EDA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "!source bin/activate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = pd.read_csv('data/train.csv')\n",
    "test = pd.read_csv('data/test.csv')\n",
    "songs = pd.read_csv('data/songs.csv')\n",
    "songs_meta = pd.read_csv('data/song_extra_info.csv')\n",
    "users = pd.read_csv('data/members.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((7377418, 6), (2556790, 6), (2296320, 7), (2295971, 3), (34403, 7))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape, test.shape, songs.shape, songs_meta.shape, users.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data Quality\n",
    "We start by looking at the quality of data in each of the tables, for each of the features. The height of the bar indicates the percentage of null/unknown values in each of the features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAB0cAAArWCAYAAAAOwdU0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQ1COAgAAAAAAAEP4L/n44va4cZ55AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b1085a70be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_null_distribution(ax, table, columns, filters, name):\n",
    "    count = table.shape[0]\n",
    "    values = []\n",
    "    \n",
    "    for (i, col) in enumerate(columns):\n",
    "        count_f = sum(table[col].isnull())\n",
    "        for f in filters[i]:\n",
    "            count_f += sum(table[col] == f)\n",
    "        values.append(100*count_f/float(count))\n",
    "        \n",
    "    n = len(columns)\n",
    "    p = ax.barh(range(n), values)\n",
    "    ax.set_title(name, fontdict={'fontsize': 25, 'fontweight': 'bold'})\n",
    "    ax.set_yticks(range(n))\n",
    "    ax.set_yticklabels(columns, size=15)\n",
    "    ax.set_xlim(0, 100)\n",
    "    ax.legend('% missing/unknown', fontsize=20)\n",
    "\n",
    "fg, axes = plt.subplots(5, 1, figsize=(30, 50), gridspec_kw  = {\"height_ratios\": [3, 3, 6, 1, 2]})\n",
    "plot_null_distribution(axes[0], train, ['source_system_tab', 'source_screen_name', 'source_type'],\n",
    "                       [['null'], ['Unknown'], []], 'train')\n",
    "\n",
    "plot_null_distribution(axes[1], test, ['source_system_tab', 'source_screen_name', 'source_type'],\n",
    "                       [['null'], ['Unknown'], []], 'test')\n",
    "\n",
    "plot_null_distribution(axes[2], songs, ['song_length', 'genre_ids', 'artist_name',\n",
    "                                        'composer', 'lyricist', 'language'],\n",
    "                       [[], [], [], [], [], []], 'songs')\n",
    "\n",
    "plot_null_distribution(axes[3], songs_meta, ['name'],\n",
    "                       [['unknown', 'Unknown']], 'song meta information')\n",
    "                        \n",
    "plot_null_distribution(axes[4], users, ['bd', 'gender'],\n",
    "                       [[], []], 'users')                "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Class Statistics\n",
    "\n",
    "We start by looking at all the features, the class distributions and the class distribution by each feature"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Feature distribution\n",
    "We first look into the distribution of different features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABNIAAARjCAYAAACqmQkDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABAg5AGAAAAAA1CGgAAAAA0/ATItO0pq1/iLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b1085a719e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_distribution(col, ax):\n",
    "    groupby = train.groupby(col)[col].count()\n",
    "    labels= groupby.keys()\n",
    "    values = groupby.values\n",
    "    ax.axis('equal')\n",
    "    ax.pie(values, labels=labels)\n",
    "    ax.set_title(col, fontdict={'fontsize': 16, 'fontweight': 'bold'})\n",
    "    \n",
    "fg, axes = plt.subplots(2, 2, figsize=(20, 20))\n",
    "\n",
    "plot_distribution('target', axes[0, 0])\n",
    "plot_distribution('source_system_tab', axes[0, 1])\n",
    "plot_distribution('source_screen_name', axes[1, 0])\n",
    "plot_distribution('source_type', axes[1, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Factors affecting class distribution\n",
    "Here, we look at how each of the features affects the distribution of the target variables. We will look at histograms, with each column corresponding to a value of the feature. The height is proportional to the raw count of the feature values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABQwAAAR3CAYAAACyiCm0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10ac8a6470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_predictive_power(ax, col):\n",
    "    t = train.groupby([col, 'target']).size().reset_index(name='counts')\n",
    "    labels = t[col].unique()\n",
    "    positive = t['counts'][t['target']==1].values\n",
    "    negative = t['counts'][t['target']==0].values\n",
    "    total = positive+negative\n",
    "    positive, negative = positive/total, negative/total\n",
    "\n",
    "    n = labels.shape[0]\n",
    "    p1 = ax.barh(range(n), positive)\n",
    "    p2 = ax.barh(range(n), negative, left = positive)\n",
    "    ax.set_title(col, fontdict={'fontsize': 25, 'fontweight': 'bold'})\n",
    "    ax.set_yticks(range(n))\n",
    "    ax.set_yticklabels(labels, size=15)\n",
    "    ax.legend((p1[0], p2[0]), (1, 0), fontsize=20)\n",
    "    \n",
    "fg, axes = plt.subplots(3, 1, figsize=(20, 20))\n",
    "plot_predictive_power(axes[0], 'source_system_tab')\n",
    "plot_predictive_power(axes[1], 'source_screen_name')\n",
    "plot_predictive_power(axes[2], 'source_type')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we would expect, a song which is played from local playlist is listened to again more than 60% of the time. Whereas those heard from the radio have the least (20%) likely to be listened to again. An interesting feature of KKBox, \"listen with\" allows the user to listen to a song a friend or a celebrity is listening to while chatting with them. Songs introduced to the user via \"listen with\" are repeated only 30% of the time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Song Statistics\n",
    "\n",
    "We now look at the songs and songs_meta tables. We start by looking into the different columns present in the songs table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      2 THE EXTREME,Master Chief & iLLest Game,,52\\...\n",
       "1      2 THE EXTREME,Master Chief & iLLest Game,,52\\...\n",
       "2                                                 !Conz\n",
       "3                                            !Creekside\n",
       "4                                             !Dela Dap\n",
       "5                                                 !Dris\n",
       "6                                              !Estevan\n",
       "7                                            !Fuckyeah!\n",
       "8                               !NTELLIGENT Electro Pop\n",
       "9                          !Ntell!Gent Des!Gn| DJ Shoba\n",
       "10                                                  !a!\n",
       "11                                             !distain\n",
       "12                                              !llmind\n",
       "13                                             !magnic!\n",
       "14                                          !mindparade\n",
       "15                                                #####\n",
       "16                                                   #$\n",
       "17                              #01.A.1948 (#01.A.1948)\n",
       "18                                          #037 (#037)\n",
       "19                                                   #1\n",
       "20                                       #1 Beatles Now\n",
       "21                                         #1 Club Hits\n",
       "22                #1 Club Hits - Best Of Dance & Techno\n",
       "23    #1 Club Hits 2010 - Best Of Dance Techno (50 T...\n",
       "24           #1 Club Hits 2011 - Best Of Dance & Techno\n",
       "25    #1 Club Hits 2012 - Best of Dance| House| Elec...\n",
       "26                         #1 Country All-Star Ensemble\n",
       "27                                    #1 Country Heroes\n",
       "28                         #1 Country Instrumental Hits\n",
       "29                                             #1 Crush\n",
       "dtype: object"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(songs.artist_name.sort_values(inplace=False).unique())[:30]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are lots of values in the artist_name column which are very similar to each other. For example, the first two values actually refer to the same entity. Therefore, in order to denoise the artist names, we need to find a good way of mapping these different variations of the same entity into a unique entity. Similarly, we might want to check other columns as well"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0                                                 \u0003伍樂城\n",
       "1                                              \\tBEGIN\n",
       "2                                               \\tmaya\n",
       "3                                                \\tゆきみ\n",
       "4                                   \\tエドワード･ウィリアム・エルガー\n",
       "5                                               \\t加藤裕介\n",
       "6                                               \\t村井邦彦\n",
       "7                                       \\tＳＨＯＴＡ　ＫＡＮＥＫＯ\n",
       "8                                                     \n",
       "9                                           A Hawkshaw\n",
       "10                                       Alan Hawkshaw\n",
       "11                                  Andre Tanneberger \n",
       "12                Anna Lidner+Charles Kwashie tamakloe\n",
       "13                          Bach arr. Jonathan Starkey\n",
       "14                                        Bill Le Sage\n",
       "15                         Bill Martin / Phil Coulter \n",
       "16                                              C Hall\n",
       "17     Chinese Lyrics by 黄贞颖 Annakid (0%) Kim Jin Hwan\n",
       "18                                        Daniel Teper\n",
       "19                                      Danny Fromajio\n",
       "dtype: object"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(songs.composer.sort_values(inplace=False).unique())[:20]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, we see tat a lot of artist names have been combined using | symbol. Mixed cases, and the '\\t' character in the beginning all contribute to minor variations in the names of each entity. Another example - \"A Hawkshaw\" vs \"Alan Hawkshaw\". Can we use some automated way, such as wikipedia, google or a pretrained NER system to normalize these entities?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0                                                      \n",
       "1                             Al Stillman|Robert Allen \n",
       "2                                            Bank Clash\n",
       "3                         Bruno Martino|Bruno Brighetti\n",
       "4                                             Don Black\n",
       "5                                        HIROAKI HAYAMA\n",
       "6                                             Ivan Lins\n",
       "7      Korean Lyrics by 100%SEOJUNG (12.5%) Albi Alb...\n",
       "8      Korean Lyrics by Cho| Yun Kyoung (12.5%) Albi...\n",
       "9      Korean Lyrics by Cho| Yun Kyoung (12.5%) Comm...\n",
       "10     Korean Lyrics by Cho| Yun Kyoung (12.5%) Paul...\n",
       "11     Korean Lyrics by Cho| Yun Kyoung (5%) / Janua...\n",
       "12     Korean Lyrics by JQ (3%) / Seo Lim (8%) / Gi|...\n",
       "13     Korean Lyrics by JQ (4.5%) / Seo Lim (3%) / C...\n",
       "14     Korean Lyrics by Kim| Ea Na (10%) / MC META (...\n",
       "15     Korean Lyrics by Kim| In Hyeong (12.5%) Andre...\n",
       "16     Korean Lyrics by Kim| In Hyeong (12.5%) Will ...\n",
       "17     Korean Lyrics by Kim| Jong Hyun (12.5%) Greg ...\n",
       "18     Korean Lyrics by Kim| Min Jeong (12.5%) Andre...\n",
       "19     Korean Lyrics by Lee| Chae Yoon (10%) Teddy R...\n",
       "dtype: object"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(songs.lyricist.sort_values(inplace=False).unique())[:20]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Same is the issue with lyricst column. Morevoer, as we see from the data quality graphs, lyricist and composer columns have lots of missing data. Maybe we can discard these two columns initially and use it later when we are looking to boost the accuracy scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABrUAAAJCCAYAAABu7kxiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAADMnqYWAAAAAAAAs/f/OJB88IRUO/kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b1085a71438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(30, 10))\n",
    "song_lengths = songs.song_length.sort_values(inplace=False)/1000.0\n",
    "plt.hist(song_lengths, bins=1000)\n",
    "plt.xlim(0, max(song_lengths))\n",
    "plt.yscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now this looks interesting. Notice the standalone towers after 3000, these are caused by extraordinarily long songs. Might be a good idea to clip them?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABr4AAAJCCAYAAACWDreVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAIyCxhcAAAAAAACj8H9ap/co4pzdlAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10ab6b5160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(30, 10))\n",
    "plt.yscale('log')\n",
    "plt.hist(song_lengths.clip(0, 3000), bins=1000)\n",
    "plt.xlim(0, 3500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fortunately, we have only 11 languages to deal with!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "languages = songs.groupby('language').size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "language\n",
       "-1.0      639467\n",
       " 3.0      106295\n",
       " 10.0      15482\n",
       " 17.0      92518\n",
       " 24.0      41744\n",
       " 31.0      39201\n",
       " 38.0       2385\n",
       " 45.0      14435\n",
       " 52.0    1336694\n",
       " 59.0       8098\n",
       "dtype: int64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "languages"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It looks like language==-1 are missing/unknown values. Indeed, if we look at the types of songs below, we see no common language among those with language id -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>song_id</th>\n",
       "      <th>song_length</th>\n",
       "      <th>genre_ids</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>composer</th>\n",
       "      <th>lyricist</th>\n",
       "      <th>language</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>fAZLdfQaLG76a6Ei4alt1eSjBM9rshQkiQEC6+n+y08=</td>\n",
       "      <td>180871</td>\n",
       "      <td>726</td>\n",
       "      <td>Littlesong</td>\n",
       "      <td>Michael William Balfe</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>JcHIgDP5ivyqYIn7RxfXM13eWwOzcoxkWosSauz6RbU=</td>\n",
       "      <td>374027</td>\n",
       "      <td>726</td>\n",
       "      <td>White Noise</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>+dOlHQGlsiHPbG1cMYsoFVsAi05YgsGfeEzsdS16yec=</td>\n",
       "      <td>368441</td>\n",
       "      <td>1609</td>\n",
       "      <td>Marvin Gaye &amp; Kygo</td>\n",
       "      <td>Marvin Gaye| Odell Brown| David Ritz</td>\n",
       "      <td>Marvin Gaye| Odell Brown| David Ritz</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>/pNJtPeT5RixL9cwAScQ83XG6lzNjQbxXdz9Bxm3UCk=</td>\n",
       "      <td>954851</td>\n",
       "      <td>873</td>\n",
       "      <td>蘇曼竹巴仁波切</td>\n",
       "      <td>公版</td>\n",
       "      <td>公版</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>vLLKr+iN+vepbTD6W2kDXHvuqmGiXGdXRRHLjRp0pCQ=</td>\n",
       "      <td>300257</td>\n",
       "      <td>873</td>\n",
       "      <td>原力歌手</td>\n",
       "      <td>王苒馨</td>\n",
       "      <td>公版</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>m86acAJ3Bj2fL+4vbwWPHmOlrxF1Bk9F34/6kj5JpjI=</td>\n",
       "      <td>293511</td>\n",
       "      <td>786|947</td>\n",
       "      <td>寶寶水晶音樂</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>vBICG1rGbS2Cfj+/bAQFb+5IYVKhdLOGcnN3nlel728=</td>\n",
       "      <td>38359</td>\n",
       "      <td>726</td>\n",
       "      <td>50 Best Children's Classics</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>I/La/znX36CnxSjgTQZnz5G/q9Xf02TMY5oPnRkzSjE=</td>\n",
       "      <td>270048</td>\n",
       "      <td>2122</td>\n",
       "      <td>Kenny G</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>oO+abG+WVeSmJlb9LLUZlg9GiCFuZ+AsMEGVlR33BFg=</td>\n",
       "      <td>330884</td>\n",
       "      <td>786|947</td>\n",
       "      <td>李欣芸 (CinCin Lee)</td>\n",
       "      <td>許嫚烜</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>skCaG6fywLmpJaTNeqL89sis3vUydYzd+HLnBy9DsiE=</td>\n",
       "      <td>199645</td>\n",
       "      <td>1609|2107</td>\n",
       "      <td>David Guetta</td>\n",
       "      <td>David Guetta| Giorgio H. Tuinfort</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>1Lr/g+TgtSdEO5mGmjGu8vGIYkMOWKACfffcilKRwKM=</td>\n",
       "      <td>306050</td>\n",
       "      <td>481</td>\n",
       "      <td>Angel MaMA Story Teller</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>fNGZRz2UaLIawcpDNoGPxI5xOVi/Qp7WOSuLIlU/YJM=</td>\n",
       "      <td>201247</td>\n",
       "      <td>786</td>\n",
       "      <td>水晶鋼琴</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>Wy3ET/ed33iIFMp1XSWIfrGRv8qRw0ohmbXVVG2Nh2o=</td>\n",
       "      <td>146599</td>\n",
       "      <td>1152</td>\n",
       "      <td>Deep Sleep Music Club</td>\n",
       "      <td>Johann Pachelbel</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>/ZnGVF4G2OFL7A6DPMPmRp+NpXEGIQxvzXbpqCX8W54=</td>\n",
       "      <td>264211</td>\n",
       "      <td>940</td>\n",
       "      <td>Yiruma</td>\n",
       "      <td>Yiruma</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>Y/mDKva8E8qq2f3QKjDczC4grAenS7/rLKbgTgsEk2o=</td>\n",
       "      <td>190914</td>\n",
       "      <td>786</td>\n",
       "      <td>和風輕音樂</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>iMnukgmQGKejxfhMaCAewvqziHqCMHO8kXIt9x/8zfg=</td>\n",
       "      <td>145635</td>\n",
       "      <td>465</td>\n",
       "      <td>Natalie Cole</td>\n",
       "      <td>Harold Arlen| Milton Delugg</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>Nr6bJsYruX4KZR6DE2x36n72kSAYwSUIhWheMZFlhAU=</td>\n",
       "      <td>299781</td>\n",
       "      <td>786</td>\n",
       "      <td>宮崎駿映畫名曲集</td>\n",
       "      <td>Man Arai| Kyouko Saimori</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>S4DaoE/w3tfoRxB+0y91LWZpHA6vFTbw4eUJmeZlpok=</td>\n",
       "      <td>236286</td>\n",
       "      <td>1082</td>\n",
       "      <td>林淑容</td>\n",
       "      <td>佚名</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>6HSib7KzfFcEGZhRn79pEONbiw61Kfyz+C3fWXJMZCc=</td>\n",
       "      <td>247013</td>\n",
       "      <td>545</td>\n",
       "      <td>小童話大世界</td>\n",
       "      <td>幼福文化</td>\n",
       "      <td>幼福文化</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>gAYwEsWjAlbCmB6wJcAg76KyunKUHih5DQULVgpgXxw=</td>\n",
       "      <td>247756</td>\n",
       "      <td>947</td>\n",
       "      <td>For the Little One</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          song_id  song_length  genre_ids  \\\n",
       "12   fAZLdfQaLG76a6Ei4alt1eSjBM9rshQkiQEC6+n+y08=       180871        726   \n",
       "18   JcHIgDP5ivyqYIn7RxfXM13eWwOzcoxkWosSauz6RbU=       374027        726   \n",
       "28   +dOlHQGlsiHPbG1cMYsoFVsAi05YgsGfeEzsdS16yec=       368441       1609   \n",
       "44   /pNJtPeT5RixL9cwAScQ83XG6lzNjQbxXdz9Bxm3UCk=       954851        873   \n",
       "54   vLLKr+iN+vepbTD6W2kDXHvuqmGiXGdXRRHLjRp0pCQ=       300257        873   \n",
       "61   m86acAJ3Bj2fL+4vbwWPHmOlrxF1Bk9F34/6kj5JpjI=       293511    786|947   \n",
       "81   vBICG1rGbS2Cfj+/bAQFb+5IYVKhdLOGcnN3nlel728=        38359        726   \n",
       "83   I/La/znX36CnxSjgTQZnz5G/q9Xf02TMY5oPnRkzSjE=       270048       2122   \n",
       "89   oO+abG+WVeSmJlb9LLUZlg9GiCFuZ+AsMEGVlR33BFg=       330884    786|947   \n",
       "93   skCaG6fywLmpJaTNeqL89sis3vUydYzd+HLnBy9DsiE=       199645  1609|2107   \n",
       "109  1Lr/g+TgtSdEO5mGmjGu8vGIYkMOWKACfffcilKRwKM=       306050        481   \n",
       "116  fNGZRz2UaLIawcpDNoGPxI5xOVi/Qp7WOSuLIlU/YJM=       201247        786   \n",
       "131  Wy3ET/ed33iIFMp1XSWIfrGRv8qRw0ohmbXVVG2Nh2o=       146599       1152   \n",
       "141  /ZnGVF4G2OFL7A6DPMPmRp+NpXEGIQxvzXbpqCX8W54=       264211        940   \n",
       "144  Y/mDKva8E8qq2f3QKjDczC4grAenS7/rLKbgTgsEk2o=       190914        786   \n",
       "147  iMnukgmQGKejxfhMaCAewvqziHqCMHO8kXIt9x/8zfg=       145635        465   \n",
       "152  Nr6bJsYruX4KZR6DE2x36n72kSAYwSUIhWheMZFlhAU=       299781        786   \n",
       "158  S4DaoE/w3tfoRxB+0y91LWZpHA6vFTbw4eUJmeZlpok=       236286       1082   \n",
       "171  6HSib7KzfFcEGZhRn79pEONbiw61Kfyz+C3fWXJMZCc=       247013        545   \n",
       "183  gAYwEsWjAlbCmB6wJcAg76KyunKUHih5DQULVgpgXxw=       247756        947   \n",
       "\n",
       "                     artist_name                              composer  \\\n",
       "12                    Littlesong                 Michael William Balfe   \n",
       "18                   White Noise                                   NaN   \n",
       "28            Marvin Gaye & Kygo  Marvin Gaye| Odell Brown| David Ritz   \n",
       "44                       蘇曼竹巴仁波切                                    公版   \n",
       "54                          原力歌手                                   王苒馨   \n",
       "61                        寶寶水晶音樂                                   NaN   \n",
       "81   50 Best Children's Classics                                   NaN   \n",
       "83                       Kenny G                                   NaN   \n",
       "89              李欣芸 (CinCin Lee)                                   許嫚烜   \n",
       "93                  David Guetta     David Guetta| Giorgio H. Tuinfort   \n",
       "109      Angel MaMA Story Teller                                   NaN   \n",
       "116                         水晶鋼琴                                   NaN   \n",
       "131        Deep Sleep Music Club                      Johann Pachelbel   \n",
       "141                       Yiruma                                Yiruma   \n",
       "144                        和風輕音樂                                   NaN   \n",
       "147                 Natalie Cole           Harold Arlen| Milton Delugg   \n",
       "152                     宮崎駿映畫名曲集              Man Arai| Kyouko Saimori   \n",
       "158                          林淑容                                    佚名   \n",
       "171                       小童話大世界                                  幼福文化   \n",
       "183           For the Little One                                   NaN   \n",
       "\n",
       "                                 lyricist  language  \n",
       "12                                    NaN      -1.0  \n",
       "18                                    NaN      -1.0  \n",
       "28   Marvin Gaye| Odell Brown| David Ritz      -1.0  \n",
       "44                                     公版      -1.0  \n",
       "54                                     公版      -1.0  \n",
       "61                                    NaN      -1.0  \n",
       "81                                    NaN      -1.0  \n",
       "83                                    NaN      -1.0  \n",
       "89                                    NaN      -1.0  \n",
       "93                                    NaN      -1.0  \n",
       "109                                   NaN      -1.0  \n",
       "116                                   NaN      -1.0  \n",
       "131                                   NaN      -1.0  \n",
       "141                                   NaN      -1.0  \n",
       "144                                   NaN      -1.0  \n",
       "147                                   NaN      -1.0  \n",
       "152                                   NaN      -1.0  \n",
       "158                                   NaN      -1.0  \n",
       "171                                  幼福文化      -1.0  \n",
       "183                                   NaN      -1.0  "
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "songs[songs['language']==-1].head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not so if we look into some other language id, for example 52, which is possibly english, since it has a large count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>song_id</th>\n",
       "      <th>song_length</th>\n",
       "      <th>genre_ids</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>composer</th>\n",
       "      <th>lyricist</th>\n",
       "      <th>language</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>W3bqWd3T+VeHFzHAUfARgW9AvVRaF4N5Yzm4Mr6Eo/o=</td>\n",
       "      <td>140329</td>\n",
       "      <td>726</td>\n",
       "      <td>貴族精選</td>\n",
       "      <td>Traditional</td>\n",
       "      <td>Traditional</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>btcG03OHY3GNKWccPP0auvtSbhxog/kllIIOx5grE/k=</td>\n",
       "      <td>232629</td>\n",
       "      <td>352|1995</td>\n",
       "      <td>Kodaline</td>\n",
       "      <td>Stephen Garrigan| Mark Prendergast| Vincent Ma...</td>\n",
       "      <td>Stephen Garrigan| Mark Prendergast| Vincent Ma...</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>an6EdIr+Z+KbqIVQiXn5PKkcXncefQ7hhWONseRuub4=</td>\n",
       "      <td>282697</td>\n",
       "      <td>359</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>Chris Martin| Guy Berryman| Jonny Buckland| Mi...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>J2MFmy8iF94mExWfRWE3KxsMZB+ZIedV5liqZoSrERQ=</td>\n",
       "      <td>221518</td>\n",
       "      <td>359</td>\n",
       "      <td>Maggie Rogers</td>\n",
       "      <td>Maggie Rogers| Nicholas Das</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>IV8kTOBKcUoO4fINEi+VTYzr7TdyM/kin+gapgzygco=</td>\n",
       "      <td>228993</td>\n",
       "      <td>465</td>\n",
       "      <td>Katy Perry</td>\n",
       "      <td>Katy Perry| Max Martin| Lukasz Gottwald| Henry...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>bTM25FJNlCHnltU0hhQDFAzdnOYsobmfCwwAnN1K2a8=</td>\n",
       "      <td>430080</td>\n",
       "      <td>1609</td>\n",
       "      <td>Danny Marquez &amp; Ferry B</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>+M/yM08pYwOznHRvf9Aj95A9M85wn4/jsTX0ye1KR2c=</td>\n",
       "      <td>281054</td>\n",
       "      <td>139</td>\n",
       "      <td>The Weeknd</td>\n",
       "      <td>Abel Tesfaye| Timothy Mckenzie| Carlo Montagnese</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>uHSNhmCD4V7IglA225OelhM+HreWIjFdE+nf3NicFOU=</td>\n",
       "      <td>394739</td>\n",
       "      <td>1609</td>\n",
       "      <td>Pet Shop Boys</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>NV9HhUzyK50tGvxb3w0PdZoaw3Ypp86XDmmMr0vgFdg=</td>\n",
       "      <td>262749</td>\n",
       "      <td>139</td>\n",
       "      <td>John Legend</td>\n",
       "      <td>John Stephens</td>\n",
       "      <td>John Stephens</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>OLnB6amnCTMEz5KxrV7pdkXJWB+fnMoWVJSzv2AlBLk=</td>\n",
       "      <td>236355</td>\n",
       "      <td>465</td>\n",
       "      <td>Westlife</td>\n",
       "      <td>Bettis| Hammond</td>\n",
       "      <td>Bettis| Hammond</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>aoojHrvDew9JNvFIVh9b7DQtdCIk44GwF6hrvjl+Eb0=</td>\n",
       "      <td>299816</td>\n",
       "      <td>139</td>\n",
       "      <td>Mary J. Blige</td>\n",
       "      <td>Mary J. Blige| Charles Hinshaw Jr| Brandon Ale...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>SpfSYkFYITvbQNXXtTSIWmpJLcYrnhg0oMq5g/9MM4U=</td>\n",
       "      <td>136907</td>\n",
       "      <td>1955</td>\n",
       "      <td>Motörhead</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>8fGQPXFKMW+0O4VMCbU8H6jUDeeRJerCvk++yjXcztM=</td>\n",
       "      <td>111966</td>\n",
       "      <td>465</td>\n",
       "      <td>Schnappi(Joy)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>rdNg0FiLBStCei8h1/h2kwv8IS97ZgONQkb/kXGAvqM=</td>\n",
       "      <td>236329</td>\n",
       "      <td>1011</td>\n",
       "      <td>Brett Eldredge</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>dreY/kjMvCt9eb1J37gtistePo+3djW1+GeNz2oRQc4=</td>\n",
       "      <td>193004</td>\n",
       "      <td>465</td>\n",
       "      <td>Lorde</td>\n",
       "      <td>Joel Little| Ella Yelich O'Connor</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>XqkttTMBlP95mxqAosrJkwkPGYlKHKnWjfMwfnINZBk=</td>\n",
       "      <td>224757</td>\n",
       "      <td>2022</td>\n",
       "      <td>ONE OK ROCK</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>9TxeC10erd6a5ATnCa57MLZrTkgNgG7zbJaHJryURFg=</td>\n",
       "      <td>268561</td>\n",
       "      <td>2122</td>\n",
       "      <td>Diana Krall</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>7+fRD95hiSFVW77AcaGk9asl9JBkQ7uXoeKqBltRdFg=</td>\n",
       "      <td>232756</td>\n",
       "      <td>359</td>\n",
       "      <td>Kaiser Chiefs</td>\n",
       "      <td>Ricky Wilson| Simon Rix| Nick Baines| Vijay Mi...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>7HZRpauo3ediOwo5NUyJEFaybOpu/9FLdOskLIBwi70=</td>\n",
       "      <td>176170</td>\n",
       "      <td>1609</td>\n",
       "      <td>Martin Garrix</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>rLg7/aiyuauJqbKNpezNf4+uZ+nbIxidLppkDqITjjo=</td>\n",
       "      <td>242602</td>\n",
       "      <td>1609</td>\n",
       "      <td>電音E帝國</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>52.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                         song_id  song_length genre_ids  \\\n",
       "4   W3bqWd3T+VeHFzHAUfARgW9AvVRaF4N5Yzm4Mr6Eo/o=       140329       726   \n",
       "9   btcG03OHY3GNKWccPP0auvtSbhxog/kllIIOx5grE/k=       232629  352|1995   \n",
       "14  an6EdIr+Z+KbqIVQiXn5PKkcXncefQ7hhWONseRuub4=       282697       359   \n",
       "15  J2MFmy8iF94mExWfRWE3KxsMZB+ZIedV5liqZoSrERQ=       221518       359   \n",
       "20  IV8kTOBKcUoO4fINEi+VTYzr7TdyM/kin+gapgzygco=       228993       465   \n",
       "24  bTM25FJNlCHnltU0hhQDFAzdnOYsobmfCwwAnN1K2a8=       430080      1609   \n",
       "27  +M/yM08pYwOznHRvf9Aj95A9M85wn4/jsTX0ye1KR2c=       281054       139   \n",
       "33  uHSNhmCD4V7IglA225OelhM+HreWIjFdE+nf3NicFOU=       394739      1609   \n",
       "35  NV9HhUzyK50tGvxb3w0PdZoaw3Ypp86XDmmMr0vgFdg=       262749       139   \n",
       "39  OLnB6amnCTMEz5KxrV7pdkXJWB+fnMoWVJSzv2AlBLk=       236355       465   \n",
       "42  aoojHrvDew9JNvFIVh9b7DQtdCIk44GwF6hrvjl+Eb0=       299816       139   \n",
       "48  SpfSYkFYITvbQNXXtTSIWmpJLcYrnhg0oMq5g/9MM4U=       136907      1955   \n",
       "49  8fGQPXFKMW+0O4VMCbU8H6jUDeeRJerCvk++yjXcztM=       111966       465   \n",
       "51  rdNg0FiLBStCei8h1/h2kwv8IS97ZgONQkb/kXGAvqM=       236329      1011   \n",
       "52  dreY/kjMvCt9eb1J37gtistePo+3djW1+GeNz2oRQc4=       193004       465   \n",
       "56  XqkttTMBlP95mxqAosrJkwkPGYlKHKnWjfMwfnINZBk=       224757      2022   \n",
       "58  9TxeC10erd6a5ATnCa57MLZrTkgNgG7zbJaHJryURFg=       268561      2122   \n",
       "60  7+fRD95hiSFVW77AcaGk9asl9JBkQ7uXoeKqBltRdFg=       232756       359   \n",
       "63  7HZRpauo3ediOwo5NUyJEFaybOpu/9FLdOskLIBwi70=       176170      1609   \n",
       "65  rLg7/aiyuauJqbKNpezNf4+uZ+nbIxidLppkDqITjjo=       242602      1609   \n",
       "\n",
       "                artist_name  \\\n",
       "4                      貴族精選   \n",
       "9                  Kodaline   \n",
       "14                 Coldplay   \n",
       "15            Maggie Rogers   \n",
       "20               Katy Perry   \n",
       "24  Danny Marquez & Ferry B   \n",
       "27               The Weeknd   \n",
       "33            Pet Shop Boys   \n",
       "35              John Legend   \n",
       "39                 Westlife   \n",
       "42            Mary J. Blige   \n",
       "48                Motörhead   \n",
       "49            Schnappi(Joy)   \n",
       "51           Brett Eldredge   \n",
       "52                    Lorde   \n",
       "56              ONE OK ROCK   \n",
       "58              Diana Krall   \n",
       "60            Kaiser Chiefs   \n",
       "63            Martin Garrix   \n",
       "65                    電音E帝國   \n",
       "\n",
       "                                             composer  \\\n",
       "4                                         Traditional   \n",
       "9   Stephen Garrigan| Mark Prendergast| Vincent Ma...   \n",
       "14  Chris Martin| Guy Berryman| Jonny Buckland| Mi...   \n",
       "15                        Maggie Rogers| Nicholas Das   \n",
       "20  Katy Perry| Max Martin| Lukasz Gottwald| Henry...   \n",
       "24                                                NaN   \n",
       "27   Abel Tesfaye| Timothy Mckenzie| Carlo Montagnese   \n",
       "33                                                NaN   \n",
       "35                                      John Stephens   \n",
       "39                                    Bettis| Hammond   \n",
       "42  Mary J. Blige| Charles Hinshaw Jr| Brandon Ale...   \n",
       "48                                                NaN   \n",
       "49                                                NaN   \n",
       "51                                                NaN   \n",
       "52                  Joel Little| Ella Yelich O'Connor   \n",
       "56                                                NaN   \n",
       "58                                                NaN   \n",
       "60  Ricky Wilson| Simon Rix| Nick Baines| Vijay Mi...   \n",
       "63                                                NaN   \n",
       "65                                                NaN   \n",
       "\n",
       "                                             lyricist  language  \n",
       "4                                         Traditional      52.0  \n",
       "9   Stephen Garrigan| Mark Prendergast| Vincent Ma...      52.0  \n",
       "14                                                NaN      52.0  \n",
       "15                                                NaN      52.0  \n",
       "20                                                NaN      52.0  \n",
       "24                                                NaN      52.0  \n",
       "27                                                NaN      52.0  \n",
       "33                                                NaN      52.0  \n",
       "35                                      John Stephens      52.0  \n",
       "39                                    Bettis| Hammond      52.0  \n",
       "42                                                NaN      52.0  \n",
       "48                                                NaN      52.0  \n",
       "49                                                NaN      52.0  \n",
       "51                                                NaN      52.0  \n",
       "52                                                NaN      52.0  \n",
       "56                                                NaN      52.0  \n",
       "58                                                NaN      52.0  \n",
       "60                                                NaN      52.0  \n",
       "63                                                NaN      52.0  \n",
       "65                                                NaN      52.0  "
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "songs[songs['language']==52].head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We spot checked a few isrc numbers in songs_meta table, however it appears that these numbers are not very reliable. I looked up a few isrc databases and some of them recognized some of the id's others didn't."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['  1. Boom (Dimitri Vangelis & Wyman Remix (Radio Edit))',\n",
       "       \" 'Che farò' from Orfeo ed Euridice (b)\",\n",
       "       ' (Don’t Call Me) Mrs Christmas',\n",
       "       ' (Je Ne Veux Plus Etre) Ta Reine (Jame Lewis Monster Phunk Mix)(Hanna Hais)',\n",
       "       ' ...und ganz doll a cappella (A-Cappella-Version) ',\n",
       "       ' 24karats –type S-(與放浪兄弟EXILE、DOBELMAN合作超跳嘻哈單曲)',\n",
       "       ' 8 Humoresques Humoresque in G Major| Op. 101',\n",
       "       ' A Foreboding Sky',\n",
       "       ' A Gentle Dissolve (Shawn Lee Ping Pong Orchestra Remix)(Thievery Corporation)',\n",
       "       ' A Miles ', ' A-CHA',\n",
       "       ' About Love (Bearweasels Linear Dub) (Bearweasels Linear Dub) ',\n",
       "       ' Adicto ', ' Andromeda (Original Mix)', ' Angel Of Mine - La',\n",
       "       ' Apollo Road (Patric La Funk Remix)',\n",
       "       ' Asia River (2010 New Edit) (DJ Code) ',\n",
       "       ' Ayla (Original DJ Taucher Mix)', ' Back From Where I Started',\n",
       "       ' Bad Bad You| Bad Bad Me '], dtype=object)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "songs_meta.name.sort_values(inplace=False).unique()[:20]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, with the song names, I see a lot of scopre for normalization exists. For example many of them have a leading space character. There are multiple versions of the same song. However, can we club different versions of the same song? Won't they correspond to slightly different style of music?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# User Statistics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we need to check how many users are there each in train and test, and how many users in test have a history in the training dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(30755, 25131, 21483)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(set(train.msno.values)), len(set(test.msno.values)), len(set(train.msno.values) & set(test.msno.values))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there are about 4k users for which we have absolutely no history. For such users the guess has to be made entirely based on the song's' history. (cold start!)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Lets now look at the stats of the demographic information of the users provided."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABJQAAAJQCAYAAADYAz7dAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3X+sZ+V9H/j3p0xCaRIcDFNEZnAHLyRZzKbjMqJ0U3vd\nkKxpEgXctZ1B20BSCnHxZuONVxGk0jrtCtW0TWiQaiJiCOC1sSnYAm1CG4rduKkKzsVhzQ+berBx\nmOkYxmBD0tgk4M/+cZ8bf5kM3Dn3fu/cO/B6SUff5/t5znO+z5E4zPDmnOdUdwcAAAAADtZfWu8J\nAAAAAHB4ESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAABWqKqur6oe27YV\njH/TzPjr5z5BAIA1IlACAAAAYBKBEgAAAACTCJQAAObjr1bVB6vqa1X1R1V1c1WdsNRZVd9TVbdU\n1R9X1ZNVdXWS71rH+QIArNim9Z4AAMDLxMeSfM/M97cl+R+q6vQkneSuJN8/+r4jyTuSnHNIZwgA\nMCfuUAIAmI8vJflrSbYm+U+j9v1J/mGS8/OtMOnusc/JSb52iOcIADAXAiUAgPl4T3f/YXfvSfJP\nZuo/kuSHZr7/s+7e092PJPmVQzpDAIA58cgbAMB8/OGLtI9L8t9mvu9+kTYAwGHDHUoAAPPxmhdp\nf2VsS7a+SBsA4LAhUAIAmI/3VNXWqtqS5D0z9TuTfGLm+6VVtaWq/rsk7z6kMwQAmBOPvAEAzMdJ\nSR7br/a5JO/P4lve3pXFhbn/Vr71qNtXAgBwGHKHEgDAfLwlyYeSPJ3kj5PckuSHuvtPuvvrSX44\nyUezuJ7S15L8ZpKL1mmuAACrUt293nMAAAAA4DDiDiUAAAAAJhEoAQAAADCJQAkAAACASQRKAAAA\nAEyyab0nsFLHHXdcb9u2bb2nAQAAAPCyce+9936luzcvt99hGyht27YtCwsL6z0NAAAAgJeNqvrS\nweznkTcAAAAAJhEoAQAAADCJQAkAAACASQRKAAAAAEwiUAIAAABgEoESAAAAAJMsGyhV1YlV9Ymq\neqiqHqyqnx/1V1fVnVX1+fF5zMyYy6pqV1U9XFVvnqmfXlX3j76rqqpG/ciq+sio31NV2+Z/qgAA\nAADMw8HcofRcknd396lJzkzyzqo6NcmlSe7q7lOS3DW+Z/TtTPK6JGcneV9VHTGOdXWSi5KcMraz\nR/3CJF/t7pOTXJnkijmcGwAAAABrYNlAqbv3dvenR/uPknw2yZYk5yS5Yex2Q5JzR/ucJB/u7me7\n+4tJdiU5o6pOSHJ0d9/d3Z3kxv3GLB3rliRnLd29BAAAAMDGMmkNpfEo2uuT3JPk+O7eO7q+nOT4\n0d6S5LGZYbtHbcto719/wZjufi7J00mOPcDvX1xVC1W1sG/fvilTBwAAAGBONh3sjlX1nUluTfKu\n7n5m9gai7u6q6jWY3wt09zVJrkmSHTt2rPnvHc62XfpbB73vo+/9sTWcCQAAAPByc1B3KFXVt2Ux\nTPpgd390lB8fj7FlfD4x6nuSnDgzfOuo7Rnt/esvGFNVm5K8KsmTU08GAAAAgLV3MG95qyTXJvls\nd//qTNftSS4Y7QuS3DZT3zne3HZSFhff/tR4PO6ZqjpzHPP8/cYsHeutST4+1lkCAAAAYIM5mEfe\nfjDJTyW5v6ruG7VfSvLeJDdX1YVJvpTk7UnS3Q9W1c1JHsriG+Le2d3Pj3GXJLk+yVFJ7hhbshhY\nfaCqdiV5KotviQMAAABgA1o2UOru30vyYm9cO+tFxlye5PID1BeSnHaA+jeSvG25uQAAAACw/ia9\n5Q0AAAAABEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAw\niUAJAAAAgEkESgAAAABMIlACAAAAYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAA\nADCJQAkAAACASQRKAAAAAEwiUAIAAABgEoESAAAAAJMIlAAAAACYZNlAqaquq6onquqBmdpHquq+\nsT1aVfeN+raq+vpM36/PjDm9qu6vql1VdVVV1agfOY63q6ruqapt8z9NAAAAAOblYO5Quj7J2bOF\n7v7J7t7e3duT3JrkozPdjyz1dfc7ZupXJ7koySljWzrmhUm+2t0nJ7kyyRUrOhMAAAAADollA6Xu\n/mSSpw7UN+4yenuSm17qGFV1QpKju/vu7u4kNyY5d3Sfk+SG0b4lyVlLdy8BAAAAsPGsdg2lNyR5\nvLs/P1M7aTzu9rtV9YZR25Jk98w+u0dtqe+xJOnu55I8neTYA/1YVV1cVQtVtbBv375VTh0AAACA\nlVhtoHReXnh30t4krxmPwv1Ckg9V1dGr/I0/193XdPeO7t6xefPmeR0WAAAAgAk2rXRgVW1K8veS\nnL5U6+5nkzw72vdW1SNJvjfJniRbZ4ZvHbWMzxOT7B7HfFWSJ1c6LwAAAADW1mruUPrhJJ/r7j9/\nlK2qNlfVEaP92iwuvv2F7t6b5JmqOnOsj3R+ktvGsNuTXDDab03y8bHOEgAAAAAb0LKBUlXdlOQ/\nJ/m+qtpdVReOrp35i4txvzHJZ6rqviwusP2O7l5a0PuSJO9PsivJI0nuGPVrkxxbVbuy+Jjcpas4\nHwAAAADW2LKPvHX3eS9S/+kD1G5NcuuL7L+Q5LQD1L+R5G3LzQMAAACAjWG1i3IDAAAA8AojUAIA\nAABgEoESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJBEoAAAAATCJQ\nAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABM\nIlACAAAAYBKBEgAAAACTCJQAAAAAmGTZQKmqrquqJ6rqgZnaL1fVnqq6b2w/OtN3WVXtqqqHq+rN\nM/XTq+r+0XdVVdWoH1lVHxn1e6pq23xPEQAAAIB5Opg7lK5PcvYB6ld29/ax/XaSVNWpSXYmed0Y\n876qOmLsf3WSi5KcMralY16Y5KvdfXKSK5NcscJzAQAAAOAQWDZQ6u5PJnnqII93TpIPd/ez3f3F\nJLuSnFFVJyQ5urvv7u5OcmOSc2fG3DDatyQ5a+nuJQAAAAA2ntWsofRzVfWZ8UjcMaO2JcljM/vs\nHrUto71//QVjuvu5JE8nOfZAP1hVF1fVQlUt7Nu3bxVTBwAAAGClVhooXZ3ktUm2J9mb5FfmNqOX\n0N3XdPeO7t6xefPmQ/GTAAAAAOxnRYFSdz/e3c939zeT/EaSM0bXniQnzuy6ddT2jPb+9ReMqapN\nSV6V5MmVzAsAAACAtbeiQGmsibTkLUmW3gB3e5Kd481tJ2Vx8e1PdffeJM9U1ZljfaTzk9w2M+aC\n0X5rko+PdZYAAAAA2IA2LbdDVd2U5E1Jjquq3Unek+RNVbU9SSd5NMnPJkl3P1hVNyd5KMlzSd7Z\n3c+PQ12SxTfGHZXkjrElybVJPlBVu7K4+PfOeZwYAAAAAGtj2UCpu887QPnal9j/8iSXH6C+kOS0\nA9S/keRty80DAAAAgI1hNW95AwAAAOAVSKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJBEoA\nAAAATCJQAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkE\nSgAAAABMIlACAAAAYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACA\nSZYNlKrquqp6oqoemKn9i6r6XFV9pqo+VlXfPerbqurrVXXf2H59ZszpVXV/Ve2qqquqqkb9yKr6\nyKjfU1Xb5n+aAAAAAMzLwdyhdH2Ss/er3ZnktO7+gST/JcllM32PdPf2sb1jpn51kouSnDK2pWNe\nmOSr3X1ykiuTXDH5LAAAAAA4ZJYNlLr7k0me2q/2O9393Ph6d5KtL3WMqjohydHdfXd3d5Ibk5w7\nus9JcsNo35LkrKW7lwAAAADYeOaxhtI/SHLHzPeTxuNuv1tVbxi1LUl2z+yze9SW+h5LkhFSPZ3k\n2AP9UFVdXFULVbWwb9++OUwdAAAAgKlWFShV1T9O8lySD47S3iSv6e7tSX4hyYeq6ujVTfFbuvua\n7t7R3Ts2b948r8MCAAAAMMGmlQ6sqp9O8uNJzhqPsaW7n03y7GjfW1WPJPneJHvywsfito5axueJ\nSXZX1aYkr0ry5ErnBQAAAMDaWtEdSlV1dpJfTPIT3f0nM/XNVXXEaL82i4tvf6G79yZ5pqrOHOsj\nnZ/ktjHs9iQXjPZbk3x8KaACAAAAYONZ9g6lqropyZuSHFdVu5O8J4tvdTsyyZ1j/ey7xxvd3pjk\nn1bVnyX5ZpJ3dPfSgt6XZPGNcUdlcc2lpXWXrk3ygaralcXFv3fO5cwAAAAAWBPLBkrdfd4Byte+\nyL63Jrn1RfoWkpx2gPo3krxtuXkAAAAAsDHM4y1vAAAAALyCCJQAAAAAmESgBAAAAMAkAiUAAAAA\nJhEoAQAAADCJQAkAAACASQRKAAAAAEwiUAIAAABgEoESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAA\nAAAmESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIl\nAAAAACZZNlCqquuq6omqemCm9uqqurOqPj8+j5npu6yqdlXVw1X15pn66VV1/+i7qqpq1I+sqo+M\n+j1VtW2+pwgAAADAPB3MHUrXJzl7v9qlSe7q7lOS3DW+p6pOTbIzyevGmPdV1RFjzNVJLkpyytiW\njnlhkq9298lJrkxyxUpPBgAAAIC1t2yg1N2fTPLUfuVzktww2jckOXem/uHufra7v5hkV5IzquqE\nJEd3993d3Ulu3G/M0rFuSXLW0t1LAAAAAGw8K11D6fju3jvaX05y/GhvSfLYzH67R23LaO9ff8GY\n7n4uydNJjj3Qj1bVxVW1UFUL+/btW+HUAQAAAFiNVS/KPe446jnM5WB+65ru3tHdOzZv3nwofhIA\nAACA/aw0UHp8PMaW8fnEqO9JcuLMfltHbc9o719/wZiq2pTkVUmeXOG8AAAAAFhjKw2Ubk9ywWhf\nkOS2mfrO8ea2k7K4+PanxuNxz1TVmWN9pPP3G7N0rLcm+fi46wkAAACADWjTcjtU1U1J3pTkuKra\nneQ9Sd6b5OaqujDJl5K8PUm6+8GqujnJQ0meS/LO7n5+HOqSLL4x7qgkd4wtSa5N8oGq2pXFxb93\nzuXMAAAAAFgTywZK3X3ei3Sd9SL7X57k8gPUF5KcdoD6N5K8bbl5AAAAALAxrHpRbgAAAABeWQRK\nAAAAAEwiUAIAAABgEoESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJ\nBEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAA\ngEkESgAAAABMIlACAAAAYBKBEgAAAACTCJQAAAAAmGTFgVJVfV9V3TezPVNV76qqX66qPTP1H50Z\nc1lV7aqqh6vqzTP106vq/tF3VVXVak8MAAAAgLWx4kCpux/u7u3dvT3J6Un+JMnHRveVS33d/dtJ\nUlWnJtmZ5HVJzk7yvqo6Yux/dZKLkpwytrNXOi8AAAAA1ta8Hnk7K8kj3f2ll9jnnCQf7u5nu/uL\nSXYlOaOqTkhydHff3d2d5MYk585pXgAAAADM2bwCpZ1Jbpr5/nNV9Zmquq6qjhm1LUkem9ln96ht\nGe39639BVV1cVQtVtbBv3745TR0AAACAKVYdKFXVtyf5iST/ZpSuTvLaJNuT7E3yK6v9jSXdfU13\n7+juHZs3b57XYQEAAACYYB53KP3dJJ/u7seTpLsf7+7nu/ubSX4jyRljvz1JTpwZt3XU9oz2/nUA\nAAAANqB5BErnZeZxt7Em0pK3JHlgtG9PsrOqjqyqk7K4+Panuntvkmeq6szxdrfzk9w2h3kBAAAA\nsAY2rWZwVX1Hkh9J8rMz5X9eVduTdJJHl/q6+8GqujnJQ0meS/LO7n5+jLkkyfVJjkpyx9gAAAAA\n2IBWFSh1939Lcux+tZ96if0vT3L5AeoLSU5bzVwAAAAAODTm9ZY3AAAAAF4hBEoAAAAATCJQAgAA\nAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABMIlAC\nAAAAYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACASQRKAAAAAEwi\nUAIAAABgEoESAAAAAJOsKlCqqker6v6quq+qFkbt1VV1Z1V9fnweM7P/ZVW1q6oerqo3z9RPH8fZ\nVVVXVVWtZl4AAAAArJ153KH0d7p7e3fvGN8vTXJXd5+S5K7xPVV1apKdSV6X5Owk76uqI8aYq5Nc\nlOSUsZ09h3kBAAAAsAbW4pG3c5LcMNo3JDl3pv7h7n62u7+YZFeSM6rqhCRHd/fd3d1JbpwZAwAA\nAMAGs9pAqZP8+6q6t6ouHrXju3vvaH85yfGjvSXJYzNjd4/altHev/4XVNXFVbVQVQv79u1b5dQB\nAAAAWIlNqxz/t7t7T1X91SR3VtXnZju7u6uqV/kbs8e7Jsk1SbJjx465HRcAAACAg7eqO5S6e8/4\nfCLJx5KckeTx8RhbxucTY/c9SU6cGb511PaM9v51AAAAADagFQdKVfUdVfVdS+0k/3OSB5LcnuSC\nsdsFSW4b7duT7KyqI6vqpCwuvv2p8XjcM1V15ni72/kzYwAAAADYYFbzyNvxST62mAFlU5IPdfe/\nrarfT3JzVV2Y5EtJ3p4k3f1gVd2c5KEkzyV5Z3c/P451SZLrkxyV5I6xAQAAALABrThQ6u4vJPnr\nB6g/meSsFxlzeZLLD1BfSHLaSucCAAAAwKGz2re8AQAAAPAKI1ACAAAAYBKBEgAAAACTCJQAAAAA\nmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACASQRKAAAAAEwiUAIAAABgEoESAAAAAJMIlAAA\nAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAAkwiU\nAAAAAJhEoAQAAADAJCsOlKrqxKr6RFU9VFUPVtXPj/ovV9WeqrpvbD86M+ayqtpVVQ9X1Ztn6qdX\n1f2j76qqqtWdFgAAAABrZdMqxj6X5N3d/emq+q4k91bVnaPvyu7+l7M7V9WpSXYmeV2S70ny76vq\ne7v7+SRXJ7koyT1JfjvJ2UnuWMXcAAAAAFgjK75Dqbv3dvenR/uPknw2yZaXGHJOkg9397Pd/cUk\nu5KcUVUnJDm6u+/u7k5yY5JzVzovAAAAANbWXNZQqqptSV6fxTuMkuTnquozVXVdVR0zaluSPDYz\nbPeobRnt/esH+p2Lq2qhqhb27ds3j6kDAAAAMNGqA6Wq+s4ktyZ5V3c/k8XH116bZHuSvUl+ZbW/\nsaS7r+nuHd29Y/PmzfM6LAAAAAATrCpQqqpvy2KY9MHu/miSdPfj3f18d38zyW8kOWPsvifJiTPD\nt47antHevw4AAADABrSat7xVkmuTfLa7f3WmfsLMbm9J8sBo355kZ1UdWVUnJTklyae6e2+SZ6rq\nzHHM85PcttJ5AQAAALC2VvOWtx9M8lNJ7q+q+0btl5KcV1Xbk3SSR5P8bJJ094NVdXOSh7L4hrh3\njje8JcklSa5PclQW3+7mDW8AAAAAG9SKA6Xu/r0kdYCu336JMZcnufwA9YUkp610LgAAAAAcOnN5\nyxsAAAAArxwCJQAAAAAmESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAAAA\nAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABMIlACAAAAYJJN6z0BgIO17dLf\nOqj9Hn3vj63xTObnYM8pObzOCwAAeHkTKAHrakqgsp7H3AjW4ryEVAAAwEoIlIC5e7kGOi9H7pAC\nAABWQqAEHDRB0Sub8AkAAFgiUIJXOCERa8HjeQAA8PImUIKXISERL0fr/c+1QAsAAL5lwwRKVXV2\nkl9LckSS93f3e9d5SgDw59x1BQAA37IhAqWqOiLJv07yI0l2J/n9qrq9ux9a35nBxrLed2gA87Xe\n17RACwCAldoQgVKSM5Ls6u4vJElVfTjJOUkESrzsrfd/UAKvXK/0f/9MCdTcoQYA8EIbJVDakuSx\nme+7k/zN/XeqqouTXDy+/nFVPXwI5rZejkvylUPxQ3XFofgV2BAO2XUFrxCH9TW13n/+rffvs2Ed\n1tcVbECuKZjurx3MThslUDoo3X1NkmvWex6HQlUtdPeO9Z4HvJy4rmC+XFMwf64rmC/XFKydv7Te\nExj2JDlx5vvWUQMAAABgg9kogdLvJzmlqk6qqm9PsjPJ7es8JwAAAAAOYEM88tbdz1XV/5bk3yU5\nIsl13f3gOk9rvb0iHu2DQ8x1BfPlmoL5c13BfLmmYI1Ud6/3HAAAAAA4jGyUR94AAAAAOEwIlAAA\nAACYRKC0AVXV2VX1cFXtqqpL13s+cLipqhOr6hNV9VBVPVhVPz/qr66qO6vq8+PzmPWeKxxOquqI\nqvqDqvp/x3fXFKxCVX13Vd1SVZ+rqs9W1d9yXcHqVNX/Mf7+90BV3VRVf9l1BWtDoLTBVNURSf51\nkr+b5NQk51XVqes7KzjsPJfk3d19apIzk7xzXEeXJrmru09Jctf4Dhy8n0/y2ZnvrilYnV9L8m+7\n+/uT/PUsXl+uK1ihqtqS5H9PsqO7T8viC592xnUFa0KgtPGckWRXd3+hu/80yYeTnLPOc4LDSnfv\n7e5Pj/YfZfEv6FuyeC3dMHa7Icm56zNDOPxU1dYkP5bk/TNl1xSsUFW9Kskbk1ybJN39p939tbiu\nYLU2JTmqqjYl+StJ/mtcV7AmBEobz5Ykj8183z1qwApU1bYkr09yT5Lju3vv6PpykuPXaVpwOPpX\nSX4xyTdnaq4pWLmTkuxL8pvjUdL3V9V3xHUFK9bde5L8yyR/mGRvkqe7+3fiuoI1IVACXraq6juT\n3JrkXd39zGxfd3eSXpeJwWGmqn48yRPdfe+L7eOagsk2JfkbSa7u7tcn+W/Z7zEc1xVMM9ZGOieL\nge33JPmOqvr7s/u4rmB+BEobz54kJ8583zpqwARV9W1ZDJM+2N0fHeXHq+qE0X9CkifWa35wmPnB\nJD9RVY9m8VHsH6qq/yeuKViN3Ul2d/c94/stWQyYXFewcj+c5Ivdva+7/yzJR5P8j3FdwZoQKG08\nv5/klKo6qaq+PYuLyN2+znOCw0pVVRbXpPhsd//qTNftSS4Y7QuS3Hao5waHo+6+rLu3dve2LP65\n9PHu/vtxTcGKdfeXkzxWVd83SmcleSiuK1iNP0xyZlX9lfH3wbOyuJam6wrWQC3e8cdGUlU/msW1\nKo5Icl13X77OU4LDSlX97ST/Mcn9+dZ6L7+UxXWUbk7ymiRfSvL27n5qXSYJh6mqelOS/7O7f7yq\njo1rClasqrZncaH7b0/yhSQ/k8X/4eu6ghWqqn+S5Cez+NbfP0jyD5N8Z1xXMHcCJQAAAAAm8cgb\nAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGAS\ngRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABMIlACAAAA\nYBKBEgDAHFTVtqrqsV0/U99eVb88tu3rOEUAgLnZtN4TAAB4mdue5D2j/WiS+9ZvKgAA8yFQAgCY\ng+5+NEmt9zwAAA4Fj7wBABykqvobVXVTVe2pqj+tqq9U1Seq6owDPfJWVf8hyW/OHOI3Z/b56ar6\ng9F+qqr+8szvvHocv6vq3x3aswQAWJ5ACQDgIFTVW5Lck2Rnku9J8m1Jjk3ypiSnrvCwvzY+j0ny\nkzP1/2UcP0nev8JjAwCsGYESAMAyquqoJL+Rby0X8H8lOT7JcUneluQLBxrX3W9K8jMzpZ/p7hrb\n9UluSvL46HvHzH47x+e+JLfN4RQAAOZKoAQAsLwfzOLdSEnyH7r7/+7uJ7r7ye6+pbs/uZKDdvez\nSa4eX8+sqh+oquOT/E+jdmN3/+nqpg4AMH8CJQCA5R0/035ozse+Osmzo/2Pkrw9yRHju8fdAIAN\nSaAEALC8x2fa//3Esf2Snd1PZPHRtyT5X/OtR+R+r7s/N/G3AAAOCYESAMDy/lOSJ0f771TVL1XV\n5qo6pqrOrao3vsTYJ2fap1XVpgPs86/G53clef1ouzsJANiwBEoAAMvo7q8nuSjJc6N0eZInkjyV\n5GNJXvsSw/8gydI6SO9O8mdV1VW1beb4/1+ST8yMeTrJv5nH3AEA1oJACQDgIHT3x5L8zSQfTvJf\nsxgufS3Jf8xLrKvU3XuSnD/2efbF9su37lJKkg9195+sds4AAGulul/ysX4AAA6BqvrZJL8+vm4f\ndy0BAGxIB3qGHwCAQ6Sq/lmSnUm2jdJHhUkAwEYnUAIAWF8nZDFM+lqSO5L8o3WdDQDAQfDIGwAA\nAACTWJQbAAAAgEkO20fejjvuuN62bdt6TwMAAADgZePee+/9SndvXm6/wzZQ2rZtWxYWFtZ7GgAA\nAAAvG1X1pYPZb9lH3qrqxKr6RFU9VFUPVtXPj/qrq+rOqvr8+DxmZsxlVbWrqh6uqjfP1E+vqvtH\n31VVVaN+ZFV9ZNTvqaptU08YAAAAgEPjYNZQei7Ju7v71CRnJnlnVZ2a5NIkd3X3KUnuGt8z+nYm\neV2Ss5O8r6qOGMe6OslFSU4Z29mjfmGSr3b3yUmuTHLFHM4NAAAAgDWwbKDU3Xu7+9Oj/UdJPptk\nS5JzktxRfHM5AAAZDElEQVQwdrshybmjfU6SD3f3s939xSS7kpxRVSckObq77+7FV8vduN+YpWPd\nkuSspbuXAAAAANhYJr3lbTyK9vok9yQ5vrv3jq4vJzl+tLckeWxm2O5R2zLa+9dfMKa7n0vydJJj\nD/D7F1fVQlUt7Nu3b8rUAQAAAJiTgw6Uquo7k9ya5F3d/cxs37jjqOc8t7+gu6/p7h3dvWPz5mUX\nHAcAAABgDRxUoFRV35bFMOmD3f3RUX58PMaW8fnEqO9JcuLM8K2jtme096+/YExVbUryqiRPTj0Z\nAAAAANbewbzlrZJcm+Sz3f2rM123J7lgtC9IcttMfed4c9tJWVx8+1Pj8bhnqurMcczz9xuzdKy3\nJvn4uOsJAAAAgA1m00Hs84NJfirJ/VV136j9UpL3Jrm5qi5M8qUkb0+S7n6wqm5O8lAW3xD3zu5+\nfoy7JMn1SY5KcsfYksXA6gNVtSvJU1l8SxwAAAAAG1AdrjcC7dixoxcWFtZ7GgAAAAAvG1V1b3fv\nWG6/g7lDiTW27dLfWu8prMqj7/2x9Z4CAAAAcAgd9FveAAAAACARKAEAAAAwkUAJAAAAgEkESgAA\nAABMIlACAAAAYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACASQRK\nAAAAAEwiUAIAAABgEoESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlACQAAAIBJ\nBEoAAAAATLJsoFRV11XVE1X1wEztI1V139gerar7Rn1bVX19pu/XZ8acXlX3V9WuqrqqqmrUjxzH\n21VV91TVtvmfJgAAAADzcjB3KF2f5OzZQnf/ZHdv7+7tSW5N8tGZ7keW+rr7HTP1q5NclOSUsS0d\n88IkX+3uk5NcmeSKFZ0JAAAAAIfEsoFSd38yyVMH6ht3Gb09yU0vdYyqOiHJ0d19d3d3khuTnDu6\nz0lyw2jfkuSspbuXAAAAANh4VruG0huSPN7dn5+pnTQed/vdqnrDqG1Jsntmn92jttT3WJJ093NJ\nnk5y7IF+rKourqqFqlrYt2/fKqcOAAAAwEqsNlA6Ly+8O2lvkteMR+F+IcmHquroVf7Gn+vua7p7\nR3fv2Lx587wOCwAAAMAEm1Y6sKo2Jfl7SU5fqnX3s0meHe17q+qRJN+bZE+SrTPDt45axueJSXaP\nY74qyZMrnRcAAAAAa2s1dyj9cJLPdfefP8pWVZur6ojRfm0WF9/+QnfvTfJMVZ051kc6P8ltY9jt\nSS4Y7bcm+fhYZwkAAACADWjZQKmqbkryn5N8X1XtrqoLR9fO/MXFuN+Y5DNVdV8WF9h+R3cvLeh9\nSZL3J9mV5JEkd4z6tUmOrapdWXxM7tJVnA8AAAAAa2zZR966+7wXqf/0AWq3Jrn1RfZfSHLaAerf\nSPK25eYBAAAAwMaw2kW5AQAAAHiFESgBAAAAMIlACQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAA\nkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABMIlACAAAAYBKBEgAA\nAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACASQRKAAAAAEwiUAIAAABgkmUD\npaq6rqqeqKoHZmq/XFV7quq+sf3oTN9lVbWrqh6uqjfP1E+vqvtH31VVVaN+ZFV9ZNTvqapt8z1F\nAAAAAObpYO5Quj7J2QeoX9nd28f220lSVacm2ZnkdWPM+6rqiLH/1UkuSnLK2JaOeWGSr3b3yUmu\nTHLFCs8FAAAAgENg2UCpuz+Z5KmDPN45ST7c3c929xeT7EpyRlWdkOTo7r67uzvJjUnOnRlzw2jf\nkuSspbuXAAAAANh4VrOG0s9V1WfGI3HHjNqWJI/N7LN71LaM9v71F4zp7ueSPJ3k2AP9YFVdXFUL\nVbWwb9++VUwdAAAAgJVaaaB0dZLXJtmeZG+SX5nbjF5Cd1/T3Tu6e8fmzZsPxU8CAAAAsJ8VBUrd\n/Xh3P9/d30zyG0nOGF17kpw4s+vWUdsz2vvXXzCmqjYleVWSJ1cyLwAAAADW3ooCpbEm0pK3JFl6\nA9ztSXaON7edlMXFtz/V3XuTPFNVZ471kc5PctvMmAtG+61JPj7WWQIAAABgA9q03A5VdVOSNyU5\nrqp2J3lPkjdV1fYkneTRJD+bJN39YFXdnOShJM8leWd3Pz8OdUkW3xh3VJI7xpYk1yb5QFXtyuLi\n3zvncWIAAAAArI1lA6XuPu8A5WtfYv/Lk1x+gPpCktMOUP9GkrctNw8AAAAANobVvOUNAAAAgFcg\ngRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAwiUAJAAAAgEkESgAAAABMIlACAAAA\nYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJhEoAQAAADCJQAkAAACASQRKAAAAAEwiUAIA\nAABgEoESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMMmygVJVXVdVT1TVAzO1f1FV\nn6uqz1TVx6rqu0d9W1V9varuG9uvz4w5varur6pdVXVVVdWoH1lVHxn1e6pq2/xPEwAAAIB5OZg7\nlK5PcvZ+tTuTnNbdP5DkvyS5bKbvke7ePrZ3zNSvTnJRklPGtnTMC5N8tbtPTnJlkismnwUAAAAA\nh8yygVJ3fzLJU/vVfqe7nxtf706y9aWOUVUnJDm6u+/u7k5yY5JzR/c5SW4Y7VuSnLV09xIAAAAA\nG8881lD6B0numPl+0njc7Xer6g2jtiXJ7pl9do/aUt9jSTJCqqeTHHugH6qqi6tqoaoW9u3bN4ep\nAwAAADDVqgKlqvrHSZ5L8sFR2pvkNd29PckvJPlQVR29uil+S3df0907unvH5s2b53VYAAAAACbY\ntNKBVfXTSX48yVnjMbZ097NJnh3te6vqkSTfm2RPXvhY3NZRy/g8McnuqtqU5FVJnlzpvAAAAABY\nWyu6Q6mqzk7yi0l+orv/ZKa+uaqOGO3XZnHx7S90994kz1TVmWN9pPOT3DaG3Z7kgtF+a5KPLwVU\nAAAAAGw8y96hVFU3JXlTkuOqaneS92TxrW5HJrlzrJ9993ij2xuT/NOq+rMk30zyju5eWtD7kiy+\nMe6oLK65tLTu0rVJPlBVu7K4+PfOuZwZAAAAAGti2UCpu887QPnaF9n31iS3vkjfQpLTDlD/RpK3\nLTcPAAAAADaGebzlDQAAAIBXEIESAAAAAJMIlAAAAACYRKAEAAAAwCQCJQAAAAAmESgBAAAAMIlA\nCQAAAIBJBEoAAAAATCJQAgAAAGASgRIAAAAAkwiUAAAAAJhEoAQAAADAJAIlAAAAACYRKAEAAAAw\niUAJAAAAgEkESgAAAABMIlACAAAAYBKBEgAAAACTCJQAAAAAmESgBAAAAMAkAiUAAAAAJlk2UKqq\n66rqiap6YKb26qq6s6o+Pz6Pmem7rKp2VdXDVfXmmfrpVXX/6LuqqmrUj6yqj4z6PVW1bb6nCAAA\nAMA8HcwdStcnOXu/2qVJ7uruU5LcNb6nqk5NsjPJ68aY91XVEWPM1UkuSnLK2JaOeWGSr3b3yUmu\nTHLFSk8GAAAAgLW3bKD0/7d3/6F23vUdwN+fNSpF7aiahS7N1ha6QS0s0pAVJkMparSwVpiS/mH7\nhxihnSj4T/Uf/SfQjamboIU6S9uhlm7aNWC7UTvB7Y/aXkuxTbtiZlOaS0wzhcVtrCPpZ3/cJ3C8\nJm2ee25yzkleLzic7/k8z/c5nwt58uS+8/zo7h8k+cWq8nVJ7h7Gdye5fqJ+b3e/3N3PJ9mXZHtV\nXZTkgu5+tLs7yT2r5hzf1t8nueb42UsAAAAAzJ+13kNpU3cfHMY/S7JpGG9O8uLEegeG2uZhvLr+\nK3O6+2iS/0zy1hN9aVXtqqqlqlo6fPjwGlsHAAAAYBpT35R7OOOo16GXU/muO7p7W3dv27hx45n4\nSgAAAABWWWugdGi4jC3D+0tDfTnJlon1Lh5qy8N4df1X5lTVhiS/meTna+wLAAAAgNNsrYHSniQ3\nDeObkjwwUd85PLnt0qzcfPux4fK4I1V19XB/pBtXzTm+rT9N8s/DWU8AAAAAzKENr7VCVX0rybuS\nvK2qDiT5XJLbktxXVR9N8kKSDydJd++tqvuSPJPkaJJbuvvYsKmbs/LEuPOTPDS8kuTrSf62qvZl\n5ebfO9flJwMAAADgtHjNQKm7bzjJomtOsv7uJLtPUF9KcuUJ6v+b5EOv1QcAAAAA82Hqm3IDAAAA\ncG4RKAEAAAAwikAJAAAAgFEESgAAAACMIlACAAAAYBSBEgAAAACjCJQAAAAAGEWgBAAAAMAoAiUA\nAAAARhEoAQAAADCKQAkAAACAUQRKAAAAAIwiUAIAAABgFIESAAAAAKMIlAAAAAAYRaAEAAAAwCgC\nJQAAAABGESgBAAAAMIpACQAAAIBRBEoAAAAAjCJQAgAAAGCUNQdKVfX7VfXkxOtIVX2qqj5fVcsT\n9Q9MzPlMVe2rqueq6n0T9auq6qlh2Zerqqb9wQAAAAA4PdYcKHX3c929tbu3Jrkqyf8kuX9Y/KXj\ny7r7wSSpqiuS7Ezy9iQ7kny1qs4b1r89yceSXD68dqy1LwAAAABOr/W65O2aJP/e3S+8yjrXJbm3\nu1/u7ueT7EuyvaouSnJBdz/a3Z3kniTXr1NfAAAAAKyz9QqUdib51sTnT1TVj6vqzqq6cKhtTvLi\nxDoHhtrmYby6/muqaldVLVXV0uHDh9epdQAAAADGmDpQqqrXJ/mTJH83lG5PclmSrUkOJvnCtN9x\nXHff0d3bunvbxo0b12uzAAAAAIywHmcovT/JE919KEm6+1B3H+vuV5J8Lcn2Yb3lJFsm5l081JaH\n8eo6AAAAAHNoPQKlGzJxudtwT6TjPpjk6WG8J8nOqnpDVV2alZtvP9bdB5Mcqaqrh6e73ZjkgXXo\nCwAAAIDTYMM0k6vqjUnek+TjE+W/qKqtSTrJ/uPLuntvVd2X5JkkR5Pc0t3Hhjk3J7kryflJHhpe\nAAAAAMyhqQKl7v7vJG9dVfvIq6y/O8nuE9SXklw5TS8AAAAAnBnr9ZQ3AAAAAM4RAiUAAAAARhEo\nAQAAADCKQAkAAACAUQRKAAAAAIwiUAIAAABgFIESAAAAAKMIlAAAAAAYRaAEAAAAwCgCJQAAAABG\nESgBAAAAMIpACQAAAIBRBEoAAAAAjCJQAgAAAGAUgRIAAAAAowiUAAAAABhFoAQAAADAKAIlAAAA\nAEYRKAEAAAAwikAJAAAAgFEESgAAAACMMlWgVFX7q+qpqnqyqpaG2luq6uGq+snwfuHE+p+pqn1V\n9VxVvW+iftWwnX1V9eWqqmn6AgAAAOD0WY8zlN7d3Vu7e9vw+dYkj3T35UkeGT6nqq5IsjPJ25Ps\nSPLVqjpvmHN7ko8luXx47ViHvgAAAAA4DU7HJW/XJbl7GN+d5PqJ+r3d/XJ3P59kX5LtVXVRkgu6\n+9Hu7iT3TMwBAAAAYM5MGyh1ku9V1Y+qatdQ29TdB4fxz5JsGsabk7w4MffAUNs8jFfXf01V7aqq\npapaOnz48JStAwAAALAWG6ac/87uXq6q30rycFX92+TC7u6q6im/Y3J7dyS5I0m2bdu2btsFAAAA\n4NRNdYZSdy8P7y8luT/J9iSHhsvYMry/NKy+nGTLxPSLh9ryMF5dBwAAAGAOrTlQqqo3VtWbj4+T\nvDfJ00n2JLlpWO2mJA8M4z1JdlbVG6rq0qzcfPux4fK4I1V19fB0txsn5gAAAAAwZ6a55G1TkvtX\nMqBsSPLN7v7Hqno8yX1V9dEkLyT5cJJ0996qui/JM0mOJrmlu48N27o5yV1Jzk/y0PACAAAAYA6t\nOVDq7p8m+YMT1H+e5JqTzNmdZPcJ6ktJrlxrLwAAAACcOdM+5Q0AAACAc4xACQAAAIBRBEoAAAAA\njCJQAgAAAGAUgRIAAAAAowiUAAAAABhFoAQAAADAKAIlAAAAAEYRKAEAAAAwikAJAAAAgFEESgAA\nAACMIlACAAAAYBSBEgAAAACjCJQAAAAAGGXDrBsAAGA6l9z63Vm3MLX9t1076xYAgBGcoQQAAADA\nKAIlAAAAAEYRKAEAAAAwikAJAAAAgFEESgAAAACMIlACAAAAYBSBEgAAAACjrDlQqqotVfX9qnqm\nqvZW1SeH+uerarmqnhxeH5iY85mq2ldVz1XV+ybqV1XVU8OyL1dVTfdjAQAAAHC6bJhi7tEkn+7u\nJ6rqzUl+VFUPD8u+1N1/OblyVV2RZGeStyf57STfq6rf6+5jSW5P8rEkP0zyYJIdSR6aojc4p1xy\n63dn3cJU9t927axbAAAAYIQ1n6HU3Qe7+4lh/MskzybZ/CpTrktyb3e/3N3PJ9mXZHtVXZTkgu5+\ntLs7yT1Jrl9rXwAAAACcXutyD6WquiTJO7JyhlGSfKKqflxVd1bVhUNtc5IXJ6YdGGqbh/Hq+om+\nZ1dVLVXV0uHDh9ejdQAAAABGmjpQqqo3Jfl2kk9195GsXL52WZKtSQ4m+cK033Fcd9/R3du6e9vG\njRvXa7MAAAAAjDBVoFRVr8tKmPSN7v5OknT3oe4+1t2vJPlaku3D6stJtkxMv3ioLQ/j1XUAAAAA\n5tA0T3mrJF9P8mx3f3GiftHEah9M8vQw3pNkZ1W9oaouTXJ5kse6+2CSI1V19bDNG5M8sNa+AAAA\nADi9pnnK2x8l+UiSp6rqyaH22SQ3VNXWJJ1kf5KPJ0l3762q+5I8k5UnxN0yPOEtSW5OcleS87Py\ndDdPeAMAAACYU2sOlLr7X5PUCRY9+CpzdifZfYL6UpIr19oLAAAAAGfOujzlDQAAAIBzh0AJAAAA\ngFEESgAAAACMMs1NueGscMmt3511CwAAALBQnKEEAAAAwCjOUAIAgCkt+hnP+2+7dtYtALBgBEoA\nAADATAnmF49L3gAAAAAYRaAEAAAAwCgCJQAAAABGESgBAAAAMIpACQAAAIBRBEoAAAAAjLJh1g0A\neEQoAADAYnGGEgAAAACjOEMJAICZW/SzVQHgXOMMJQAAAABGESgBAAAAMIpL3gCAc57LrQAAxnGG\nEgAAAACjOEMJAGdnzNj+266ddQtT82cIAODcMjeBUlXtSPLXSc5L8jfdfduMW+IU+SUCYDr+HgVg\n0Y8FZ8N/jiy6Rf8zxOKZi0Cpqs5L8pUk70lyIMnjVbWnu5+ZbWcAAMC884s0wJk3F4FSku1J9nX3\nT5Okqu5Ncl0SgRIw9/wjFoBF51jGuc4+AOPNS6C0OcmLE58PJPnD1StV1a4ku4aP/1VVz52B3s4G\nb0vyH7NuApiK/RgWm30YFp/9+FXUn8+6A3hNp3UfPsv2gd89lZXmJVA6Jd19R5I7Zt3Hoqmqpe7e\nNus+gLWzH8Nisw/D4rMfw2KzD6+/35h1A4PlJFsmPl881AAAAACYM/MSKD2e5PKqurSqXp9kZ5I9\nM+4JAAAAgBOYi0veuvtoVf1Zkn9Kcl6SO7t774zbOpu4TBAWn/0YFpt9GBaf/RgWm314nVV3z7oH\nAAAAABbIvFzyBgAAAMCCECgBAAAAMIpA6SxWVTuq6rmq2ldVt866H2C8qtpfVU9V1ZNVtTTrfoDX\nVlV3VtVLVfX0RO0tVfVwVf1keL9wlj0CJ3eSffjzVbU8HI+frKoPzLJH4NVV1Zaq+n5VPVNVe6vq\nk0Pd8XgdCZTOUlV1XpKvJHl/kiuS3FBVV8y2K2CN3t3dW7t726wbAU7JXUl2rKrdmuSR7r48ySPD\nZ2A+3ZVf34eT5EvD8Xhrdz94hnsCxjma5NPdfUWSq5PcMvw+7Hi8jgRKZ6/tSfZ190+7+/+S3Jvk\nuhn3BABnve7+QZJfrCpfl+TuYXx3kuvPaFPAKTvJPgwskO4+2N1PDONfJnk2yeY4Hq8rgdLZa3OS\nFyc+HxhqwGLpJN+rqh9V1a5ZNwOs2abuPjiMf5Zk0yybAdbkE1X14+GSOJfJwIKoqkuSvCPJD+N4\nvK4ESgDz7Z3dvTUrl6/eUlV/POuGgOl0d2clLAYWx+1JLkuyNcnBJF+YbTvAqaiqNyX5dpJPdfeR\nyWWOx9MTKJ29lpNsmfh88VADFkh3Lw/vLyW5PyuXswKL51BVXZQkw/tLM+4HGKG7D3X3se5+JcnX\n4ngMc6+qXpeVMOkb3f2doex4vI4ESmevx5NcXlWXVtXrk+xMsmfGPQEjVNUbq+rNx8dJ3pvk6Vef\nBcypPUluGsY3JXlghr0AIx3/BXTwwTgew1yrqkry9STPdvcXJxY5Hq+jWjnLi7PR8DjTv0pyXpI7\nu3v3jFsCRqiqy7JyVlKSbEjyTfsxzL+q+laSdyV5W5JDST6X5B+S3Jfkd5K8kOTD3e2mvzCHTrIP\nvysrl7t1kv1JPj5xHxZgzlTVO5P8S5KnkrwylD+blfsoOR6vE4ESAAAAAKO45A0AAACAUQRKAAAA\nAIwiUAIAAABgFIESAAAAAKMIlAAAAAAYRaAEAAAAwCgCJQAAAABG+X83nQdgnIXJVwAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10ab3756a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_distribution_users(col, ax):\n",
    "    groupby = users.groupby(col)[col].count()\n",
    "    labels= groupby.keys()\n",
    "    values = groupby.values\n",
    "    n = len(values)\n",
    "    ax.bar(range(n), values, width=1)\n",
    "    ax.set_title(col, fontdict={'fontsize': 16, 'fontweight': 'bold'})\n",
    "    \n",
    "fg, axes = plt.subplots(2, 1, figsize=(20, 10))\n",
    "\n",
    "plot_distribution_users('bd', axes[0])\n",
    "plot_distribution_users('city', axes[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The user information is a complete mess! We see that the age of most of the users is '0'! There are several values which are less than 0 too. The distirbution of cities is quiet skewed, most of the users come from one particular city which is labeled as 0. (Probably a default option).\n",
    "From the data quality graph, we also observe that the gender dataset has many missing values too. However, for the rest of the dataset, the distribution looks somewhat balanced"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWQAAAD9CAYAAACLBQ0fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10ab73f860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gender_dist = users.groupby('gender')['gender'].count()\n",
    "plt.axis(\"equal\")\n",
    "plt.pie(gender_dist.values, labels=gender_dist.keys())\n",
    "plt.title('Gender Distribution', fontdict={'fontsize': 16, 'fontweight': 'bold'})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAD8CAYAAACcjGjIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSeoYDpKkjuEgSeoYDpKkjuEgSer8PwqqZoxWG3HtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10ab935978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "registered_via = users.groupby('registered_via')['registered_via'].count()\n",
    "plt.bar(range(len(registered_via.keys())), registered_via.values)\n",
    "_ = plt.xticks(range(len(registered_via.keys())), registered_via.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we don't have any meanings attached to the numbers corresponding to \"registered_via\", not much inference can be drawn. One thing to notice, however, is that \"16\" and \"13\" have only a handful of users corresponding to them. In fact, there's only one user who was registered via \"16\"! Out of curiosity, we try to chase the user to check if there's anything special about them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>msno</th>\n",
       "      <th>city</th>\n",
       "      <th>bd</th>\n",
       "      <th>gender</th>\n",
       "      <th>registered_via</th>\n",
       "      <th>registration_init_time</th>\n",
       "      <th>expiration_date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>15801</th>\n",
       "      <td>RtehpGwMFnKR7Fx5Yyp6UvXOeePpMG9R7TvIqP8IDOE=</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>20141025</td>\n",
       "      <td>20141025</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               msno  city  bd gender  \\\n",
       "15801  RtehpGwMFnKR7Fx5Yyp6UvXOeePpMG9R7TvIqP8IDOE=     1   0    NaN   \n",
       "\n",
       "       registered_via  registration_init_time  expiration_date  \n",
       "15801              16                20141025         20141025  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "users[users.apply(lambda x: x.registered_via==16, axis=1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>msno</th>\n",
       "      <th>song_id</th>\n",
       "      <th>source_system_tab</th>\n",
       "      <th>source_screen_name</th>\n",
       "      <th>source_type</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [msno, song_id, source_system_tab, source_screen_name, source_type, target]\n",
       "Index: []"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train[train.msno == 'RtehpGwMFnKR7Fx5Yyp6UvXOeePpMG9R7TvIqP8IDOE=']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nothing, really. In fact the user doesn't even seem to have any histroy of listening to the music."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAD8CAYAAACcjGjIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b10adfd1c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_year(row):\n",
    "    return int(str(row.registration_init_time)[:4])\n",
    "bins = np.arange(2004, 2004+len(set(registeration_years)))-0.5\n",
    "_ = plt.hist(registration_years, bins=bins)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can thus see that most of the users were registered in the last one year."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}