Forecasting.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as kunfu\n",
    "import numpy as dragon\n",
    "import pylab as p\n",
    "import matplotlib.pyplot as plot\n",
    "from collections import Counter\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                Page  2015-07-01  2015-07-02  \\\n",
      "0            2NE1_zh.wikipedia.org_all-access_spider        18.0        11.0   \n",
      "1             2PM_zh.wikipedia.org_all-access_spider        11.0        14.0   \n",
      "2              3C_zh.wikipedia.org_all-access_spider         1.0         0.0   \n",
      "3         4minute_zh.wikipedia.org_all-access_spider        35.0        13.0   \n",
      "4  52_Hz_I_Love_You_zh.wikipedia.org_all-access_s...         0.0         0.0   \n",
      "\n",
      "   2015-07-03  2015-07-04  2015-07-05  2015-07-06  2015-07-07  2015-07-08  \\\n",
      "0         5.0        13.0        14.0         9.0         9.0        22.0   \n",
      "1        15.0        18.0        11.0        13.0        22.0        11.0   \n",
      "2         1.0         1.0         0.0         4.0         0.0         3.0   \n",
      "3        10.0        94.0         4.0        26.0        14.0         9.0   \n",
      "4         0.0         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "   2015-07-09     ...      2016-12-22  2016-12-23  2016-12-24  2016-12-25  \\\n",
      "0        26.0     ...            32.0        63.0        15.0        26.0   \n",
      "1        10.0     ...            17.0        42.0        28.0        15.0   \n",
      "2         4.0     ...             3.0         1.0         1.0         7.0   \n",
      "3        11.0     ...            32.0        10.0        26.0        27.0   \n",
      "4         0.0     ...            48.0         9.0        25.0        13.0   \n",
      "\n",
      "   2016-12-26  2016-12-27  2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
      "0        14.0        20.0        22.0        19.0        18.0        20.0  \n",
      "1         9.0        30.0        52.0        45.0        26.0        20.0  \n",
      "2         4.0         4.0         6.0         3.0         4.0        17.0  \n",
      "3        16.0        11.0        17.0        19.0        10.0        11.0  \n",
      "4         3.0        11.0        27.0        13.0        36.0        10.0  \n",
      "\n",
      "[5 rows x 551 columns]\n"
     ]
    }
   ],
   "source": [
    "train = kunfu.read_csv('C:\\\\Users\\\\NISHANT\\\\Desktop\\\\t.csv').fillna(0)\n",
    "print(train.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "x = train[['Page']].values\n",
    "print(\"\\nTotal No. of Articles : \", (len(x)), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 145063 entries, 0 to 145062\n",
      "Columns: 551 entries, Page to 2016-12-31\n",
      "dtypes: float64(550), object(1)\n",
      "memory usage: 609.8+ MB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(train.info())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Language Influences Page Total View  <(0_o)>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Article count as per Language : \n",
      " Counter({'en': 24108, 'ja': 20431, 'de': 18547, 'no_lang': 17855, 'fr': 17802, 'zh': 17229, 'ru': 15022, 'es': 14069})\n"
     ]
    }
   ],
   "source": [
    "# Using Counters \n",
    "# dictionary keys and their counts are stored as dictionary values\n",
    "# in a sorted manner as per value\n",
    "\n",
    "# Reason why we are taking 'en' as a root language to focus on\n",
    "def lang(Page):\n",
    "    val = re.search('[a-z][a-z].wikipedia.org',Page)\n",
    "    if val:\n",
    "        return val[0][0:2]           \n",
    "    \n",
    "    # no_lang for media files ; wikimedia.org\n",
    "    return 'no_lang'\n",
    "\n",
    "train['language'] = train.Page.map(lang)\n",
    "\n",
    "# Article Count \n",
    "print(\"\\nArticle count as per Language : \\n\", Counter(train.language))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KEY :                                                       Page  2015-07-01  \\\n",
      "8357            !vote_en.wikipedia.org_desktop_all-agents         3.0   \n",
      "8358    \"Awaken,_My_Love!\"_en.wikipedia.org_desktop_al...         0.0   \n",
      "8359    \"European_Society_for_Clinical_Investigation\"_...         0.0   \n",
      "8360    \"Weird_Al\"_Yankovic_en.wikipedia.org_desktop_a...      2403.0   \n",
      "8361       100_metres_en.wikipedia.org_desktop_all-agents       982.0   \n",
      "8362    10_Cloverfield_Lane_en.wikipedia.org_desktop_a...         0.0   \n",
      "8363    10_Gigabit_Ethernet_en.wikipedia.org_desktop_a...      1078.0   \n",
      "8364    13_Hours:_The_Secret_Soldiers_of_Benghazi_en.w...         0.0   \n",
      "8365             1551_en.wikipedia.org_desktop_all-agents        11.0   \n",
      "8366    1896_Summer_Olympics_en.wikipedia.org_desktop_...       366.0   \n",
      "8367    1918_flu_pandemic_en.wikipedia.org_desktop_all...       868.0   \n",
      "8368    1923_San_Pedro_Maritime_Strike_en.wikipedia.or...         1.0   \n",
      "8369    1936_Summer_Olympics_en.wikipedia.org_desktop_...       714.0   \n",
      "8370    1976_Summer_Olympics_en.wikipedia.org_desktop_...       511.0   \n",
      "8371    1980_Summer_Olympics_en.wikipedia.org_desktop_...       414.0   \n",
      "8372    1984_Summer_Olympics_en.wikipedia.org_desktop_...       594.0   \n",
      "8373    1989_(Taylor_Swift_album)_en.wikipedia.org_des...      4768.0   \n",
      "8374    1999_(Prince_album)_en.wikipedia.org_desktop_a...       249.0   \n",
      "8375    2000_Summer_Olympics_en.wikipedia.org_desktop_...       691.0   \n",
      "8376    2002_FIFA_World_Cup_en.wikipedia.org_desktop_a...      2521.0   \n",
      "8377    2003_invasion_of_Iraq_en.wikipedia.org_desktop...      1153.0   \n",
      "8378    2007_tuberculosis_scare_en.wikipedia.org_deskt...        31.0   \n",
      "8379    2008_Summer_Olympics_en.wikipedia.org_desktop_...       932.0   \n",
      "8380    2008_Summer_Olympics_medal_table_en.wikipedia....       155.0   \n",
      "8381    2012_Benghazi_attack_en.wikipedia.org_desktop_...      1683.0   \n",
      "8382    2012_Summer_Olympics_en.wikipedia.org_desktop_...      2352.0   \n",
      "8383    2012_Summer_Olympics_medal_table_en.wikipedia....       819.0   \n",
      "8384    2014_FIFA_World_Cup_en.wikipedia.org_desktop_a...      7798.0   \n",
      "8385    2015_NCAA_Men's_Division_I_Basketball_Tourname...       353.0   \n",
      "8386    2015_San_Bernardino_attack_en.wikipedia.org_de...         0.0   \n",
      "...                                                   ...         ...   \n",
      "113921  Yuichi_Motai_en.wikipedia.org_all-access_all-a...         0.0   \n",
      "113922  Yukio_Kagayama_en.wikipedia.org_all-access_all...        20.0   \n",
      "113923  Yundamindera_Station_en.wikipedia.org_all-acce...         6.0   \n",
      "113924   Yung_Wing_en.wikipedia.org_all-access_all-agents        34.0   \n",
      "113925  Yungpaw_Ga_en.wikipedia.org_all-access_all-agents         1.0   \n",
      "113926  Yvonne_Gancel_en.wikipedia.org_all-access_all-...         0.0   \n",
      "113927  Yvonne_Neuwirth_en.wikipedia.org_all-access_al...         4.0   \n",
      "113928  ZF_4HP18_transmission_en.wikipedia.org_all-acc...         7.0   \n",
      "113929  Zach_Wahls_en.wikipedia.org_all-access_all-agents       112.0   \n",
      "113930  Zakynthos_(person)_en.wikipedia.org_all-access...         3.0   \n",
      "113931  Zamzama_Park_en.wikipedia.org_all-access_all-a...         4.0   \n",
      "113932  Zanan-e_Emruz_en.wikipedia.org_all-access_all-...         0.0   \n",
      "113933     Zaratha_en.wikipedia.org_all-access_all-agents         0.0   \n",
      "113934  Zari_District_en.wikipedia.org_all-access_all-...         5.0   \n",
      "113935  Zarka_(trope)_en.wikipedia.org_all-access_all-...         4.0   \n",
      "113936  Zarqan,_Razavi_Khorasan_en.wikipedia.org_all-a...         1.0   \n",
      "113937  Zavet_(disambiguation)_en.wikipedia.org_all-ac...         0.0   \n",
      "113938  Zeebo_Inc._en.wikipedia.org_all-access_all-agents         8.0   \n",
      "113939  Zero_Minus_Ten_en.wikipedia.org_all-access_all...        29.0   \n",
      "113940  Zeroth_law_en.wikipedia.org_all-access_all-agents         5.0   \n",
      "113941  Zgornji_Lehen_na_Pohorju_en.wikipedia.org_all-...         1.0   \n",
      "113942    Zhao_Lin_en.wikipedia.org_all-access_all-agents         3.0   \n",
      "113943  Zhejiang_Yueju_Troupe_en.wikipedia.org_all-acc...         0.0   \n",
      "113944  Zheleznogorsk_Airport_en.wikipedia.org_all-acc...         0.0   \n",
      "113945  Zhu_Qingyuan_en.wikipedia.org_all-access_all-a...         0.0   \n",
      "113946  Zikanyrops_sparsa_en.wikipedia.org_all-access_...         1.0   \n",
      "113947  Zillur_Rahman_John_en.wikipedia.org_all-access...         7.0   \n",
      "113948   Zitadelle_en.wikipedia.org_all-access_all-agents        10.0   \n",
      "113949  Zovashen_(Dzhannatlu),_Ararat_en.wikipedia.org...         0.0   \n",
      "113950  Zurich.minds_en.wikipedia.org_all-access_all-a...         8.0   \n",
      "\n",
      "        2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
      "8357           4.0         7.0         4.0         4.0         2.0   \n",
      "8358           0.0         0.0         0.0         0.0         0.0   \n",
      "8359           0.0         0.0         0.0         0.0         0.0   \n",
      "8360       20136.0      1850.0      1432.0      1351.0      1792.0   \n",
      "8361         881.0       794.0       979.0      1191.0      1057.0   \n",
      "8362           0.0         0.0         0.0         0.0         0.0   \n",
      "8363        1116.0       869.0       327.0       312.0      1123.0   \n",
      "8364          45.0       462.0       448.0       424.0       574.0   \n",
      "8365           9.0        19.0        26.0        16.0        45.0   \n",
      "8366         392.0       322.0       313.0       340.0       447.0   \n",
      "8367         877.0       688.0       623.0       604.0       823.0   \n",
      "8368           1.0         0.0         0.0         4.0         8.0   \n",
      "8369         616.0       506.0       504.0       579.0       695.0   \n",
      "8370         648.0       431.0       387.0       386.0       535.0   \n",
      "8371         430.0       368.0       365.0       411.0       504.0   \n",
      "8372         518.0       441.0       425.0       409.0       631.0   \n",
      "8373        4346.0      4251.0      3815.0      3970.0      4283.0   \n",
      "8374         297.0       233.0       224.0       215.0       264.0   \n",
      "8375         622.0       490.0       514.0       564.0       837.0   \n",
      "8376        2240.0      1832.0      1867.0      2441.0      3151.0   \n",
      "8377        1055.0       987.0       880.0       885.0      1100.0   \n",
      "8378          38.0        26.0         9.0        21.0        17.0   \n",
      "8379         925.0       877.0       720.0       826.0      1268.0   \n",
      "8380         152.0       142.0       129.0       118.0       157.0   \n",
      "8381        1026.0       875.0       745.0      1039.0      1213.0   \n",
      "8382        2396.0      2094.0      1691.0      2213.0      3592.0   \n",
      "8383         771.0       658.0       707.0       631.0       871.0   \n",
      "8384        6562.0      4748.0      5789.0      8394.0     12192.0   \n",
      "8385         312.0       213.0       302.0       215.0       275.0   \n",
      "8386           0.0         0.0         0.0         0.0         0.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "113921         0.0         0.0         0.0         0.0         0.0   \n",
      "113922        19.0        36.0        24.0        39.0        32.0   \n",
      "113923         1.0         1.0        25.0         2.0         2.0   \n",
      "113924        32.0        31.0        40.0        40.0        46.0   \n",
      "113925         1.0         1.0         1.0         0.0         3.0   \n",
      "113926         0.0         0.0         0.0         0.0         0.0   \n",
      "113927         6.0         7.0         3.0        10.0         9.0   \n",
      "113928         9.0        11.0        12.0        11.0        25.0   \n",
      "113929        93.0        88.0        75.0        86.0        71.0   \n",
      "113930         6.0         5.0         5.0         9.0         6.0   \n",
      "113931        16.0        10.0        10.0        10.0        12.0   \n",
      "113932         0.0         0.0         0.0         0.0         0.0   \n",
      "113933        14.0         3.0         0.0         1.0         2.0   \n",
      "113934         6.0        15.0        12.0        12.0         4.0   \n",
      "113935         3.0        10.0        10.0         5.0         9.0   \n",
      "113936         0.0         3.0         0.0         2.0         1.0   \n",
      "113937         0.0         3.0         2.0         0.0         0.0   \n",
      "113938         9.0         9.0        16.0        10.0        10.0   \n",
      "113939        27.0        35.0        30.0        20.0        38.0   \n",
      "113940         4.0         6.0         2.0         3.0         2.0   \n",
      "113941         1.0         1.0         1.0         1.0         1.0   \n",
      "113942         0.0         2.0         2.0         1.0         2.0   \n",
      "113943         1.0         1.0         1.0         0.0         0.0   \n",
      "113944         5.0         4.0         5.0         7.0         1.0   \n",
      "113945         1.0         2.0         1.0         1.0         1.0   \n",
      "113946         5.0         2.0         2.0         0.0         1.0   \n",
      "113947         9.0         3.0         6.0         4.0         2.0   \n",
      "113948         6.0         4.0         8.0        13.0         5.0   \n",
      "113949         0.0         1.0         1.0         1.0         1.0   \n",
      "113950         5.0         7.0        13.0         8.0        13.0   \n",
      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
      "8357           3.0         7.0         2.0     ...             3.0   \n",
      "8358           0.0         0.0         0.0     ...          2898.0   \n",
      "8359           0.0         0.0         1.0     ...             1.0   \n",
      "8360        1710.0      2039.0      1957.0     ...          1401.0   \n",
      "8361        1184.0       860.0      1259.0     ...           404.0   \n",
      "8362           0.0         0.0         0.0     ...          3266.0   \n",
      "8363        1124.0      1149.0      1128.0     ...          1004.0   \n",
      "8364         539.0       569.0       625.0     ...          1809.0   \n",
      "8365          33.0        27.0        17.0     ...            17.0   \n",
      "8366         484.0       375.0       402.0     ...           290.0   \n",
      "8367         794.0       897.0       747.0     ...           931.0   \n",
      "8368           0.0         4.0         3.0     ...            48.0   \n",
      "8369         751.0       723.0       743.0     ...           622.0   \n",
      "8370         532.0       552.0       554.0     ...           309.0   \n",
      "8371         483.0       585.0       477.0     ...           374.0   \n",
      "8372         668.0       796.0       588.0     ...           475.0   \n",
      "8373        4226.0      4399.0      6294.0     ...          1131.0   \n",
      "8374         259.0       215.0       234.0     ...           302.0   \n",
      "8375         737.0       727.0       710.0     ...           508.0   \n",
      "8376        2293.0      2164.0      1984.0     ...           837.0   \n",
      "8377        1346.0      1115.0      1046.0     ...          1433.0   \n",
      "8378          20.0        95.0       249.0     ...            10.0   \n",
      "8379        1091.0       974.0       968.0     ...           713.0   \n",
      "8380         145.0       142.0       154.0     ...           103.0   \n",
      "8381        1097.0      1343.0      1312.0     ...          2207.0   \n",
      "8382        3125.0      2528.0      2355.0     ...           888.0   \n",
      "8383         785.0      1020.0       757.0     ...           256.0   \n",
      "8384        7554.0      9155.0      6736.0     ...          1719.0   \n",
      "8385         357.0       314.0       262.0     ...           662.0   \n",
      "8386           0.0         0.0         0.0     ...           815.0   \n",
      "...            ...         ...         ...     ...             ...   \n",
      "113921         0.0         0.0         0.0     ...             0.0   \n",
      "113922        16.0        31.0        19.0     ...             7.0   \n",
      "113923         3.0         2.0         8.0     ...             4.0   \n",
      "113924        28.0        64.0        68.0     ...            27.0   \n",
      "113925         1.0         1.0         2.0     ...             0.0   \n",
      "113926         0.0         0.0         0.0     ...             1.0   \n",
      "113927         6.0         3.0         7.0     ...             5.0   \n",
      "113928        14.0        17.0        10.0     ...            13.0   \n",
      "113929        55.0       103.0        93.0     ...            43.0   \n",
      "113930         6.0         4.0         8.0     ...             3.0   \n",
      "113931         3.0        13.0        15.0     ...            13.0   \n",
      "113932         0.0         0.0         0.0     ...             3.0   \n",
      "113933         1.0         2.0         3.0     ...             3.0   \n",
      "113934         3.0         7.0         5.0     ...             4.0   \n",
      "113935         6.0         7.0         7.0     ...             7.0   \n",
      "113936         0.0         3.0         1.0     ...             0.0   \n",
      "113937         0.0         0.0         1.0     ...             3.0   \n",
      "113938         8.0        14.0         8.0     ...            11.0   \n",
      "113939        25.0        25.0        37.0     ...            17.0   \n",
      "113940         2.0        10.0         2.0     ...             5.0   \n",
      "113941         0.0         1.0         2.0     ...             0.0   \n",
      "113942         0.0         1.0         1.0     ...             0.0   \n",
      "113943         0.0         0.0         1.0     ...             1.0   \n",
      "113944         1.0        11.0         4.0     ...             5.0   \n",
      "113945         0.0         1.0         1.0     ...             1.0   \n",
      "113946         0.0         0.0         2.0     ...             1.0   \n",
      "113947         6.0         7.0         6.0     ...             3.0   \n",
      "113948         9.0         5.0         4.0     ...             8.0   \n",
      "113949         1.0         0.0         0.0     ...             1.0   \n",
      "113950         9.0         7.0         8.0     ...             4.0   \n",
      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
      "8357           1.0         6.0         3.0         1.0         1.0   \n",
      "8358        2676.0      2032.0      2294.0      2074.0      2175.0   \n",
      "8359           0.0         0.0         0.0         0.0         0.0   \n",
      "8360        1238.0       976.0       810.0       989.0      1332.0   \n",
      "8361         344.0       225.0       229.0       335.0       313.0   \n",
      "8362        3172.0      2772.0      3632.0      3896.0      4504.0   \n",
      "8363         613.0       289.0       264.0       439.0       687.0   \n",
      "8364        1706.0      1484.0      1530.0      1742.0      2263.0   \n",
      "8365           5.0        19.0        11.0        16.0        10.0   \n",
      "8366         814.0       757.0       190.0       273.0       252.0   \n",
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      "8373        1028.0       883.0       813.0       992.0      1106.0   \n",
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      "8375         464.0       383.0       288.0       327.0       453.0   \n",
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      "8378          12.0        14.0        14.0        10.0         6.0   \n",
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      "8386         669.0       488.0       319.0       321.0       528.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
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      "113929        21.0        40.0        22.0        32.0        29.0   \n",
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      "113933         3.0         6.0         3.0         3.0         2.0   \n",
      "113934         5.0        13.0         7.0         4.0         3.0   \n",
      "113935         4.0         6.0         5.0        15.0        10.0   \n",
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      "113937         0.0         1.0         2.0         1.0         2.0   \n",
      "113938        13.0        11.0        17.0        15.0        22.0   \n",
      "113939        18.0        14.0        22.0        21.0        15.0   \n",
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      "113944         3.0         9.0         7.0         7.0         5.0   \n",
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      "113947         3.0         5.0         4.0         6.0         0.0   \n",
      "113948         6.0         7.0         2.0         8.0         1.0   \n",
      "113949         7.0         4.0         5.0         2.0         7.0   \n",
      "113950         1.0         6.0         5.0         2.0        14.0   \n",
      "\n",
      "        2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
      "8357           3.0         3.0         1.0         0.0  \n",
      "8358        2156.0      2302.0      2098.0      1770.0  \n",
      "8359           0.0         0.0         1.0         2.0  \n",
      "8360        1243.0      1681.0      1303.0      1098.0  \n",
      "8361         379.0       393.0       354.0       272.0  \n",
      "8362        4726.0      4241.0      4325.0      3868.0  \n",
      "8363         713.0       701.0       510.0       298.0  \n",
      "8364        2205.0      2041.0      1976.0      2148.0  \n",
      "8365          27.0        15.0        26.0        28.0  \n",
      "8366         255.0       286.0       271.0       225.0  \n",
      "8367        1215.0      1328.0      1519.0      1440.0  \n",
      "8368          99.0        49.0        63.0        49.0  \n",
      "8369         610.0       760.0       553.0       488.0  \n",
      "8370         298.0       300.0       269.0       271.0  \n",
      "8371         369.0       370.0       322.0       314.0  \n",
      "8372         326.0       414.0       399.0       345.0  \n",
      "8373        1215.0      1116.0      1131.0       999.0  \n",
      "8374         488.0       399.0       425.0       456.0  \n",
      "8375         448.0       414.0       397.0       343.0  \n",
      "8376         871.0       835.0       876.0       616.0  \n",
      "8377        1101.0      1374.0      1210.0       915.0  \n",
      "8378          10.0         8.0         7.0        13.0  \n",
      "8379         640.0       600.0       643.0       650.0  \n",
      "8380         125.0       105.0       112.0       103.0  \n",
      "8381        2069.0      1901.0      2022.0      1926.0  \n",
      "8382         894.0       817.0       798.0       804.0  \n",
      "8383         295.0       277.0       250.0       207.0  \n",
      "8384        1728.0      1494.0      1515.0      1464.0  \n",
      "8385         204.0       274.0       254.0       211.0  \n",
      "8386         496.0       491.0       474.0       480.0  \n",
      "...            ...         ...         ...         ...  \n",
      "113921         0.0         0.0         0.0         0.0  \n",
      "113922        13.0        13.0        15.0        14.0  \n",
      "113923         4.0         4.0         3.0         6.0  \n",
      "113924        43.0        30.0        49.0        45.0  \n",
      "113925         0.0         1.0         0.0         3.0  \n",
      "113926         2.0         1.0         1.0         7.0  \n",
      "113927         5.0         9.0         7.0         7.0  \n",
      "113928         7.0         8.0        18.0         8.0  \n",
      "113929        28.0        29.0        28.0        28.0  \n",
      "113930        12.0         9.0         6.0        11.0  \n",
      "113931        15.0        11.0        12.0         9.0  \n",
      "113932         0.0         2.0         1.0         0.0  \n",
      "113933         4.0         5.0         3.0         6.0  \n",
      "113934        11.0         5.0         9.0         7.0  \n",
      "113935         7.0         6.0         3.0         6.0  \n",
      "113936         2.0         1.0         1.0         4.0  \n",
      "113937         0.0         0.0         1.0         0.0  \n",
      "113938        12.0        16.0        13.0        18.0  \n",
      "113939        31.0        16.0        18.0        29.0  \n",
      "113940         3.0         2.0         3.0         0.0  \n",
      "113941         2.0         0.0         0.0         4.0  \n",
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      "113943         2.0         0.0         1.0         2.0  \n",
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      "113945         0.0         1.0         2.0         4.0  \n",
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      "113947         7.0         4.0         5.0         7.0  \n",
      "113948         5.0         7.0        10.0         3.0  \n",
      "113949         3.0         6.0         4.0         4.0  \n",
      "113950         9.0        15.0        16.0         7.0  \n",
      "\n",
      "[24108 rows x 551 columns] \n",
      "\n",
      "KEY :                                                       Page  2015-07-01  \\\n",
      "55714     A-Studio_ja.wikipedia.org_mobile-web_all-agents       102.0   \n",
      "55715      A.B.C-Z_ja.wikipedia.org_mobile-web_all-agents      2366.0   \n",
      "55716   ACE_OF_SPADES_ja.wikipedia.org_mobile-web_all-...        63.0   \n",
      "55717    ALEXANDER_ja.wikipedia.org_mobile-web_all-agents       297.0   \n",
      "55718    ALL_OUT!!_ja.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "55719   ASIAN_KUNG-FU_GENERATION_ja.wikipedia.org_mobi...       750.0   \n",
      "55720       Agatha_ja.wikipedia.org_mobile-web_all-agents        73.0   \n",
      "55721         Aiko_ja.wikipedia.org_mobile-web_all-agents       669.0   \n",
      "55722        Aimer_ja.wikipedia.org_mobile-web_all-agents       790.0   \n",
      "55723    B-PROJECT_ja.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "55724   BLACK_LAGOON_ja.wikipedia.org_mobile-web_all-a...         4.0   \n",
      "55725       BLEACH_ja.wikipedia.org_mobile-web_all-agents      1397.0   \n",
      "55726   BLOODY_MONDAY_ja.wikipedia.org_mobile-web_all-...       574.0   \n",
      "55727   BLUE_ENCOUNT_ja.wikipedia.org_mobile-web_all-a...       912.0   \n",
      "55728      BTOOOM!_ja.wikipedia.org_mobile-web_all-agents       460.0   \n",
      "55729         Chay_ja.wikipedia.org_mobile-web_all-agents       489.0   \n",
      "55730   D.Gray-man_ja.wikipedia.org_mobile-web_all-agents      2235.0   \n",
      "55731        DAIGO_ja.wikipedia.org_mobile-web_all-agents      2002.0   \n",
      "55732   DEATH_NOTE_ja.wikipedia.org_mobile-web_all-agents      5552.0   \n",
      "55733          DQN_ja.wikipedia.org_mobile-web_all-agents      1246.0   \n",
      "55734        DaiGo_ja.wikipedia.org_mobile-web_all-agents      1336.0   \n",
      "55735   Dragon_Ash_ja.wikipedia.org_mobile-web_all-agents       785.0   \n",
      "55736      E-girls_ja.wikipedia.org_mobile-web_all-agents      1358.0   \n",
      "55737         ELLY_ja.wikipedia.org_mobile-web_all-agents      1103.0   \n",
      "55738   EXILE_THE_SECOND_ja.wikipedia.org_mobile-web_a...         0.0   \n",
      "55739          EXO_ja.wikipedia.org_mobile-web_all-agents      2087.0   \n",
      "55740      FISHBOY_ja.wikipedia.org_mobile-web_all-agents       296.0   \n",
      "55741   FUNKY_MONKEY_BABYS_ja.wikipedia.org_mobile-web...       352.0   \n",
      "55742     Facebook_ja.wikipedia.org_mobile-web_all-agents      1665.0   \n",
      "55743   Fate/Grand_Order_ja.wikipedia.org_mobile-web_a...       360.0   \n",
      "...                                                   ...         ...   \n",
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      "136914            嘘の戦争_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136915      スティーブン・バノン_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136916   カミナリ_(お笑いコンビ)_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136917           下剋上受験_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136918  ラミア・ボリビア航空2933便墜落事故_ja.wikipedia.org_all-acces...         0.0   \n",
      "136919     訃報_2016年12月_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136920           奪い愛、冬_ja.wikipedia.org_all-access_spider         0.0   \n",
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      "136923  カルテット_(2017年のテレビドラマ)_ja.wikipedia.org_all-acce...         0.0   \n",
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      "136925             大貧乏_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136926          嫌われる勇気_ja.wikipedia.org_all-access_spider         0.0   \n",
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      "136929       糸魚川市大規模火災_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136930   突然ですが、明日結婚します_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136931         ブルゾンちえみ_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136932   サンドフォード・フレミング_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136933      プレミアムフライデー_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136934            奥山ひよ_ja.wikipedia.org_all-access_spider         0.0   \n",
      "136935  Taka_(ONE_OK_ROCKのメンバー)_ja.wikipedia.org_all-a...         0.0   \n",
      "136936  ミス・ペレグリンと奇妙なこどもたち_(映画)_ja.wikipedia.org_all-ac...         0.0   \n",
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      "136939        学校法人森友学園_ja.wikipedia.org_all-access_spider         0.0   \n",
      "\n",
      "        2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
      "55714        115.0       851.0       568.0       294.0       229.0   \n",
      "55715       1473.0      2292.0      1644.0      1315.0       905.0   \n",
      "55716         68.0        53.0        81.0        60.0        56.0   \n",
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      "55721        635.0       737.0     15534.0      2086.0      1014.0   \n",
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      "55731       8206.0      2037.0      2220.0      2897.0     14325.0   \n",
      "55732       6866.0      5492.0     10324.0    115906.0     54711.0   \n",
      "55733       1348.0      1420.0      1478.0      1660.0      1616.0   \n",
      "55734       1159.0       885.0       878.0       927.0       884.0   \n",
      "55735        634.0       728.0      1192.0      1081.0       775.0   \n",
      "55736       1224.0      1491.0      7028.0      3200.0      2052.0   \n",
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      "55738          0.0         0.0         0.0         0.0         0.0   \n",
      "55739       2242.0      2084.0      2783.0      3430.0      3246.0   \n",
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      "55743        421.0       420.0       336.0       323.0       355.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
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      "136939         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
      "55714        145.0       126.0       173.0     ...           181.0   \n",
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      "55718          1.0         2.0         1.0     ...          1152.0   \n",
      "55719        828.0      1050.0       809.0     ...          1303.0   \n",
      "55720         81.0        91.0        85.0     ...           262.0   \n",
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      "55723          0.0         0.0         0.0     ...           541.0   \n",
      "55724         17.0        11.0         5.0     ...          1233.0   \n",
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      "55726        791.0       674.0       577.0     ...           944.0   \n",
      "55727        472.0       548.0       510.0     ...           403.0   \n",
      "55728        627.0       512.0       461.0     ...          3108.0   \n",
      "55729        559.0       547.0       503.0     ...           405.0   \n",
      "55730       1563.0      1337.0      1180.0     ...           817.0   \n",
      "55731       3635.0      4360.0      4983.0     ...          1590.0   \n",
      "55732      26745.0     19544.0     14950.0     ...           724.0   \n",
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      "55743        323.0       300.0       332.0     ...           831.0   \n",
      "...            ...         ...         ...     ...             ...   \n",
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      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
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      "...            ...         ...         ...         ...         ...   \n",
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      "\n",
      "        2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
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      "...            ...         ...         ...         ...  \n",
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      "\n",
      "[20431 rows x 551 columns] \n",
      "\n",
      "KEY :                                                       Page  2015-07-01  \\\n",
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      "141500         0.0         0.0         0.0         0.0         0.0   \n",
      "141501         0.0         0.0         0.0         0.0         0.0   \n",
      "141502         0.0         0.0         0.0         0.0         0.0   \n",
      "141503         0.0         0.0         0.0         0.0         0.0   \n",
      "141504         0.0         0.0         0.0         0.0         0.0   \n",
      "141505         0.0         0.0         0.0         0.0         0.0   \n",
      "141506         0.0         0.0         0.0         0.0         0.0   \n",
      "141507         0.0         0.0         0.0         0.0         0.0   \n",
      "141508         0.0         0.0         0.0         0.0         0.0   \n",
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      "141510         0.0         0.0         0.0         0.0         0.0   \n",
      "141511         0.0         0.0         0.0         0.0         0.0   \n",
      "141512         0.0         0.0         0.0         0.0         0.0   \n",
      "141513         0.0         0.0         0.0         0.0         0.0   \n",
      "141514         0.0         0.0         0.0         0.0         0.0   \n",
      "141515         0.0         0.0         0.0         0.0         0.0   \n",
      "141516         0.0         0.0         0.0         0.0         0.0   \n",
      "141517         0.0         0.0         0.0         0.0         0.0   \n",
      "141518         0.0         0.0         0.0         0.0         0.0   \n",
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      "141520         0.0         0.0         0.0         0.0         0.0   \n",
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      "141522         0.0         0.0         0.0         0.0         0.0   \n",
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      "141524         0.0         0.0         0.0         0.0         0.0   \n",
      "141525         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
      "46371          0.0         0.0         0.0     ...             6.0   \n",
      "46372          6.0         5.0        12.0     ...            15.0   \n",
      "46373          1.0         4.0         5.0     ...            12.0   \n",
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      "46375          0.0         0.0         0.0     ...             3.0   \n",
      "46376          6.0         5.0         8.0     ...            25.0   \n",
      "46377          6.0        11.0        11.0     ...             8.0   \n",
      "46378          5.0         6.0         4.0     ...             7.0   \n",
      "46379          9.0        21.0         6.0     ...            12.0   \n",
      "46380          3.0         2.0         4.0     ...             3.0   \n",
      "46381          6.0         6.0         2.0     ...             3.0   \n",
      "46382          9.0         8.0         5.0     ...            17.0   \n",
      "46383          9.0         4.0         1.0     ...             8.0   \n",
      "46384          6.0         7.0         4.0     ...            11.0   \n",
      "46385          5.0        13.0         5.0     ...            10.0   \n",
      "46386          0.0         2.0         1.0     ...             0.0   \n",
      "46387          0.0         1.0         5.0     ...             7.0   \n",
      "46388         13.0        30.0        13.0     ...            27.0   \n",
      "46389          7.0        10.0         6.0     ...            13.0   \n",
      "46390          9.0         4.0         7.0     ...             7.0   \n",
      "46391          1.0         5.0         4.0     ...             5.0   \n",
      "46392          2.0         0.0         6.0     ...             7.0   \n",
      "46393          2.0         1.0         3.0     ...            10.0   \n",
      "46394          1.0         4.0         2.0     ...             3.0   \n",
      "46395          3.0         8.0         8.0     ...            20.0   \n",
      "46396          6.0         5.0        17.0     ...             6.0   \n",
      "46397          5.0         8.0         7.0     ...           136.0   \n",
      "46398          4.0         7.0         2.0     ...             9.0   \n",
      "46399          2.0         4.0         3.0     ...            11.0   \n",
      "46400          0.0         0.0         0.0     ...             0.0   \n",
      "...            ...         ...         ...     ...             ...   \n",
      "141496         0.0         0.0         0.0     ...           371.0   \n",
      "141497         0.0         0.0         0.0     ...             4.0   \n",
      "141498         0.0         0.0         0.0     ...           357.0   \n",
      "141499         0.0         0.0         0.0     ...             1.0   \n",
      "141500         0.0         0.0         0.0     ...          1204.0   \n",
      "141501         0.0         0.0         0.0     ...            71.0   \n",
      "141502         0.0         0.0         0.0     ...            73.0   \n",
      "141503         0.0         0.0         0.0     ...           193.0   \n",
      "141504         0.0         0.0         0.0     ...          1341.0   \n",
      "141505         0.0         0.0         0.0     ...          1684.0   \n",
      "141506         0.0         0.0         0.0     ...           405.0   \n",
      "141507         0.0         0.0         0.0     ...           450.0   \n",
      "141508         0.0         0.0         0.0     ...            11.0   \n",
      "141509         0.0         0.0         0.0     ...          3508.0   \n",
      "141510         0.0         0.0         0.0     ...          1655.0   \n",
      "141511         0.0         0.0         0.0     ...           146.0   \n",
      "141512         0.0         0.0         0.0     ...            17.0   \n",
      "141513         0.0         0.0         0.0     ...            86.0   \n",
      "141514         0.0         0.0         0.0     ...           267.0   \n",
      "141515         0.0         0.0         0.0     ...          3237.0   \n",
      "141516         0.0         0.0         0.0     ...           164.0   \n",
      "141517         0.0         0.0         0.0     ...            91.0   \n",
      "141518         0.0         0.0         0.0     ...           283.0   \n",
      "141519         0.0         0.0         0.0     ...           261.0   \n",
      "141520         0.0         0.0         0.0     ...            44.0   \n",
      "141521         0.0         0.0         0.0     ...         24270.0   \n",
      "141522         0.0         0.0         0.0     ...             0.0   \n",
      "141523         0.0         0.0         0.0     ...             0.0   \n",
      "141524         0.0         0.0         0.0     ...             0.0   \n",
      "141525         0.0         0.0         0.0     ...             0.0   \n",
      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
      "46371          6.0         3.0         6.0         3.0         5.0   \n",
      "46372          7.0        15.0        13.0        18.0        13.0   \n",
      "46373          7.0         8.0         5.0         2.0         7.0   \n",
      "46374         34.0        19.0        16.0        19.0        12.0   \n",
      "46375          0.0         8.0         7.0         0.0         3.0   \n",
      "46376         62.0        42.0        18.0        11.0        28.0   \n",
      "46377          7.0         7.0        11.0         7.0        11.0   \n",
      "46378          9.0        12.0         7.0         7.0         2.0   \n",
      "46379          5.0        12.0         9.0         2.0         7.0   \n",
      "46380          3.0         5.0         1.0         0.0         5.0   \n",
      "46381          6.0        15.0        13.0        10.0        27.0   \n",
      "46382         10.0        24.0        47.0        10.0        24.0   \n",
      "46383          5.0        14.0         5.0         4.0         5.0   \n",
      "46384         10.0         7.0         6.0         5.0         5.0   \n",
      "46385         11.0        11.0         6.0        10.0         9.0   \n",
      "46386          0.0         2.0         2.0         1.0         2.0   \n",
      "46387          0.0         4.0         4.0         1.0         0.0   \n",
      "46388         28.0        29.0        58.0        28.0        26.0   \n",
      "46389         14.0        14.0        47.0        37.0        19.0   \n",
      "46390          7.0         7.0         8.0         0.0         0.0   \n",
      "46391          7.0        13.0        15.0         8.0         6.0   \n",
      "46392          6.0        10.0         6.0         1.0         4.0   \n",
      "46393         21.0        12.0         7.0         8.0        11.0   \n",
      "46394          1.0         6.0         0.0         3.0         7.0   \n",
      "46395          6.0        17.0        14.0         9.0        11.0   \n",
      "46396          0.0         5.0         7.0         1.0         3.0   \n",
      "46397        146.0        56.0        17.0        10.0        14.0   \n",
      "46398          6.0         8.0         3.0         8.0         6.0   \n",
      "46399          8.0         9.0         8.0         4.0         7.0   \n",
      "46400          0.0         2.0         2.0         0.0         2.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "141496       272.0       238.0       536.0       487.0       423.0   \n",
      "141497         6.0         2.0         2.0         3.0         5.0   \n",
      "141498       248.0       207.0       298.0       337.0       501.0   \n",
      "141499         0.0         1.0         1.0         0.0         0.0   \n",
      "141500       952.0       499.0       406.0       752.0       687.0   \n",
      "141501        62.0        27.0        32.0        25.0        38.0   \n",
      "141502        90.0        52.0        32.0        51.0        36.0   \n",
      "141503       205.0       227.0       293.0       319.0       308.0   \n",
      "141504      1431.0      1273.0      1375.0      1556.0      1297.0   \n",
      "141505      1995.0      2183.0      2221.0      2018.0      1743.0   \n",
      "141506       299.0       278.0       415.0       543.0       380.0   \n",
      "141507       627.0       421.0     11620.0     19834.0     20426.0   \n",
      "141508        28.0         9.0         7.0         5.0         4.0   \n",
      "141509      1241.0       460.0       617.0       772.0       712.0   \n",
      "141510      1767.0      1531.0      2335.0      3691.0      6531.0   \n",
      "141511       121.0        93.0       136.0       183.0       207.0   \n",
      "141512        12.0        13.0        11.0        18.0        18.0   \n",
      "141513        70.0        45.0        81.0        89.0       116.0   \n",
      "141514       215.0       168.0       242.0       232.0       226.0   \n",
      "141515      2616.0      2103.0      3628.0      3843.0      4360.0   \n",
      "141516       144.0       115.0       167.0       179.0       200.0   \n",
      "141517       181.0       168.0       186.0       278.0       348.0   \n",
      "141518       220.0       115.0       156.0       224.0       289.0   \n",
      "141519       410.0       269.0       440.0       551.0       590.0   \n",
      "141520        21.0        24.0        23.0        64.0       657.0   \n",
      "141521     21360.0      8213.0      5464.0      2997.0      3807.0   \n",
      "141522         0.0         0.0         0.0       151.0       184.0   \n",
      "141523         0.0         0.0         0.0        77.0       155.0   \n",
      "141524         0.0         0.0         0.0     12268.0     39045.0   \n",
      "141525         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
      "46371          4.0         3.0         6.0         3.0  \n",
      "46372         13.0        14.0        13.0        13.0  \n",
      "46373          3.0         5.0         6.0         8.0  \n",
      "46374         41.0        15.0        13.0        18.0  \n",
      "46375          6.0         0.0         1.0         4.0  \n",
      "46376         23.0        33.0        38.0        31.0  \n",
      "46377          8.0        12.0         8.0        11.0  \n",
      "46378         11.0         4.0         3.0         8.0  \n",
      "46379          3.0         5.0         7.0         8.0  \n",
      "46380          4.0         1.0         1.0         3.0  \n",
      "46381         15.0        15.0         8.0         8.0  \n",
      "46382          7.0        11.0        12.0        14.0  \n",
      "46383         11.0         3.0         4.0         5.0  \n",
      "46384          9.0        12.0         9.0         9.0  \n",
      "46385         11.0         8.0        17.0         9.0  \n",
      "46386          0.0         1.0         5.0         1.0  \n",
      "46387          1.0         5.0         0.0         9.0  \n",
      "46388         46.0        39.0        76.0        70.0  \n",
      "46389         27.0        19.0        53.0        56.0  \n",
      "46390          5.0         8.0         4.0         5.0  \n",
      "46391          7.0        12.0         2.0         5.0  \n",
      "46392         11.0         2.0         2.0         6.0  \n",
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      "46395          6.0        12.0         7.0         7.0  \n",
      "46396          4.0         1.0         2.0         4.0  \n",
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      "46398          6.0         9.0        12.0         9.0  \n",
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      "...            ...         ...         ...         ...  \n",
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      "\n",
      "[18547 rows x 551 columns] \n",
      "\n",
      "KEY :                                                       Page  2015-07-01  \\\n",
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      "4322             Abat_fr.wikipedia.org_desktop_all-agents        56.0   \n",
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      "131925  Guyane_(série_télévisée)_fr.wikipedia.org_all-...         0.0   \n",
      "131926   Décès_en_2017_fr.wikipedia.org_all-access_spider         0.0   \n",
      "131927  Racines_(mini-série,_2016)_fr.wikipedia.org_al...         0.0   \n",
      "131928  Glacé_(série_télévisée)_fr.wikipedia.org_all-a...         0.0   \n",
      "131929  22.11.63_(série_télévisée)_fr.wikipedia.org_al...         0.0   \n",
      "131930  Décès_en_février_2017_fr.wikipedia.org_all-acc...         0.0   \n",
      "131931    Antonin_Lévy_fr.wikipedia.org_all-access_spider         0.0   \n",
      "131932    Affaire_Théo_fr.wikipedia.org_all-access_spider         0.0   \n",
      "\n",
      "        2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
      "4310           0.0         0.0         0.0         0.0         0.0   \n",
      "4311         438.0       351.0       259.0       329.0       383.0   \n",
      "4312         188.0       208.0       169.0       170.0       172.0   \n",
      "4313          14.0        20.0         8.0        10.0        26.0   \n",
      "4314         200.0       179.0       183.0       204.0       204.0   \n",
      "4315          79.0        79.0        92.0        97.0        75.0   \n",
      "4316          32.0        31.0        18.0        29.0        31.0   \n",
      "4317         117.0        91.0        96.0        97.0       110.0   \n",
      "4318         408.0       413.0       421.0       440.0       524.0   \n",
      "4319         947.0       790.0       772.0       854.0       878.0   \n",
      "4320          66.0        81.0        55.0        58.0        47.0   \n",
      "4321           0.0         0.0         0.0         0.0         0.0   \n",
      "4322          43.0        63.0        32.0        48.0        65.0   \n",
      "4323           3.0         5.0         4.0         3.0         8.0   \n",
      "4324           4.0         5.0         5.0         5.0         2.0   \n",
      "4325          44.0        37.0        53.0        48.0        36.0   \n",
      "4326        2209.0      1647.0      1328.0       977.0      1077.0   \n",
      "4327         228.0       241.0       228.0       186.0       249.0   \n",
      "4328         291.0       259.0       151.0       168.0       297.0   \n",
      "4329          15.0        15.0        15.0        10.0        25.0   \n",
      "4330         476.0       375.0       231.0       196.0       455.0   \n",
      "4331         570.0       457.0       205.0       183.0       587.0   \n",
      "4332         143.0        93.0        74.0       115.0       111.0   \n",
      "4333         291.0       282.0       301.0       296.0       293.0   \n",
      "4334         624.0       221.0        99.0        98.0       118.0   \n",
      "4335         905.0       993.0       865.0       824.0       863.0   \n",
      "4336         483.0       399.0       260.0       272.0       480.0   \n",
      "4337          19.0         9.0        19.0        23.0        25.0   \n",
      "4338         489.0       336.0       281.0       245.0       295.0   \n",
      "4339          34.0        33.0        17.0        26.0        27.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "131903         0.0         0.0         0.0         0.0         0.0   \n",
      "131904         0.0         0.0         0.0         0.0         0.0   \n",
      "131905         0.0         0.0         0.0         0.0         0.0   \n",
      "131906         0.0         0.0         0.0         0.0         0.0   \n",
      "131907         0.0         0.0         0.0         0.0         0.0   \n",
      "131908         0.0         0.0         0.0         0.0         0.0   \n",
      "131909         0.0         0.0         0.0         0.0         0.0   \n",
      "131910         0.0         0.0         0.0         0.0         0.0   \n",
      "131911         0.0         0.0         0.0         0.0         0.0   \n",
      "131912         0.0         0.0         0.0         0.0         0.0   \n",
      "131913         0.0         0.0         0.0         0.0         0.0   \n",
      "131914         0.0         0.0         0.0         0.0         0.0   \n",
      "131915         0.0         0.0         0.0         0.0         0.0   \n",
      "131916         0.0         0.0         0.0         0.0         0.0   \n",
      "131917         0.0         0.0         0.0         0.0         0.0   \n",
      "131918         0.0         0.0         0.0         0.0         0.0   \n",
      "131919         0.0         0.0         0.0         0.0         0.0   \n",
      "131920         0.0         0.0         0.0         0.0         0.0   \n",
      "131921         0.0         0.0         0.0         0.0         0.0   \n",
      "131922         0.0         0.0         0.0         0.0         0.0   \n",
      "131923         0.0         0.0         0.0         0.0         0.0   \n",
      "131924         0.0         0.0         0.0         0.0         0.0   \n",
      "131925         0.0         0.0         0.0         0.0         0.0   \n",
      "131926         0.0         0.0         0.0         0.0         0.0   \n",
      "131927         0.0         0.0         0.0         0.0         0.0   \n",
      "131928         0.0         0.0         0.0         0.0         0.0   \n",
      "131929         0.0         0.0         0.0         0.0         0.0   \n",
      "131930         0.0         0.0         0.0         0.0         0.0   \n",
      "131931         0.0         0.0         0.0         0.0         0.0   \n",
      "131932         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
      "4310           0.0         0.0         0.0     ...           177.0   \n",
      "4311         361.0       333.0       327.0     ...           535.0   \n",
      "4312         147.0       194.0       143.0     ...           168.0   \n",
      "4313          24.0        17.0         9.0     ...            45.0   \n",
      "4314         212.0       212.0       185.0     ...           496.0   \n",
      "4315          73.0        65.0        73.0     ...            98.0   \n",
      "4316          14.0        26.0        32.0     ...            22.0   \n",
      "4317         133.0       116.0       112.0     ...           110.0   \n",
      "4318         509.0       546.0       508.0     ...          1972.0   \n",
      "4319        1328.0       879.0      1527.0     ...           691.0   \n",
      "4320          53.0        43.0        44.0     ...            93.0   \n",
      "4321           0.0         0.0         0.0     ...             0.0   \n",
      "4322          75.0        64.0        73.0     ...            51.0   \n",
      "4323           3.0        11.0        15.0     ...             7.0   \n",
      "4324           2.0         3.0         6.0     ...            28.0   \n",
      "4325          69.0        48.0        50.0     ...            49.0   \n",
      "4326         969.0       788.0       389.0     ...           264.0   \n",
      "4327         203.0       238.0       183.0     ...          1214.0   \n",
      "4328         315.0       314.0       291.0     ...           295.0   \n",
      "4329          13.0        31.0        17.0     ...            15.0   \n",
      "4330         459.0       493.0       431.0     ...           551.0   \n",
      "4331         625.0       614.0       595.0     ...           555.0   \n",
      "4332         151.0       132.0       105.0     ...           642.0   \n",
      "4333         280.0       405.0       285.0     ...           451.0   \n",
      "4334         617.0       221.0       123.0     ...            54.0   \n",
      "4335         892.0       822.0       817.0     ...          1615.0   \n",
      "4336         535.0       522.0       526.0     ...           561.0   \n",
      "4337          17.0        23.0        20.0     ...            53.0   \n",
      "4338         354.0       344.0       297.0     ...           529.0   \n",
      "4339          18.0        47.0        29.0     ...            36.0   \n",
      "...            ...         ...         ...     ...             ...   \n",
      "131903         0.0         0.0         0.0     ...            47.0   \n",
      "131904         0.0         0.0         0.0     ...             9.0   \n",
      "131905         0.0         0.0         0.0     ...             4.0   \n",
      "131906         0.0         0.0         0.0     ...             6.0   \n",
      "131907         0.0         0.0         0.0     ...             6.0   \n",
      "131908         0.0         0.0         0.0     ...            22.0   \n",
      "131909         0.0         0.0         0.0     ...             1.0   \n",
      "131910         0.0         0.0         0.0     ...             2.0   \n",
      "131911         0.0         0.0         0.0     ...             1.0   \n",
      "131912         0.0         0.0         0.0     ...             6.0   \n",
      "131913         0.0         0.0         0.0     ...             2.0   \n",
      "131914         0.0         0.0         0.0     ...           119.0   \n",
      "131915         0.0         0.0         0.0     ...             1.0   \n",
      "131916         0.0         0.0         0.0     ...             5.0   \n",
      "131917         0.0         0.0         0.0     ...             9.0   \n",
      "131918         0.0         0.0         0.0     ...             2.0   \n",
      "131919         0.0         0.0         0.0     ...             2.0   \n",
      "131920         0.0         0.0         0.0     ...            56.0   \n",
      "131921         0.0         0.0         0.0     ...             1.0   \n",
      "131922         0.0         0.0         0.0     ...            60.0   \n",
      "131923         0.0         0.0         0.0     ...            19.0   \n",
      "131924         0.0         0.0         0.0     ...           661.0   \n",
      "131925         0.0         0.0         0.0     ...            24.0   \n",
      "131926         0.0         0.0         0.0     ...             0.0   \n",
      "131927         0.0         0.0         0.0     ...             0.0   \n",
      "131928         0.0         0.0         0.0     ...             0.0   \n",
      "131929         0.0         0.0         0.0     ...             0.0   \n",
      "131930         0.0         0.0         0.0     ...             0.0   \n",
      "131931         0.0         0.0         0.0     ...             0.0   \n",
      "131932         0.0         0.0         0.0     ...             0.0   \n",
      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
      "4310         167.0       135.0       205.0       225.0       246.0   \n",
      "4311         427.0       287.0       299.0       531.0       482.0   \n",
      "4312         183.0       125.0       120.0       199.0       187.0   \n",
      "4313          49.0        48.0        26.0        50.0        59.0   \n",
      "4314         367.0       246.0      1039.0       499.0       445.0   \n",
      "4315          76.0        50.0        67.0       100.0        76.0   \n",
      "4316          22.0        20.0        15.0        28.0        20.0   \n",
      "4317         103.0        66.0        63.0       109.0       114.0   \n",
      "4318        1741.0      1532.0      1759.0      1914.0      1836.0   \n",
      "4319         657.0       734.0       576.0       698.0       662.0   \n",
      "4320          78.0        61.0        60.0        66.0        61.0   \n",
      "4321          32.0        84.0        29.0        33.0        41.0   \n",
      "4322          59.0        55.0        43.0        54.0        66.0   \n",
      "4323           0.0         5.0         5.0        10.0        10.0   \n",
      "4324          19.0        17.0        16.0        21.0        23.0   \n",
      "4325          46.0        53.0        65.0        34.0        50.0   \n",
      "4326         384.0       245.0       198.0       210.0       205.0   \n",
      "4327        1019.0       304.0       274.0       441.0       546.0   \n",
      "4328         250.0       128.0       169.0       236.0       269.0   \n",
      "4329          15.0         9.0         5.0        11.0        11.0   \n",
      "4330         395.0       247.0       232.0       450.0       439.0   \n",
      "4331         447.0       185.0       180.0       326.0       355.0   \n",
      "4332         598.0       493.0       545.0       630.0       967.0   \n",
      "4333         429.0       392.0       353.0       468.0       447.0   \n",
      "4334          48.0        49.0        51.0        74.0       106.0   \n",
      "4335        1263.0       894.0      1000.0      1674.0      1494.0   \n",
      "4336         453.0       305.0       302.0       453.0       517.0   \n",
      "4337          52.0        30.0        66.0        70.0        82.0   \n",
      "4338         388.0       240.0       280.0       701.0      1524.0   \n",
      "4339          28.0        19.0        34.0        43.0        91.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "131903         8.0         5.0         4.0         4.0         1.0   \n",
      "131904        24.0        12.0         7.0        30.0         5.0   \n",
      "131905         2.0         3.0         7.0        28.0         2.0   \n",
      "131906        17.0         5.0         1.0         5.0         6.0   \n",
      "131907         2.0         4.0         2.0         6.0         2.0   \n",
      "131908         7.0         5.0        27.0        17.0         3.0   \n",
      "131909         2.0         2.0         2.0         3.0         1.0   \n",
      "131910         4.0         7.0         5.0        30.0        21.0   \n",
      "131911         0.0         4.0         2.0         3.0        13.0   \n",
      "131912         6.0         7.0         5.0         4.0         2.0   \n",
      "131913         2.0         4.0         4.0         2.0         3.0   \n",
      "131914       108.0        73.0        25.0        13.0        32.0   \n",
      "131915         1.0         2.0         3.0         2.0         2.0   \n",
      "131916         4.0        23.0         6.0         4.0         6.0   \n",
      "131917         4.0         5.0        14.0        14.0         7.0   \n",
      "131918         2.0         1.0         2.0         7.0         0.0   \n",
      "131919         4.0         6.0         4.0         8.0         3.0   \n",
      "131920        13.0        15.0         4.0        20.0         6.0   \n",
      "131921         2.0         3.0         0.0         3.0         2.0   \n",
      "131922         6.0         5.0         3.0         5.0        28.0   \n",
      "131923         6.0         9.0         4.0         5.0        14.0   \n",
      "131924       581.0       278.0       102.0       107.0        40.0   \n",
      "131925        14.0         4.0         3.0         4.0         0.0   \n",
      "131926         0.0         0.0         0.0        11.0         7.0   \n",
      "131927         0.0         0.0         0.0         0.0         0.0   \n",
      "131928         0.0         0.0         0.0         0.0         0.0   \n",
      "131929         0.0         0.0         0.0         0.0         0.0   \n",
      "131930         0.0         0.0         0.0         0.0         0.0   \n",
      "131931         0.0         0.0         0.0         0.0         0.0   \n",
      "131932         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
      "4310         264.0       218.0       256.0       173.0  \n",
      "4311         526.0       556.0       512.0       409.0  \n",
      "4312         276.0       190.0       193.0       149.0  \n",
      "4313          60.0        53.0        45.0        40.0  \n",
      "4314         413.0       375.0       359.0       297.0  \n",
      "4315          87.0        85.0       241.0        64.0  \n",
      "4316          36.0        23.0        29.0        20.0  \n",
      "4317         107.0        81.0       109.0       108.0  \n",
      "4318        1757.0      1893.0      1677.0      1471.0  \n",
      "4319         720.0       654.0       724.0       715.0  \n",
      "4320          68.0        85.0        99.0        64.0  \n",
      "4321          61.0        49.0        51.0        45.0  \n",
      "4322          92.0        70.0        52.0        46.0  \n",
      "4323           4.0         8.0         6.0         4.0  \n",
      "4324          21.0        36.0        27.0        12.0  \n",
      "4325          48.0        63.0        69.0        52.0  \n",
      "4326         203.0       242.0       241.0       270.0  \n",
      "4327         538.0       520.0       506.0       358.0  \n",
      "4328         276.0       304.0       327.0       174.0  \n",
      "4329          11.0        16.0         8.0         7.0  \n",
      "4330         474.0       792.0       412.0       315.0  \n",
      "4331         355.0       406.0       287.0       193.0  \n",
      "4332        1031.0       839.0       713.0       441.0  \n",
      "4333         806.0       487.0       537.0       462.0  \n",
      "4334         153.0       140.0       107.0        62.0  \n",
      "4335        1506.0      1674.0      1618.0      1263.0  \n",
      "4336         506.0       473.0       510.0       307.0  \n",
      "4337         110.0       112.0        83.0        26.0  \n",
      "4338         705.0       771.0       510.0       389.0  \n",
      "4339          52.0        44.0        40.0        23.0  \n",
      "...            ...         ...         ...         ...  \n",
      "131903        21.0         7.0         7.0        12.0  \n",
      "131904         8.0        14.0         9.0         9.0  \n",
      "131905         3.0        23.0         9.0         5.0  \n",
      "131906        14.0        11.0         8.0         5.0  \n",
      "131907         2.0        14.0        10.0         5.0  \n",
      "131908        10.0         6.0         9.0         7.0  \n",
      "131909         2.0         2.0         2.0         3.0  \n",
      "131910         6.0         4.0         7.0         9.0  \n",
      "131911         5.0         5.0         2.0         3.0  \n",
      "131912         0.0         4.0         3.0         0.0  \n",
      "131913         3.0         2.0        11.0         7.0  \n",
      "131914        41.0        46.0         3.0         4.0  \n",
      "131915         4.0         1.0         4.0         3.0  \n",
      "131916         7.0         9.0         7.0         6.0  \n",
      "131917         7.0         3.0        14.0        10.0  \n",
      "131918         3.0         1.0         3.0         1.0  \n",
      "131919         6.0         8.0         6.0         6.0  \n",
      "131920         8.0        10.0        21.0         7.0  \n",
      "131921         3.0        29.0         7.0        40.0  \n",
      "131922        18.0        97.0        10.0         6.0  \n",
      "131923        50.0        30.0         1.0         2.0  \n",
      "131924        91.0       120.0       118.0         7.0  \n",
      "131925         2.0         3.0         2.0         3.0  \n",
      "131926         2.0         5.0         4.0         4.0  \n",
      "131927         0.0         0.0         0.0         0.0  \n",
      "131928         0.0         0.0         0.0         0.0  \n",
      "131929         0.0         0.0         0.0         0.0  \n",
      "131930         0.0         0.0         0.0         0.0  \n",
      "131931         0.0         0.0         0.0         0.0  \n",
      "131932         0.0         0.0         0.0         0.0  \n",
      "\n",
      "[17802 rows x 551 columns] \n",
      "\n",
      "KEY :                                                       Page  2015-07-01  \\\n",
      "15882        14/88_ru.wikipedia.org_mobile-web_all-agents       870.0   \n",
      "15883   5sta_Family_ru.wikipedia.org_mobile-web_all-ag...       982.0   \n",
      "15884         ABBA_ru.wikipedia.org_mobile-web_all-agents       253.0   \n",
      "15885       Adidas_ru.wikipedia.org_mobile-web_all-agents       285.0   \n",
      "15886     Alekseev_ru.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "15887      Android_ru.wikipedia.org_mobile-web_all-agents       631.0   \n",
      "15888        Apple_ru.wikipedia.org_mobile-web_all-agents       391.0   \n",
      "15889     Avito.ru_ru.wikipedia.org_mobile-web_all-agents       398.0   \n",
      "15890          BMW_ru.wikipedia.org_mobile-web_all-agents       493.0   \n",
      "15891   Bangtan_Boys_ru.wikipedia.org_mobile-web_all-a...       217.0   \n",
      "15892   Black_Star_Inc._ru.wikipedia.org_mobile-web_al...      1369.0   \n",
      "15893   Boeing_737_ru.wikipedia.org_mobile-web_all-agents       414.0   \n",
      "15894   C._C._Catch_ru.wikipedia.org_mobile-web_all-ag...       171.0   \n",
      "15895   Carla's_Dreams_ru.wikipedia.org_mobile-web_all...         0.0   \n",
      "15896   Comedy_Club_ru.wikipedia.org_mobile-web_all-ag...       784.0   \n",
      "15897   Comedy_Woman_ru.wikipedia.org_mobile-web_all-a...       930.0   \n",
      "15898    DC_Comics_ru.wikipedia.org_mobile-web_all-agents       352.0   \n",
      "15899   Dark_Souls_III_ru.wikipedia.org_mobile-web_all...        29.0   \n",
      "15900   Die_Antwoord_ru.wikipedia.org_mobile-web_all-a...      1016.0   \n",
      "15901      Dr._Dre_ru.wikipedia.org_mobile-web_all-agents       253.0   \n",
      "15902          EXO_ru.wikipedia.org_mobile-web_all-agents      1048.0   \n",
      "15903       Eazy-E_ru.wikipedia.org_mobile-web_all-agents       117.0   \n",
      "15904         Emin_ru.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "15905      FIFA_17_ru.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "15906     Facebook_ru.wikipedia.org_mobile-web_all-agents       566.0   \n",
      "15907    Firewatch_ru.wikipedia.org_mobile-web_all-agents         0.0   \n",
      "15908     Flydubai_ru.wikipedia.org_mobile-web_all-agents        24.0   \n",
      "15909       Google_ru.wikipedia.org_mobile-web_all-agents       517.0   \n",
      "15910   Grand_Theft_Auto_V_ru.wikipedia.org_mobile-web...       732.0   \n",
      "15911          Guf_ru.wikipedia.org_mobile-web_all-agents       728.0   \n",
      "...                                                   ...         ...   \n",
      "127403    Молодой_Папа_ru.wikipedia.org_all-access_spider         0.0   \n",
      "127404  Клон_(телесериал,_2001)_ru.wikipedia.org_all-a...         0.0   \n",
      "127405  Летучая-Анашенкова,_Елена_Александровна_ru.wik...         0.0   \n",
      "127406  Таинственная_страсть_ru.wikipedia.org_all-acce...         0.0   \n",
      "127407  Три_икса:_Мировое_господство_ru.wikipedia.org_...         0.0   \n",
      "127408  Комиссаров,_Юрий_Данилович_ru.wikipedia.org_al...         0.0   \n",
      "127409  Золотой_глобус_(премия,_2017)_ru.wikipedia.org...         0.0   \n",
      "127410  Кушнер,_Джаред_ru.wikipedia.org_all-access_spider         0.0   \n",
      "127411  Призрачная_красота_ru.wikipedia.org_all-access...         0.0   \n",
      "127412  Великолепный_век._Империя_Кёсем_ru.wikipedia.o...         0.0   \n",
      "127413     Трамп,_Эрик_ru.wikipedia.org_all-access_spider         0.0   \n",
      "127414  Трамп,_Тиффани_ru.wikipedia.org_all-access_spider         0.0   \n",
      "127415  София_(телесериал)_ru.wikipedia.org_all-access...         0.0   \n",
      "127416  Дом_странных_детей_мисс_Перегрин_(фильм)_ru.wi...         0.0   \n",
      "127417  Мстители:_Война_бесконечности_ru.wikipedia.org...         0.0   \n",
      "127418  Список_эпизодов_телесериала_«Отель_Элеон»_ru.w...         0.0   \n",
      "127419  Кеннеди,_Джон_Фицджералд_ru.wikipedia.org_all-...         0.0   \n",
      "127420  Бикович,_Милош_(актёр)_ru.wikipedia.org_all-ac...         0.0   \n",
      "127421  Вы_все_меня_бесите!_ru.wikipedia.org_all-acces...         0.0   \n",
      "127422  Убийство_Андрея_Карлова_ru.wikipedia.org_all-a...         0.0   \n",
      "127423  Катастрофа_Ту-154_под_Сочи_ru.wikipedia.org_al...         0.0   \n",
      "127424  Ривердэйл_(телесериал)_ru.wikipedia.org_all-ac...         0.0   \n",
      "127425  Манчестер_у_моря_ru.wikipedia.org_all-access_s...         0.0   \n",
      "127426  Стыд_(телесериал)_ru.wikipedia.org_all-access_...         0.0   \n",
      "127427  Шерлок_при_смерти_ru.wikipedia.org_all-access_...         0.0   \n",
      "127428  Лунный_свет_(фильм,_2016)_ru.wikipedia.org_all...         0.0   \n",
      "127429  Петров,_Владимир_Владимирович_(хоккеист)_ru.wi...         0.0   \n",
      "127430  Адаптация_(телесериал)_ru.wikipedia.org_all-ac...         0.0   \n",
      "127431            Ждун_ru.wikipedia.org_all-access_spider         0.0   \n",
      "127432  Изнасилование_Дианы_Шурыгиной_ru.wikipedia.org...         0.0   \n",
      "\n",
      "        2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
      "15882        901.0      1034.0       773.0       759.0       776.0   \n",
      "15883        897.0      1046.0      1159.0      1150.0      1139.0   \n",
      "15884        266.0      5710.0      1625.0       567.0       277.0   \n",
      "15885        284.0       351.0       349.0       343.0       359.0   \n",
      "15886          0.0         0.0         0.0         0.0         0.0   \n",
      "15887        559.0       636.0       633.0       627.0       622.0   \n",
      "15888        490.0       436.0       510.0       442.0       440.0   \n",
      "15889        393.0       328.0       329.0       333.0       396.0   \n",
      "15890        467.0       509.0       492.0       547.0       571.0   \n",
      "15891        260.0       249.0       231.0       241.0       255.0   \n",
      "15892       1394.0      1478.0      2021.0      1584.0      1648.0   \n",
      "15893        464.0       440.0       409.0       461.0       408.0   \n",
      "15894        126.0       160.0       211.0       177.0       171.0   \n",
      "15895          0.0         0.0         0.0         0.0         0.0   \n",
      "15896        769.0      1188.0      1757.0      1077.0       934.0   \n",
      "15897        903.0      1483.0       892.0      1688.0       895.0   \n",
      "15898        310.0       336.0       388.0       433.0       450.0   \n",
      "15899         29.0        13.0        30.0        36.0        16.0   \n",
      "15900       1035.0      1042.0      1266.0      1345.0      1151.0   \n",
      "15901        248.0       325.0       239.0       294.0       290.0   \n",
      "15902       1058.0       876.0       920.0       912.0      1007.0   \n",
      "15903        113.0       103.0        82.0        92.0        81.0   \n",
      "15904          0.0         0.0         0.0         0.0         0.0   \n",
      "15905          0.0         0.0         0.0         0.0         0.0   \n",
      "15906        659.0       515.0       536.0       620.0       527.0   \n",
      "15907          0.0         0.0         0.0         0.0         0.0   \n",
      "15908          8.0        19.0        11.0        13.0         9.0   \n",
      "15909        554.0       531.0       585.0       568.0       579.0   \n",
      "15910        729.0       806.0       785.0       856.0       701.0   \n",
      "15911        762.0       932.0       837.0       942.0       888.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "127403         0.0         0.0         0.0         0.0         0.0   \n",
      "127404         0.0         0.0         0.0         0.0         0.0   \n",
      "127405         0.0         0.0         0.0         0.0         0.0   \n",
      "127406         0.0         0.0         0.0         0.0         0.0   \n",
      "127407         0.0         0.0         0.0         0.0         0.0   \n",
      "127408         0.0         0.0         0.0         0.0         0.0   \n",
      "127409         0.0         0.0         0.0         0.0         0.0   \n",
      "127410         0.0         0.0         0.0         0.0         0.0   \n",
      "127411         0.0         0.0         0.0         0.0         0.0   \n",
      "127412         0.0         0.0         0.0         0.0         0.0   \n",
      "127413         0.0         0.0         0.0         0.0         0.0   \n",
      "127414         0.0         0.0         0.0         0.0         0.0   \n",
      "127415         0.0         0.0         0.0         0.0         0.0   \n",
      "127416         0.0         0.0         0.0         0.0         0.0   \n",
      "127417         0.0         0.0         0.0         0.0         0.0   \n",
      "127418         0.0         0.0         0.0         0.0         0.0   \n",
      "127419         0.0         0.0         0.0         0.0         0.0   \n",
      "127420         0.0         0.0         0.0         0.0         0.0   \n",
      "127421         0.0         0.0         0.0         0.0         0.0   \n",
      "127422         0.0         0.0         0.0         0.0         0.0   \n",
      "127423         0.0         0.0         0.0         0.0         0.0   \n",
      "127424         0.0         0.0         0.0         0.0         0.0   \n",
      "127425         0.0         0.0         0.0         0.0         0.0   \n",
      "127426         0.0         0.0         0.0         0.0         0.0   \n",
      "127427         0.0         0.0         0.0         0.0         0.0   \n",
      "127428         0.0         0.0         0.0         0.0         0.0   \n",
      "127429         0.0         0.0         0.0         0.0         0.0   \n",
      "127430         0.0         0.0         0.0         0.0         0.0   \n",
      "127431         0.0         0.0         0.0         0.0         0.0   \n",
      "127432         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
      "15882        827.0       925.0       910.0     ...           942.0   \n",
      "15883       1219.0      1101.0      1181.0     ...           229.0   \n",
      "15884        223.0       223.0       459.0     ...           322.0   \n",
      "15885        312.0       355.0       337.0     ...           515.0   \n",
      "15886          0.0         0.0         0.0     ...           721.0   \n",
      "15887        614.0       602.0       591.0     ...           714.0   \n",
      "15888        440.0       418.0       414.0     ...           834.0   \n",
      "15889        452.0       412.0       326.0     ...           473.0   \n",
      "15890        536.0       483.0       485.0     ...           606.0   \n",
      "15891        231.0       237.0       236.0     ...           967.0   \n",
      "15892       2358.0      2448.0      2350.0     ...           727.0   \n",
      "15893        550.0       455.0       432.0     ...           406.0   \n",
      "15894        174.0       164.0       155.0     ...           214.0   \n",
      "15895          0.0         0.0         0.0     ...             1.0   \n",
      "15896       1219.0      1074.0       983.0     ...           830.0   \n",
      "15897        940.0       857.0       848.0     ...           555.0   \n",
      "15898        367.0       368.0       324.0     ...           490.0   \n",
      "15899         26.0        29.0        23.0     ...           106.0   \n",
      "15900       1088.0      1041.0      1033.0     ...           648.0   \n",
      "15901        246.0       277.0       244.0     ...           334.0   \n",
      "15902       1039.0      1107.0      1000.0     ...           654.0   \n",
      "15903        106.0       113.0       111.0     ...           265.0   \n",
      "15904          0.0         0.0         0.0     ...           549.0   \n",
      "15905          0.0         0.0         0.0     ...           205.0   \n",
      "15906        658.0       661.0       601.0     ...           785.0   \n",
      "15907          0.0         0.0         0.0     ...            65.0   \n",
      "15908         10.0        12.0         8.0     ...            26.0   \n",
      "15909        638.0       607.0       564.0     ...           546.0   \n",
      "15910        840.0       838.0       766.0     ...           815.0   \n",
      "15911        867.0       773.0       679.0     ...           716.0   \n",
      "...            ...         ...         ...     ...             ...   \n",
      "127403         0.0         0.0         0.0     ...            10.0   \n",
      "127404         0.0         0.0         0.0     ...            13.0   \n",
      "127405         0.0         0.0         0.0     ...             3.0   \n",
      "127406         0.0         0.0         0.0     ...            16.0   \n",
      "127407         0.0         0.0         0.0     ...            11.0   \n",
      "127408         0.0         0.0         0.0     ...             3.0   \n",
      "127409         0.0         0.0         0.0     ...             2.0   \n",
      "127410         0.0         0.0         0.0     ...            12.0   \n",
      "127411         0.0         0.0         0.0     ...            23.0   \n",
      "127412         0.0         0.0         0.0     ...            54.0   \n",
      "127413         0.0         0.0         0.0     ...             4.0   \n",
      "127414         0.0         0.0         0.0     ...             6.0   \n",
      "127415         0.0         0.0         0.0     ...            18.0   \n",
      "127416         0.0         0.0         0.0     ...            16.0   \n",
      "127417         0.0         0.0         0.0     ...             0.0   \n",
      "127418         0.0         0.0         0.0     ...           200.0   \n",
      "127419         0.0         0.0         0.0     ...            32.0   \n",
      "127420         0.0         0.0         0.0     ...            46.0   \n",
      "127421         0.0         0.0         0.0     ...            17.0   \n",
      "127422         0.0         0.0         0.0     ...           241.0   \n",
      "127423         0.0         0.0         0.0     ...             0.0   \n",
      "127424         0.0         0.0         0.0     ...             0.0   \n",
      "127425         0.0         0.0         0.0     ...             0.0   \n",
      "127426         0.0         0.0         0.0     ...             0.0   \n",
      "127427         0.0         0.0         0.0     ...             0.0   \n",
      "127428         0.0         0.0         0.0     ...             0.0   \n",
      "127429         0.0         0.0         0.0     ...             0.0   \n",
      "127430         0.0         0.0         0.0     ...             0.0   \n",
      "127431         0.0         0.0         0.0     ...             0.0   \n",
      "127432         0.0         0.0         0.0     ...             0.0   \n",
      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
      "15882        943.0       952.0       867.0       957.0       873.0   \n",
      "15883        272.0       468.0       276.0       239.0       246.0   \n",
      "15884        362.0       517.0       537.0       350.0       423.0   \n",
      "15885        670.0       521.0       547.0       448.0       421.0   \n",
      "15886        664.0      1092.0       744.0       608.0       586.0   \n",
      "15887        745.0       769.0       809.0       686.0       714.0   \n",
      "15888        806.0       797.0       777.0       851.0       774.0   \n",
      "15889        528.0       528.0       505.0       483.0       479.0   \n",
      "15890        509.0       567.0       491.0       507.0       639.0   \n",
      "15891        979.0      1078.0      1099.0       995.0      1173.0   \n",
      "15892        995.0      1001.0       960.0       822.0       861.0   \n",
      "15893        367.0       457.0      2738.0      1996.0      1513.0   \n",
      "15894        312.0       410.0       341.0       243.0       271.0   \n",
      "15895          1.0         0.0         1.0         2.0         3.0   \n",
      "15896       1426.0      1036.0      1062.0       559.0       702.0   \n",
      "15897       1510.0      1629.0       957.0       479.0       808.0   \n",
      "15898        455.0       633.0       619.0       466.0       437.0   \n",
      "15899        126.0       129.0       139.0       116.0       121.0   \n",
      "15900        612.0       667.0       648.0       622.0       699.0   \n",
      "15901        394.0       409.0       459.0       368.0       368.0   \n",
      "15902        762.0       812.0       790.0       709.0       744.0   \n",
      "15903        214.0       259.0       269.0       196.0       210.0   \n",
      "15904        736.0      1396.0       565.0       383.0       383.0   \n",
      "15905        164.0       233.0       236.0       190.0       179.0   \n",
      "15906        745.0       821.0      1103.0      1359.0      1032.0   \n",
      "15907         88.0       103.0       173.0        97.0        68.0   \n",
      "15908         19.0        25.0        72.0        58.0        63.0   \n",
      "15909        509.0       615.0       652.0       596.0       503.0   \n",
      "15910        778.0      1009.0      1124.0       937.0       964.0   \n",
      "15911       1179.0      1176.0       811.0       744.0       664.0   \n",
      "...            ...         ...         ...         ...         ...   \n",
      "127403        21.0        18.0        18.0        21.0        16.0   \n",
      "127404         7.0         7.0        18.0        25.0        10.0   \n",
      "127405         2.0         1.0         3.0         2.0         1.0   \n",
      "127406        18.0         6.0        11.0        17.0        15.0   \n",
      "127407        12.0        18.0        20.0        19.0        15.0   \n",
      "127408         5.0         2.0         2.0         3.0         3.0   \n",
      "127409         3.0         3.0         6.0         2.0         5.0   \n",
      "127410        22.0        13.0        11.0         6.0         2.0   \n",
      "127411        25.0        26.0        28.0        26.0        27.0   \n",
      "127412        26.0        43.0        48.0        31.0        24.0   \n",
      "127413         7.0         2.0         2.0         5.0         4.0   \n",
      "127414        13.0         5.0         6.0         6.0         5.0   \n",
      "127415        58.0        23.0         6.0        19.0        16.0   \n",
      "127416        26.0        37.0        27.0        30.0        32.0   \n",
      "127417         0.0         0.0         0.0         0.0         0.0   \n",
      "127418        92.0        36.0        29.0        47.0        62.0   \n",
      "127419        33.0        21.0        20.0       105.0        30.0   \n",
      "127420        41.0        25.0        25.0        26.0        71.0   \n",
      "127421        31.0        88.0        25.0        20.0        36.0   \n",
      "127422       112.0        72.0        57.0        53.0        71.0   \n",
      "127423         0.0         0.0      1834.0       797.0       310.0   \n",
      "127424         0.0         0.0         0.0        21.0        26.0   \n",
      "127425         0.0         0.0         0.0         0.0         0.0   \n",
      "127426         0.0         0.0         0.0         0.0         0.0   \n",
      "127427         0.0         0.0         0.0         0.0         0.0   \n",
      "127428         0.0         0.0         0.0         0.0         0.0   \n",
      "127429         0.0         0.0         0.0         0.0         0.0   \n",
      "127430         0.0         0.0         0.0         0.0         0.0   \n",
      "127431         0.0         0.0         0.0         0.0         0.0   \n",
      "127432         0.0         0.0         0.0         0.0         0.0   \n",
      "\n",
      "        2016-12-28  2016-12-29  2016-12-30  2016-12-31  \n",
      "15882        847.0       804.0       801.0       650.0  \n",
      "15883        394.0       263.0       235.0       898.0  \n",
      "15884        558.0       638.0       846.0      3019.0  \n",
      "15885        433.0       412.0       444.0       372.0  \n",
      "15886        611.0       639.0       786.0      1920.0  \n",
      "15887        638.0       699.0       677.0       649.0  \n",
      "15888        675.0       670.0       723.0       664.0  \n",
      "15889        474.0       409.0       355.0       263.0  \n",
      "15890        582.0       521.0       562.0       443.0  \n",
      "15891       1110.0      1412.0      1440.0       971.0  \n",
      "15892        876.0       904.0       924.0      1191.0  \n",
      "15893       1257.0       894.0       752.0       617.0  \n",
      "15894        408.0       364.0       473.0     25243.0  \n",
      "15895          2.0         1.0         2.0         2.0  \n",
      "15896        629.0       646.0      1081.0      2348.0  \n",
      "15897       1207.0      2870.0       837.0      3716.0  \n",
      "15898        440.0       487.0       463.0       327.0  \n",
      "15899         97.0       119.0       102.0       120.0  \n",
      "15900        636.0       714.0       733.0       599.0  \n",
      "15901        345.0       349.0       354.0       297.0  \n",
      "15902        739.0       917.0       828.0       678.0  \n",
      "15903        230.0       283.0       185.0       170.0  \n",
      "15904        355.0       362.0       411.0      1485.0  \n",
      "15905        192.0       217.0       174.0       203.0  \n",
      "15906        898.0       943.0       885.0       929.0  \n",
      "15907         92.0        82.0       130.0       113.0  \n",
      "15908         58.0        68.0        53.0        57.0  \n",
      "15909        590.0       575.0       532.0       473.0  \n",
      "15910       1018.0       998.0       996.0       912.0  \n",
      "15911        625.0       626.0       707.0       564.0  \n",
      "...            ...         ...         ...         ...  \n",
      "127403        18.0        13.0        17.0        18.0  \n",
      "127404        10.0        15.0        10.0        10.0  \n",
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      "\n",
      "[15022 rows x 551 columns] \n",
      "\n",
      "KEY :                                                       Page  2015-07-01  \\\n",
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      "69482   13_de_septiembre_es.wikipedia.org_desktop_all-...        77.0   \n",
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      "69487   300:_Rise_of_an_Empire_es.wikipedia.org_deskto...       180.0   \n",
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      "69489      4_de_marzo_es.wikipedia.org_desktop_all-agents        31.0   \n",
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      "69493           AR-15_es.wikipedia.org_desktop_all-agents       142.0   \n",
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      "...                                                   ...         ...   \n",
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      "145058  Underworld_(serie_de_películas)_es.wikipedia.o...         0.0   \n",
      "145059  Resident_Evil:_Capítulo_Final_es.wikipedia.org...         0.0   \n",
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      "\n",
      "        2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
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      "\n",
      "        2015-07-07  2015-07-08  2015-07-09     ...      2016-12-22  \\\n",
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      "\n",
      "        2016-12-23  2016-12-24  2016-12-25  2016-12-26  2016-12-27  \\\n",
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      "\n",
      "[14069 rows x 551 columns] \n",
      "\n",
      "KEY :                                                      Page  2015-07-01  \\\n",
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      "84732         0.0         0.0     ...            30.0        48.0        13.0   \n",
      "84733         0.0         0.0     ...           180.0        40.0         3.0   \n",
      "84734         0.0         0.0     ...           333.0        26.0         1.0   \n",
      "\n",
      "       2016-12-25  2016-12-26  2016-12-27  2016-12-28  2016-12-29  2016-12-30  \\\n",
      "13332        62.0        88.0        57.0        74.0        61.0        51.0   \n",
      "13333        38.0        31.0        29.0        37.0        32.0        29.0   \n",
      "13334        46.0        35.0        31.0        31.0        34.0        28.0   \n",
      "13335        11.0         8.0         8.0        13.0         5.0        11.0   \n",
      "13336        38.0        29.0        19.0        30.0        29.0        26.0   \n",
      "13337        10.0         9.0        21.0        13.0        27.0        12.0   \n",
      "13338        13.0        11.0        49.0        10.0        14.0        17.0   \n",
      "13339         7.0         4.0         4.0         5.0         7.0         8.0   \n",
      "13340         2.0         3.0         2.0         3.0         2.0         2.0   \n",
      "13341         5.0        10.0         5.0        12.0        81.0         8.0   \n",
      "13342         1.0         1.0         1.0         1.0         0.0         1.0   \n",
      "13343         2.0         3.0         4.0         1.0         1.0         0.0   \n",
      "13344         1.0         0.0         3.0         1.0         1.0         1.0   \n",
      "13345         2.0         1.0         1.0         3.0         2.0         2.0   \n",
      "13346         1.0         3.0         2.0         2.0         3.0         3.0   \n",
      "13347         2.0         4.0         6.0         2.0         5.0         4.0   \n",
      "13348         8.0        15.0         5.0         5.0         6.0        13.0   \n",
      "13349         5.0        14.0         1.0         5.0         3.0         6.0   \n",
      "13350         7.0        10.0        17.0         1.0        12.0        27.0   \n",
      "13351         1.0         7.0         6.0         1.0         2.0         3.0   \n",
      "13352         6.0         8.0         7.0         6.0         5.0         5.0   \n",
      "13353        10.0         9.0        12.0         9.0        10.0         7.0   \n",
      "13354         0.0         0.0         0.0         3.0         1.0         3.0   \n",
      "13355         4.0         5.0         1.0         5.0         2.0         4.0   \n",
      "13356         4.0         6.0         7.0         6.0         4.0         6.0   \n",
      "13357         4.0        16.0         8.0        11.0        10.0        17.0   \n",
      "13358         0.0         1.0         0.0         1.0         1.0         0.0   \n",
      "13359         4.0         1.0         3.0         1.0         5.0         4.0   \n",
      "13360         0.0         9.0         3.0         8.0         5.0         3.0   \n",
      "13361         2.0         2.0         0.0         1.0         0.0         0.0   \n",
      "...           ...         ...         ...         ...         ...         ...   \n",
      "84705         9.0         6.0         3.0         5.0         3.0        11.0   \n",
      "84706        12.0         5.0        10.0        19.0         8.0         9.0   \n",
      "84707         7.0         3.0         3.0         1.0         4.0         5.0   \n",
      "84708         0.0         6.0         3.0         8.0         7.0         4.0   \n",
      "84709         2.0         3.0         6.0         5.0         2.0         9.0   \n",
      "84710         2.0         4.0         6.0         6.0         4.0         8.0   \n",
      "84711         5.0         7.0         3.0         4.0         0.0         7.0   \n",
      "84712         1.0         2.0         2.0         1.0         1.0         2.0   \n",
      "84713         1.0         0.0         3.0         3.0         3.0         2.0   \n",
      "84714         2.0         3.0         2.0         3.0         4.0         1.0   \n",
      "84715         3.0         0.0         2.0         1.0         0.0         1.0   \n",
      "84716         3.0         1.0         2.0         2.0         2.0         0.0   \n",
      "84717         3.0        14.0         9.0         6.0         8.0         7.0   \n",
      "84718         2.0         1.0         0.0         0.0         0.0         1.0   \n",
      "84719         2.0         0.0         1.0         1.0         0.0         1.0   \n",
      "84720         2.0         0.0         1.0         1.0         1.0         0.0   \n",
      "84721         8.0         2.0         3.0         2.0         4.0         0.0   \n",
      "84722         0.0         2.0         1.0         0.0         0.0         1.0   \n",
      "84723         7.0        14.0         4.0         8.0        10.0        16.0   \n",
      "84724         7.0         9.0         8.0        32.0        34.0         5.0   \n",
      "84725         8.0         5.0         2.0        10.0         4.0         6.0   \n",
      "84726         2.0         4.0         7.0         3.0         3.0         4.0   \n",
      "84727         7.0         5.0        11.0         7.0         5.0        12.0   \n",
      "84728         3.0         5.0        21.0         0.0         1.0         2.0   \n",
      "84729         8.0         2.0         4.0         9.0         4.0        11.0   \n",
      "84730        15.0         7.0        18.0        17.0        15.0         3.0   \n",
      "84731        18.0         2.0       172.0        19.0        29.0         2.0   \n",
      "84732        24.0        11.0        12.0        51.0        23.0         3.0   \n",
      "84733        53.0       300.0         3.0        44.0         6.0         0.0   \n",
      "84734        39.0       346.0         2.0        28.0         4.0       163.0   \n",
      "\n",
      "       2016-12-31  \n",
      "13332        60.0  \n",
      "13333        34.0  \n",
      "13334        27.0  \n",
      "13335         6.0  \n",
      "13336        26.0  \n",
      "13337         8.0  \n",
      "13338        12.0  \n",
      "13339         4.0  \n",
      "13340         4.0  \n",
      "13341         7.0  \n",
      "13342         3.0  \n",
      "13343         2.0  \n",
      "13344         0.0  \n",
      "13345         1.0  \n",
      "13346         3.0  \n",
      "13347         4.0  \n",
      "13348         3.0  \n",
      "13349         7.0  \n",
      "13350         7.0  \n",
      "13351         5.0  \n",
      "13352         7.0  \n",
      "13353         7.0  \n",
      "13354         6.0  \n",
      "13355         2.0  \n",
      "13356         7.0  \n",
      "13357        17.0  \n",
      "13358         0.0  \n",
      "13359         4.0  \n",
      "13360         2.0  \n",
      "13361         0.0  \n",
      "...           ...  \n",
      "84705         0.0  \n",
      "84706         7.0  \n",
      "84707         3.0  \n",
      "84708         5.0  \n",
      "84709         7.0  \n",
      "84710         8.0  \n",
      "84711         5.0  \n",
      "84712         1.0  \n",
      "84713         5.0  \n",
      "84714         2.0  \n",
      "84715         3.0  \n",
      "84716         1.0  \n",
      "84717         2.0  \n",
      "84718         0.0  \n",
      "84719         1.0  \n",
      "84720         0.0  \n",
      "84721         1.0  \n",
      "84722         1.0  \n",
      "84723        11.0  \n",
      "84724         6.0  \n",
      "84725        10.0  \n",
      "84726         8.0  \n",
      "84727         7.0  \n",
      "84728         3.0  \n",
      "84729        12.0  \n",
      "84730        11.0  \n",
      "84731       178.0  \n",
      "84732        48.0  \n",
      "84733       154.0  \n",
      "84734         1.0  \n",
      "\n",
      "[17855 rows x 551 columns] \n",
      "\n"
     ]
    }
   ],
   "source": [
    "\n",
    "language_set = {}\n",
    "language_set['en'] = train[train.language=='en'].iloc[:,0:-1]\n",
    "language_set['ja'] = train[train.language == 'ja'].iloc[:, 0:-1]\n",
    "language_set['de'] = train[train.language == 'de'].iloc[:, 0:-1]\n",
    "language_set['fr'] = train[train.language == 'fr'].iloc[:, 0:-1]\n",
    "language_set['ru'] = train[train.language == 'ru'].iloc[:, 0:-1]\n",
    "language_set['es'] = train[train.language == 'es'].iloc[:, 0:-1]\n",
    "language_set['no_lang'] = train[train.language == 'no_lang'].iloc[:, 0:-1]\n",
    "\n",
    "for key in language_set:\n",
    "    print(\"KEY : \", language_set[key],\"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KEY :  en\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01    3513.862203\n",
      "2015-07-02    3502.511407\n",
      "2015-07-03    3325.357889\n",
      "2015-07-04    3462.054256\n",
      "2015-07-05    3575.520035\n",
      "2015-07-06    3849.736021\n",
      "2015-07-07    3643.523063\n",
      "2015-07-08    3437.871080\n",
      "2015-07-09    3517.459391\n",
      "2015-07-10    3497.571594\n",
      "2015-07-11    3517.054297\n",
      "2015-07-12    3869.211216\n",
      "2015-07-13    3832.417662\n",
      "2015-07-14    3854.165298\n",
      "2015-07-15    3563.026589\n",
      "2015-07-16    3605.074747\n",
      "2015-07-17    3455.528829\n",
      "2015-07-18    3335.306288\n",
      "2015-07-19    3540.557533\n",
      "2015-07-20    3720.901319\n",
      "2015-07-21    3544.275386\n",
      "2015-07-22    3488.537249\n",
      "2015-07-23    3435.995645\n",
      "2015-07-24    3340.325991\n",
      "2015-07-25    3346.974988\n",
      "2015-07-26    3585.658246\n",
      "2015-07-27    3643.563216\n",
      "2015-07-28    3589.972955\n",
      "2015-07-29    4189.383649\n",
      "2015-07-30    3283.135930\n",
      "                 ...     \n",
      "2016-12-02    4540.718351\n",
      "2016-12-03    5119.283350\n",
      "2016-12-04    5171.994400\n",
      "2016-12-05    5281.185830\n",
      "2016-12-06    5239.822217\n",
      "2016-12-07    4938.917579\n",
      "2016-12-08    4839.252447\n",
      "2016-12-09    4502.934254\n",
      "2016-12-10    4693.526547\n",
      "2016-12-11    4878.563340\n",
      "2016-12-12    5020.668409\n",
      "2016-12-13    4780.858055\n",
      "2016-12-14    5022.764186\n",
      "2016-12-15    4569.371951\n",
      "2016-12-16    4307.292227\n",
      "2016-12-17    4305.782230\n",
      "2016-12-18    4978.795006\n",
      "2016-12-19    5431.387216\n",
      "2016-12-20    5311.259001\n",
      "2016-12-21    4931.477020\n",
      "2016-12-22    4997.991248\n",
      "2016-12-23    4683.314294\n",
      "2016-12-24    4971.831757\n",
      "2016-12-25    5140.463373\n",
      "2016-12-26    5770.371661\n",
      "2016-12-27    6040.680728\n",
      "2016-12-28    5860.227559\n",
      "2016-12-29    6245.127510\n",
      "2016-12-30    5201.783018\n",
      "2016-12-31    5127.916418\n",
      "dtype: float64\n",
      "KEY :  ja\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01     580.647056\n",
      "2015-07-02     666.672801\n",
      "2015-07-03     602.289805\n",
      "2015-07-04     756.509177\n",
      "2015-07-05     725.720914\n",
      "2015-07-06     632.399148\n",
      "2015-07-07     615.184181\n",
      "2015-07-08     611.462337\n",
      "2015-07-09     596.067642\n",
      "2015-07-10     619.299300\n",
      "2015-07-11     639.577211\n",
      "2015-07-12     688.081053\n",
      "2015-07-13     612.605991\n",
      "2015-07-14     573.909500\n",
      "2015-07-15     575.142137\n",
      "2015-07-16     657.954824\n",
      "2015-07-17     787.626939\n",
      "2015-07-18     662.312613\n",
      "2015-07-19     649.458176\n",
      "2015-07-20     649.620723\n",
      "2015-07-21     567.651608\n",
      "2015-07-22     569.571778\n",
      "2015-07-23     541.133082\n",
      "2015-07-24     492.338163\n",
      "2015-07-25     479.860066\n",
      "2015-07-26     513.785277\n",
      "2015-07-27     496.505262\n",
      "2015-07-28     485.329793\n",
      "2015-07-29     528.487152\n",
      "2015-07-30     476.804611\n",
      "                 ...     \n",
      "2016-12-02     745.462386\n",
      "2016-12-03     776.732221\n",
      "2016-12-04     856.945720\n",
      "2016-12-05     750.067006\n",
      "2016-12-06     704.604865\n",
      "2016-12-07     866.372033\n",
      "2016-12-08     763.263570\n",
      "2016-12-09     826.187999\n",
      "2016-12-10     798.723802\n",
      "2016-12-11     854.967549\n",
      "2016-12-12     780.440164\n",
      "2016-12-13     746.389115\n",
      "2016-12-14     812.710489\n",
      "2016-12-15     685.129460\n",
      "2016-12-16     674.735206\n",
      "2016-12-17     767.739269\n",
      "2016-12-18     930.329157\n",
      "2016-12-19     782.743625\n",
      "2016-12-20     785.971759\n",
      "2016-12-21     711.985953\n",
      "2016-12-22     675.104792\n",
      "2016-12-23     968.007733\n",
      "2016-12-24     856.605012\n",
      "2016-12-25     818.374725\n",
      "2016-12-26     779.114728\n",
      "2016-12-27     789.158680\n",
      "2016-12-28     790.500465\n",
      "2016-12-29     865.483236\n",
      "2016-12-30     952.018354\n",
      "2016-12-31    1197.239440\n",
      "dtype: float64\n",
      "KEY :  de\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01     714.968405\n",
      "2015-07-02     705.229741\n",
      "2015-07-03     676.877231\n",
      "2015-07-04     621.145145\n",
      "2015-07-05     722.076185\n",
      "2015-07-06     794.832480\n",
      "2015-07-07     770.814256\n",
      "2015-07-08     782.077641\n",
      "2015-07-09     752.939990\n",
      "2015-07-10     701.702593\n",
      "2015-07-11     649.152963\n",
      "2015-07-12     770.119426\n",
      "2015-07-13     840.305278\n",
      "2015-07-14     799.718876\n",
      "2015-07-15     746.422332\n",
      "2015-07-16     739.282364\n",
      "2015-07-17     760.885965\n",
      "2015-07-18     895.272119\n",
      "2015-07-19     845.221599\n",
      "2015-07-20     774.520462\n",
      "2015-07-21     722.307867\n",
      "2015-07-22     736.908557\n",
      "2015-07-23     715.858845\n",
      "2015-07-24     678.896803\n",
      "2015-07-25     674.856904\n",
      "2015-07-26     705.361514\n",
      "2015-07-27     755.171133\n",
      "2015-07-28     749.160511\n",
      "2015-07-29     747.244514\n",
      "2015-07-30     714.238691\n",
      "                 ...     \n",
      "2016-12-02     825.306950\n",
      "2016-12-03     783.591848\n",
      "2016-12-04     918.928182\n",
      "2016-12-05     896.042756\n",
      "2016-12-06     859.140724\n",
      "2016-12-07     853.212919\n",
      "2016-12-08     929.907317\n",
      "2016-12-09     893.841969\n",
      "2016-12-10     758.815011\n",
      "2016-12-11     908.886936\n",
      "2016-12-12     910.023238\n",
      "2016-12-13     857.591632\n",
      "2016-12-14     910.131180\n",
      "2016-12-15     848.031218\n",
      "2016-12-16     793.533779\n",
      "2016-12-17     745.328031\n",
      "2016-12-18     868.777322\n",
      "2016-12-19    1062.785895\n",
      "2016-12-20     868.762226\n",
      "2016-12-21     864.897234\n",
      "2016-12-22     828.738017\n",
      "2016-12-23     839.025934\n",
      "2016-12-24     810.756187\n",
      "2016-12-25    1281.088532\n",
      "2016-12-26    1206.478029\n",
      "2016-12-27    1085.095379\n",
      "2016-12-28    1032.640804\n",
      "2016-12-29     994.657141\n",
      "2016-12-30     949.265649\n",
      "2016-12-31     893.013425\n",
      "dtype: float64\n",
      "KEY :  fr\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01    475.150994\n",
      "2015-07-02    478.202000\n",
      "2015-07-03    459.837659\n",
      "2015-07-04    491.508932\n",
      "2015-07-05    482.557746\n",
      "2015-07-06    502.741209\n",
      "2015-07-07    485.945399\n",
      "2015-07-08    476.998820\n",
      "2015-07-09    472.061903\n",
      "2015-07-10    445.495057\n",
      "2015-07-11    441.492248\n",
      "2015-07-12    504.173351\n",
      "2015-07-13    491.643355\n",
      "2015-07-14    527.273340\n",
      "2015-07-15    486.485900\n",
      "2015-07-16    475.716212\n",
      "2015-07-17    457.927986\n",
      "2015-07-18    463.543591\n",
      "2015-07-19    502.554881\n",
      "2015-07-20    490.086732\n",
      "2015-07-21    477.304067\n",
      "2015-07-22    480.295529\n",
      "2015-07-23    452.432255\n",
      "2015-07-24    423.561959\n",
      "2015-07-25    424.468543\n",
      "2015-07-26    460.562296\n",
      "2015-07-27    446.484946\n",
      "2015-07-28    440.965453\n",
      "2015-07-29    447.279744\n",
      "2015-07-30    427.017976\n",
      "                 ...    \n",
      "2016-12-02    605.275812\n",
      "2016-12-03    680.043085\n",
      "2016-12-04    815.740142\n",
      "2016-12-05    737.717560\n",
      "2016-12-06    729.704977\n",
      "2016-12-07    684.300472\n",
      "2016-12-08    671.206662\n",
      "2016-12-09    667.573138\n",
      "2016-12-10    681.652062\n",
      "2016-12-11    747.775756\n",
      "2016-12-12    749.720762\n",
      "2016-12-13    682.457421\n",
      "2016-12-14    654.843669\n",
      "2016-12-15    639.065274\n",
      "2016-12-16    668.859061\n",
      "2016-12-17    699.826593\n",
      "2016-12-18    800.529379\n",
      "2016-12-19    843.736659\n",
      "2016-12-20    738.221099\n",
      "2016-12-21    677.232783\n",
      "2016-12-22    652.004719\n",
      "2016-12-23    639.459443\n",
      "2016-12-24    618.215931\n",
      "2016-12-25    666.639085\n",
      "2016-12-26    936.884788\n",
      "2016-12-27    858.413100\n",
      "2016-12-28    774.155769\n",
      "2016-12-29    752.712954\n",
      "2016-12-30    700.543422\n",
      "2016-12-31    646.258342\n",
      "dtype: float64\n",
      "KEY :  ru\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01     629.999601\n",
      "2015-07-02     640.902876\n",
      "2015-07-03     594.026295\n",
      "2015-07-04     558.728132\n",
      "2015-07-05     595.029157\n",
      "2015-07-06     640.986287\n",
      "2015-07-07     626.293436\n",
      "2015-07-08     623.360205\n",
      "2015-07-09     638.550726\n",
      "2015-07-10     731.252297\n",
      "2015-07-11     673.282519\n",
      "2015-07-12     744.739116\n",
      "2015-07-13     768.103914\n",
      "2015-07-14     744.533950\n",
      "2015-07-15     712.587671\n",
      "2015-07-16     726.660298\n",
      "2015-07-17     717.612968\n",
      "2015-07-18     643.353681\n",
      "2015-07-19     712.591599\n",
      "2015-07-20     731.160365\n",
      "2015-07-21     711.585741\n",
      "2015-07-22     694.523499\n",
      "2015-07-23     624.127280\n",
      "2015-07-24     553.787978\n",
      "2015-07-25     504.997337\n",
      "2015-07-26     564.258354\n",
      "2015-07-27     609.792105\n",
      "2015-07-28     587.527493\n",
      "2015-07-29     576.023765\n",
      "2015-07-30     561.934629\n",
      "                 ...     \n",
      "2016-12-02     998.783052\n",
      "2016-12-03    1025.486021\n",
      "2016-12-04    1072.631540\n",
      "2016-12-05     985.947011\n",
      "2016-12-06     962.521102\n",
      "2016-12-07     923.106444\n",
      "2016-12-08     947.095660\n",
      "2016-12-09     919.742711\n",
      "2016-12-10     953.669285\n",
      "2016-12-11     977.160365\n",
      "2016-12-12     967.394821\n",
      "2016-12-13     951.253095\n",
      "2016-12-14     951.017841\n",
      "2016-12-15     986.905938\n",
      "2016-12-16     921.144388\n",
      "2016-12-17     928.994408\n",
      "2016-12-18     997.215417\n",
      "2016-12-19     960.033351\n",
      "2016-12-20     985.262349\n",
      "2016-12-21     953.366862\n",
      "2016-12-22     896.352017\n",
      "2016-12-23     884.841299\n",
      "2016-12-24     874.274597\n",
      "2016-12-25    1120.990347\n",
      "2016-12-26    1112.840833\n",
      "2016-12-27    1001.209426\n",
      "2016-12-28     931.987685\n",
      "2016-12-29     897.282452\n",
      "2016-12-30     803.271868\n",
      "2016-12-31     880.244508\n",
      "dtype: float64\n",
      "KEY :  es\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01    1085.972919\n",
      "2015-07-02    1037.814557\n",
      "2015-07-03     954.412680\n",
      "2015-07-04     896.050750\n",
      "2015-07-05     974.508210\n",
      "2015-07-06    1110.637145\n",
      "2015-07-07    1082.568342\n",
      "2015-07-08    1050.669557\n",
      "2015-07-09    1030.841282\n",
      "2015-07-10     937.129931\n",
      "2015-07-11     842.808657\n",
      "2015-07-12     960.246642\n",
      "2015-07-13    1089.365555\n",
      "2015-07-14    1144.025801\n",
      "2015-07-15    1081.183666\n",
      "2015-07-16    1029.522070\n",
      "2015-07-17     926.545312\n",
      "2015-07-18     806.157225\n",
      "2015-07-19     862.297391\n",
      "2015-07-20    1012.967588\n",
      "2015-07-21    1003.396546\n",
      "2015-07-22    1032.552705\n",
      "2015-07-23     968.788187\n",
      "2015-07-24     860.502168\n",
      "2015-07-25     771.079110\n",
      "2015-07-26     850.391001\n",
      "2015-07-27     979.424906\n",
      "2015-07-28     972.151539\n",
      "2015-07-29     983.061412\n",
      "2015-07-30     935.023243\n",
      "                 ...     \n",
      "2016-12-02    1126.116568\n",
      "2016-12-03     910.023314\n",
      "2016-12-04    1061.265691\n",
      "2016-12-05    1193.943706\n",
      "2016-12-06    1269.305494\n",
      "2016-12-07    1163.406425\n",
      "2016-12-08    1125.249769\n",
      "2016-12-09    1015.642121\n",
      "2016-12-10     861.647096\n",
      "2016-12-11     957.924657\n",
      "2016-12-12    1088.133698\n",
      "2016-12-13    1086.359443\n",
      "2016-12-14    1144.793162\n",
      "2016-12-15    1009.844125\n",
      "2016-12-16     919.448859\n",
      "2016-12-17     865.033265\n",
      "2016-12-18    1012.917834\n",
      "2016-12-19    1133.544033\n",
      "2016-12-20    1100.763025\n",
      "2016-12-21    1076.392068\n",
      "2016-12-22     983.568129\n",
      "2016-12-23     935.082522\n",
      "2016-12-24     880.307911\n",
      "2016-12-25     903.643685\n",
      "2016-12-26    1195.481626\n",
      "2016-12-27    1133.367901\n",
      "2016-12-28    1178.290923\n",
      "2016-12-29    1112.171085\n",
      "2016-12-30     821.671405\n",
      "2016-12-31     787.399531\n",
      "dtype: float64\n",
      "KEY :  no_lang\n",
      "\n",
      "Total_Value KEY : \n",
      " 2015-07-01     83.479922\n",
      "2015-07-02     87.471857\n",
      "2015-07-03     82.680538\n",
      "2015-07-04     70.572557\n",
      "2015-07-05     78.214562\n",
      "2015-07-06     89.720190\n",
      "2015-07-07     94.939457\n",
      "2015-07-08     99.096724\n",
      "2015-07-09     86.445477\n",
      "2015-07-10     87.353906\n",
      "2015-07-11     65.696556\n",
      "2015-07-12     67.920694\n",
      "2015-07-13     79.714030\n",
      "2015-07-14     89.737889\n",
      "2015-07-15     95.002632\n",
      "2015-07-16     91.297172\n",
      "2015-07-17     99.929376\n",
      "2015-07-18     89.839149\n",
      "2015-07-19     82.661159\n",
      "2015-07-20     82.763036\n",
      "2015-07-21    102.395743\n",
      "2015-07-22    110.194623\n",
      "2015-07-23     96.889891\n",
      "2015-07-24     91.587118\n",
      "2015-07-25     83.298796\n",
      "2015-07-26     79.291683\n",
      "2015-07-27    100.459423\n",
      "2015-07-28     95.049510\n",
      "2015-07-29    101.511565\n",
      "2015-07-30     96.740801\n",
      "                 ...    \n",
      "2016-12-02    130.854158\n",
      "2016-12-03    147.482722\n",
      "2016-12-04    158.841389\n",
      "2016-12-05    158.730160\n",
      "2016-12-06    148.987735\n",
      "2016-12-07    146.846094\n",
      "2016-12-08    143.112125\n",
      "2016-12-09    270.977933\n",
      "2016-12-10    209.783422\n",
      "2016-12-11    160.865024\n",
      "2016-12-12    161.487202\n",
      "2016-12-13    139.363036\n",
      "2016-12-14    147.724783\n",
      "2016-12-15    143.064408\n",
      "2016-12-16    137.387567\n",
      "2016-12-17    173.197424\n",
      "2016-12-18    167.997592\n",
      "2016-12-19    147.016802\n",
      "2016-12-20    170.275329\n",
      "2016-12-21    206.907757\n",
      "2016-12-22    131.521983\n",
      "2016-12-23    164.889051\n",
      "2016-12-24    140.363764\n",
      "2016-12-25    164.455167\n",
      "2016-12-26    165.821563\n",
      "2016-12-27    147.038925\n",
      "2016-12-28    186.438029\n",
      "2016-12-29    147.297004\n",
      "2016-12-30    164.540577\n",
      "2016-12-31    143.951442\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# axis =0 : vertical in NumPy ;   axis =1 : horizontal in NumPy\n",
    "total_view = {} \n",
    "for key in language_set:\n",
    "    total_view[key] = language_set[key].iloc[:, 1:].sum(axis=0) / language_set[key].shape[0]\n",
    "\n",
    "\n",
    "for key in language_set:\n",
    "    print(\"KEY : \", key)\n",
    "    print(\"\\nTotal_Value KEY : \\n\", total_view[key])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UEQ+6PGqBUg/8Z8jDmC3WrFoLIFs9ptKeKyB3DKsD8FsAV2ja6RMRRUHuPPeaZvGLAAYL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\ntonlX1XYCKczV5FRPu59Zz8Abfm+pS+iCVl9Wf68RTUAMpXzdQU4Vfd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YCuAFAFdxzoUt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\nyRJZY4wxxhhTkyyRNcYYY4wxNen/ARnbja5M8tHDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb14205898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Still not clear\n",
    "days = [r\n",
    "        for r in range(total_view['en'].shape[0])]\n",
    "\n",
    "# height and width of graph\n",
    "plot.figure(figsize=(8, 6))\n",
    "labels={'ja':'Japanese','de':'German','en' : 'English','no_lang':'Media_File','fr':'French','zh':'Chinese',\n",
    "        'ru':'Russian','es':'Spanish'}\n",
    "\n",
    "for key in total_view:\n",
    "    plot.plot(days,total_view[key],label = labels[key])\n",
    "    \n",
    "\n",
    "plot.ylabel('Views per Page')\n",
    "plot.xlabel('Days (2015-07-1  to  2016-12-31)')\n",
    "plot.title('Language Influences Page Total_View\\nCheck it out  <(0_)>')\n",
    "plot.legend(loc = 'upper left', bbox_to_anchor = (1.2, 1))\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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J9Aylp+Q6ChYCDMOUhNIEivUYHgkqsYroUAX6BLjRPMMwDAxNoEgBuZEoNVksXpFCwH3l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\nXQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb7c56ddd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.plot(days,total_view['en'],label=labels['en'])\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Checking the stationarity "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "1.Plotting rolling statistics\n",
    "2.Dickey-Fuller test\n",
    "\n",
    "Here the null hypothesis is that the TS is non-stationary.\n",
    "The test results comprise of a Test Statistic and some Critical Values for difference confidence levels.\n",
    "If the ‘Test Statistic’ is less than the ‘Critical Value’, we can reject the null hypothesis and say \n",
    "that the series is stationary. \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Z9y/PhVLqJuAmgFatWhVUxUpDSkoK559/PhkZGWiteeWVV6hatWp5V8tiKRImIuiss+CL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\nAkIIYcckCQghhB2TJCCEEHbs/wOkES+KeNDymgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb17476ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Stastistic: -2.247284\n",
      "p-value: 0.189534\n",
      "The graph is non stationery\n",
      "Critical values:\n",
      "\t1%: -3.443\n",
      "\t5%: -2.867\n",
      "\t10%: -2.570\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "def test_stationarity(x):\n",
    "\n",
    "\n",
    "    #Determing rolling statistics\n",
    "    rolmean = x.rolling(window=22,center=False).mean()\n",
    "\n",
    "    rolstd = x.rolling(window=12,center=False).std()\n",
    "    \n",
    "    #Plot rolling statistics:\n",
    "    orig = plot.plot(x.values, color='blue',label='Original')\n",
    "    mean = plot.plot(rolmean.values, color='red', label='Rolling Mean')\n",
    "    std = plot.plot(rolstd.values, color='black', label = 'Rolling Std')\n",
    "    plot.legend(loc='best')\n",
    "    plot.title('Rolling Mean & Standard Deviation')\n",
    "    plot.show(block=False)\n",
    "    \n",
    "    #Perform Dickey Fuller test    \n",
    "    result=adfuller(x)\n",
    "    print('ADF Stastistic: %f'%result[0])\n",
    "    print('p-value: %f'%result[1])\n",
    "    pvalue=result[1]\n",
    "    for key,value in result[4].items():\n",
    "         if result[0]>value:\n",
    "            print(\"The graph is non stationery\")\n",
    "            break\n",
    "         else:\n",
    "            print(\"The graph is stationery\")\n",
    "            break;\n",
    "    print('Critical values:')\n",
    "    for key,value in result[4].items():\n",
    "        print('\\t%s: %.3f' % (key, value))\n",
    "        \n",
    "test_stationarity(total_view['en'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Making the time series stationery\n",
    "\n",
    "## Estimitating and eliminating trend and seasonality\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.Log transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QYhKAbwOYK6XcH4ATwFct2zQC+B2AM6WU+wH4cgn2ldnNuP2t23HLG7fgrnfvGtLr2LkP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\nwZouQ9wp2+2OdCtxveqZq/CPT/6h3je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Idu5vb3kbEhLfnPtN0/a/eec3AIApDVOQSCVM\nGXlvrNc0A1aPZQZz7iqWsXHudott5OPcl16xFG9+/U3b52gW6WCLNTMMU31UnLifd+B5mD95vqqK\n0dukfm/B9wDAtD7oIRMOwbKdy9Af60eNp8bk3MnNU3/yi+ZchHpvvWo9QAtBb+/brt6vN9prGszV\nq2V0cX/pQnMVjN77Rc/0CbsJVbpz15tc6Rw47kA1dR4AHvr8Q3jmXOPK44GzHsC6b6/jNTgZZjek\n4sQdMGZHAkYPFBLaxV9ZjD2aDeeuu+DPTP4MVuxcgWAsaHLu67vX44V1L8Dv8qvSwj2a9sClB1+q\nXqvEPX0i8Tq96I32mnJ33bnrsQw12CKsi1qMCYxRjvqc/c+xPU7duefqL27lwjkXqlJGn8uX1bed\nYZjdg4oUd3KxYwJj1IQgvQsiibvP5cNB4w9Cf7wfK9pXmDL3ox44CkvblsLv9qvBVSEEjpp2lHof\nWirtxy//WH1eb7QXfbE+tQ2Ju9eZaatLJ5DnL8iURHqcHtVOFgBO2fMUbLtuGyI3RPDg5x+0PU7d\nuTMMwwyFihR3imJa/C2q/E+v5SZxr/PU4YCxBwCAWvjZ2pRJd/Mep0e1gAWA2WNmm7ZtrWk1xD2a\nEXeqlqn11MLr8uJ/jv8fvHOpUYFz/MzjceXcKwEYpZBTG6ZCQKjPpcdzTe/P160zDMNYqch55eTc\nWwItePjsh/HKhlfsxd1bZ5rxqQs54XF6cN2C67AjuANXzr0Sdd46PPT5h7C2cy2OnX4svr/g+/jV\nm78CYLSD3da3zeTcX9n4CsbXjld19d8/4vum96d9ERDwOD2YXD8Zm3s35zVrlER/3qR5+X0xDMMw\naSpT3L2GuDd4GzC2Ziy+st9XTM+ToNZ6atESaIHL4UIilTDFMkRKptDoa8Qfz/yjeuzCOZl+L8dO\nPzYj7jbO/bm1z2HepHmmSVM6lMNv6zO6JM9omoHNvZvzWsXH5XDh7UveVg29GIZh8qWiY5lcVSB6\nLOMQDjW5J+DKdu56mwI7aJAWMJx7JBHJqlN/d+u7OcWdKmhoJixdSeRbwXL45MNNFUEMwzD5UJHi\nTpFGrqxaj2WAzLJoeikkoXeHtIMWzgAyVTrUQXLNtzKNp6ic0gqJ+5beLQCAeRONiOWTjk8G/FyG\nYZjhUJHiTjNEPQ57cadJTOSmqX+3XeY+WF93fVBTiXufIe4zmmaonuoTa+2bc7UEWnDJwZfgqXON\ndTLP3PtMAJlFIRiGYUpBRWbu1OslVzWJy+FCvbdeDbyS+54zbo5t5j4Y+4zZB6t2rVLi/pdlf0Gt\npxYO4cCezXtiybYl6urAjnvPvFfdnlQ/Cckbk7yUGsMwJaUixX3vMUYL2oGqSG753C04aPxBAICf\nH/dzXH7o5Th04qGqbwwxWCwDAG9d8hZWtq/E2BqjJXBSJtWJgyKgfNvqAvYLVDMMwxSTihT3k/c8\nGcuuXKZW1LHjqnlXqdtjAmOU6x5qLAMYC2HQFP+L5lyEh5Y+pCYk0WBnvgtiMAzDjAQVayH3H7t/\nXgtcWxnqgKoVqryh1gEnzjSac/E0f4ZhyomKdO7Dwdo6Nx/nrkMzYqlO/dJDLsXR045WURHDMEw5\nULHOvVD0/i4A8Ocv/HlIr6d4h3JzIQQLO8MwZcfuJ+6BjLj/9LM/xUl7njSk11NmX21LzzEMU13s\nduLe4GtQt+3WJR2M/cYag7gn73Fy0faJYRim2Ox2mbtDOOAQDqRkqiBxP2j8Qdh+3fas9UoZhmHK\nid3OuQOZrpKFiDtgLGZdSKUOwzDMSLFbijtNPKLBUYZhmGpjt4tlAODuU+/G8p3Lcfpep4/2rjAM\nw5SE3VLcT5l1ilpnlGEYphrZLWMZhmGYaofFnWEYpgphcWcYhqlCWNwZhmGqEBZ3hmGYKoTFnWEY\npgphcWcYhqlCWNwZhmGqECGlHJ0PFqIdwMYCXz4GwK4i7k65Uc3HV83HBlT38VXzsQGVc3zTpJSt\ng200auI+HIQQS6SUc0d7P0pFNR9fNR8bUN3HV83HBlTf8XEswzAMU4WwuDMMw1QhlSru94z2DpSY\naj6+aj42oLqPr5qPDaiy46vIzJ1hGIYZmEp17gzDMMwAVJy4CyFOFkJ8IoRYI4S4frT3Z6gIIe4X\nQuwUQizXHmsWQjwvhPg0/f8m7bkfpo/1EyHESaOz1/khhJgihHhZCPGxEGKFEOI76cer5fh8Qoh3\nhRBL08d3c/rxqjg+ABBCOIUQHwohnkrfr6Zj2yCEWCaE+EgIsST9WNUcXxZSyor5D4ATwFoAMwF4\nACwFsO9o79cQj+FoAIcAWK499isA16dvXw/gf9K3900foxfAjPSxO0f7GAY4tgkADknfrgOwOn0M\n1XJ8AkBt+rYbwDsA5lfL8aX3+b8A/AXAU9X0bzO9zxsAjLE8VjXHZ/2v0pz7PABrpJTrpJQxAI8A\nOGuU92lISClfA9BpefgsAA+lbz8E4PPa449IKaNSyvUA1sD4DsoSKeV2KeUH6dt9AFYCmITqOT4p\npQym77rT/0lUyfEJISYDOA3AvdrDVXFsA1C1x1dp4j4JwGbt/pb0Y5XOOCnl9vTtHQDGpW9X7PEK\nIaYDOBiGu62a40vHFh8B2AngeSllNR3fbwB8H0BKe6xajg0wTsQvCCHeF0Jcnn6smo7PxG65hmo5\nI6WUQoiKLmESQtQCWAzgGillrxBCPVfpxyelTAI4SAjRCOBxIcT+lucr8viEEKcD2CmlfF8Icazd\nNpV6bBpHSim3CiHGAnheCLFKf7IKjs9EpTn3rQCmaPcnpx+rdNqEEBMAIP3/nenHK+54hRBuGML+\nsJTysfTDVXN8hJSyG8DLAE5GdRzfEQDOFEJsgBF3fk4I8WdUx7EBAKSUW9P/3wngcRgxS9Ucn5VK\nE/f3AMwSQswQQngAfBXAP0Z5n4rBPwBclL59EYC/a49/VQjhFULMADALwLujsH95IQyLfh+AlVLK\n27WnquX4WtOOHUIIP4ATAKxCFRyflPKHUsrJUsrpMH5XL0kpz0cVHBsACCFqhBB1dBvAiQCWo0qO\nz5bRHtEd6n8AToVRhbEWwA2jvT8F7P8iANsBxGHkeJcAaAHwIoBPAbwAoFnb/ob0sX4C4JTR3v9B\nju1IGLnmfwB8lP7v1Co6vgMBfJg+vuUAbkw/XhXHp+3zschUy1TFscGosFua/m8FaUe1HJ/dfzxD\nlWEYpgqptFiGYRiGyQMWd4ZhmCqExZ1hGKYKYXFnGIapQljcGYZhqhAWd4ZhmCqExZ1hGKYKYXFn\nGIapQv5/Afw44RNPU8MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb17429b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UeHCLyJ+BP+A67ZYD16lqQVXTH2mLe/du1xpp2dIF1FtvQefOrs86NNRNM3q0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb751ef908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Stastistic: -2.032439\n",
      "p-value: 0.272533\n",
      "The graph is non stationery\n",
      "Critical values:\n",
      "\t1%: -3.443\n",
      "\t5%: -2.867\n",
      "\t10%: -2.570\n"
     ]
    }
   ],
   "source": [
    "\n",
    "ts_log = dragon.log(total_view['en'])\n",
    "plot.plot(ts_log.values,color=\"green\")\n",
    "plot.show()\n",
    "\n",
    "test_stationarity(ts_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Remove trend and seasonality with decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\NISHANT\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\filters\\filtertools.py:28: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  return np.r_[[np.nan] * head, x, [np.nan] * tail]\n"
     ]
    },
    {
     "data": {
      "image/png": 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992Bi/jURRzsTKXmlFjPYffN2Mv2HAwAse3IUDiYTj3+9B5PAuF7tcXW0s5jC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1vwZtPHUV8ZHisxXDjgxbW7AQDPruo44A5qaWs/AOBPXz2gyY4rEBG2dEdx+ITSA5JeW1sbSktL\n0djYCHYQLpNLqzr03UZff3Z9xRhLkx9EhN7eXrS1tWHatGl79Ix9McT3NICLmYGTAQwSUQdf3fc3\nAC1E9D9WAmOsznJ5IYA1+0CO/YrXNxoTkn2x9BhL4kKGRzEakYw+foY+/r+98w6vqsoW+G/fnt4T\nEnpCCb2IIBaKhSaKbQQdHX2KqKO+N44NxTrWUUcdHQdFZ8aCOqOj2EEsVClSA6EnIRDSe7+5bb8/\nTrn3JgFCEUI4v+/Ll3NPX+fss9dea6+99unEm8tzuPCl5WwrqD4h13M6ncTFxbVL5QT+IIn2jhCC\nuLi4Y7JE2xJm/hEwDogXQhwAHgOsAFLKN4BvUULMs1DCzP9HPfQc4HpgqxBis7pOCyd/XggxFMXF\nlwvcetQSnCB8apkQtM9CezqjKSiv99T4cA0UpJQs213K2D4Jh1QGn208AEBZ3YlrHLZX5QRKpXmq\ncKzP8bAKSkp5zWG2S+COVtavhNZrcynl9W29wfaC1mpxeb0n+U4MmmPRFNQp0rI0UPjolzweWrCV\nV6YP5bJhBw/wzSqpA6Cm0X3E15BS8tzCnXSJDeX6s7of9b22J04VC+p4YKQ6aiM+tVA0uAwF1d4w\nqa00r+/YPtzV2eXsKqo9Hrd0wsjMr+bZhTtOyUprX3k9APlVjYfcT3utlQ1HbkEtyizizeU5PP3N\n9iM+9mRiNpsZOnQoAwcO5JJLLqGqqkrfdiTFfObMmWzf3lL2d955hzvvvPOo7y88PPyojz0SDAXV\nRrTKr9FQUO0ObVzIsSqoa95aw8RXlrd5f3c7GI8y5/NM3lyWQ2Z+zeF3bme05W053f7vrbL+yC2o\nzXlKxT4gJeqIjz0eSCmpanDhOcKyEhISwubNm8nMzCQ2NpbXX3894Jz+/XyHaZi8/fbb9O/f/5D7\ntGdOqVx8JxOtHDS6T00FVVHvoqCqkYGdT86Herx4ftFOusWGMmOkf8iB1mjwnOA+KGc7KAudox1k\n5MH324sY1OXUerea1Wc6RD9FjdOvlI7GgsouVaw0TxsbL99vLyYi4JpPfLWN7QV+5e/x+bCY2t6u\n9/gkTW4vVosJm1k5rn9KJI9dMqDN5xg9ejRbtmzRf7/y0ov8+z8f43I1Mf2qK3nyyT9RX1/P1Vdf\nzYEDB/B6vTzyyCNMnz6dcePG8eKLLzJixAj+9a9/8eyzzxIdHc2QIUOw2+0A3HjjjUydOpWrrroK\nUKyjuro66urqmDZtGpWVlbjdbp566immTZsWdG+FhYVMnz6dmpoaPB4Pc+fO5bzzzmuzbIfDsKDa\niNZSaW5B3T5/A88ubN9jEQBueW89U19beUpZgFJKFmUW6paKlJK/L81m9mdbg/ZzehSZGo5BYTR5\nWj/2/L8s5ZHPWw8yDWysHM56c3t9R9yK3l1cS15FwyH3MauV5R61n6Y9kFfRQJ+HFwZV7K2hPTKX\nx8eSXSUs3VXSYp+aRo++fDQRtDllynNxt3Fw6y3vrafW6aHB5WmxzeuTNLl9RzRQVnvnRxsq4PV6\n+fHHH7n00ksBWLx4MVlZWXzw9Y98/N0KNmzcwPLly1m0aBEpKSlkZGSQmZnJ+AsuwuP1KeM3KxrI\nO5DPY489xsqVK/ls4Q9s27at1es1BZRph8PBggUL2LhxI0uWLOGee+5p4Ur+8MMPmThxIps3byYj\nI4OhQ4cepaStY1hQbcTXigXl8vhYmKmMwXlwcr/jfs2KehcWsyDScXSD3ALZtF8Zr7NhXyXn9o5v\n83HVjW7sFhMOq/mY7+FIWZlVxm3zN3LH+DTum5ge1Ffh8fqwqC3SJrdSCdQ3taxU2kpVQ+vuo5zS\nenJK63nyshZ5kvXrglIuwu0W3F4fFpNoEb00Y94a+idHtnqeQCrrXcxdls3N5/ZkwsuKuzH3uYsP\nun+1GjhwooY/LN5WxLBuMSRE2A+6z6LMIlweHx+vz+PxS4MthVVZZfTtFEFcuF1/XzVON//zr3UA\nLLtvXNBg+GOxoJo8XvaXKwpecwM3uDy4vZKoEP83JaXk9SVZXDIkRV9X3egm1GYJsnTK65rIr2ok\nNtRGl9i2jYXcXVyL0+0lMcJBpyhHm++9sbGRoUOHkp+fT79+/bjooosARUH99OMPrFk7BgC3s5E9\ne/Zw3nnncc899/DAAw8wdepU4nsNwVXjxOuTNLq9fL9sJePGjSMmNp4dRTWcP+Uyqor2B12zzukm\np6xe/+32eLnv/tmsXrUSk8lEfn4+Gbtz6Z/m916ceeaZ3HTTTbjdbi677LLjrqAMC6qNtBYksaPw\n2Pz+Tre31Va1zyd5/MttDH/yeya9vBwpJbkBBafJ49Urpub86+e9fLhWKXg/7SzmnZ/3AtApUvk4\n1uSUH9E9DnliMTf885cjOuZoWZVdFtSvo7WeM/KU8S97iv1WQuCHpFmFdc6WCkpKidvro6jayars\nsqBtLy3exfl/WQq0XsEfSuE1uDxBjZVGl5eiaie95yzkvxsOtLiH7QU1LNpWFNQCdXl8fPTL/qAy\nsCannHnLcxj1zI8HvXYgWjk4mII9ErYcqNIr9NbIKqlj1vsbOPPpH/CpLbaMvCp2FNaQkVdFaW0T\n4Hd9Nm/UeLw+rn17LdNe/xnwK5/A6LzV2cHlU9sWHWrVzx9IZn41L363CyklG/ZVUN3gptHlZW1O\nOYMeX4zHJ4l0WHSr55LXVjLkicVB59hX3sCLi3dz+/yNAfeqyCelpMHlUcuRss5sbrs9pJ3H4/WR\nV9HQar+l2+ujtNYZVDa0Pqh9+/YhpeSZF19hX3k9Ukruvuc+Pv5uBR9/t4JNmTu4+eab6dOnDxs3\nbmTQoEHMmfMwr/3luSBLT1v2+Fr211osFnw+H41uHz6fD5dL+RZemvtPcvOLWLduPZs3byYxKYnC\nilqySvzf3pgxY1i+fDmdO3fmxhtv5L333mvzs2kLh1VQaq68EiFEq34OdYDuq0KILDW33vCAbZOE\nELvUbbMD1scKIb4XQuxR/5+UXHzFNU5+2VvBg59t4fb5G3hvde5BO761ghbY77A6oLLXPrbC6kY+\nXp/XwhR++POtvL8mOMN8+iOLuPPDTS2ulV/VyDurcgEoqHby2cZ8xr24VK9gZ767vsVHptyjjye+\n2s5DCxQX2E3vrOfxr7azt6yecrUC1qyQTfsruf4fa/UsDKuzy7nu7bV6ZgSAkhplgN3avS1zBbu9\nvqBnMXdpdpAC+GF7MX9etLPFcW8uy2bh1kIKqhpZlFmor1+xp5Rr31rLvOU5+rqKeqVC0lrO2aV+\nBRU4aFNz8eWW1zN3aXbQhzl/7X56z1nIhJeXce1ba4Pu+dWfssgprWdbQTUb9/vl1o7fWRTQ96CW\ni1XZZSzKLKT/o98FPatGl5f3VucC8I+VSqMgI6+KynoXNU5FmZXWNrGr2B8l+P6afTz42VY+WpdH\nWV0TVQ0uqo4wlFqrwCsOYl1IKal1uimqdh420u/Sv/3MmBeWHHR7QYAFu1eNwLty7iom/3UF017/\nmdvmbwCgTlXsZpPSZ3jfJxlB93igspHyuiZduQZaSSXNlFCt2ugYmBJFXkUDb6/I4Z8r97Iqqwyf\nTzL1tZX8bUkWpXVNXDl3NTe/u477P93C9Hlr9Pc4pk+Cvqz1SQW68ParbtTtaoPTbBJ6n1Vdk4es\nkjrK6pr0cwQ+Ri0IwueTSCmDghZ8UuoKoarRTWWDi/xK5Rk2NHkorG5ESsmBykYKq52t9mmGhoby\n6quvMve1VyivbWTChAnMf/9dGuqVb2F/Xh7FxcUUFBQQGhrKddddx113/5GdWzNwe6UeiDJw2AiW\nLVtGcUkZbreb777+HKfbi88n6dGjBxs2bEAiWbp4IW63G5fHS01NNbHx8WAys2TJEvbvU+ovT8CA\n+H379pGUlMQtt9zCzJkz2bhxY3MRjom2uPjeAf6GMrdTawROtzEKJc/eKCGEGXgduAglgew6IcSX\nUsrtwGzgRynlc6rimg08cCyCHA6vT7Imp5zF24oIs1u4oF8iV85dHbTPwswi8ioamHOxEvWycX8l\n+8rruXxYF+rVAq211p1uLx+v8+fIzatoIDU+nAkvL6fW6aFXYjjDu8VQXONk1nvryTigVKjaWAyt\nsl2kKgiXx4cQSou4edhtlrrvt1sLaXR5WbFHUQQlNU4SIx14fZLF24r4dGN+kLwabyzNpkn9uDRF\nde8nGWSX1rMmp5zv7x7LwsxCVmaVseVAFV/fdR4RDgvjX1yqn8Pp9mK3mNhVXEtVg5v3Vufy444S\ntj0xkepGt66MNjx8IXHhdma+p8zbVVbbxKwxqazOKWfq4BSeXRistO6+sA+zxqSyTJ06YHdABa5V\nVsU1TUralHoXQoDVbGJ7QQ2XDyPonZTUNvHnRTsprnHy2CX92ZpfzVuqwqtRK7rthTUM7xbD+6tz\n9etc/OrKoHsqqGrki80FvPzDbn1dYbWTgqpGrn3Ln+94Xa5fcTe4PXyxuQCA/MpGap1upr3+M0O6\nRvPCVYP1/VbsLiO9U6R+HYCf95TxyOeZjE6NY0wfZQ63WWNSg5S19g7W5VaQW1bP1Wd2xW4x65V8\nZb0LKSVSwoe/7Gfq4GRCbGaufnMNGWok2xOXDuCGs3uoVoGXN5Zlszq7nI9mnRV0nQkvL+O7P4yh\nweVlf0UDfZMiaHR7g5TH1gPVpESFBAUf7FZD9IvUhk1Vg5sPVGv+T9MGBlmpd364idomrVHnzzRQ\nWttEg8vDnAWZ/G50d115DeoSxcqsMp76xt/f+4cLe+vLG9XGwvp9lYQGeDYenJxOXmUDLq8vSBFu\nL6hhRI9YwK+gALrGhmAzC71BollNRdVN/gHhPklpbRMur48wm5n9FQ0kRjpwe5Rr9OsUSXl9ExEB\nrnlNcWn1yD7VmopwWHXF1+TxYbdK/dv1qe9p8JCh9O43gIVf/Jd7f38LV/wmk+unTQCUgIZn/jqP\nquL9PPv4w5hMJoTZwv1/egGP16c3SmLiE5nzyKNcOP48HGGRpA8YRF2Th+zSOmZcdyPXTr+Sr74Z\nyagx4wkNC6OuycOUy3/D//7PNQwZMpjRo0bSu09fAPok+VNOLV26lBdeeAGr1Up4ePhxt6DaMlB3\nuZqN/GDo020Aa4QQ0Woqox5AlpQyB0AI8W913+3q/3Hq8e8CS/mVFZSUkt9/sFH/oL/MKGh1vxV7\nythRWMOby7L5XK1wUuPDdddeg9vLsD8tplJ1qdw6NpU3l+Wws7CWt1fs1Vt8V/x9FRP6J7GruJZ9\nAW6T91bn8sXmgqDW97urcnnsS3+n5YCU4HxyWit5/pr9zF/j9xuPfOZHFt89hqW7Snjm2+CKXwuv\nBfhkg6JIrWZBRX0TNU432aX13DC6Ox+ty+OtFTnsLKolJtSK1ye5++PNdIsNpT7Anbm9sIa//rCH\nZbuD56C555MMzu3l79N6Z1Uu14/2D4j8ZMMBPlFdXq3NX/PyD7uxmIWuqDfnVfHXH/bQJSaEvaob\nr6yuiRnz1pASHUJcmJ3O0Q62FdSwaX8lXp/E2azT+suMAsLtFv62JKvF9d5fvY9hXaNbPK9AZsxb\no1eyGlmldSzcWhi0LjCAYdP+KvKrGhnbJ4Flu0sZ9Lhi4WbkVenK12wSrMgq45YxqYA/sEGTfXVO\nOYO7RmEzm3hwcjoWk+DvS7P5dmshzy/aSVpCOD/uVAIJokNtTB2cTHWjG5vZhMvro67Jw/aCGh7+\nPJOHP89k8sBOunICeOzLbXyzpRCHzayn7gJ44NMtfBbQuNldXMfN767nJ/VaEQ4LcWE2rhzeRd8n\n40AVPeOVvqKpg5P5ekshoXbFpacp3l8CLO/PN+fTPaDfZl95ve4q2xvgri2pdfKXxbtZsCkfs0mQ\nlqCMtxncSvTp6wHvd12u/3vSFElylINbx6bxxFfbcHl8QWPc5q/ZxxndYxBCkFfRgM1sYkDnSIZ2\njcZkUize6oDwcInUlXGTx6db9ZoPpbyuSVcsO4pq8PpkUICHhk9NOq15aoqrnQTNBaAAABaBSURB\nVLryqnF6KKp24vL6WLXzAFkldTjdXqJCrLz2r38DsKu4lltuu4NLrr0ZkxD6sT3TUtm0OQOn20tV\ng5vy+ia8UvLeZ9/idHvx+iRnTbqSn6/+LcUBZbvR7QVLOG9/+h2RDis1TjcPPf4UdU1eYmLjeP8L\npRx3jg7B5fVRVufCbjFRV6eU3RtuuIEbbrihhZzHi+MRJHGw6TZaWz9KXU6SUmpfexHKrLutcryy\nmVvMJgZ2juTnLKVIHahsfXDgzqJaLv3bStxeybm94lmTU87T3+zQC19hVaOunAZ2juSBiel8nVHI\naz/tYX9FA7eOSaV7XBgPLdjK4u3FLc7/6Bcto2cClRPANjX6aVi3aDbtryLzENFQWke6xtOXD2TO\ngky9H2pMnwS9MhrVM47s0jq2qWNmxqcnsjW/Wm/lXjY0hdSEcF76fjfZpXVc2C+Jmef1ZMa8NVwz\nbw1NHh8jusewPkC5frG5gC82FxAXZuOM7jG89lMWr/2kVBy3j0vjvxsO6H0HWoV3QXqiXtECvPDd\nLgBSE8LIKa0PslyiQqxUN7pZu7eCCLuFpCgH/VMi+TqjkMv/vgqAM3sEe4gr6l2tKieABZvyWbBJ\nqYwfmpLeqqJqrpwAlu0q5fNNwY2awApPi0CbPTm9hRJ/+lul1X9+eiLfby9mUWYhZXUulu8uxSQg\nIcKOTyqVXGltE1GhVoQQelLi33+guE1yyxvoGR/G3rJ6dhXVMj49Ea9PkpYUxu7iOi58aRkhAf0+\nCzOLWryvXwKsvqtHdGFfeUOQctL4KeD91Do91Do9fLwhj0iHhQEpUfyyt0JXUPdN7Et6pwheXLyb\n7QU1evkNjCx88LOt2CxKj8L4vgks2aXIrp1fo6DKqbuUqxrc1DjdWEyCvp38rfa5vx3OyqwyPli7\nn8QIOyW1TUEy1jo9jO+bwLNXKJarzaIocC0jxcWDk/l8cwF3XdCbJTtL+HpLIV1iQvjs9rMRQrBm\noxLSva+igbjw4GCQMJtFt4I0TEIEeSy0ZW0/IYRuyUj8/Z1x4XbK6/xWaVWDKyjkXnP5Ne9v1vo+\nbRaTvo/L42N7QQ2y2eiy5m7DukP0q2oWpsvtQ0oIt1v0/TWvjs1sOqFpoE56kIRqeR3UOS6lnCel\nHCGlHJGQcNgp7A/JhP6dgn4/OrU/l7eSYsXtlXz7v+cxf+YobhubFvRRLwmwApKjQjCZBFMHJ5Nb\n3oBPwoyR3bh2VDfuGJ+m7/enaQP4vwt6c/eFffR1K+4fz6Vq1FBChJ2fZ5/PtaO68e5N/imcbzpH\nyQAc2ApOiLCz5N5xPH/lYNISgqf+mDOlH0PU7MafbjxAv+RIfjvKr9T7p0RSXu9iwaYDCAGDOkfR\nI95/DqvZxLBuyvFVDW76p0QyqqfiBmny+Pjd6O78e9ZZxIXZlGdx7zj92P/cOppXZgzltrGK3N3j\nQnlgUjoPX9wyuvGhVtaF2cx8dMtZ2C0mpg1NoU+S0nI+KzWWcX2V917b5CE6xEr/lChqAz60wNYz\nKG4azVUGkBhh5/z0RFbNPj9ov/ROkfx0z1i6HSYiy24x8c6qXFxeHylqJFaPuFDdbQiwJqeCxAg7\n/ZIjmTSgE6E2sz7uReOG0T0AuG3+Rh7+PJORPWPZ9MgE1j50IQ9MSscnFddTtBphFhvmdxFdMbwz\nvx3Vjf/MOoteieFsyqvU+3Y0l2FxTRO55Q0M6xbNSNV9dXaAdTv3t/4pQQakRPL8VUN48/ozePyS\n4IGcMaFW3r95JNNHdOW+iX2Zf/Mo4sNt5FU0khTpYHRaHNsKanj0i230TYqgW2yo7vaZ8uqKFtlW\nVtw/ntvGpumurP6qh8AnlZa5Ru/EcLbmV1PVoCilnLI6ahrdRIZYgyL7eieFM0JtlGhRkYHfCMBd\nF/TWo+bsZhMuj4+9ZfXYLCbunaC4qhZuLeSpb3aQX9VIv+RIveL1NQtkCaS1iqp/SmSQ1dacULXR\nYA0oD0mRDjpHh5AQYSfCYaVHXBiJEQ56J4XTOyBre+CYq96JyjehKR27qvC1aFaH1aTvb7f4GyqB\nCqW+yUOozYLVbCIqxEpiRPD9RjqseKXE6fbqDYpArOYTqzJ+zek2rAdZD1CszbqrugNbDoD4Ffjd\n6O6MSo3ltvc3kFvewBndY7h0aAqJEXa6xYVyfnoibyzNJi7crn9EN57Tg7dW5OD2+lqkGNEq6vRk\nf4HS3Bj3TUznfy/ozfrcSs5RK4n6Jg8v/7Cb35zRha6xodw7oS9ZJXW8es1QOkeH8MzlgwB46eoh\nVDe6iQu3Bd37e6v3cce4NHrGh9EzPowrhndGCEHaQ99yTq84bhmTGjSe59IhKYwNqKjjwmxq+O8B\nZo1JJS7cTk/1w+8eF8rt49KCWoyp8WFBhfvO8b2wmE18dde52C0m4sLtLL9vPHariSQ1SnD25HSu\nHdmNMNXdM3FAJy4f1pkxfeK5+z8ZTB/RlbSEcHY9NYm+Dy+if3Iksyenk54cQWKEg42PXESI1cxN\n765jd3Ed04Z2ZsqgZMY8v4T9FQ1Eh1qDXKCBrTxQWpXL7xuPEIL3VueyvaCGZ68Y1GqrL71TBImR\nDh6YlM4dH24kOtTK7EnpzP5sKxaTYPdTk3F5fbz20x4+Xn+AO8f34sozulBS4+TtlXvJLfe7W6sb\n3VzYT3EEvHH9GQBkldRy4UuKhfvp7WcztGs0Fw9OJtJh5YzuMUwe2Ikwu0V//qBY8JpFGBvmfxd/\nvnKwXjn07RTBN1sUB8StY1O58ewe5FU2cP/EdHYW1TBlUDJVDW5mvb+e35zRhWtGdsViMpEQYSfr\n6ck88kUmvx2luGGjQ23ceE5PUhPCeeWH3USGWPnzlYNJinRwXm9/2bnqjK68sSybrrGhTBrYiQ/X\n7sfp8XL7uDSEEFzQL4nbx6Uxd2k2AP2SI9lRWMPOJyfhsJq5Z0If3liWrT53//sb1zdBt+AHd4nW\nra4bz+7BO6ty6ZsUQaTDgtkkeHLaAOatyKFbbBg948PpkxRB/+RIQqxmGt1eHFYTFw9K4cnLBhBq\n81dtWkW7u7iWHnGh9IgLpWtsCC8u9lvqWsMMIMRqRkqJEKKFxaG55rrEhHCgshEhBCYhSIxwUFjd\nSJjNQkKEHbNJUOf0EB1q0130IVazfrymXJKj/Ao6MiD0XSvXXWJCyC2vJyrEit1qRiBo8vgQQhBi\nVfogw2xmusZEYDIJKhtc5FU0EGoz63WBPcDSAugaExKkfMLsZhyqzCCoKVLu12o2kZoQTrXqMgRF\nCR4Jx5qC63goqC+BO9U+plH4p9soBXoLIXqiKKYZwLUBx9wAPKf+/+I43MdhEUKQ3imSl6cP5Z1V\nuQxIicRiNvHgFH+L/olpweNU4sPt3DY2jT0ltVx3VnfWZJfzqurCilUVVGCLx2TyV4R2i1lXTgBh\ndgtrHrxAP65bXCjf/l/LUddXqL7+RpeX6SO68ruzu9M3KYKHpvTTCzb4W06bH71IbzHZLWa6xoaQ\nV9HI1MHJOKxm3rhuOOF2K4XVfrfmHeN6ATBrbCrpyZFc2C9Rr8QTIuyU1jbpLpx5159BVmkdiaoS\nSglo9XaLa2l9BK5zWM28PF0ZGzFxQCe94rBbzKybcyGhNrNeSWvPCOCRqf3pl3yACf2VSn9g50j2\nVzQQFWKjn1rBdYkJYdEfxjDwse/047WKBeB3qsUSyKwxqWTmV3P7uDRdHm1MT4jVrCtar5SYTAKH\nycx9E9O5d0Jf/bzhCeGM6hmru1Gfu2IQ/16Xx4wzuwZdq2e8P1/Z8G7RCCEOOrFh304RmE2Kqygq\nxKavO7dXPHdf1Duo5XrHuF706xRBakI4kwZ0wmQSLPj9OQCMTosDlBb6svvGt7iOxWzSXV+BjOmT\nEGR1NueO8WmkJYRxYb8kYsJsrHnogqDtZpPg/ol96RYbytlpcUQ4lLBwRyvWQ2D5GZ0Wpyuo+yf1\n5dONB7hyeBdSE8Lx+CQ5pfV6xX396B5cH/BOtfRFnWNCyCqpY0L/Tvzl6iEt7l2rjHcV1TKocxRC\nCF67ZjiXqeHugecCiI4Iw251U+pWrhtqs+hRf5p1FemwEhXi0Rt08eE2IhwWHFYzoWoZ1qoFrb8q\n1G7W3WiBFk5rpESHUFHvIsJhoV9yJGZVEdosJpo8Xkz4w/i9PqnXO1EhVpwRduLD7Pp1Ix1WXUF1\niQnB3iz8P6LZOEutT9NqNhFutxBut9Dk8VLX5CHE1vbxkNp8UA5H28d/NedXm25DSukRQtwJfAeY\ngX9KKbXOlueAj4UQNwP7gKuPWoKjYFi3GIZ1a3tk+90X+V1zZ6fFU9HgYv6a/bqi0Tpy28KRDNYL\nsZn5c0AE2MHKdHSoLej3+zeNYuP+Srqq1tykgcr0W7uLa0lRO46jQpVCabeYuah/cBfg53ecw/w1\n+3RLZcKATkxo810fnMBWLXDIwZ5pCeE8MCld/z0gJYpvtxYRFWIlxGbmg5mj6J0UTrjdwtd3nUtl\ng4vr//HLYRNpPjSlpXsxMkS5r0AF1bzh19wC0xTBeb3jmTGyW1DqJQ1zQGPlcH77SIeVEd1jWLu3\ngmj13USFWJk/c1SLffunROoW/okiwmHlNyO6HnIfIQTXBDwH7fvQ+GDmKLJK6khVGz6zJ6fTNWDy\nz6RIxYIOtZn1fry95fW6u/JgDEiJVM6b0Pps15qrtbDaydTByrcwtGs0H85UvpPBXaL19wnQpUsX\n8vIOUFxUgUAQG2bT+40SI+w4PV721CrvqKENvp/iGidur8QbrpzHYhLk1ratHqgOjsuhvK6JRrcP\nswBZ5aC42ok7zMaOsuDKoQpoaHQrARIhVsrqXITZzBTX2mjZMx5MRb2LBpcXb4WNYlWZVTa4qG/y\nIivtFLfi+jsY2oy6R8uvNt2Guu1bFAXWfH05cEHLI04ttAooxGbmrvN7MTo17jBHnBh6xIcF9S1p\n9EmKYNWDh3/snaNDgpRDe0BTllrlHWiZDuwcRZXaWjwal0JaQjgXD07mjnG9SIo8uNIMJDHCwVd3\nnkvvpEM3TlbcP77NeeB+N7oHtU4PkwZ0OvzOpyDn9IrX31vW05OxmE1BEWXgV2rxqnvb5fHpDYiD\noQVQxDRrqGlYAyrUQJfa2b3ig/ro9P2tVlJTe1JhiuLrLYXMGdWP3nMWcuPZPXj87Lbn0NOY+dxP\n5Fc18sMfx5AW6SDcZgnytBwJzy/ayd+XZnNmjxg+uW04h85LouDzSf6xci8zhndtYS21xifr87jv\nyy2suH+83sita/Lw084SBg9MPqFBEkaqo+PEPWrHq8Gvw6DOUdgtpoMGNEQ6rDisplYtpMNhNZt0\n15uWIaEtcwe1JTlr1zamxAEluuziwcmH37EDoLmnE8LtnNkjhpvPDZ4SPC6g/+1wqb5uOqcnFpNg\n+pmtW3i2IPdi2z0YI3rE6mOltj0x8ajTffWIDyW/qpHESMcxpy3TgjAO5X1ojskk9KENbeHK4V3o\nlxwZVHbD7RY9qOtEYiioo+CyoZ2Zv2Y/5x1BTjuDYyMu3M7KB85v4TbSMJkEO5+cfMzXUc4zqUUE\nnsGvg8kk+OS2s1usDwwQinAcuppyWM3MGpN20O22g1hQR0JgP+mR8rdrhrOtoOa45NQcpXpprh35\n602+aDKJdjPrgaGgjoIRPWIPmcDT4NfhSFqNx8LJSIxrEEx4gEI41oo9MLAo+QgsqONFTJjtiBI0\nH4o+SRHkPDPlqF2EpxpGM9HAwKDdIYTQrdjA8OujIdCCig87MY2cX5PTRTmBoaAMDAzaKVqk6ZGE\nNreGzew//nSq3DsChoIyMDBol/zjhhH0SQrXs6McLVY155/Rr3jq0aY3drBpMwK2xwghFqjTbfwi\nhBioru8rhNgc8FcjhPiDuu1xIUR+wLYpx1c0AwODU5nBXaJZfPfYoDx8R4Pm4jsZ/U8Gx0ZbBuoe\natoMjYeAzVLKy4UQ6er+F0gpdwFDA86TDywIOO5lKeWLx0cUAwMDg5ZouQG1QdgGpw5tsaBGok6b\nIaV0Adq0GYH0B34CkFLuBHoIIZpnKL8AyJZS7sPAwMDgBJHeKQKLSfDHgIwwBqcGbVFQB5tOI5AM\n4AoAIcRIoDtKcthAZgAfNVt3l+oW/OfBZtUVQswSQqwXQqwvLW05n5CBgYHBoYgLt5P1zBTOaieZ\nXgzazvEaB/Uc8FchxGZgK7AJ0NPnCiFswKXAgwHHzAWeRMlg/yTwF+Cm5ieWUs4D5qnnKRVCHK0F\nFg+UHXavjoch9+nF6So3nL6yn4pyt2mkcVsU1MGm09CRUtagJokVSqKmvUDgfNWTgY1SyuKAY/Rl\nIcRbwNeHuxEp5VFPCCWEWC+lHHG0x5+qGHKfXpyucsPpK3tHlrstLr51qNNmqJbQDJTpMnTUad61\n3CQzgeWq0tK4hmbuPXUeKI3LgcwjvXkDAwMDg45LW7KZtzpthhDiNnX7G0A/4F0hhAS2ATdrxwsh\nwlAiAG9tdurnhRBDUVx8ua1sNzAwMDA4jWlTH1Rr02aoiklbXg20GiIjpawHWvROSimvP6I7PXbm\nneDrtRcMuU8vTle54fSVvcPKLY51Sl4DAwMDA4NfAyP3h4GBgYFBu8RQUAYGBgYG7ZIOr6AOl0fw\nVEcd5FwihMgMWBcrhPheCLFH/R8TsO1B9VnsEkJMPDl3fWwIIboKIZYIIbYLIbYJIf5PXd+h5QYQ\nQjjUfJcZquxPqOtPB9nNQohNQoiv1d8dXmYAIUSuEGKrmrN0vbrutJAdKWWH/UOJOswGUgEbSsaL\n/if7vo6zjGOA4UBmwLrngdnq8mzgz+pyf/UZ2IGe6rMxn2wZjkLmZGC4uhwB7FZl69Byq7IIIFxd\ntgJrgbNOE9n/CHwIfK3+7vAyq/LkAvHN1p0Wsnd0C6oteQRPaaSUy4GKZqunAe+qy+8ClwWs/7eU\nsklKuRfIQnlGpxRSykIp5UZ1uRbYgZJ+q0PLDSAV6tSfVvVP0sFlF0J0AS4G3g5Y3aFlPgynhewd\nXUG1JY9gRyRJSlmoLhcBWuLeDvc8hBA9gGEolsRpIbfq6toMlADfSylPB9lfAe4HfAHrOrrMGhL4\nQQixQQgxS113Wsh+vHLxGbRTpJRSHUDd4RBChAOfAn+QUtYoWbYUOrLcUkovMFQIEQ0sEOr8awHb\nO5TsQoipQImUcoMQYlxr+3Q0mZtxrpQyXwiRCHwvhNgZuLEjy97RLajD5hHsoBRrqaTU/yXq+g7z\nPIQQVhTl9IGU8jN1dYeXOxApZRWwBJhEx5b9HOBSIUQuipv+fCHEfDq2zDpSynz1fwnKfHojOU1k\n7+gK6rB5BDsoXwI3qMs3AF8ErJ8hhLALIXoCvYFfTsL9HRNqQuJ/ADuklC8FbOrQcgMIIRJUywkh\nRAhKGrGddGDZpZQPSim7SCl7oHzDP0kpr6MDy6whhAgTQkRoy8AElLylHV52oGNH8UklqmUKSpRX\nNjDnZN/PryDfR0Ah4EbxN9+MklrqR2AP8AMQG7D/HPVZ7AImn+z7P0qZz0Xxy28BNqt/Uzq63Koc\ng1Gms9mCUlE9qq7v8LKrsozDH8XX4WVGiUDOUP+2aXXY6SC7lNJIdWRgYGBg0D7p6C4+AwMDA4NT\nFENBGRgYGBi0SwwFZWBgYGDQLjEUlIGBgYFBu8RQUAYGBgYG7RJDQRkYGBgYtEsMBWVgYGBg0C75\nf2Ckvabd9O9rAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb198bacc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Naive decomposition of our Time Series as explained above\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "decomposition = seasonal_decompose(ts_log.values, model='multiplicative',freq = 7)\n",
    "\n",
    "trend = decomposition.trend\n",
    "seasonal = decomposition.seasonal\n",
    "residual = decomposition.resid\n",
    "\n",
    "\n",
    "plot.subplot(411)\n",
    "plot.title('Obeserved = Trend + Seasonality + Residuals')\n",
    "plot.plot(ts_log.values,label='Observed')\n",
    "plot.legend(loc='best')\n",
    "plot.subplot(412)\n",
    "plot.plot(trend, label='Trend')\n",
    "plot.legend(loc='best')\n",
    "plot.subplot(413)\n",
    "plot.plot(seasonal,label='Seasonality')\n",
    "plot.legend(loc='best')\n",
    "plot.subplot(414)\n",
    "plot.plot(residual, label='Residuals')\n",
    "plot.legend(loc='best')\n",
    "plot.tight_layout()\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "ts_log_decompose = residual\n",
    "#ts_log_decompose.fillna(inplace=True)\n",
    "#test_stationarity(ts_log_decompose)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Remove trend and seasonality with differencing\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WRYldAEBvzgrMITDliauDjWm9Ij37SRcAcrDTLYCcK8xk4DJrCezq9a1NIUTB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb174292e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_log_diff = ts_log - ts_log.shift()\n",
    "plot.plot(ts_log_diff.values)\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SQElaBWSWQV7TF2b9yqteu0tRVr9OyXgTmZnnLiZbVUAzZ8Ltt1tdgyjZEoC2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\nCEIrRQRAEAShlSICIAiC0Er5Pw5FBze9SX/nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb751f7438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Stastistic: -8.154260\n",
      "p-value: 0.000000\n",
      "The graph is stationery\n",
      "Critical values:\n",
      "\t1%: -3.443\n",
      "\t5%: -2.867\n",
      "\t10%: -2.570\n"
     ]
    }
   ],
   "source": [
    "ts_log_diff.dropna(inplace=True)\n",
    "test_stationarity(ts_log_diff)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "The ADF statistic is much lesser than critical value at 1%. So there is 99% confidence interval that our graph is now stationery.\n",
    "Now we can apply the ARIMA model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot the autocorreltaion and partial auto correlation functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3hBbnWnFCizOCdSSqWisiU4C5hK4YeFpVi10uq701zLewVEQWh5fd\nrapzDvMa0zHdAswMv7lZB1ztcj3tSlXnichLwEJCV7stIgGHhRCRWcDJQI6IbAZ+QmhulRdF5FpC\nQ+Jf0i5t21AQxhjjTYl2CsgYY0wrWQAYY4xHWQAYY4xHWQAYY4xHWQAYY4xHWQAYY4xHWQAYY4xH\n/T+8Lh5nZh0RkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb199cfe10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z36ngs394iX+/uynoslJKavylBcTMKA6HdG0o6bA276jl4ulzyM5IZ9pFpeTn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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb18b4ec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ACF and PACF plots\n",
    "from statsmodels.tsa.stattools import acf, pacf\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "\n",
    "lag_acf = acf(ts_log_diff, nlags=10)\n",
    "lag_pacf = pacf(ts_log_diff, nlags=10, method='ols')\n",
    "\n",
    "#Plot ACF: \n",
    "plot.subplot(1,1,1)\n",
    "\n",
    "plot.plot(lag_acf)\n",
    "#print(lag_acf[0.5])\n",
    "\n",
    "plot.axhline(y=0,linestyle='--',color='g')\n",
    "plot.title('Autocorrelation Function')\n",
    "plot.show()\n",
    "\n",
    "#Plot PACF:\n",
    "plot.subplot(1,1,1)\n",
    "plot.plot(lag_pacf)\n",
    "\n",
    "plot.axhline(y=0,linestyle='--',color='green')\n",
    "plot.title('Partial Autocorrelation Function ')\n",
    "plot.tight_layout()\n",
    "plot.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Auto Regressive (AR) Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jTthEcNsI1twVTRoZFBYkakW1LmD+uqJRW9QIWzgRRbWovSHD1PHMmlo8uboG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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb6a3e9f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# follow lag\n",
    "model = ARIMA(ts_log.values, order=(1,1,0))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plot.plot(ts_log_diff.values)\n",
    "plot.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plot.title('RSS: %.7f'% sum((results_ARIMA.fittedvalues-ts_log_diff.values)**2))\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Moving Average (MA) Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hlSVlqDbTBcfe7+QEPvPRhTj6959YzkVVLZZPXpBq3bbg5JPLNAERWSQ2p4Vg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\nZmYt9f/vb9lg33wSKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1995b7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# follow error\n",
    "model = ARIMA(ts_log.values, order=(0,1,1))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plot.plot(ts_log_diff.values)\n",
    "plot.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plot.title('RSS: %.7f'% sum((results_ARIMA.fittedvalues-ts_log_diff.values)**2))\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ARIMA MODEL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W8s3lgiP3jxUEHvrqDHr/b5LtWEhRI+vJW6zaeFtwGoPLpICktFlssSaCXfHO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\nYBiGqVBYADAMw1QoLAAYhmEqlP8GkpfusSXu+PAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1999ea20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log.values, order=(1,1,1))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plot.plot(ts_log_diff.values)\n",
    "plot.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plot.title('RSS: %.7f'% sum((results_ARIMA.fittedvalues-ts_log_diff.values)**2))\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                    D.y   No. Observations:                  549\n",
      "Model:                 ARIMA(1, 1, 1)   Log Likelihood                 699.951\n",
      "Method:                       css-mle   S.D. of innovations              0.067\n",
      "Date:                Thu, 16 Nov 2017   AIC                          -1391.902\n",
      "Time:                        18:51:33   BIC                          -1374.670\n",
      "Sample:                             1   HQIC                         -1385.167\n",
      "                                                                              \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [95.0% Conf. Int.]\n",
      "------------------------------------------------------------------------------\n",
      "const          0.0008      0.000      5.830      0.000         0.001     0.001\n",
      "ar.L1.D.y      0.8753      0.021     41.812      0.000         0.834     0.916\n",
      "ma.L1.D.y     -1.0000      0.005   -182.566      0.000        -1.011    -0.989\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                 Real           Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1            1.1425           +0.0000j            1.1425            0.0000\n",
      "MA.1            1.0000           +0.0000j            1.0000            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from pandas import DataFrame\n",
    "print(results_ARIMA.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Printing Predicted vs Expected Values...\n",
      "\n",
      "\n",
      "predicted = 4598.531984,   expected = 4461.695661,   error = 3.066913  %\n",
      "predicted = 4545.847079,   expected = 4456.174589,   error = 2.012320  %\n",
      "predicted = 4540.171993,   expected = 4775.697611,   error = 4.931753  %\n",
      "predicted = 4830.782628,   expected = 4818.150572,   error = 0.262176  %\n",
      "predicted = 4869.845933,   expected = 4824.929940,   error = 0.930915  %\n",
      "predicted = 4876.101143,   expected = 4704.449021,   error = 3.648719  %\n",
      "predicted = 4766.951867,   expected = 4559.138958,   error = 4.558161  %\n",
      "predicted = 4634.348797,   expected = 4347.536502,   error = 6.597122  %\n",
      "predicted = 4439.972419,   expected = 4645.420275,   error = 4.422589  %\n",
      "predicted = 4711.544906,   expected = 4904.789282,   error = 3.939912  %\n",
      "predicted = 4947.160761,   expected = 5161.465903,   error = 4.152021  %\n",
      "predicted = 5178.931930,   expected = 4982.463373,   error = 3.943201  %\n",
      "predicted = 5018.832630,   expected = 5385.581882,   error = 6.809835  %\n",
      "predicted = 5380.404561,   expected = 5375.034802,   error = 0.099902  %\n",
      "predicted = 5372.382553,   expected = 4285.937241,   error = 25.349072  %\n",
      "predicted = 4388.620228,   expected = 4677.027045,   error = 6.166456  %\n",
      "predicted = 4743.318581,   expected = 5160.568110,   error = 8.085341  %\n",
      "predicted = 5179.450533,   expected = 5133.131367,   error = 0.902357  %\n",
      "predicted = 5156.237266,   expected = 4491.738220,   error = 14.793806  %\n",
      "predicted = 4577.922721,   expected = 4463.490377,   error = 2.563741  %\n",
      "predicted = 4550.554386,   expected = 4575.656048,   error = 0.548592  %\n",
      "predicted = 4652.190790,   expected = 4407.842957,   error = 5.543479  %\n",
      "predicted = 4499.056069,   expected = 4683.545711,   error = 3.939102  %\n",
      "predicted = 4749.298286,   expected = 4947.523229,   error = 4.006549  %\n",
      "predicted = 4988.025048,   expected = 5125.385308,   error = 2.679999  %\n",
      "predicted = 5148.303014,   expected = 4821.126638,   error = 6.786305  %\n",
      "predicted = 4875.587103,   expected = 4773.433466,   error = 2.140045  %\n",
      "predicted = 4831.999069,   expected = 4863.653932,   error = 0.650845  %\n",
      "predicted = 4913.313988,   expected = 4465.778829,   error = 10.021436  %\n",
      "predicted = 4552.898695,   expected = 4549.469222,   error = 0.075382  %\n",
      "predicted = 4590.392329,   expected = 4867.676332,   error = 5.696435  %\n",
      "predicted = 4867.763057,   expected = 5061.669944,   error = 3.830888  %\n",
      "predicted = 5091.225420,   expected = 4770.950971,   error = 6.713011  %\n",
      "predicted = 4830.220203,   expected = 4598.957193,   error = 5.028597  %\n",
      "predicted = 4634.356320,   expected = 4556.139000,   error = 1.716746  %\n",
      "predicted = 4594.873466,   expected = 4196.585739,   error = 9.490756  %\n",
      "predicted = 4274.918825,   expected = 4412.663348,   error = 3.121573  %\n",
      "predicted = 4461.135152,   expected = 4854.236934,   error = 8.098117  %\n",
      "predicted = 4902.771394,   expected = 5007.175419,   error = 2.085088  %\n",
      "predicted = 4979.852830,   expected = 4733.914302,   error = 5.195247  %\n",
      "predicted = 4795.520465,   expected = 4893.513896,   error = 2.002517  %\n",
      "predicted = 4882.761740,   expected = 5076.804795,   error = 3.822149  %\n",
      "predicted = 5043.612274,   expected = 4722.409822,   error = 6.801664  %\n",
      "predicted = 4737.746110,   expected = 4966.395014,   error = 4.603921  %\n",
      "predicted = 5005.127552,   expected = 5341.824954,   error = 6.303041  %\n",
      "predicted = 5276.477578,   expected = 5396.313672,   error = 2.220703  %\n",
      "predicted = 5391.498307,   expected = 5451.523685,   error = 1.101075  %\n",
      "predicted = 5441.310186,   expected = 7531.714037,   error = 27.754690  %\n",
      "predicted = 7260.731114,   expected = 6177.604115,   error = 17.533124  %\n",
      "predicted = 6084.980805,   expected = 5552.835656,   error = 9.583304  %\n",
      "predicted = 5535.444790,   expected = 5393.884312,   error = 2.624463  %\n",
      "predicted = 5394.736751,   expected = 5930.484652,   error = 9.033796  %\n",
      "predicted = 5830.757544,   expected = 5996.837564,   error = 2.769460  %\n",
      "predicted = 5927.625314,   expected = 5350.590053,   error = 10.784516  %\n",
      "predicted = 5359.834942,   expected = 5190.772109,   error = 3.256988  %\n",
      "predicted = 5217.577032,   expected = 4951.469014,   error = 5.374325  %\n",
      "predicted = 5004.392289,   expected = 4743.792890,   error = 5.493482  %\n",
      "predicted = 4817.826911,   expected = 4796.249336,   error = 0.449884  %\n",
      "predicted = 4864.480407,   expected = 4946.184379,   error = 1.651859  %\n",
      "predicted = 4998.925461,   expected = 5346.322341,   error = 6.497866  %\n",
      "predicted = 5355.385047,   expected = 5338.682719,   error = 0.312855  %\n",
      "predicted = 5349.825329,   expected = 4862.760370,   error = 10.016224  %\n",
      "predicted = 4926.471543,   expected = 4573.513481,   error = 7.717438  %\n",
      "predicted = 4665.252997,   expected = 4471.051435,   error = 4.343532  %\n",
      "predicted = 4571.385512,   expected = 5060.066741,   error = 9.657604  %\n",
      "predicted = 5100.828905,   expected = 5288.320765,   error = 3.545395  %\n",
      "predicted = 5304.920099,   expected = 4844.469761,   error = 9.504659  %\n",
      "predicted = 4910.369442,   expected = 4987.674797,   error = 1.549928  %\n",
      "predicted = 5037.735196,   expected = 4659.800896,   error = 8.110525  %\n",
      "predicted = 4723.923065,   expected = 4610.895180,   error = 2.451322  %\n",
      "predicted = 4699.036984,   expected = 4540.718351,   error = 3.486643  %\n",
      "predicted = 4635.053564,   expected = 5119.283350,   error = 9.458937  %\n",
      "predicted = 5111.693441,   expected = 5171.994400,   error = 1.165913  %\n",
      "predicted = 5202.083997,   expected = 5281.185830,   error = 1.497804  %\n",
      "predicted = 5299.361324,   expected = 5239.822217,   error = 1.136281  %\n",
      "predicted = 5263.294304,   expected = 4938.917579,   error = 6.567770  %\n",
      "predicted = 4995.726416,   expected = 4839.252447,   error = 3.233433  %\n",
      "predicted = 4875.501446,   expected = 4502.934254,   error = 8.273876  %\n",
      "predicted = 4602.674616,   expected = 4693.526547,   error = 1.935686  %\n",
      "predicted = 4773.928545,   expected = 4878.563340,   error = 2.144787  %\n",
      "predicted = 4900.925126,   expected = 5020.668409,   error = 2.385007  %\n",
      "predicted = 5023.125497,   expected = 4780.858055,   error = 5.067447  %\n",
      "predicted = 4853.331085,   expected = 5022.764186,   error = 3.373304  %\n",
      "predicted = 5023.599808,   expected = 4569.371951,   error = 9.940707  %\n",
      "predicted = 4662.933269,   expected = 4307.292227,   error = 8.256720  %\n",
      "predicted = 4423.463441,   expected = 4305.782230,   error = 2.733097  %\n",
      "predicted = 4390.617079,   expected = 4978.795006,   error = 11.813660  %\n",
      "predicted = 5028.297294,   expected = 5431.387216,   error = 7.421491  %\n",
      "predicted = 5431.416669,   expected = 5311.259001,   error = 2.262320  %\n",
      "predicted = 5262.762910,   expected = 4931.477020,   error = 6.717782  %\n",
      "predicted = 4939.730300,   expected = 4997.991248,   error = 1.165687  %\n",
      "predicted = 5047.851728,   expected = 4683.314294,   error = 7.783749  %\n",
      "predicted = 4726.166497,   expected = 4971.831757,   error = 4.941142  %\n",
      "predicted = 4972.781407,   expected = 5140.463373,   error = 3.262001  %\n",
      "predicted = 5174.922099,   expected = 5770.371661,   error = 10.319085  %\n",
      "predicted = 5731.184083,   expected = 6040.680728,   error = 5.123539  %\n",
      "predicted = 5969.544126,   expected = 5860.227559,   error = 1.865398  %\n",
      "predicted = 5813.322038,   expected = 6245.127510,   error = 6.914278  %\n",
      "predicted = 6150.033018,   expected = 5201.783018,   error = 18.229326  %\n",
      "predicted = 5235.741186,   expected = 5127.916418,   error = 2.102701  %\n",
      "\n",
      " Means Error in Predicting Test Case Articles : 5.420564  %\n"
     ]
    }
   ],
   "source": [
    "size = int(len(ts_log)-100)\n",
    "train_arima, test_arima = ts_log[0:size], ts_log[size:len(ts_log)]\n",
    "history = [x for x in train_arima]\n",
    "predictions = list()\n",
    "originals = list()\n",
    "error_list = list()\n",
    "\n",
    "print('Printing Predicted vs Expected Values...')\n",
    "print('\\n')\n",
    "for t in range(len(test_arima)):\n",
    "    model = ARIMA(history, order=(1, 1, 1))\n",
    "    model_fit = model.fit(disp=0)\n",
    "    \n",
    "    output = model_fit.forecast()\n",
    "    \n",
    "    pred_value = output[0]\n",
    "    \n",
    "        \n",
    "    original_value = test_arima[t]\n",
    "    history.append(original_value)\n",
    "    \n",
    "    pred_value = dragon.exp(pred_value)\n",
    "    \n",
    "    \n",
    "    original_value = dragon.exp(original_value)\n",
    "    \n",
    "    \n",
    "    error = ((abs(pred_value - original_value)) / original_value) * 100\n",
    "    error_list.append(error)\n",
    "    print('predicted = %f,   expected = %f,   error = %f ' % (pred_value, original_value, error), '%')\n",
    "    \n",
    "    predictions.append(float(pred_value))\n",
    "    originals.append(float(original_value))\n",
    "    \n",
    "    #error = mean_squared_error(dragon.exp(yhat), dragon.exp(obs))\n",
    "    #print('mean_squared_error : ', error)\n",
    "print('\\n Means Error in Predicting Test Case Articles : %f ' % (sum(error_list)/float(len(error_list))), '%')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Svx+fQIHPfnQU5xdr4Fcqx2jgV0qlllDqbzP2I6MQA2jgVyoXaeBXSqWWUOpv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yH4feMb1HbUsjp/dfw19nih2CSiMaX6HSE/G9xOhpOK2PPJPXNfUJV8ANbfKy6LphRxRXZFNPGP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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb19c66128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.figure(figsize=(8, 6))\n",
    "test_day = [t+450\n",
    "           for t in range(len(test_arima))]\n",
    "labels={'Orginal','Predicted'}\n",
    "plot.plot(test_day, predictions, color= 'green')\n",
    "plot.plot(test_day, originals, color = 'orange')\n",
    "plot.title('Expected Vs Predicted Views Forecasting _<(0_o)>')\n",
    "plot.xlabel('Days')\n",
    "plot.ylabel('Total Views')\n",
    "plot.legend(labels)\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4P/jBD9hzzz2bWdSmosKvKIqiTAruuOMOOjs7ed/73gdAMpnkG9/4Bj/84Q+57LLLOPnk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\nOAJPe2TMgwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb19c66400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.figure(figsize=(8, 6))\n",
    "test_day = [t+450\n",
    "           for t in range(len(test_arima))]\n",
    "labels={'Orginal','Predicted'}\n",
    "plot.plot(test_day, predictions, color= 'red')\n",
    "plot.plot(days, total_view['en'], color = 'orange')\n",
    "plot.title('Expected Vs Predicted Views Forecasting _<(0_o)>')\n",
    "plot.xlabel('Days')\n",
    "plot.ylabel('Total Views')\n",
    "plot.legend(labels)\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "en\n",
      "                                                    Page         total\n",
      "38573   Main_Page_en.wikipedia.org_all-access_all-agents  1.206618e+10\n",
      "9774       Main_Page_en.wikipedia.org_desktop_all-agents  8.774497e+09\n",
      "74114   Main_Page_en.wikipedia.org_mobile-web_all-agents  3.153985e+09\n",
      "39180  Special:Search_en.wikipedia.org_all-access_all...  1.304079e+09\n",
      "10403  Special:Search_en.wikipedia.org_desktop_all-ag...  1.011848e+09\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "npages = 5\n",
    "top_pages = {}\n",
    "key = 'en'\n",
    "print(key)\n",
    "sum_set = kunfu.DataFrame(language_set[key][['Page']])\n",
    "sum_set['total'] = language_set[key].sum(axis=1)\n",
    "sum_set = sum_set.sort_values('total',ascending=False)\n",
    "print(sum_set.head(5))\n",
    "top_pages[key] = sum_set.index[0]\n",
    "print('\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7fzIqIkmStLuSrO4U0VcFcdtbLWb19I6x1t5jPHeKkCRJmtJaCT1R3SkCmHYD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\nAC/+pYM54Un783dfuYNLv30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      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1b806080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fxxDR9CLK+nNI6/jlkG4j55YUbRrSf2s7gD7JzSV/VFUfBRyiyvcQpALiv4zyRZC+we8n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\nMWHtG7qesKS7d2Szs/NyGSqGO+J2jE14lphL+/vi1fzA/Mj3K9G5mi8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2M3VJJYVbRkok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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1b7b35f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RETmMKdgTEREROYwp2BORSeHZbfto7exJdzZERCYdBXsikvE6unv5m58+xZ2ratKdFRGR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\nJTPLedfxM/nz2j3c/ORWCvNz2LCnlWV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N3vVVdUszbOYDVlWvA/fSm6dk3oNxMvD1JC/S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\n7EmSJHXYvwE+pM6zRGd2mwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1b7fdb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HRN32BjPLMbO1ZnZy1PKZZrbcX3enmZm/PMnMnvKXLzKzsd19PCIiIqAmV4ktPVFD9z1g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\nl8z8648jLan1r7OV28v4xfM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uae/2PRHowPugrGkItdl88/zSPB78YDM//tIBHDlhcOPy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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1b7bffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cKOyJiORIq7InIjGjsCciocRt1moq7f+N2XWJSP+lsCciocQtE7V248bswkSk31LYE5FQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb1b7bf9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_entry(key,idx):\n",
    "    data = language_set[key].iloc[idx,1:]\n",
    "    fig = plot.figure(1,figsize=(10,5))\n",
    "    plot.plot(days,data)\n",
    "    plot.xlabel('day')\n",
    "    plot.ylabel('views')\n",
    "    plot.title(train.iloc[language_set[key].index[idx],0])\n",
    "    \n",
    "    plot.show()\n",
    "    \n",
    "idx = [1, 2, 3, 4, 5]\n",
    "for i in idx:\n",
    "    plot_entry('en',i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7fzIqIkmStLuSrO4U0VcFcdtbLWb19I6x1t5jPHeKkCRJmtJaCT1R3SkCmHYD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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcb19b01f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\"Awaken,_My_Love!\"_en.wikipedia.org_desktop_all-agents\n",
      "2016-12-27    2175\n",
      "2016-12-28    2156\n",
      "2016-12-29    2302\n",
      "2016-12-30    2098\n",
      "2016-12-31    1770\n",
      "Name: 8358, dtype: object\n"
     ]
    }
   ],
   "source": [
    "\n",
    "data = language_set['en'].iloc[1,1:]\n",
    "fig = plot.figure(1,figsize=(10,5))\n",
    "plot.plot(days,data)\n",
    "plot.xlabel('day')\n",
    "plot.ylabel('views')\n",
    "plot.title(train.iloc[language_set['en'].index[1],0])\n",
    "plot.show()\n",
    "\n",
    "print(train.iloc[language_set['en'].index[1],0])\n",
    "print(data.tail())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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
}