolZ0PXIsVa9/uyIjoz03cVT1MKeIu7DEo8U0wxKP0wxf+aokzCKlkcyiBZbV0WJaU1OX\n10et5QQODXA/HkrTa8LpA62OoaqESqdSEjfzWlVC7b71s0b0YOZuPNL0oO9Atn3wuuJxaWpWGt7e\nvzJN11PH1JNe1zV2HniGzq4guqYyr/yK6EIidcs7j/S4qCO6zhNVZ3nYV0h+QgJhXePb1ZUous4D\nvkKKPR6Ohzo52RXixqwLC4fs0NXW/YXOlvcqsvPVROdklNoZL26885lPJP76rie7pnohFhaThSUe\npx9LAB0gJatoxhSvxcJiylA1XW1pndHjso4lyvh6G/9Mq2PWgGxSNax3Ur9mQPcZcx5Vy1iWqzg9\n7iF7WwM4G481PeR7N2u0wvH4KaqOn1xfZMMxZn/ymZp9JLi9rF16D12NR6rffOfpwkdmiR4X9Zmu\nLn7RUENQOd/k43BnB0uTUxBJXra2BrknwcdrwWY+lj94haLhqEep3zM/ST+9OLvAZrenjXmiqSMR\nuAr4/VQvxMJisrDE4/SjHFAAPMmZF0O2ooXFlFDXYGvAcPe4RZ3BU3Uem97H4vVeul4TSXcPsIJ1\nnSwJOEmM+/lx59trvbkZw362HP7jzY/49meNpkOOpunq2+9k+JublxRfaBRiSf4SfOllzbPO/U7L\njjQUbe03oWrofLqwhB/XVvdsS7DbUQwDRTdIsNvY1dbKsuRUXCPMJO+5DkNXTyZqtXtWpnsDxV4f\njNZhf9FxI5Z4tJhGWOJx+lEI4PKkJDhciRlTvRgLi6miuiZb7/1atB3u02FGNQx197qBVsewn1pn\naGFccag52qt9i+YPKxztTaeaH87dlzka4RjqUtt27J5jRCJFI+5QMxiapkQyG9+tX955pCSq67bv\n1FRxW3bfcomzk7wDjpuflMzBjg42twS4JTuXZ/z13JKdy8/ra8h1ublhGNd1l651HMy1Ne9fk5kb\nTXFfFJ1pxokbpnoBFhaTiSUepxG+8lUZQAYQTsub6bPKO1pMV3Td0IPBmT1KR+1s8hfo7X2Uz8GM\ngVZHXdNV9VxFcryajorSESy8Qgwr7GxNpwOP5OzJcDpGbmxr8Cv1+99ZlakbKe7hRw+OYRgYLWcr\nK5p3ZqcSLQ2oCt+pqeSq9Cwq0oZvA2232fhwnnmJv2/2c01GFpua/Nybl8+LTY3URyP43AkDjms2\nlMa3Z3kix5dnFxpO+5hiNC9yZtz5zCfm/fquJ49O9UIsLCYDSzxOL5YCUQBvRkHceC0Li+lAg99o\nMIzEHqGXFzjcJ9lBNXRlz6UDzWidpzOqnXpmWf/tmhaN5qwuctidjsFqhZs0nw08nLM7zelgxH7e\no8dtVadOry+y2cYe3wgQ7WptntuwVZ2hNpUAtKoqT1Sd4968fOZ7R6fn2lSV+kiED2bl8HKgCbvN\nhg0zwaYb3TD0cy61dvey1ISGWbkjqnP5Z84NgCUeLaYFlnicXviIJcskpmRb4tFi2lJVnRnt/l3X\nlMi8cN+OMu9mGjWRVHdZ72Oi7XrAEVw5wNVqGAZJZR6/JyNlyLIyRqAy+JGsnWluB0MLzBiqqit7\n9mUFgi2LLqh+o6YpkbTG/fUrOo6WOGznr/L3zX46NY1NTY1samoE4PL0TCKGzvr0uF0Ye9jU3MhN\n2aa2vio9k29WnSXT5aI4wUNU18OHM4z6fRWZWZ1ZCWPPpPkzwDDwG13Jx7WmArRA/hrumuoVWVhM\nDpZ4nF70lA5JSEq3xKPFtMQwDKM5cN5l7QqcrE+wGT3uacXQlbfXZeX2O4bIyQWKk4E1HQ1PqCpj\nztwh4xz1QHXwI5nbU9zOkQnHzpDaumP3XFs0WjDmvs0xF3VVRfPOrFSipf2d5B/Oy+9xQQ/F5+I0\nobo373xZyYXJKSxMTqFNV4NvFdvbDq/OLNQSLqouMOOGoetapNXwq4H0MG0zvA4lPxts3X9LoQ9t\nfNG96YkN0SEnsbB4H2CJx2mCr3yVjZh4tDucdldC8pT2qLWwmCr8TXqjrif3iDLRdqRPSZ13s6iJ\n9rM6hqrd55xK6YCsa0Vtbyq8UgxpXdODtS2PZG5LSXCO7H5b16DWvnNgdY5heF0jGR8P00W9TZ2h\n+ie0ooJhGNQ61NrdC722qoW5+Zgx1e8rlE41GA142vTWQqc9NDPXToJvkCeAJGAN8NZkrs/CYiqw\nxOP0IQOzlVbI7kxwBuvktgRvRp47MTXX6U7MsFnZMxbThKqa9HD372qnvzHfaO+xMiqGHn370qw+\n1j4tooeoWzPAAqip4XDeuhlJdvvgsYhaS33LwxlbvB6nMey91jAMDh9zVp09t67YZhuRgXLg+TQl\nktbwTv2KziN9XNTjjarr0ePJet2e1emprflJ49bd5mJAV7RIJGj3q8FszdZenuHQMzPskDHCINWr\nscSjxTTAEo/Th1nE6juqkc7oqbd/u7l7h8PlcabmlOV40wtyE1OzcxOS0nNdiSm5TpcndaoWa2Ex\nERiGgb9pZk9Any9wONx7/ztZRq2S7CrrvS10oqjZSVIfC55h6EbK3NRWd3LioG5lraWh5aG0zUlJ\nTmNYC6KiapFdb+e1trXNH3N8ox7sdlFHBriox4tOXW074HME312T5VO8rj+nLjCDYhiGEW3T/Eog\nJWS0liY5IsU5NpujaIxfjlcDj43X2oQQBrBISnmo3/Ym4A4p5WYhxGZMi6fS7/AmKWU+X0x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1lwX+WHh+a5FwXgXjQ6MX2w5mKvX0b/fA+nhGaq5uJssnK2F2BiMpMU2fvV5Gwm3LAjA+CEsQGY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\nGTsBXejdAOB8AFP1/z/gM+wJAPc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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1511d249470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Pie chart, where the slices will be ordered and plotted counter-clockwise:\n",
    "explode1 = np.zeros(23)\n",
    "explode1[0] = 0.1\n",
    "explode1[1] = 0.075\n",
    "explode1[2] = 0.05\n",
    "explode1[3] = 0.025\n",
    "\n",
    "# only \"explode\" the first four slices (e.g. 'GAMING' = 1st slice)\n",
    "\n",
    "fig1, ax1 = plt.subplots()\n",
    "ax1.pie(app_categories['Count'], explode = explode1, labels=app_categories['Category'], autopct='%1.1f%%', shadow=True, startangle=90)\n",
    "ax1.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "plt.title('Google Play Store Categories by Number of Apps', fontsize=18)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After sorting 32K apps from the Google Play Store, we can now see that the most abundant app category on the play store is about Gaming followed by Education related apps and then Tools."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Google Play Store Categories by Number of Downloads"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "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>App Name</th>\n",
       "      <th>Category</th>\n",
       "      <th>Rating</th>\n",
       "      <th>Reviews</th>\n",
       "      <th>Installs</th>\n",
       "      <th>Size</th>\n",
       "      <th>Price</th>\n",
       "      <th>Content Rating</th>\n",
       "      <th>Last Updated</th>\n",
       "      <th>Minimum Version</th>\n",
       "      <th>Latest Version</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>DoorDash - Food Delivery</td>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>4.548561573</td>\n",
       "      <td>305034.0</td>\n",
       "      <td>5,000,000+</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TripAdvisor Hotels Flights Restaurants Attract...</td>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>4.400671482</td>\n",
       "      <td>1207922.0</td>\n",
       "      <td>100,000,000+</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Peapod</td>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3.656329393</td>\n",
       "      <td>1967.0</td>\n",
       "      <td>100,000+</td>\n",
       "      <td>1.4M</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>September 20, 2018</td>\n",
       "      <td>5.0 and up</td>\n",
       "      <td>2.2.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            App Name          Category  \\\n",
       "0                           DoorDash - Food Delivery    FOOD_AND_DRINK   \n",
       "1  TripAdvisor Hotels Flights Restaurants Attract...  TRAVEL_AND_LOCAL   \n",
       "2                                             Peapod          SHOPPING   \n",
       "\n",
       "        Rating    Reviews      Installs                Size Price  \\\n",
       "0  4.548561573   305034.0    5,000,000+  Varies with device     0   \n",
       "1  4.400671482  1207922.0  100,000,000+  Varies with device     0   \n",
       "2  3.656329393     1967.0      100,000+                1.4M     0   \n",
       "\n",
       "  Content Rating        Last Updated     Minimum Version      Latest Version  \n",
       "0       Everyone      March 29, 2019  Varies with device  Varies with device  \n",
       "1       Everyone      March 29, 2019  Varies with device  Varies with device  \n",
       "2       Everyone  September 20, 2018          5.0 and up               2.2.0  "
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "download_data = app_data.copy()\n",
    "download_data.head(3)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  after removing the cwd from sys.path.\n"
     ]
    },
    {
     "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>App Name</th>\n",
       "      <th>Category</th>\n",
       "      <th>Rating</th>\n",
       "      <th>Reviews</th>\n",
       "      <th>Installs</th>\n",
       "      <th>Size</th>\n",
       "      <th>Price</th>\n",
       "      <th>Content Rating</th>\n",
       "      <th>Last Updated</th>\n",
       "      <th>Minimum Version</th>\n",
       "      <th>Latest Version</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>DoorDash - Food Delivery</td>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>4.548561573</td>\n",
       "      <td>305034.0</td>\n",
       "      <td>5000000</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TripAdvisor Hotels Flights Restaurants Attract...</td>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>4.400671482</td>\n",
       "      <td>1207922.0</td>\n",
       "      <td>100000000</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>March 29, 2019</td>\n",
       "      <td>Varies with device</td>\n",
       "      <td>Varies with device</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Peapod</td>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3.656329393</td>\n",
       "      <td>1967.0</td>\n",
       "      <td>100000</td>\n",
       "      <td>1.4M</td>\n",
       "      <td>0</td>\n",
       "      <td>Everyone</td>\n",
       "      <td>September 20, 2018</td>\n",
       "      <td>5.0 and up</td>\n",
       "      <td>2.2.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            App Name          Category  \\\n",
       "0                           DoorDash - Food Delivery    FOOD_AND_DRINK   \n",
       "1  TripAdvisor Hotels Flights Restaurants Attract...  TRAVEL_AND_LOCAL   \n",
       "2                                             Peapod          SHOPPING   \n",
       "\n",
       "        Rating    Reviews   Installs                Size Price Content Rating  \\\n",
       "0  4.548561573   305034.0    5000000  Varies with device     0       Everyone   \n",
       "1  4.400671482  1207922.0  100000000  Varies with device     0       Everyone   \n",
       "2  3.656329393     1967.0     100000                1.4M     0       Everyone   \n",
       "\n",
       "         Last Updated     Minimum Version      Latest Version  \n",
       "0      March 29, 2019  Varies with device  Varies with device  \n",
       "1      March 29, 2019  Varies with device  Varies with device  \n",
       "2  September 20, 2018          5.0 and up               2.2.0  "
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# make values in 'Installs' usable for integer manipulation as opposed to strings\n",
    "for x in range(0,len(download_data)):\n",
    "    try: \n",
    "        download_data['Installs'][x] = download_data['Installs'][x].replace(',','').replace('+','')\n",
    "    except ValueError:\n",
    "        print(x)\n",
    "download_data.head(3)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{' Channel 2 News': 0,\n",
       " ' Podcasts': 0,\n",
       " ')': 0,\n",
       " 'ART_AND_DESIGN': 0,\n",
       " 'AUTO_AND_VEHICLES': 0,\n",
       " 'BEAUTY': 0,\n",
       " 'BOOKS_AND_REFERENCE': 0,\n",
       " 'BUSINESS': 0,\n",
       " 'COMICS': 0,\n",
       " 'COMMUNICATION': 0,\n",
       " 'DATING': 0,\n",
       " 'EDUCATION': 0,\n",
       " 'ENTERTAINMENT': 0,\n",
       " 'EVENTS': 0,\n",
       " 'FINANCE': 0,\n",
       " 'FOOD_AND_DRINK': 0,\n",
       " 'GAME_ACTION': 0,\n",
       " 'GAME_ADVENTURE': 0,\n",
       " 'GAME_ARCADE': 0,\n",
       " 'GAME_BOARD': 0,\n",
       " 'GAME_CARD': 0,\n",
       " 'GAME_CASINO': 0,\n",
       " 'GAME_CASUAL': 0,\n",
       " 'GAME_EDUCATIONAL': 0,\n",
       " 'GAME_MUSIC': 0,\n",
       " 'GAME_PUZZLE': 0,\n",
       " 'GAME_RACING': 0,\n",
       " 'GAME_ROLE_PLAYING': 0,\n",
       " 'GAME_SIMULATION': 0,\n",
       " 'GAME_SPORTS': 0,\n",
       " 'GAME_STRATEGY': 0,\n",
       " 'GAME_TRIVIA': 0,\n",
       " 'GAME_WORD': 0,\n",
       " 'HEALTH_AND_FITNESS': 0,\n",
       " 'HOUSE_AND_HOME': 0,\n",
       " 'LIBRARIES_AND_DEMO': 0,\n",
       " 'LIFESTYLE': 0,\n",
       " 'MAPS_AND_NAVIGATION': 0,\n",
       " 'MEDICAL': 0,\n",
       " 'MUSIC_AND_AUDIO': 0,\n",
       " 'NEWS_AND_MAGAZINES': 0,\n",
       " 'PARENTING': 0,\n",
       " 'PERSONALIZATION': 0,\n",
       " 'PHOTOGRAPHY': 0,\n",
       " 'PRODUCTIVITY': 0,\n",
       " 'SHOPPING': 0,\n",
       " 'SOCIAL': 0,\n",
       " 'SPORTS': 0,\n",
       " 'TOOLS': 0,\n",
       " 'TRAVEL_AND_LOCAL': 0,\n",
       " 'VIDEO_PLAYERS': 0,\n",
       " 'WEATHER': 0}"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a new dictionary containing Categories as Keys\n",
    "categories = download_data['Category'].unique()\n",
    "dictOfCategories = dict.fromkeys(categories, 0)\n",
    "dictOfCategories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6941\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{' Channel 2 News': 11976,\n",
       " ' Podcasts': 0,\n",
       " ')': 6,\n",
       " 'ART_AND_DESIGN': 344961050,\n",
       " 'AUTO_AND_VEHICLES': 255786710,\n",
       " 'BEAUTY': 84192320,\n",
       " 'BOOKS_AND_REFERENCE': 1782462437,\n",
       " 'BUSINESS': 1815951203,\n",
       " 'COMICS': 152448520,\n",
       " 'COMMUNICATION': 23803976342,\n",
       " 'DATING': 198057050,\n",
       " 'EDUCATION': 1562335325,\n",
       " 'ENTERTAINMENT': 6703089031,\n",
       " 'EVENTS': 47067285,\n",
       " 'FINANCE': 1986189901,\n",
       " 'FOOD_AND_DRINK': 752883976,\n",
       " 'GAME_ACTION': 8272333440,\n",
       " 'GAME_ADVENTURE': 1468670161,\n",
       " 'GAME_ARCADE': 10344473316,\n",
       " 'GAME_BOARD': 1429776050,\n",
       " 'GAME_CARD': 1125802910,\n",
       " 'GAME_CASINO': 859263000,\n",
       " 'GAME_CASUAL': 9189514835,\n",
       " 'GAME_EDUCATIONAL': 1371778027,\n",
       " 'GAME_MUSIC': 807692500,\n",
       " 'GAME_PUZZLE': 4941723285,\n",
       " 'GAME_RACING': 6428087020,\n",
       " 'GAME_ROLE_PLAYING': 1341847300,\n",
       " 'GAME_SIMULATION': 3313670910,\n",
       " 'GAME_SPORTS': 3377522900,\n",
       " 'GAME_STRATEGY': 3609776700,\n",
       " 'GAME_TRIVIA': 597079106,\n",
       " 'GAME_WORD': 1261310012,\n",
       " 'HEALTH_AND_FITNESS': 2268075860,\n",
       " 'HOUSE_AND_HOME': 332256550,\n",
       " 'LIBRARIES_AND_DEMO': 77593650,\n",
       " 'LIFESTYLE': 1541666080,\n",
       " 'MAPS_AND_NAVIGATION': 1127518750,\n",
       " 'MEDICAL': 107520310,\n",
       " 'MUSIC_AND_AUDIO': 7204844711,\n",
       " 'NEWS_AND_MAGAZINES': 5492072670,\n",
       " 'PARENTING': 53158000,\n",
       " 'PERSONALIZATION': 3195120670,\n",
       " 'PHOTOGRAPHY': 9266837042,\n",
       " 'PRODUCTIVITY': 20079705710,\n",
       " 'SHOPPING': 3292081220,\n",
       " 'SOCIAL': 10984164470,\n",
       " 'SPORTS': 865030610,\n",
       " 'TOOLS': 29950303251,\n",
       " 'TRAVEL_AND_LOCAL': 14247364915,\n",
       " 'VIDEO_PLAYERS': 15371072310,\n",
       " 'WEATHER': 972703200}"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Total up total downloads in each category\n",
    "for x in range(0,len(download_data)):\n",
    "    if download_data['Category'][x] in dictOfCategories:\n",
    "        try:\n",
    "            dictOfCategories[download_data['Category'][x]] += int(download_data['Installs'][x])\n",
    "        except ValueError:\n",
    "            print(x)\n",
    "dictOfCategories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "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>Category</th>\n",
       "      <th>Downloads</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>29950303251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>23803976342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>20079705710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>15371072310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>14247364915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>10984164470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>GAME_ARCADE</td>\n",
       "      <td>10344473316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>9266837042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>GAME_CASUAL</td>\n",
       "      <td>9189514835</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>GAME_ACTION</td>\n",
       "      <td>8272333440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>7204844711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>6703089031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>GAME_RACING</td>\n",
       "      <td>6428087020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>5492072670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>GAME_PUZZLE</td>\n",
       "      <td>4941723285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>GAME_STRATEGY</td>\n",
       "      <td>3609776700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>GAME_SPORTS</td>\n",
       "      <td>3377522900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>GAME_SIMULATION</td>\n",
       "      <td>3313670910</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3292081220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>3195120670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>2268075860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1986189901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1815951203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1782462437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>1562335325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1541666080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>GAME_ADVENTURE</td>\n",
       "      <td>1468670161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>GAME_BOARD</td>\n",
       "      <td>1429776050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>GAME_EDUCATIONAL</td>\n",
       "      <td>1371778027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>GAME_ROLE_PLAYING</td>\n",
       "      <td>1341847300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>GAME_WORD</td>\n",
       "      <td>1261310012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>1127518750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>GAME_CARD</td>\n",
       "      <td>1125802910</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>WEATHER</td>\n",
       "      <td>972703200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>865030610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>GAME_CASINO</td>\n",
       "      <td>859263000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>GAME_MUSIC</td>\n",
       "      <td>807692500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>752883976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>GAME_TRIVIA</td>\n",
       "      <td>597079106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>ART_AND_DESIGN</td>\n",
       "      <td>344961050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>HOUSE_AND_HOME</td>\n",
       "      <td>332256550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>AUTO_AND_VEHICLES</td>\n",
       "      <td>255786710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>DATING</td>\n",
       "      <td>198057050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>COMICS</td>\n",
       "      <td>152448520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>107520310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>BEAUTY</td>\n",
       "      <td>84192320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>LIBRARIES_AND_DEMO</td>\n",
       "      <td>77593650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>PARENTING</td>\n",
       "      <td>53158000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>EVENTS</td>\n",
       "      <td>47067285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>Channel 2 News</td>\n",
       "      <td>11976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>)</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>Podcasts</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category    Downloads\n",
       "0                 TOOLS  29950303251\n",
       "1         COMMUNICATION  23803976342\n",
       "2          PRODUCTIVITY  20079705710\n",
       "3         VIDEO_PLAYERS  15371072310\n",
       "4      TRAVEL_AND_LOCAL  14247364915\n",
       "5                SOCIAL  10984164470\n",
       "6           GAME_ARCADE  10344473316\n",
       "7           PHOTOGRAPHY   9266837042\n",
       "8           GAME_CASUAL   9189514835\n",
       "9           GAME_ACTION   8272333440\n",
       "10      MUSIC_AND_AUDIO   7204844711\n",
       "11        ENTERTAINMENT   6703089031\n",
       "12          GAME_RACING   6428087020\n",
       "13   NEWS_AND_MAGAZINES   5492072670\n",
       "14          GAME_PUZZLE   4941723285\n",
       "15        GAME_STRATEGY   3609776700\n",
       "16          GAME_SPORTS   3377522900\n",
       "17      GAME_SIMULATION   3313670910\n",
       "18             SHOPPING   3292081220\n",
       "19      PERSONALIZATION   3195120670\n",
       "20   HEALTH_AND_FITNESS   2268075860\n",
       "21              FINANCE   1986189901\n",
       "22             BUSINESS   1815951203\n",
       "23  BOOKS_AND_REFERENCE   1782462437\n",
       "24            EDUCATION   1562335325\n",
       "25            LIFESTYLE   1541666080\n",
       "26       GAME_ADVENTURE   1468670161\n",
       "27           GAME_BOARD   1429776050\n",
       "28     GAME_EDUCATIONAL   1371778027\n",
       "29    GAME_ROLE_PLAYING   1341847300\n",
       "30            GAME_WORD   1261310012\n",
       "31  MAPS_AND_NAVIGATION   1127518750\n",
       "32            GAME_CARD   1125802910\n",
       "33              WEATHER    972703200\n",
       "34               SPORTS    865030610\n",
       "35          GAME_CASINO    859263000\n",
       "36           GAME_MUSIC    807692500\n",
       "37       FOOD_AND_DRINK    752883976\n",
       "38          GAME_TRIVIA    597079106\n",
       "39       ART_AND_DESIGN    344961050\n",
       "40       HOUSE_AND_HOME    332256550\n",
       "41    AUTO_AND_VEHICLES    255786710\n",
       "42               DATING    198057050\n",
       "43               COMICS    152448520\n",
       "44              MEDICAL    107520310\n",
       "45               BEAUTY     84192320\n",
       "46   LIBRARIES_AND_DEMO     77593650\n",
       "47            PARENTING     53158000\n",
       "48               EVENTS     47067285\n",
       "49       Channel 2 News        11976\n",
       "50                    )            6\n",
       "51             Podcasts            0"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Convert dictOfCategories into DataFrame\n",
    "DFCategories = pd.DataFrame(list(dictOfCategories.items()),columns=['Category','Downloads']).sort_values(by=['Downloads'],ascending=False).reset_index(drop=True)\n",
    "DFCategories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GAME_ARCADE 10344473316\n",
      "GAME_CASUAL 9189514835\n",
      "GAME_ACTION 8272333440\n",
      "GAME_RACING 6428087020\n",
      "GAME_PUZZLE 4941723285\n",
      "GAME_STRATEGY 3609776700\n",
      "GAME_SPORTS 3377522900\n",
      "GAME_SIMULATION 3313670910\n",
      "GAME_ADVENTURE 1468670161\n",
      "GAME_BOARD 1429776050\n",
      "GAME_EDUCATIONAL 1371778027\n",
      "GAME_ROLE_PLAYING 1341847300\n",
      "GAME_WORD 1261310012\n",
      "GAME_CARD 1125802910\n",
      "GAME_CASINO 859263000\n",
      "GAME_MUSIC 807692500\n",
      "GAME_TRIVIA 597079106\n"
     ]
    },
    {
     "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>Category</th>\n",
       "      <th>Downloads</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>29950303251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>23803976342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>20079705710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>15371072310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>14247364915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>10984164470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>9266837042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>7204844711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>6703089031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>5492072670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3292081220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>3195120670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>2268075860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1986189901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1815951203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1782462437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>1562335325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1541666080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>1127518750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>WEATHER</td>\n",
       "      <td>972703200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>865030610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>752883976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>ART_AND_DESIGN</td>\n",
       "      <td>344961050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>HOUSE_AND_HOME</td>\n",
       "      <td>332256550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>AUTO_AND_VEHICLES</td>\n",
       "      <td>255786710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>DATING</td>\n",
       "      <td>198057050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>COMICS</td>\n",
       "      <td>152448520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>107520310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>BEAUTY</td>\n",
       "      <td>84192320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>LIBRARIES_AND_DEMO</td>\n",
       "      <td>77593650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>PARENTING</td>\n",
       "      <td>53158000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>EVENTS</td>\n",
       "      <td>47067285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>Channel 2 News</td>\n",
       "      <td>11976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>)</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>Podcasts</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>GAMING</td>\n",
       "      <td>59740321472</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category    Downloads\n",
       "0                 TOOLS  29950303251\n",
       "1         COMMUNICATION  23803976342\n",
       "2          PRODUCTIVITY  20079705710\n",
       "3         VIDEO_PLAYERS  15371072310\n",
       "4      TRAVEL_AND_LOCAL  14247364915\n",
       "5                SOCIAL  10984164470\n",
       "6           PHOTOGRAPHY   9266837042\n",
       "7       MUSIC_AND_AUDIO   7204844711\n",
       "8         ENTERTAINMENT   6703089031\n",
       "9    NEWS_AND_MAGAZINES   5492072670\n",
       "10             SHOPPING   3292081220\n",
       "11      PERSONALIZATION   3195120670\n",
       "12   HEALTH_AND_FITNESS   2268075860\n",
       "13              FINANCE   1986189901\n",
       "14             BUSINESS   1815951203\n",
       "15  BOOKS_AND_REFERENCE   1782462437\n",
       "16            EDUCATION   1562335325\n",
       "17            LIFESTYLE   1541666080\n",
       "18  MAPS_AND_NAVIGATION   1127518750\n",
       "19              WEATHER    972703200\n",
       "20               SPORTS    865030610\n",
       "21       FOOD_AND_DRINK    752883976\n",
       "22       ART_AND_DESIGN    344961050\n",
       "23       HOUSE_AND_HOME    332256550\n",
       "24    AUTO_AND_VEHICLES    255786710\n",
       "25               DATING    198057050\n",
       "26               COMICS    152448520\n",
       "27              MEDICAL    107520310\n",
       "28               BEAUTY     84192320\n",
       "29   LIBRARIES_AND_DEMO     77593650\n",
       "30            PARENTING     53158000\n",
       "31               EVENTS     47067285\n",
       "32       Channel 2 News        11976\n",
       "33                    )            6\n",
       "34             Podcasts            0\n",
       "35               GAMING  59740321472"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Combining all gaming categories\n",
    "game_dl = 0\n",
    "for i in range(0, len(DFCategories)):\n",
    "    if ('GAME' in DFCategories['Category'][i]):\n",
    "        game_dl += DFCategories['Downloads'][i]\n",
    "        print(DFCategories['Category'][i], DFCategories['Downloads'][i])\n",
    "        DFCategories = DFCategories.drop([i])\n",
    "DFCategories=DFCategories.append({'Category':'GAMING', 'Downloads':game_dl}, ignore_index=True)\n",
    "DFCategories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HEALTH_AND_FITNESS 2268075860\n",
      "FINANCE 1986189901\n",
      "BUSINESS 1815951203\n",
      "BOOKS_AND_REFERENCE 1782462437\n",
      "EDUCATION 1562335325\n",
      "LIFESTYLE 1541666080\n",
      "MAPS_AND_NAVIGATION 1127518750\n",
      "WEATHER 972703200\n",
      "SPORTS 865030610\n",
      "FOOD_AND_DRINK 752883976\n",
      "ART_AND_DESIGN 344961050\n",
      "HOUSE_AND_HOME 332256550\n",
      "AUTO_AND_VEHICLES 255786710\n",
      "DATING 198057050\n",
      "COMICS 152448520\n",
      "MEDICAL 107520310\n",
      "BEAUTY 84192320\n",
      "LIBRARIES_AND_DEMO 77593650\n",
      "PARENTING 53158000\n",
      "EVENTS 47067285\n",
      " Channel 2 News 11976\n",
      ") 6\n",
      " Podcasts 0\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
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       "        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>Category</th>\n",
       "      <th>Downloads</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>GAMING</td>\n",
       "      <td>59740321472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>29950303251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>23803976342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>20079705710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>15371072310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>14247364915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>10984164470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>9266837042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>7204844711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>6703089031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>5492072670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>3292081220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>3195120670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Others</td>\n",
       "      <td>16327870769</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Category    Downloads\n",
       "0               GAMING  59740321472\n",
       "1                TOOLS  29950303251\n",
       "2        COMMUNICATION  23803976342\n",
       "3         PRODUCTIVITY  20079705710\n",
       "4        VIDEO_PLAYERS  15371072310\n",
       "5     TRAVEL_AND_LOCAL  14247364915\n",
       "6               SOCIAL  10984164470\n",
       "7          PHOTOGRAPHY   9266837042\n",
       "8      MUSIC_AND_AUDIO   7204844711\n",
       "9        ENTERTAINMENT   6703089031\n",
       "10  NEWS_AND_MAGAZINES   5492072670\n",
       "11            SHOPPING   3292081220\n",
       "12     PERSONALIZATION   3195120670\n",
       "13              Others  16327870769"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Combine Smaller Categories\n",
    "DFCat_Orig = DFCategories.copy()\n",
    "others_dl = 0\n",
    "for i in range(0, len(DFCategories)):\n",
    "    if (DFCategories['Downloads'][i]<3000000000):\n",
    "        others_dl += DFCategories['Downloads'][i]\n",
    "        print(DFCategories['Category'][i], DFCategories['Downloads'][i])\n",
    "        DFCategories = DFCategories.drop([i])\n",
    "\n",
    "# Add \"Others\" category to encompass the remaining apps\n",
    "DFCategories = DFCategories.sort_values(by=['Downloads'],ascending=False).reset_index(drop=True)\n",
    "DFCategories = DFCategories.append({'Category':'Others', 'Downloads':others_dl}, ignore_index=True)\n",
    "DFCategories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6YZa624GnVHVcpKnpInIk8KWIHKeqz4ftE4AjRORUVX2qBlHOA57DlMKLgayU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1511b3eec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Pie chart, where the slices will be ordered and plotted counter-clockwise:\n",
    "explode2 = np.zeros(14)\n",
    "explode2[0] = 0.1\n",
    "explode2[1] = 0.075\n",
    "explode2[2] = 0.05\n",
    "explode2[3] = 0.025\n",
    "\n",
    "# only \"explode\" the first four slices \n",
    "\n",
    "fig2, ax2 = plt.subplots()\n",
    "ax2.pie(DFCategories['Downloads'], explode = explode2, labels=DFCategories['Category'], autopct='%1.1f%%', shadow=True, startangle=90)\n",
    "ax2.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "plt.title('Google Play Store Categories by Number of Downloads', fontsize=18)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are some quite surprising results. Comparing our pie charts from Section 1 and 2, we still see <strong>Gaming</strong> as the leader in terms of app quantity and demand. But rather than having 2nd place being filled by <strong>Education</strong>, <strong>Tools</strong> actually takes the number 2 spot as having the most downloads. As a matter of fact, the <strong>Education</strong> category which showed up plentifully as having the second most amount of apps in a category turns out to not have nearly as many total downloads, ranking in at 17th place."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XHTG4cQyxRnkVYu1xKQcCtwP1xLZRr6a1szlindp0+yi6+51mNhS4luZAtJKe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JNYTd6EQyd+DLvVhxWLbgcA5DOxvjVdz5hqeXIqJpKzRs4gPAbVsFJDY0bRQqPnF0sB2KqatFAt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1511cddf6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(121)\n",
    "plt.pie(app_categories['Count'], explode = explode1, labels=app_categories['Category'], autopct='%1.1f%%', shadow=True, startangle=90)\n",
    "plt.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "plt.title('Categories by # of Apps', fontsize=18)\n",
    "\n",
    "\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.pie(DFCategories['Downloads'], explode = explode2, labels=DFCategories['Category'], autopct='%1.1f%%', shadow=True, startangle=90)\n",
    "plt.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "plt.title('Categories by # of Downloads', fontsize=18)\n",
    "\n",
    "plt.subplots_adjust(right=.9999)\n",
    "\n",
    "plt.subplots_adjust(left=.0001)\n",
    "\n",
    "plt.subplots_adjust(wspace=.75)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "AppCat_Orig = AppCat_Orig.sort_values(by=['Category'],ascending=True).reset_index(drop=True)\n",
    "DFCat_Orig = DFCat_Orig.sort_values(by=['Category'],ascending=True).reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "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>Category</th>\n",
       "      <th>Count</th>\n",
       "      <th>Downloads</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Channel 2 News</td>\n",
       "      <td>1</td>\n",
       "      <td>11976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Podcasts</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>)</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ART_AND_DESIGN</td>\n",
       "      <td>163</td>\n",
       "      <td>344961050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>AUTO_AND_VEHICLES</td>\n",
       "      <td>222</td>\n",
       "      <td>255786710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>BEAUTY</td>\n",
       "      <td>90</td>\n",
       "      <td>84192320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>BOOKS_AND_REFERENCE</td>\n",
       "      <td>1639</td>\n",
       "      <td>1782462437</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>BUSINESS</td>\n",
       "      <td>1030</td>\n",
       "      <td>1815951203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>COMICS</td>\n",
       "      <td>81</td>\n",
       "      <td>152448520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>COMMUNICATION</td>\n",
       "      <td>637</td>\n",
       "      <td>23803976342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>DATING</td>\n",
       "      <td>103</td>\n",
       "      <td>198057050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>EDUCATION</td>\n",
       "      <td>3431</td>\n",
       "      <td>1562335325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>ENTERTAINMENT</td>\n",
       "      <td>2085</td>\n",
       "      <td>6703089031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>EVENTS</td>\n",
       "      <td>93</td>\n",
       "      <td>47067285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>FINANCE</td>\n",
       "      <td>1367</td>\n",
       "      <td>1986189901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>FOOD_AND_DRINK</td>\n",
       "      <td>459</td>\n",
       "      <td>752883976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>GAMING</td>\n",
       "      <td>7131</td>\n",
       "      <td>59740321472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>HEALTH_AND_FITNESS</td>\n",
       "      <td>801</td>\n",
       "      <td>2268075860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>HOUSE_AND_HOME</td>\n",
       "      <td>128</td>\n",
       "      <td>332256550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>LIBRARIES_AND_DEMO</td>\n",
       "      <td>64</td>\n",
       "      <td>77593650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>LIFESTYLE</td>\n",
       "      <td>1368</td>\n",
       "      <td>1541666080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>MAPS_AND_NAVIGATION</td>\n",
       "      <td>361</td>\n",
       "      <td>1127518750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>MEDICAL</td>\n",
       "      <td>495</td>\n",
       "      <td>107520310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>MUSIC_AND_AUDIO</td>\n",
       "      <td>1343</td>\n",
       "      <td>7204844711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>NEWS_AND_MAGAZINES</td>\n",
       "      <td>825</td>\n",
       "      <td>5492072670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>PARENTING</td>\n",
       "      <td>109</td>\n",
       "      <td>53158000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>PERSONALIZATION</td>\n",
       "      <td>839</td>\n",
       "      <td>3195120670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>PHOTOGRAPHY</td>\n",
       "      <td>663</td>\n",
       "      <td>9266837042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>PRODUCTIVITY</td>\n",
       "      <td>1113</td>\n",
       "      <td>20079705710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>SHOPPING</td>\n",
       "      <td>662</td>\n",
       "      <td>3292081220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>SOCIAL</td>\n",
       "      <td>431</td>\n",
       "      <td>10984164470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>SPORTS</td>\n",
       "      <td>613</td>\n",
       "      <td>865030610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>TOOLS</td>\n",
       "      <td>2399</td>\n",
       "      <td>29950303251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>TRAVEL_AND_LOCAL</td>\n",
       "      <td>722</td>\n",
       "      <td>14247364915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>VIDEO_PLAYERS</td>\n",
       "      <td>330</td>\n",
       "      <td>15371072310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>WEATHER</td>\n",
       "      <td>200</td>\n",
       "      <td>972703200</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Category  Count    Downloads\n",
       "0        Channel 2 News      1        11976\n",
       "1              Podcasts      1            0\n",
       "2                     )      1            6\n",
       "3        ART_AND_DESIGN    163    344961050\n",
       "4     AUTO_AND_VEHICLES    222    255786710\n",
       "5                BEAUTY     90     84192320\n",
       "6   BOOKS_AND_REFERENCE   1639   1782462437\n",
       "7              BUSINESS   1030   1815951203\n",
       "8                COMICS     81    152448520\n",
       "9         COMMUNICATION    637  23803976342\n",
       "10               DATING    103    198057050\n",
       "11            EDUCATION   3431   1562335325\n",
       "12        ENTERTAINMENT   2085   6703089031\n",
       "13               EVENTS     93     47067285\n",
       "14              FINANCE   1367   1986189901\n",
       "15       FOOD_AND_DRINK    459    752883976\n",
       "16               GAMING   7131  59740321472\n",
       "17   HEALTH_AND_FITNESS    801   2268075860\n",
       "18       HOUSE_AND_HOME    128    332256550\n",
       "19   LIBRARIES_AND_DEMO     64     77593650\n",
       "20            LIFESTYLE   1368   1541666080\n",
       "21  MAPS_AND_NAVIGATION    361   1127518750\n",
       "22              MEDICAL    495    107520310\n",
       "23      MUSIC_AND_AUDIO   1343   7204844711\n",
       "24   NEWS_AND_MAGAZINES    825   5492072670\n",
       "25            PARENTING    109     53158000\n",
       "26      PERSONALIZATION    839   3195120670\n",
       "27          PHOTOGRAPHY    663   9266837042\n",
       "28         PRODUCTIVITY   1113  20079705710\n",
       "29             SHOPPING    662   3292081220\n",
       "30               SOCIAL    431  10984164470\n",
       "31               SPORTS    613    865030610\n",
       "32                TOOLS   2399  29950303251\n",
       "33     TRAVEL_AND_LOCAL    722  14247364915\n",
       "34        VIDEO_PLAYERS    330  15371072310\n",
       "35              WEATHER    200    972703200"
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ComboCats = pd.merge(AppCat_Orig, DFCat_Orig, on='Category')\n",
    "ComboCats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eBhtJkjSQiJgJLASOAf4dOAg4LyJ2ysxl4+Mycz4wv+d1RwN/CnypPjQPeG9m/vNUzc1g\nI0lSwVpaPLwHMJqZJ9VfnxoRbwf2Bb440Qsi4pnAW4GnZ+bK+vA84LNTOTGDjSRJBWsp2OwMXNN3\nLOvjq/NJ4NjMvBkgImYBARwWEWcCdwLHZeapazMxd0VJkqRBzQZW9B1bQbV+5iEi4nnAU4F/6zk8\nF/gOcBKwHfAG4BMRsc/aTMyKjSRJBZvWzq6oFcDGfcdmAcsmGAtwMHBm3/qbXwIv6BlzaUScAbwc\n+MaaTsyKjSRJBRuZNjKlH5N0LVUbqVfw0PbUuJfRt/YmIv44Io7oGzcTuG+yk5iIFRtJkjSoi4EZ\nEXEosIBqV9Rc4ML+gRGxI/BY4Iq+U8uAD0TEz4GvUC1IfjXNKs7ArNhIklSwNio2mXk/sA9wILAU\nOBTYPzOXR8SC+v4143YAlmbmA33XuB54FfB+4F7gU8DBmfmjtfl+WLGRJKlgbd2gLzOvAnab4Pj8\nvq8vAR63mmsspLofzpSxYiNJkjrDio0kSQUbsUTRYLCRJKlgPgSzyZwnSZI6w4qNJEkFa2vx8LAy\n2EiSVLCWnhU1tGxFSZKkzrBiI0lSwazYNBlsJEkqWEsPwRxatqIkSVJnWLGRJKlgtqKaDDaSJBXM\nYNNkK0qSJHWGFRtJkgrmDfqaDDaSJBXMZ0U12YqSJEmdYcVGkqSCjViiaDDYSJJUMNfYNJnzJElS\nZ1ixkSSpYN7HpsmKjSRJ6gwrNpIkFczt3k0GG0mSCubi4SZbUZIkqTOs2EiSVDAXDzcZbCRJKth0\ng02DrShJktQZVmwkSSqYFZsmg40kSQUz2DTZipIkSZ1hxUaSpIJZsWky2EiSVDCDTZOtKEmS1BlW\nbCRJKtgGVmwaDDaSJBXMVlSTrShJktQZVmwkSSqYFZsmg40kSQWbPs3mSy+/G30iYlZEzG17HpIk\naXBDXbGJiL2Bw4FdgRHgh8D7MvOKR/Ftvw18EPjao/gekiRNibZaURExDzgZ2AW4AZifmd+fYNzX\ngD2BVePHMnPOINcYxNBWbCLi9cBpwCeBxwHbAP8JXBwRuzyKb73lo3htSZKm1PRpI1P6MRkRMRNY\nCHwW2Aw4ATgvIuZMMHwesHtmzhn/WINrTNpQVmwiYhbwceCvMnO8crIS+HhEbAU8JSKWUIWeFwO/\nBc4GjsrM+yPiNGBJZr6rvt5+wImZuUNE/B3wauB24ID6zw9m5hkR8VVgO+BLEfGezDxhHf0nS5JU\nkj2A0cw8qf761Ih4O7Av8MXxQRGxNbA1cPWaXmNQQxlsgOdRze2C/hOZeQRARHwP+CWwI7Ap8FXg\nH4EjJnH9lwB/AxwMHAKcGBFfysw/i4gbgbf0BKpHNHeLTdl09saTHa4ptv02Wzb+VDueuNXstqew\nXtt281mNP9WOG29fvs7fs6VW1M7ANX3Hsj7eax5wL/C1iHgGcD3wrsy8bIBrDGRYg82WwJ2Z+eBE\nJyPiScBzgf0z817g3og4CjidyQWbRZl5Rn2tzwH/QpUoF63JZG/4+nHMnLHhmrxUU+j8k97Z9hSk\n1p1yyG5tT2G9tvNbz13n7zl9pJVgMxtY0XdsBdCfrGcClwHvBn4OvBb4RkTsPMA1BjKswebXwOYR\nsWFmruw9ERGPpVpvszwzl/ScugmYGxGTSRi393w+fv01Xm/05JcebsWmRdtvsyXnn/RO9n3Tx7np\n1iWP/AI9Kp74rD3bnsJ6bdvNZ3HKIbvxun/7Hrcs7f9dIU25FUD/L75ZwLLeA5l5LtCb9k6KiDdT\ntaEmdY1BDWuwuQx4ANgHOK/v3CnAJsDsiNgiM++oj+8ILM3MlRGxCtio5zVbPJqTXXzHPSy+455H\n8y00CTfduoQbFi1uexrrrVXbr/sSvB7qlqUrWmmHqD0ttaKuBd7SdyyAsxoHIl4BTMvM3jUzM4H7\nJnuNQQ1lsMnM+yLiSODTdUi5kCrVvR3YC9iNqn30LxHxJuAxwNHA5+tLXA/8dUQ8BpgBzB/g7e+n\nWrMjSdLQaynYXAzMiIhDgQXAQcBcqt/XveYAH4mIq6m2c7+N6vf5fwIPTvIaAxna7d6Z+SngHcAH\nqFpHNwJ/ArwwM68GXgNsSLWA+ErgO1Q9PKj2xP9v/ZpLgS8M8NanA5+JiH9Y6/8ISZI6KDPvp+qq\nHAgsBQ6lWve6PCIWRMSCetxpwPFUm4HuAvYH9snM5Q93jbWZ28jY2NjavF7ARvNe6zexRU/ebi4/\nO/dYdjngSFtRLdpp9wPansJ6bYetZnPBUXux94cushXVsutOOGCdllDevfBnU/o76GMv26Xoh08N\nZStKkiRNjg/BbBraVpQkSdKgrNhIklQwKzZNBhtJkgpmsGmyFSVJkjrDio0kSQWzYtNksJEkqWAG\nmyZbUZIkqTOs2EiSVDArNk0GG0mSCmawabIVJUmSOsOKjSRJBbNi02TFRpIkdYYVG0mSCmbFpslg\nI0lSwQw2TbaiJElSZ1ixkSSpYNNHrNj0MthIklSwaQabBltRkiSpM6zYSJJUsOkWbBoMNpIkFWya\nu6IabEVJkqTOsGIjSVLB3BXVZLCRJKlg7opqshUlSZI6w4qNJEkFc1dUk8FGkqSCuSuqyVaUJEnq\nDCs2kiQVzMXDTQYbSZIK5hqbJltRkiSpM6zYSJJUMFtRTQYbSZIKNt1dUQ22oiRJUmdYsZEkqWC2\nopoMNpIkFcxdUU22oiRJUmdYsZEkqWC2opoMNpIkFcxdUU0GG0mSNLCImAecDOwC3ADMz8zvTzDu\n9cC7gblAAu/IzEvrc+8CPgw80POSfcbPrwnX2EiSVLBpI1P7MRkRMRNYCHwW2Aw4ATgvIub0jduD\nKri8sh53IrAwIraoh8wD3puZc3o+1jjUgMFGkqSiTR8ZmdKPSdoDGM3MkzJzZWaeCiwG9u0b9wTg\nuMy8MjNHM/N0YBVVlQeqYHPlFHwbfsdWlCRJGtTOwDV9x7I+/vsDmWf0fh0RzwM2Aa6JiFlAAIdF\nxJnAnVQh6NS1mZgVG0mSCjZtZGRKPyZpNrCi79gKYNbqXhARTwXOAd6fmUuo1tx8BzgJ2A54A/CJ\niNhnwG9BgxUbSZIKNr2dEsUKYOO+Y7OAZRMNjogXA18APp6ZHwHIzF8CL+gZdmlEnAG8HPjGmk7M\nio0kSRrUtVRtpF7BQ9tTRMTBwJeBN2fmP/Uc/+OIOKJv+EzgvrWZmBUbSZIK1tIN+i4GZkTEocAC\n4CCq1tKFvYMiYk/gU8CLJ9jttAz4QET8HPgK1YLkV9Os4gzMYCNJUsEG2Mk0ZTLz/notzAKq7dw/\nB/bPzOURsaAeMx94D7AR8I2IRoHnFZl5QUS8CjgGOB34FXBwZv5obeZmsJEkSQPLzKuA3SY4Pr/n\n8xc/wjUWUt0PZ8oYbCRJKpjPimoy2EiSVLCWdkUNLb8dkiSpM6zYSJJUMFtRTVZsJElSZ1ixkSSp\nYBZsmgw2kiQVbBomm162oiRJUmdYsZEkqWC2opoMNpIkFWyawabBVpQkSeoMKzaSJBXMVlSTwUaS\npIK5K6rJVpQkSeoMKzaSJBXMVlSTwUaSpIK5K6rJVpQkSeoMKzaSJBXMgk2TwUaSpIJNc5FNg60o\nSZLUGVZsJEkqmAWbJoONJEkFs/XS5PdDkiR1hhUbSZIKNmIvqsFgI0lSwbxBX5OtKEmS1BlWbCRJ\nKpidqCaDjSRJBbP10uT3Q5IkdYYVG0mSCuauqCaDjSRJBXNXVJOtKEmS1BlWbCRJKpgFmyaDjSRJ\nBbMV1WQrSpIkdYYVG0mSCuauqCaDjSRJBbMV1WQrSpIkdYYVG0mSCtZWwSYi5gEnA7sANwDzM/P7\nE4w7EDgGmAtcArwuMxcPco1BWLGRJKlg00ZGpvRjMiJiJrAQ+CywGXACcF5EzOkb90fAAuBAYEvg\n1/VrJn2Ngb8fa/NiSZK0XtoDGM3MkzJzZWaeCiwG9u0b9xrg3My8PDN/C7wH2Dsi5g5wjYHYipoC\nO+1+QNtTWK89cavZ1Z/P2pNV2y9veTbrr19cem7bU1ivTd9uLrAXN1/xLX6xaHHb01nPrdvfCS1t\nitoZuKbvWNbH+8dd9rsBmXdExFIgBrjGQAw2kiQVbGRsrI23nQ2s6Du2Apg1wLjJXmMgtqIkSdKg\nVgAb9x2bBSwbYNxkrzEQg40kSSUbG53aj8m5lqqd1Ct4aGupMS4itgQ2r49P9hoDsRUlSVLBRiYf\nRqbSxcCMiDiUatfTQVTbuS/sG3c28N8RcSpwBXAs8I16rc1krzEQKzaSJGkgmXk/sA/VNu6lwKHA\n/pm5PCIWRMSCetyVwOuBU4HfANsABz/SNdZmblZsJEkqWTsVGzLzKmC3CY7P7/v6i8AXB7nG2rBi\nI0mSOsOKjSRJJWtnu/fQMthIklSyllpRw8pWlCRJ6gwrNpIkFayl7d5Dy2AjSVLJDDYNtqIkSVJn\nWLGRJKlkVmwaDDaSJJXMYNNgK0qSJHWGFRtJkko2asWml8FGkqSCud27yVaUJEnqDCs2kiSVzIpN\ng8FGkqSS+RDMBltRkiSpM6zYSJJUMltRDQYbSZIK5q6oJltRkiSpM6zYSJJUMis2DQYbSZJKZrBp\nsBUlSZI6w4qNJEkls2LTYLCRJKlg7opqshUlSZI6w4qNJEklG7Vi08tgI0lSyXxWVIOtKEmS1BlW\nbCRJKpmLhxsMNpIkFcxdUU22oiRJUmdYsZEkqWRWbBoMNpIklcxg02ArSpIkdYYVG0mSSja6qu0Z\nDBWDjSRJBRvzzsMNtqIkSVJnWLGRJKlktqIaDDaSJJXMYNNgsJEkSVMuIt4GHA5sApwHvDEzl08w\nbjPgeGBvqiUyFwBvzcw76/NXAzsB44uJbsrMXVb3vgYbSZIKNrZq+Co2EbEfVajZA1gMnA0cB7x5\nguH/QhV+ngyMAGcA/wr8dURsDOwMPC4zl0zmvV08LEmSptpBwCmZeX1m3g0cBRwUEdMnGDsdODoz\n76nHfgbYrT73dODXkw01YMVGkqSytbTdOyI2AOZMcGqUqsry1Z5jWY/dFljUOzgzD+p7/f7AT+rP\n5wErI+Iy4A+AHwOHZea1q5uXFRtJkko2umpqPybvhcCdE3xcBcwGVvSMHf981sNdMCLeCbwSOLLn\n8A+BA4HtgCuA8+sW1YSs2EiSpIFl5kVUa2IeIiKuAnrDx3igWbaa8dOp1tq8EtgzM6+r3+Nk4OSe\nce8DDgF2BS6b6FoGG0mSCjY2nNu9rwWi5+sA7gJu7R8YETOBc4AnAM/JzJt6zr0B+EUdoqBaj7Mh\ncN/q3thgI0lSyYbzkQpnAgsi4hzgZuBo4KzMnGiyJwNbAc/PzHv7zm0DHBYRewNLgI8C1/H7NTgP\nYbCRJElTKjMXRsSOwNeBzeo/Dx8/HxHLgH2AXwB/A9wP3BbxuyLPkszcATgG2BT4AdXi428DL19N\nQAIMNpIkFW1IW1Fk5gnACas517ubasJ1OvW4lcA76o9JMdhIklSyIQ02bXG7tyRJ6gwrNpIklWw4\nFw+3xmAjSVLBhvFZUW2yFSVJkjrDio0kSSVz8XCDwUaSpJIZbBpsRUmSpM6wYiNJUsHG3BXVYLCR\nJKlktqIabEVJkqTOsGIjSVLJrNg0GGwkSSqYa2yabEVJkqTOsGIjSVLJbEU1GGwkSSqZwabBVpQk\nSeoMKzaSJBXMp3s3GWwkSSqZu6IabEVJkqTOsGIjSVLJXDzcYLCRJKlgYwabBltRkiSpM6zYSJJU\nMB+p0GSwkSSpYGOrDDa9bEVJkqTOsGIjSVLBrNg0GWwkSSqYa2yabEVJkqTOsGIjSVLBbEU1GWwk\nSSqYwabJVpQkSeoMKzaSJBVsdJWPVOhlxUaSJHWGFRtJkgrmdu8mg40kSQVz8XCTrShJktQZVmwk\nSSqYFZumRww2ETEG/BYYBUaAe4DzgCMy885Hd3qNOTw9M6+ewmvuB5yYmTtM1TUlSVrXhnWNTUS8\nDTgc2IQqN7wxM5dPMG5L4Hag99yZmTl/kOuMm2wr6tmZOSczZwPPBrYFzo8IW1mSJKmhLh4cDuwB\nPBHYHDhuNcPnAT+rc8b4x/w1uA6wBq2ozLw5Il4N3Aq8FFgYEXOBTwIvpqrunA0cBbwE+OfM/MN6\ngscAr80FJfvuAAALTklEQVTMx9dfHwnsDHwWOAG4CPg7YAVwQmZ+rP/9I+KZwCeAXYHbgI9k5mn1\nuXn1f/AuwGOA7wAHZebiiJgJ/CvwKmAp8JWea24ELAD2Bx4AvkeVCO8Y9PsjSdK6NDqcraiDgFMy\n83qAiDgK+K+IODQz+2+8Mw+4cgquA6zhGpvMXBYR3wWeDywEvgr8EtgR2LT++h+BDwHbRcR2mbkI\n2BN4TETsnJnXAftQBRqApwNfBLYGXgZ8OSLOysxfjb9vRGwFfIsqNO0F/DFV5ejXmXkB8CXgeOBF\nVKnufOAt9fgPUQWeJwEz63O937inAtsDY8A5wGHA+yfz/dhykxnMmelypbZsu/msxp9qx/Tt5rY9\nhfXa9tts2fhT7bhh0eJ1/p5trbGJiA2AOROcGqUqWny151jWY7cFFvWNnwfsGBHXURUlzgfemZl3\nDXgdYO0WDy8FNo+IJwHPBfbPzHuBe+tEdXpmHhER/wXsFRFfBnYAzgVeGBG/Bp4JXFj/uQr4aGY+\nCHw1IpYBOwG/6nnP/YFfZea/1l9fHhGfpqryXEBVIfolMAt4ArCk/o8H+EvgLZm5BCAiPgocU5+7\nD3gy8LfA14CXZuakf1K+9cEXMWPD6ZMdrkfJKYfs1vYU1nN7tT0BAeef9M62p7Be22jea9uewrr0\nQuCbExy/CXiQqvsybvzzif4FejdwCfAxYCPgdKouyquB2QNcB1i7YLMl8COqCsvy8cBQuwmYGxEb\nUgWFvagWBn0X+C+qXtkdwPcy896IALgrM1f2XGMlD10DtDVwY9+xm4Dd68+fTZX0NgF+Cjy2fl+A\nxwG39Lzud9fJzM9HxKbAwVQVpJ9GxBsz8weP9E0A2POD37Ri06JtN5/FKYfsxuv+7XvcsnTFI79A\nj4qbr/hW21NYr22/zZacf9I72fdNH+emW5c88gvUGW1VbDLzIqpNRQ8REVcBG/ccGg8iyya4zvy+\n174PuLRex7tistcZt0a/jSNiE2A3qrUui4DZEbFFz5qUHYGlmbkyIr4O/APwa6pQczFVm2oFVegZ\nxCLgr/qO7QgsjognAJ8Dnp+Zl9fzPJXfh6NbqVpN/1N/PV7JISKeDFycmSdFxBZULajPUZXAHtGS\ne+9nyb33D/ifoql2y9IV3Hj7ahfK61H2ixZK8Hqom25d0ko7RO0Z0l1R1wLR83UAd1H9Lv79wSq8\nHAOcnJk31odnAg9k5mhETOo6vQbe1RQRO1ItDr4C+M/MvIVq3cu/RMSciNgWOBr4PEBm/pKqOvM3\nwCWZeQPVAt2/pFqfM4jzgcdFxCERsUFEPAd4ff1ec6iS44qIGImIfYBXAhvWrz0DeF9EPD4iHgcc\n0XPdA4Cz60XQd1IlQRcOS5K0Zs4E3hgRu9QdkaOBs/qXedRfPxc4NiJm17+fjwVOG+Q6vSYbbH4Q\nEcsi4h6qisv1wH6ZOVaffw1VgPgl1crm7wDv7nn916kWE/2s/voS4KbM/MUk3x+A+r45e1P13ZYC\nZ1HdT+cr9WLko+v53UFVJToZeEr98qPreV1DFcp6+4LHA5dTta/uBp5H1ZaSJGmoja0andKPqZCZ\nC4GPUv3+X0RVZTl8/HydKcaXkbyGqkpzM1VO+CnwnslcZyIjY2NjD3dek7DzW8/1m9iiHbaazQVH\n7cXeH7rIVlSLfnHpuW1PYb325O3m8rNzj2WXA460FdWyB3586oTrTh4ti448eEp/B2137GfX6fyn\nmjfYkyRJneFWHkmSCjY6nIuHW2OwkSSpYD4Es8lWlCRJ6gwrNpIkFWxs1YSPTFpvGWwkSSrYkN6g\nrzW2oiRJUmdYsZEkqWAuHm4y2EiSVDCDTZOtKEmS1BlWbCRJKtioFZsGg40kSQVzV1STrShJktQZ\nVmwkSSqYi4ebDDaSJBVsbNVY21MYKraiJElSZ1ixkSSpYO6KajLYSJJUsLFRW1G9bEVJkqTOsGIj\nSVLBRl083GCwkSSpYG73brIVJUmSOsOKjSRJBfM+Nk0GG0mSCuYamyZbUZIkqTOs2EiSVDAXDzdZ\nsZEkSZ1hxUaSpIKNeufhBoONJEkFc1dUk60oSZLUGVZsJEkqmE/3bjLYSJJUMFtRTbaiJElSZ1ix\nkSSpYFZsmgw2kiQVzDU2TbaiJElSZ1ixkSSpYGPeoK/BYCNJUsF8uneTrShJktQZVmwkSSrYsD7d\nOyLeBhwObAKcB7wxM5dPMG5Z36ENgZHM3Kg+fzWwEzD+H3pTZu6yuvc12EiSVLBh3O4dEftRhZo9\ngMXA2cBxwJv7x2bmnJ7XzQZ+CHyy/npjYGfgcZm5ZDLvbStKkiRNtYOAUzLz+sy8GzgKOCgipj/C\n644Brs/Mz9RfPx349WRDDVixkSSpaG0tHo6IDYA5E5wapaqyfLXnWNZjtwUWreZ6fwi8HnhKz+F5\nwMqIuAz4A+DHwGGZee3q5mXFRpKkgo2Njk7pxwBeCNw5wcdVwGxgRc/Y8c9nPcz1DgfOyMz+4PND\n4EBgO+AK4Py6RTUhKzaSJGlgmXkRMDLRuYi4CugNH+OBpn+h8Pj4mcCrgd373uNk4OSece8DDgF2\nBS6b6FoGG0mSCjak97G5FoierwO4C7h1NeP3AG7LzCt7D0bEG4Bf1CEKYDrVrqn7VvfGBhtJkgo2\njLuigDOBBRFxDnAzcDRwVmaurtf1J0xcgdkGOCwi9gaWAB8FrgN+sro3do2NJEmaUpm5kCqEfJ1q\nsfBdVGtogOreNRHR23baAbhtgksdA1wI/AD4DfAk4OUPE5Cs2EiSVLJhvUFfZp4AnLCac3P6vv7b\n1YxbCbyj/pgUg40kSQUb0jU2rbEVJUmSOsOKjSRJBRvSxcOtMdhIklSw0TGDTS9bUZIkqTOs2EiS\nVLBVVmwaDDaSJBXMJTZNtqIkSVJnWLGRJKlgtqKaDDaSJBXMVlSTrShJktQZVmwkSSqYragmg40k\nSQWzFdVkK0qSJHWGFRtJkgpmK6rJYCNJUsFsRTXZipIkSZ1hxUaSpIJZsWmyYiNJkjrDio0kSQVz\n8XCTwUaSpILZimqyFSVJkjrDio0kSQWzFdVksJEkqWC2oppsRUmSpM6wYiNJUsFsRTUZbCRJKpit\nqCZbUZIkqTOs2EiSVDBbUU0GG0mSCjba9gSGjK0oSZLUGVZsJEkqmK2oJoONJEkFc1dUk60oSZLU\nGVZsJEkqmK2oJoONJEkFsxXVZCtKkiR1hhUbSZIKZiuqyWAjSVLBhr0VFRHHAysz812rOT8D+BTw\nZ8BK4ITMPKbn/NuAw4FNgPOAN2bm8tW9n60oSZI05SJii4g4DXjrIww9Btge2BF4PvD3EfGq+hr7\nUYWaPYAnApsDxz3cxQw2kiQVbNXY2JR+TKHvAA8C5zzCuIOAD2fm3Zl5A3Ai8Hc9507JzOsz827g\nKOCgiJi+uovZipIkqWBttaIiYgNgzgSnRjPzHmDPzLy1rtqs7hqPBbYGruk5nMAh9ec7A1/tOzcH\n2BZYNNE1DTZT4LoTDhhpew6CC47aq+0prOcOaHsCAn527rFtT0Hr2IKxG9v6HfRC4JsTHL8J2CEz\nb53ENWbXf67oObYCmNVzvv8cPecfwmAjSZIGlpkXAWsbqsaDysbAPfXns4BlPec37hk/HmiWsRqu\nsZEkSa3IzKXAb4DoORz8vjV17QTn7gJWWw2yYiNJktp0JvDBiHgFsAXwFuDdPecWRMQ5wM3A0cBZ\nmTm6uotZsZEkSetURCyLiN3rL/8BuB64jmon1Wcy80sAmbkQ+CjwdarFwndRbf9erZEx71goSZI6\nwoqNJEnqDIONJEnqDIONJEnqDIONJEnqDIONJEnqDIONJEnqDIONJEnqDIONJEnqDIONJEnqjP8P\nBiSsvB9f28YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1511c61f5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr = ComboCats.corr()\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "fig.colorbar(ax.matshow(corr, cmap='RdBu', vmin=-1, vmax=1))\n",
    "\n",
    "ax.set_xticks(range(len(corr.columns)))\n",
    "ax.set_xticklabels(corr.columns)\n",
    "for tick in ax.get_xticklabels():\n",
    "        tick.set_rotation(45)\n",
    "\n",
    "ax.set_yticks(range(len(corr.columns)))\n",
    "ax.set_yticklabels(corr.columns)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we can see an strong relationship of about 0.76 between the number of downloads in an app category and the number of apps i that category available to download. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0.61960784313725492, 0.0039215686274509803, 0.25882352941176473, 1.0)\n",
      "(0.68918406072106264, 0.081087919038583173, 0.27526881720430108, 1.0)\n",
      "(0.75876027830487036, 0.15825426944971538, 0.29171410499683748, 1.0)\n",
      "(0.82833649588867808, 0.2354206198608475, 0.30815939278937382, 1.0)\n",
      "(0.87058823529411766, 0.29664769133459834, 0.29614168247944339, 1.0)\n",
      "(0.90980392156862744, 0.35610373181530675, 0.28096141682479447, 1.0)\n",
      "(0.94901960784313732, 0.41555977229601515, 0.2657811511701455, 1.0)\n",
      "(0.96597090449082867, 0.49323213156230228, 0.29310562934851359, 1.0)\n",
      "(0.97735610373181536, 0.57545857052498417, 0.33105629348513599, 1.0)\n",
      "(0.98874130297280205, 0.65768500948766584, 0.36900695762175828, 1.0)\n",
      "(0.99304237824161923, 0.72662871600252998, 0.417583807716635, 1.0)\n",
      "(0.99430740037950671, 0.78987982289690062, 0.47071473750790632, 1.0)\n",
      "(0.99557242251739408, 0.85313092979127125, 0.5238456672991777, 1.0)\n",
      "(0.99683744465528146, 0.90196078431372539, 0.58456672991777336, 1.0)\n",
      "(0.99810246679316894, 0.94117647058823528, 0.65034788108791897, 1.0)\n",
      "(0.99936748893105631, 0.98039215686274506, 0.71612903225806446, 1.0)\n",
      "(0.9841872232764074, 0.99367488931056291, 0.72435167615433271, 1.0)\n",
      "(0.95256166982922208, 0.98102466793168885, 0.67501581277672362, 1.0)\n",
      "(0.92093611638203687, 0.96837444655281479, 0.62567994939911475, 1.0)\n",
      "(0.87210626185958262, 0.94864010120177111, 0.60215053763440862, 1.0)\n",
      "(0.7974699557242253, 0.91827956989247317, 0.61733080328905754, 1.0)\n",
      "(0.72283364958886798, 0.88791903858317534, 0.63251106894370657, 1.0)\n",
      "(0.64440227703984843, 0.85641998734977876, 0.64351676154332704, 1.0)\n",
      "(0.55711574952561682, 0.82226438962681858, 0.64478178368121442, 1.0)\n",
      "(0.46982922201138533, 0.7881087919038583, 0.6460468058191019, 1.0)\n",
      "(0.38684376976597096, 0.74611005692599619, 0.65313092979127141, 1.0)\n",
      "(0.32106261859582574, 0.67273877292852657, 0.68349146110056913, 1.0)\n",
      "(0.25528146742568003, 0.5993674889310564, 0.71385199240986719, 1.0)\n",
      "(0.20164452877925351, 0.52612270714737519, 0.73776091081593942, 1.0)\n",
      "(0.25730550284629972, 0.45401644528779261, 0.70360531309297913, 1.0)\n",
      "(0.31296647691334595, 0.38191018342821004, 0.66944971537001896, 1.0)\n",
      "(0.36862745098039218, 0.30980392156862746, 0.63529411764705879, 1.0)\n",
      "(0.36862745098039218, 0.30980392156862746, 0.63529411764705879, 1.0)\n",
      "(0.36862745098039218, 0.30980392156862746, 0.63529411764705879, 1.0)\n",
      "(0.36862745098039218, 0.30980392156862746, 0.63529411764705879, 1.0)\n",
      "(0.36862745098039218, 0.30980392156862746, 0.63529411764705879, 1.0)\n"
     ]
    },
    {
     "data": {
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SUsBQJ0mSlAKGOkmSpBQw1EmSJKVAvpYnCyEcB3wSeAJwAPhgjPFjtWyDJEnSkcpmx8hk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1511b435940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.get_cmap('Spectral', 32)\n",
    "\n",
    "\n",
    "for cat in range(0,len(ComboCats)):\n",
    "    plt.scatter(ComboCats['Count'][cat],ComboCats['Downloads'][cat], c = colors(cat), label = ComboCats['Category'][cat])\n",
    "    print(colors(cat))\n",
    "\n",
    "\n",
    "# plt.scatter(ComboCats['Count'],ComboCats['Downloads'],c=ComboCats['Category'].ravel(), cmap=plt.cm.Paired) #Colored by category\n",
    "\n",
    "plt.title('Number of Apps vs Downloads')\n",
    "plt.xlabel('Apps Available')\n",
    "plt.ylabel('Downloads')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we can see that there is a weak correlation between an abundance of apps in one category and the amount of demand for those apps in terms of number of downloads."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}