superStore.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "969cbe5f",
   "metadata": {},
   "source": [
    "# Loading Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "81fe02c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "options(warn=-1)\n",
    "library(dplyr)\n",
    "library(mltools)\n",
    "library(data.table)\n",
    "library(ggplot2)\n",
    "library(flextable)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a980f7f",
   "metadata": {},
   "source": [
    "# Importing Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94d27ea1",
   "metadata": {},
   "source": [
    "The data set is imported using read.csv() function. By using the str() function we can\n",
    "print the all the variables of the data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "58884b94",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t9994 obs. of  20 variables:\n",
      " $ Order.ID     : chr  \"CA-2016-152156\" \"CA-2016-152156\" \"CA-2016-138688\" \"US-2015-108966\" ...\n",
      " $ Order.Date   : chr  \"11/08/2016\" \"11/08/2016\" \"06/12/2016\" \"10/11/2015\" ...\n",
      " $ Ship.Date    : chr  \"11/11/2016\" \"11/11/2016\" \"6/16/2016\" \"10/18/2015\" ...\n",
      " $ Ship.Mode    : chr  \"Second Class\" \"Second Class\" \"second class\" \"Standard Class\" ...\n",
      " $ Customer.ID  : chr  \"CG-12520\" \"CG-12520\" \"DV-13045\" \"SO-20335\" ...\n",
      " $ Customer.Name: chr  \"Claire Gute\" \"Claire Gute\" \"Darrin Van Huff\" \"Sean O'Donnell\" ...\n",
      " $ Segment      : chr  \"Consumer\" \"Consumer\" \"Corporate\" \"Consumer\" ...\n",
      " $ Country      : chr  \"United States\" \"United States\" \"United States\" \"United States\" ...\n",
      " $ City         : chr  \"Henderson\" \"Henderson\" \"Los Angeles\" \"Fort Lauderdale\" ...\n",
      " $ State        : chr  \"Kentucky\" \"Kentucky\" \"California\" \"Florida\" ...\n",
      " $ Postal.Code  : int  42420 42420 90036 33311 33311 90032 90032 90032 90032 90032 ...\n",
      " $ Region       : chr  \"South\" \"South\" \"West\" \"South\" ...\n",
      " $ Product.ID   : chr  \"FUR-BO-10001798\" \"FUR-CH-10000454\" \"OFF-LA-10000240\" \"FUR-TA-10000577\" ...\n",
      " $ Category     : chr  \"Furniture\" \"Furniture\" \"Office Supplies\" \"Furniture\" ...\n",
      " $ Sub.Category : chr  \"Bookcases\" \"Chairs\" \"Labels\" \"Tables\" ...\n",
      " $ Product.Name : chr  \"Bush Somerset Collection Bookcase\" \"Hon Deluxe Fabric Upholstered Stacking Chairs, Rounded Back\" \"Self-Adhesive Address Labels for Typewriters by Universal\" \"Bretford CR4500 Series Slim Rectangular Table\" ...\n",
      " $ Sales        : num  262 731.9 14.6 957.6 22.4 ...\n",
      " $ Quantity     : int  2 3 2 5 2 7 4 6 3 5 ...\n",
      " $ Discount     : num  0 0 0 0.45 0.2 0 0 0.2 0.2 0 ...\n",
      " $ Profit       : num  41.91 219.58 6.87 -383.03 2.52 ...\n"
     ]
    }
   ],
   "source": [
    "superStore <- read.csv(\"Superstore.csv\")\n",
    "\n",
    "str(superStore)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82a73e5c",
   "metadata": {},
   "source": [
    "# 1 Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9cccd30",
   "metadata": {},
   "source": [
    "The objective of the task is to apply the six information quality aspects to one of the picked\n",
    "datasets to investigate and upgrade its quality. The 6 information quality aspects were\n",
    "applied to the super store data set to assess its quality and, subsequently, proven methods for information quality\n",
    "aspects were utilized at whatever point important to sanitize the information and accomplish a more serious level of \n",
    "value. Fulfillment, Conformity,Consistency, Accuracy, Duplicates, and Integrity are the six information quality\n",
    "aspects that would be suggested in this paper."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bcd4cc2",
   "metadata": {},
   "source": [
    "###  Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "286caf60",
   "metadata": {},
   "source": [
    "This dataset is very self explanatory.It contains data about the product sales of a global superstore.\n",
    "The data set have 9994 observations (rows) with 20 variables\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f749012",
   "metadata": {},
   "source": [
    "### Data Dictionary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36bb2a57",
   "metadata": {},
   "source": [
    "*Order id:Contains the order's ID\n",
    "*Order Date:Contains the order date \n",
    "*Ship Date:Contains the shipping date\n",
    "*Ship mode:Contains the class of the transport\n",
    "*Customer id:Contains the customer id\n",
    "*Customer name:Stores the customer name\n",
    "*Segment:Contains the segment of the product\n",
    "*Country:Contains the country of the order\n",
    "*City:Contains the city of the order\n",
    "*State:Contains the state of the order\n",
    "*Postal Code:Contains the postal code of the order's destination\n",
    "*Region:Contains the region for the order\n",
    "*Product Id:Contains the product ID\n",
    "*Category:Contains the product category\n",
    "*Sub category:Contains the product sub category\n",
    "*Product Name:Contains the product name\n",
    "*Sales:Contains the sales of a product\n",
    "*Quantity:Contains the quantity of a product\n",
    "*Discount:Contains the discount of a product\n",
    "*Profit:Contains the profit of a product"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a98cd910",
   "metadata": {},
   "source": [
    "# 2 Completeness"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "795bb604",
   "metadata": {},
   "source": [
    "### 2.1 Counting missing values"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d00c18a",
   "metadata": {},
   "source": [
    "The blank cells or NAs were found in two factors: postal code and amount.\n",
    "Postal code and amount factors have 9, 3 missing values, separately"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2a94f19a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Order.ID          Order.Date         Ship.Date          Ship.Mode        \n",
       " Length:12          Length:12          Length:12          Length:12         \n",
       " Class :character   Class :character   Class :character   Class :character  \n",
       " Mode  :character   Mode  :character   Mode  :character   Mode  :character  \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       " Customer.ID        Customer.Name        Segment            Country         \n",
       " Length:12          Length:12          Length:12          Length:12         \n",
       " Class :character   Class :character   Class :character   Class :character  \n",
       " Mode  :character   Mode  :character   Mode  :character   Mode  :character  \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       "     City              State            Postal.Code       Region         \n",
       " Length:12          Length:12          Min.   :10024   Length:12         \n",
       " Class :character   Class :character   1st Qu.:35317   Class :character  \n",
       " Mode  :character   Mode  :character   Median :60610   Mode  :character  \n",
       "                                       Mean   :49223                     \n",
       "                                       3rd Qu.:68823                     \n",
       "                                       Max.   :77036                     \n",
       "                                       NA's   :9                         \n",
       "  Product.ID          Category         Sub.Category       Product.Name      \n",
       " Length:12          Length:12          Length:12          Length:12         \n",
       " Class :character   Class :character   Class :character   Class :character  \n",
       " Mode  :character   Mode  :character   Mode  :character   Mode  :character  \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       "                                                                            \n",
       "     Sales            Quantity        Discount          Profit        \n",
       " Min.   :  13.00   Min.   :1.000   Min.   :0.0000   Min.   :-317.153  \n",
       " 1st Qu.:  37.86   1st Qu.:2.000   1st Qu.:0.1500   1st Qu.:  -1.554  \n",
       " Median :  84.77   Median :2.000   Median :0.2000   Median :  10.794  \n",
       " Mean   : 354.85   Mean   :3.333   Mean   :0.2183   Mean   :  -5.582  \n",
       " 3rd Qu.: 348.35   3rd Qu.:5.000   3rd Qu.:0.2300   3rd Qu.:  35.713  \n",
       " Max.   :2396.27   Max.   :7.000   Max.   :0.7000   Max.   :  76.639  \n",
       "                   NA's   :3                                          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_withna <- superStore %>% filter_all(any_vars(is.na(.)))\n",
    "summary(df_withna)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b92a9ff6",
   "metadata": {},
   "source": [
    "### 2.2 Replacing missing values "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f63c0422",
   "metadata": {},
   "source": [
    "For variable postal code and amount factors the missing values are replaced  with zero\n",
    "to demonstrate no postal code and no amount for those particular variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a53e1406",
   "metadata": {},
   "outputs": [],
   "source": [
    "superStore$Postal.Code[is.na(superStore$Postal.Code)] <- 0\n",
    "superStore$Quantity[is.na(superStore$Quantity)] <- 0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45c5714f",
   "metadata": {},
   "source": [
    "### 2.3 Correcting variable labels"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc4e6ef3",
   "metadata": {},
   "source": [
    "There was one more issue in  ship mode, segment and region labels. For the ship mode section and  \n",
    "segment column had a portion of the labels utilized were lower case and others capitalized .\n",
    "The region segment had labels utilized for the west classification were W, the south classification \n",
    "were S, the central class C and the east classification were E. Along these columns, there is need\n",
    "to replace this with the right ones."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "866bee5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "a flextable object.\n",
       "col_keys: `Order.ID`, `Order.Date`, `Ship.Date`, `Ship.Mode`, `Customer.ID`, `Customer.Name`, `Segment`, `Country`, `City`, `State`, `Postal.Code`, `Region`, `Product.ID`, `Category`, `Sub.Category`, `Product.Name`, `Sales`, `Quantity`, `Discount`, `Profit` \n",
       "header has 1 row(s) \n",
       "body has 11 row(s) \n",
       "original dataset sample: \n",
       "        Order.ID Order.Date  Ship.Date      Ship.Mode Customer.ID\n",
       "1 CA-2014-115812 06/09/2014  6/14/2014 Standard Class    BH-11710\n",
       "2 CA-2016-137330 12/09/2016 12/13/2016 Standard Class    KB-16585\n",
       "3 CA-2016-118255 03/11/2016  3/13/2016    First Class    ON-18715\n",
       "4 CA-2016-111682  6/17/2016  6/18/2016    First Class    TB-21055\n",
       "5 US-2015-134026  4/26/2015 05/02/2015 Standard Class    JE-15745\n",
       "    Customer.Name   Segment       Country        City      State Postal.Code\n",
       "1 Brosina Hoffman  Consumer United States Los Angeles California       90032\n",
       "2       Ken Black corporate United States     Fremont   Nebraska       68025\n",
       "3   Odella Nelson Corporate United States       Eagan  Minnesota       55122\n",
       "4 Ted Butterfield  Consumer United States        Troy         NY       12180\n",
       "5      Joel Eaton  Consumer United States     Memphis  Tennessee       38109\n",
       "  Region      Product.ID        Category Sub.Category\n",
       "1      W FUR-FU-10001487       Furniture  Furnishings\n",
       "2      C OFF-AR-10000246 Office Supplies          Art\n",
       "3      C OFF-BI-10003291 Office Supplies      Binders\n",
       "4      E OFF-PA-10000587 Office Supplies        Paper\n",
       "5      S OFF-ST-10004123 Office Supplies      Storage\n",
       "                                                      Product.Name  Sales\n",
       "1 Eldon Expressions Wood and Plastic Desk Accessories, Cherry Wood 48.860\n",
       "2                                                       Newell 318 19.460\n",
       "3      Wilson Jones Leather-Like Binders with DublLock Round Rings 17.460\n",
       "4                           Array Parchment Paper, Assorted Colors 14.560\n",
       "5                            Safco Industrial Wire Shelving System 72.784\n",
       "  Quantity Discount   Profit\n",
       "1        7      0.0  14.1694\n",
       "2        7      0.0   5.0596\n",
       "3        2      0.0   8.2062\n",
       "4        2      0.0   6.9888\n",
       "5        1      0.2 -18.1960"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flextable(filter(superStore, Region == \"C\" | Region == \"E\" | Region == \"S\" | Region == \"W\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1a2df890",
   "metadata": {},
   "outputs": [],
   "source": [
    "superStore$Ship.Mode[superStore$Ship.Mode == \"first class\"] <- \"First Class\"\n",
    "superStore$S[superStore$Ship.Mode == \"second class\"] <-  \"Second Class\"\n",
    "superStore$Ship.Mode[superStore$Ship.Mode == \"standard class\"] <- \"Standard Class\"\n",
    "superStore$Ship.Mode[superStore$Ship.Mode == \"Standard class\"] <- \"Standard Class\"\n",
    "superStore$Ship.Mode[superStore$Ship.Mode == \"standard Class\"] <- \"Standard Class\"\n",
    "\n",
    "superStore$Segment[superStore$Segment == \"consumer\"] <- \"Consumer\"\n",
    "superStore$Segment[superStore$Segment == \"corporate\"] <- \"Corporate\"\n",
    "superStore$Segment[superStore$Segment == \"home office\"] <- \"Home Office\"\n",
    "\n",
    "superStore$Region[superStore$Region == \"C\"] <- \"Central\"\n",
    "superStore$Region[superStore$Region == \"E\"] <- \"East\"\n",
    "superStore$Region[superStore$Region == \"S\"] <- \"South\"\n",
    "superStore$Region[superStore$Region == \"W\"] <- \"West\"\n",
    "\n",
    "superStore$State[superStore$State == \"FL\"] <- \"Florida\"\n",
    "superStore$State[superStore$State == \"CL\"] <- \"Colorado\"\n",
    "\n",
    "superStore$Country[superStore$Country == \"US\"] <- \"United States\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc0d3825",
   "metadata": {},
   "source": [
    "### 2.4 Setting Decimal Places"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddb9931c",
   "metadata": {},
   "source": [
    "The sales columnn and the quantity column have two decimal places but in real sense the \n",
    "sales and quantity columns have to be whole numbers to incidate an exact amount."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4e39412c",
   "metadata": {},
   "outputs": [
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       "\\begin{enumerate*}\n",
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      ],
      "text/markdown": [
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       "   [1]   262   732    15   958    22    49     7   907    19   115  1706   911\n",
       "  [13]    16   408    69     3   666    56     9   213    23    19    60    71\n",
       "  [25]  1045    12    91  3083    10   124     3    86     7    16    29  1098\n",
       "  [37]   191   113   532   212   371   147    78    96    46    17   212    45\n",
       "  [49]    22    38    75     6    90    15  1030   209    32   319    15    30\n",
       "  [61]    48     2    14    26   147    80   213  1113   168    76     5    19\n",
       "  [73]   832    97    73     1    10    27    19   208    17    15    21   201\n",
       "  [85]   230   302    20     6   158    20    74     6    13    53    33     6\n",
       "  [97]    97    51    78    65    96     2    24   239   102    37    74    28\n",
       " [109]     3   340    42    76    27    40     5    24   130   788   158    47\n",
       " [121]    31   227   115    68   601   618     2   244    81   239    60    78\n",
       " [133]    21    20    35    12     4    76    66    43    83     9    11   144\n",
       " [145]   839   672    94   384   150  1952   172   158   203    58   106    81\n",
       " [157]     7   458    15   945     6    54    28    28    10  8160   276  1740\n",
       " [169]    32   178   144    21   111   340    52    20    97   397    16     3\n",
       " [181]    25   409   504   150    29     7   177    37    20   899    72    52\n",
       " [193]   626    20    14     7     6    46     3    16    22   219     3    66\n",
       " [205]    35   445    84   132    16    52    92    21    24   452    63  1188\n",
       " [217]    90    93   302     6    23    20    73   480    27     2   622    22\n",
       " [229]   162   390    19   234   621     5   258   618    11    26   420    12\n",
       " [241]    32   177     4     7  2002   167    48  1503    26   322     8  3347\n",
       " [253]    81   362    12    82    54   648    20   222    18     2  3060  2520\n",
       " [265]   328    80    14     8    37    58   726   210     5    11     9     6\n",
       " [277]    12    18    60    25     2  1114  1039   142   240    31   254   195\n",
       " [289]   961    19    18   256    87   300   230   218    79    28    32  1082\n",
       " [301]    57    78    14   219    27    10    45   289     5    15   467    15\n",
       " [313]     6    88   178    16    99   136  3992   276   360    44     7   252\n",
       " [325]   100    16   291    54   787   100    38    83    21     5     5   960\n",
       " [337]    14     8   698     5    18   510    31    72    89    48     8    25\n",
       " [349]    13     7    25     3    49  4355   389     8    17    34    36   648\n",
       " [361]    21    21   489     6    47   212    23     7   105  1044    26    53\n",
       " [373]     8  1024     9   479    99  1488     9    24    12    51    50    42\n",
       " [385]   375    84   482     3     3    23    40   246  1800    12    76    50\n",
       " [397]    13    70    36  2396   131    58    10    39    36   180  1200    27\n",
       " [409]  1004    10    28    56  1337   114   140   307    96   384     6     9\n",
       " [421]    15   197    57    33   866    28   288    70     7   190   409   292\n",
       " [433]     5   714     5   248  1008   313    32   208    12   195    71    91\n",
       " [445]   243    22     3    60   162   264    30    10    35   284   665    64\n",
       " [457]   130   748     9   104   900    51    24  1273    28   185    78   255\n",
       " [469]   205     5    55   341   223   704    93    63    95    96    40    15\n",
       " [481]   704     9     6   160    30   514   280  2736     8    64    70   449\n",
       " [493]    11    94   190   105   120   256   242    69    23    15   802     2\n",
       " [505]    33    16     3     8    47  6355   126    38     7     7     6  3000\n",
       " [517]    51    12  1126    18   130    14   211    55    66    22   684    46\n",
       " [529]    36   666    53   191    48   980    23    17    43    11   153   284\n",
       " [541]   469   381   647    58   101    66    41    13   250    11     9  1122\n",
       " [553]    35    11  1296    19    21  1336    32    43    84    13    13     4\n",
       " [565]     3   374    92    81    19   451    72    14    33    15     9   161\n",
       " [577]    20     7    70     9    52   470   106    31     7   406    71   295\n",
       " [589]    85    21    17    10     9    31    76  1200   446   328    12   144\n",
       " [601]   494     6   143    46     7    43   132     3    21    55   370    16\n",
       " [613]     8   729   120     4    40    10   107    38    88     9   302   555\n",
       " [625]   523   162    36    97    15    13   243   120   301    18   236   393\n",
       " [637]    19   122  1049    15    19   330    26   133     6   209    32    30\n",
       " [649]    15   302   316   379    98   103   114     3   134   701     2   999\n",
       " [661]   724   919     3   460    11    24    85   382    30    24   109    36\n",
       " [673]    20    61    39    99     3    28    83   183    14    65    69  8000\n",
       " [685]   167   480    15    19   192   104   285    37   166    33   198    47\n",
       " [697]   201    98     3    19     5    15   210   370    10   167    15   120\n",
       " [709]   884    47    55    24   281   308   300    20    10   103    60    73\n",
       " [721]   147  1653   296   130    46    18    56   183   400    34   543     6\n",
       " [733]   243   180   100    28    85    19    50    12   273     4    52     4\n",
       " [745]     5    55   567   359    12    58   158    57     3  1200    80   383\n",
       " [757]    25   120    13    23    58    12   108    11    51   647     6   573\n",
       " [769]   311   642    18   207    32     8    40    35    33   544    60    24\n",
       " [781]     4    32    24    35    48   187    17   349   144    15    43   333\n",
       " [793]  1364    10    22    20   133    13    22   284    22   216   355    13\n",
       " [805]    18    43  1984    28   150    12  1299   214    26    18  1400    52\n",
       " [817]     5    41     3  1228    31   336   240    10    68   168    35    37\n",
       " [829]    15   302   181   192    66    35    24   265    51    10    21    60\n",
       " [841]    12   186    37    27    11    15    84   288    49   115     5    39\n",
       " [853]   186    44   243    40   102    21     8     7     7    23   191     5\n",
       " [865]    59     3    52    16    45  1141   281    34    11   106   192   323\n",
       " [877]    30   372     6    68  1243    31    13    31    17    14    84    38\n",
       " [889]    35   150    51     5    16   544   156    70    16   104    47     9\n",
       " [901]    10    18   324    20    65    13   323    91    53  1200  1929   352\n",
       " [913]    22    47   144   100   798     9   149    13    25    85    22   407\n",
       " [925]   842    16   252    46    29    15    90    14    12    45    30    16\n",
       " [937]   448   160    13   134    17     6  1114    32   541   168   393   516\n",
       " [949]  1007  2065    16    25    25    27    79   174    30     5    16   205\n",
       " [961]   322     6    22     5    10    36    13   192     9   502   127   124\n",
       " [973]    19    30   161    76     1  3060     3    34   599     3   560   604\n",
       " [985]     8    28   337     1   520    18  1167    15    10   155  2716   618\n",
       " [997]    11    37    24    33    44  2310  1091    19   485   115     7     4\n",
       "[1009]    45    96   152   155    14  1618   100    32    14   156   125   602\n",
       "[1021]    23  1268  1380     6    12    16    63    16   177   198   855   124\n",
       "[1033]    14    16     3    14    87    37    24    29   697    32   722     9\n",
       "[1045]    58   255  1364   102  1114   100   168     7   283    11   108    82\n",
       "[1057]     9    20    66     4   108    45    10     8   119     1    55   195\n",
       "[1069]     2    25    19    29     9     6     4    32    41   120    31     7\n",
       "[1081]    20  1107   837    26   363  4900     6    72     3    32    72   120\n",
       "[1093]   219    29   356   348    36   448     7     9    29     9     3     3\n",
       "[1105]    23   101     2    11    58    41    72    10     1    47   120   120\n",
       "[1117]     6   280   620     4    15   700    23    39     7    23  1068    10\n",
       "[1129]   102   344    41    64    19   125     8    85   288    38    20    21\n",
       "[1141]    17   205     9     6   686    62   644     6    13    11   600     8\n",
       "[1153]     4   160   122  2244    62   455   195   363    12    54    10   126\n",
       "[1165]    25    47   448   109   273    19    32    22    17     5    50    28\n",
       "[1177]    12   172   180   259  1323     4    22     8    12   486    26   198\n",
       "[1189]    82   890   892   224    23    16    16    25    56   432    96  1089\n",
       "[1201]   544     2   854   594   338   272    11     9    14    42     9   579\n",
       "[1213]   141     3     5     5    96    17   259  1932   250   256   114    78\n",
       "[1225]     2    41   183   194    15     9     6     3    80   840    48    37\n",
       "[1237]    64   165    12    41    23    22   398     9    49   765  3611   255\n",
       "[1249]    39  1142  1705     3  1100     5    36     7    44    28   540   256\n",
       "[1261]   864    18    17    70    42     7   143   292    29    12   102    49\n",
       "[1273]    45    10   388    14    64    86    33    84   278    15    17   252\n",
       "[1285]     3    15    15    40    12    21    13    32    33   114     3   846\n",
       "[1297]    14    21   115    27   573   286    62    24   288   420    47    18\n",
       "[1309]    22   162   162     4   122   155    39   184   579    14   576     5\n",
       "[1321]     5   286    73    11    46    17    51    11    88    37     3    27\n",
       "[1333]     1     8   141   553    25    30   678    75   696    16    29    48\n",
       "[1345]    13    94    47    20    53    36   258    31   184    18   301   221\n",
       "[1357]   281    79     2   146   123    24   310    38    96   240   202   899\n",
       "[1369]   146   590    14    49    30    17   913  1090   448    16   400   159\n",
       "[1381]    13    84    81   349     9    19   240   168   105   485   123   154\n",
       "[1393]   342    10   652    67    17    12    88     6    22   252   205   419\n",
       "[1405]    10   155   117    75    40   393    24   408   165   335   240    38\n",
       "[1417]   946   151     5    86    73    61    77   120   264   364    10    15\n",
       "[1429]    30   427   221   153     7  1820    34    31     5   264  2453    30\n",
       "[1441]    40    37    14   139  1980   165   470    48     3    89     2    71\n",
       "[1453]    92    34  3040    91   453    52    16    27    55   244   160  1025\n",
       "[1465]     4   121    96   256   873    42    13     7     9     7    17    18\n",
       "[1477]    29    52    32    26    40    34    10     3   177     4  1213    90\n",
       "[1489]    43     5    63     6   977    10    40    10    17    13    18    16\n",
       "[1501]   223   540    34    10     7  1005    18   396    34     8   386    36\n",
       "[1513]   200    21     7    64  1670    84    13    21    17   206    20   198\n",
       "[1525]   247    86     4    12    26     7    74    11     8   213   204    41\n",
       "[1537]    12    40    16   783   242     8    10    83    34  1573   336    24\n",
       "[1549]    27   560     9   112    22   125     5    92     9    79   172    35\n",
       "[1561]    19     3  1045    11   355   454    21     9   123    13   604    22\n",
       "[1573]    30   381    41   763    24     5   171   308   383    42  1218    47\n",
       "[1585]     6   980   144    11   248    11    33     8   202    13   359    48\n",
       "[1597]   547    17     7    99    16   212     7   156    40     5    73     6\n",
       "[1609]    23     9   291   202    84  1000    84     4    41    30    59     7\n",
       "[1621]   198   786    23    50   676  1266   523   518    18    41  1006    11\n",
       "[1633]    10    25    58    16   669   438    19    10    13    41    13  1248\n",
       "[1645]  3150   210    35     3   121    46   110    13   170   133     3     8\n",
       "[1657]    96    35   161    89    14   678    14    42   298     4    95    74\n",
       "[1669]    14  1018    17    59   168   197    22     7   104    18    65    32\n",
       "[1681]    42   400    19    15    99     1     8    10   311   853    33    10\n",
       "[1693]    22    14    64    14   105   107    22   516    12  1931    10    12\n",
       "[1705]    10    12    44   148     7    72    20  1702    14   766   308     8\n",
       "[1717]   243   455    36    40    48   160   256   359   434     4    89  1048\n",
       "[1729]   100     8    96    11   338   154    35    22     4    31    18   129\n",
       "[1741]    21    21     7    11   442    13    11    10    10     6   207     9\n",
       "[1753]   560   110     9   361  1718    42    47    20   411    29   293    35\n",
       "[1765]     4   110    10     8    51     7    12    98    62    21   498     5\n",
       "[1777]     3   369    15    60    83     7   123   220    98    33    87   135\n",
       "[1789]   700   140    49  2808    47    60   108    64   348    37   216    11\n",
       "[1801]    54     4     6  4664    80  2576    45   254    70    16    55  1441\n",
       "[1813]    78     5   170     7     9    10    76    29    92     7    63     5\n",
       "[1825]    31    12    23  1128    39   780  1440   262   207  1440    36    21\n",
       "[1837]  1246    18    44    63    78   141    40    41    91    40    38   362\n",
       "[1849]     7    35   831    26   107    98   141    15   128    34   138   100\n",
       "[1861]   258   120    50   727    25   371   196    31    78     6    99   802\n",
       "[1873]   273    71    16   177   470   394   302    69    29   384   563   217\n",
       "[1885]     6    32     7   398   122   410    11     3     8    25    35   488\n",
       "[1897]  1794    30   505   174   192    15     5   478    28   909     3    27\n",
       "[1909]   137    19    99   274   597   150     5    16    12    12   300   896\n",
       "[1921]   463    15   864    48    93   200   177    89     6    47   660   272\n",
       "[1933]   146    15   245   166    15    20    33     9   663    47    27     3\n",
       "[1945]    96    10    23    12   255    13    26   198    19  1282     5   238\n",
       "[1957]   168    17    16    34   297   113    14    25   286    24   282    70\n",
       "[1969]   166   292     6   409     5     3    35   276  1395   546     5   934\n",
       "[1981]    43     4   480   321    24    27  1440    17  1024    26    17     5\n",
       "[1993]    71     5    11   295     9    15   162   145   200    42    96   304\n",
       "[2005]    11    30    48   183     4   333    25   160    46   351    13   900\n",
       "[2017]    18    15    33    40  1606    17    50   872   239   142    33    67\n",
       "[2029]    15   105    61    11     9     9     8   270    29    15    12     5\n",
       "[2041]     9    75    58    39    16   163   597    55   290     3     6   341\n",
       "[2053]    11    25    17   200  1587    85   412    11    80    16    65    19\n",
       "[2065]   406   146   252    12   200   711     2   284     7    60   762    58\n",
       "[2077]    40    91    95   106   112     8    37    24   122    18   325   147\n",
       "[2089]     4     6    27   310   480    13    13   512    92     8    38   280\n",
       "[2101]   636    83   259   222    26    16     1    20   398     5    17   323\n",
       "[2113]    30  1296    47   426   210   160     5   896     3   216   242    28\n",
       "[2125]   105    63    86    65    21    33    39   140    20   153    11    95\n",
       "[2137]    15     4   147   150    17   992    30    24    17   422    38   254\n",
       "[2149]    43    85   233   112    15    14    23    21   502   162    18     9\n",
       "[2161]    79    35   315   192     8   140    16     6    14    72   108   305\n",
       "[2173]    20     9    62    46    60    42    72    85    44   443  4000   200\n",
       "[2185]    64    55    29    70   121  1454    61   154    65   124    35    45\n",
       "[2197]     5    15    16     5    22   882     6   192    20    68    30    38\n",
       "[2209]    17   833    44   167    27     1    62   242   109     3    10    15\n",
       "[2221]  1146   486    37    71    55    72     3   125   331   674    53   526\n",
       "[2233]   229   320   205   191    24    44    44  1017    38   495    57     6\n",
       "[2245]     9     9   660    13    42    12   541    19   144    43    44   438\n",
       "[2257]   109  1213    19     5   372   166   360   500     5     8     8    13\n",
       "[2269]     6     7    48   200   435  1120   143   122   306    86   224    98\n",
       "[2281]   614   200    48    24    61    14    35    17    16   893   288   595\n",
       "[2293]    13     5   182    14   260    43  1400   504    13    12   316   724\n",
       "[2305]   106   141    27   391   281    68    88    16   216    15   416    43\n",
       "[2317]   183    61   390   194   266    95    61    76   365    80    46    13\n",
       "[2329]    14   547    42    42   277     6    69    11   427    26    46    11\n",
       "[2341]    42    63   114   124   490    70     1   558     9    69    11    79\n",
       "[2353]    10  1553   137    37   240  1580  1072   614    35   155    14   128\n",
       "[2365]   160    46   121    23   533     5   252    60     3    24   253     6\n",
       "[2377]    77     9    33     7    50    55   176    16   186   211   480     8\n",
       "[2389]    24     6    42  1620   114    40    38    60    37     6    17   629\n",
       "[2401]    56    94    28   957  1116   129    80    24   360   212     6     8\n",
       "[2413]    12   629   754   302   595    80  2396    64   100   230    10   159\n",
       "[2425]    13   273    39     1     8    13    58     7   367    54    34   826\n",
       "[2437]   546   146    36     8   345   174   663    95    27   258    17   493\n",
       "[2449]   269    29    19   120     9    57    72   107     7    59    47    98\n",
       "[2461]    30    98    84    15   137     3     9   571    32    17    14   451\n",
       "[2473]    65   218    83    88  1101  1322     5    11   154  1004    35  1138\n",
       "[2485]   100     6    86    10    20   632    24    90  4549   301   720   648\n",
       "[2497]    64   124    10    38    12     2     9     7    54  8188    78    33\n",
       "[2509]   197   480  1118   106    46    96    48   264   605   130    20    29\n",
       "[2521]   869    13     6   122    42    25     7    10     8    10   114    18\n",
       "[2533]    13   340  1802    46   182   432   155  1349   700   112   144   174\n",
       "[2545]    15   206   103     2  1880   313     5   822    22    26   706    50\n",
       "[2557]    52     7  1407    16   323     9    10    15    34    71    25  2666\n",
       "[2569]   478   164    13     3  1400   526    16   320    11   675    63   490\n",
       "[2581]    19    17   155    12   188     7   249    22     6   246    14   601\n",
       "[2593]    79   328   181   915   588   530    15   122   123    15  1350   137\n",
       "[2605]    61     1    17    25     3  1219     6    16     6    42   230    18\n",
       "[2617]     6   122     4    67    37    18    26 11200  2400    64    53    61\n",
       "[2629]   653    11    15    40    43   221     5     7   323    19    13    64\n",
       "[2641]   858    30   186    37    19    58    43    13   822   105   425    11\n",
       "[2653]    12   165  1293    26   262    14    11   884  1980    80     9     4\n",
       "[2665]   371     3    80    28    41   106   166   786    26  1326   166     9\n",
       "[2677]    44    11    25    14   620    90   351   165   313    96     3     4\n",
       "[2689]    16     5     5    15   109   110    15    30   821 22638    21     8\n",
       "[2701]    31    19   122   116   133    17    19   192   227  1920    13    46\n",
       "[2713]    60   302    14   130    72   378   124    24     8    58    81    14\n",
       "[2725]    96   360   350     2   630     7   800   108    74     6    49   378\n",
       "[2737]    42   300    90   477    26    47    35   258   126    80   700    27\n",
       "[2749]     8   586   423   225     6   323   784  1448    12   240    77   481\n",
       "[2761]    48     1   102    10    31     9    34  1924    32    50    48    54\n",
       "[2773]    19    49    10   154    61   195    24     2    59    22   258    24\n",
       "[2785]    24   602     8    58    16    40    26    36     6  1075   438    18\n",
       "[2797]   308    13    40   146   784     8    41    13    26    48     9    13\n",
       "[2809]   705   562   180   186   214  1000   654   115    61   124  1089     7\n",
       "[2821]   299   302     9    48    34   301     3     3   108    56    78   444\n",
       "[2833]   156    15     7    11    19   122   696   120  1140   230   144    36\n",
       "[2845]   845    51   763    56  2691     7    65    28    15    20    40    20\n",
       "[2857]  1603   225    68   378  1629   287    21    31    84    60    32    15\n",
       "[2869]    39    17    74   314     4   811     6   154  1013    52     5   255\n",
       "[2881]    25    28     9     7    17   308     7    13    32    24    52    18\n",
       "[2893]    12    26    69    36    50   960   408   480    13   185    23    37\n",
       "[2905]   540   310     9    52    15    11   387    41    35    40   136    13\n",
       "[2917]   264     6    16    14    70   129     4     6    20    71    19     9\n",
       "[2929]  1633    20     7     7   145   157   432    36    47   248   190    60\n",
       "[2941]    91  1527   369   305    19    38    26    65    44    42    23   114\n",
       "[2953]   114     8   672    40   192     2    20    46    20    39    82    97\n",
       "[2965]    24    19    33    30   500    31    13    28   259    11   244    16\n",
       "[2977]   189    23   546    21    43   123    11    53   275    25    19  1268\n",
       "[2989]    13    19   449    31    61   896    55    56    25     4    96   207\n",
       "[3001]    44     9    19    33   207    92   905    34   192   244    12  2550\n",
       "[3013]    22     9    21   344   727    23   666     5    93    67    92   328\n",
       "[3025]    52    18   254     8   505   403   194    26   195    21    54    36\n",
       "[3037]    56    32    29   171    17    13    22  2054  1023    14    26    43\n",
       "[3049]   412   360    42   228    38   518     5  2800     9    32    31    24\n",
       "[3061]   120    27    84   105    91   141   215    45   288   664  2934   124\n",
       "[3073]    58   114   121   343    17   981    32    13    43    58   540     4\n",
       "[3085]   253   128     4    13    61   672   448   480   166    32    10    12\n",
       "[3097]     6    33   220    11   242   695   221    13    26    16   298    22\n",
       "[3109]   243     8    52   265   838   136    35   533    43    16  1124   250\n",
       "[3121]    49    61    79     4  1037   564   259    49    44   242   395   627\n",
       "[3133]    13    13    31    78    68    12    45    23   206   210   120    11\n",
       "[3145]   348   963    89    32    32    31  2025  1800   102   263   736    93\n",
       "[3157]   284    26    68   120     5    16    78    60    39   240    19    67\n",
       "[3169]   390    62    24     3   528    13   182   181    48    19    21    59\n",
       "[3181]   255    10   827  1633   544    26    74    70     4    21    13    66\n",
       "[3193]     6     4    31    23    30     3    96    19   149    16   602    11\n",
       "[3205]    40    62    53    40   350   378    13    11   207     2    35    75\n",
       "[3217]   150   931   431    95    51    90     9     5   318    13    15   230\n",
       "[3229]     7   375   115    26     3    33     4   182    45    46   318   123\n",
       "[3241]     7    56    13   220   317    49   325    18   114   106    25    60\n",
       "[3253]     7    27   108    19     5    80     3     3    21   100   734   241\n",
       "[3265]    10   282   201   136    45     3     7     8   204  3360    18    28\n",
       "[3277]    23    29    13    23  4164    48     5    15    64     7    13   494\n",
       "[3289]    29   249    36    12    12     3    31  1705    19   122  1920    51\n",
       "[3301]    77   540    60     2    13   218   329     2    48    25   232    86\n",
       "[3313]   604    82   272    14   342   181     9    44   663    26    69   129\n",
       "[3325]   897     1    68    22   262   148   241   228    53     2    17   432\n",
       "[3337]   130   569   117   204    52   123   245    60    82    12    29    51\n",
       "[3349]    16    16    90   436    84   360    71    21     4    73     3    26\n",
       "[3361]    30    35    19    38    10   291    10    14   142    66  1287    26\n",
       "[3373]   161    28   364    40   362   112    14    10    24     3    18   384\n",
       "[3385]  1800   581    19   222    50   155     7  1091   219     7    40   444\n",
       "[3397]   170    26    37   629   194     5    22    65    78   281   281     7\n",
       "[3409]    22    10    66   272    12    78    49     2     8    44     6   272\n",
       "[3421]   262   183   132    23   558    15  1408    33   215    31    30   129\n",
       "[3433]    60    25    15    15    24    16   251    54     4   109    17  2505\n",
       "[3445]    85    30    71     4    27    57    15     4   472    59     5    16\n",
       "[3457]    72    23     3   538    48   493   287     5    48    62   362   279\n",
       "[3469]   133    48    17    11    19   181   100    35   152    93     9    45\n",
       "[3481]  1422     9   580    29  1203     8    36   147   408   382    69   436\n",
       "[3493]    11    72   656   604   513   488    15   210    63    26    10    96\n",
       "[3505]   900   202     3   193    16    12   419   509   825    18     7    66\n",
       "[3517]    31    45   570   796    13    40   405   116   658   600    39    46\n",
       "[3529]    38    87    21    55   288    13    11    12    41    83     9    21\n",
       "[3541]    45     5    99     3    29    29   106    35    34    30    46   844\n",
       "[3553]   813     7   330   605    45    10    22   440     8    26     4    12\n",
       "[3565]    13     4  1578    15    60  2395  1688     8     5    12   105    14\n",
       "[3577]     5     5     8    66  2430   105     4   802   192     3     6  1170\n",
       "[3589]  1666     3  1444     3   465    22    38     3    16    65    17   136\n",
       "[3601]   432    12   658   277    25    92    29   139     7    27   178    58\n",
       "[3613]    16    37   718    32    10   488     6   218    41    64   142     7\n",
       "[3625]   681     4     6    36  2061    52   213    70   763     9    42    90\n",
       "[3637]    22   335   148     5   179    70   488    47     4   155     6    16\n",
       "[3649]     3    55   105    35    34    15   639   114     9     9    31     6\n",
       "[3661]    34   378   259    25    28     6    53    14   104    12    10    39\n",
       "[3673]     9   121   127    48    44    16   465   182    12    84    79   153\n",
       "[3685]    44    98    10     3    25    44    60   440    88    15   233    67\n",
       "[3697]    43   142    79   164    38    15    25    19   900    32    24     6\n",
       "[3709]    34     6   510   205    12   163    46   604    24     5   250    33\n",
       "[3721]    19    15    36   552     7    19   360    11    15    42   637   500\n",
       "[3733]  1260    65    26    72   130    33    11    60    62    17    60    50\n",
       "[3745]    12   118   369   198   322   880    28   230   116   842   355    43\n",
       "[3757]   563   111    12    17    24    88   242     9     2    99     1   120\n",
       "[3769]  1014     2  2004    82    63     7   384    10   336   666    72    38\n",
       "[3781]   274   270     9   720    41     3  1085     4    62    29   181     4\n",
       "[3793]    16    30    57   333    36   252   524  1360   103    23    93    13\n",
       "[3805]    35    39    12     5     5   524   101   146    25    20   824    16\n",
       "[3817]   802    60  1057    13   314    19    18   991   880    13   107  1459\n",
       "[3829]    27   477    87    76    20  1050   611     2    19   912   674   134\n",
       "[3841]   171   170     7     6   481   617   141   502   692    35    86    85\n",
       "[3853]    34     5    26     4   824    10   448   481   125    40    11    11\n",
       "[3865]   152   238   155   148   241   192    12    12   842    23    86   109\n",
       "[3877]    10    38    50    52    10    82   365    40     4    12   135     9\n",
       "[3889]   240   357   660  1685   560   280    10    49     4    16     2   128\n",
       "[3901]    10    48   270    98   564    10   547    15    42     8   352   470\n",
       "[3913]    19    10   802   162    16     8   312    62    64   360    25    27\n",
       "[3925]    30    58    35   137   241     5   146     5    48     9    74   202\n",
       "[3937]    29    27   197  1425    15     3    26   835    17    44     3     6\n",
       "[3949]    49    20   255    17   160    13     5    79    22    11     4    45\n",
       "[3961]    38   150    13    45     8     8    88    41     6    42    54    79\n",
       "[3973]    13    30   414    41    40     9    85    53    57    23   288  2800\n",
       "[3985]    49   257  2592    42    79    53   286    64    41   173   513   861\n",
       "[3997]   770    15   373   232    63   345   638   288    37     2    26   102\n",
       "[4009]     7   474     8    39    17   543     9   194    21    98   252    26\n",
       "[4021]   170    83   854   557    96    30     9   154    13   480   233   237\n",
       "[4033]    30   100    19   384    25    25    21   768    14   192   275    71\n",
       "[4045]   205     9    24    81   600   277   173     4   409    55    21  1802\n",
       "[4057]    67   646    73   572    68    25    40    20     3     8    10    48\n",
       "[4069]   979    13    10   156  1000   822   220   339     7     5   116    48\n",
       "[4081]    60     5   183    10     8   302    21    12   639    21    11    14\n",
       "[4093]   221  3080    80   588    32   405  9450    13     2     0   146    16\n",
       "[4105]   160    14     4    14    27    74   161    17     3     9   158  1220\n",
       "[4117]     3    19   455    91    19    37    38    26    36    91    55    67\n",
       "[4129]  2625    73    14    12    16    45   210   112  1575    25     7    37\n",
       "[4141]    79    19    57    13     9   121   323    10    14    55   259    29\n",
       "[4153]    16     5    38     3    48    26    16    13   540    23    17   672\n",
       "[4165]   169   169    19    32   434    31    55    49    14    13    58    56\n",
       "[4177]   630   123    46    15     4   320    17   345    82    98     7     2\n",
       "[4189]     9    10 10500    21   696   305    52    25    22   395    18     7\n",
       "[4201]   800    41   185    49    10    15    34    18  1605   386    16     9\n",
       "[4213]     7    25   128    62     9   483  4800    38    18   386   103   174\n",
       "[4225]     2    94    46    62    22   332    11    16    31     6    11    21\n",
       "[4237]    11     9    20   210    44    20   150    28    66     2  1049    21\n",
       "[4249]    88   752   887    56    11    12    63    97    10    10   197    48\n",
       "[4261]    13    64    80    12   863     4   957    13   172   871   692   208\n",
       "[4273]    72    26     4    49   323  9100    10    25    11    69     4  1104\n",
       "[4285]   246    12   440    65    33    14    11   896   189    54   177   129\n",
       "[4297]    54  4368    50   161     3     9     4    60    64   384     8    34\n",
       "[4309]   666   574    22    19   448    17    21    89   304   168    82    24\n",
       "[4321]    33    15   324     2    14    72     9    18    43    16    18    20\n",
       "[4333]    23    51    27     8    14   108   114     5    16   544    20   658\n",
       "[4345]   100   200   632    61    21   416    17    27    96    13    19  1598\n",
       "[4357]    37    10    78   520   112    29   132    26   705     7    22    11\n",
       "[4369]    21   105    40    52    12   160   104   303   271  1487    17    72\n",
       "[4381]    60   253     3   385   154   913    44    25    47   184  1260    69\n",
       "[4393]    70    60    26    27   361   172    69   200   902   972    11    21\n",
       "[4405]    35    39     9   315     5     6   108    20   618    60   388   576\n",
       "[4417]    30   478   191     5    41    16    17   303    35   114    56    27\n",
       "[4429]  1806    71    20     8    24     9   843     2    27    26    10    24\n",
       "[4441]   110   966    29    32    78    32    29   169    13     6   187    25\n",
       "[4453]    44  1279    28   130     6   245  1332    33   147    54    77    14\n",
       "[4465]   210     3    16   168   322    13   128    64   240   344    16    21\n",
       "[4477]     8   333   249    25    15    43    44   116     9    19   315    16\n",
       "[4489]    69     4   418   660     8    36   910   918    39   631    13    13\n",
       "[4501]    23    26    21   174   362    63   818    20    24   171    37    82\n",
       "[4513]    55    11   291    36    21    49    17  1348    62    20     9    35\n",
       "[4525]    89   270   100    39   117     2   408    40   122    15    12    16\n",
       "[4537]    86    18    13   106   494     6   326   384   148   538     2     7\n",
       "[4549]     8   659     6   351   230    13    57    32    28     9    50   128\n",
       "[4561]   271   110    36   419   101    45    29    24    10    76    21   128\n",
       "[4573]   480   658    33    14    27    10   113    66   240    26    24     8\n",
       "[4585]    77     9   590     6    25   453    18   302   146     8   903    54\n",
       "[4597]    34    22    92   151   137    12    18   154    12   168    46   535\n",
       "[4609]     6    45    47    31    48    23    63    28   134   590   543  2880\n",
       "[4621]    90    78     9   178   258    14    78    25   141    37    17    52\n",
       "[4633]   124   586    81   243   124    12    47  1600    11     3   579     6\n",
       "[4645]   558   146    14   435   440    64   245   196    12   166     3    45\n",
       "[4657]    60    24     8    18    28   844    77     3     8    17    80    70\n",
       "[4669]    11   623   773   283   636   119   273    15    33    81    83    21\n",
       "[4681]    62    30   864   242   164     3    11   441     6    52    72   242\n",
       "[4693]   222     8    30   303   142   547   212     5    74     7     8     9\n",
       "[4705]    65    15   173   896   131    12    62     1    36    57   345   202\n",
       "[4717]   522     8    45   947    62   269     8    15    10   672  1118   276\n",
       "[4729]   123    16   213    10    53    20   659     8    30    68    61    36\n",
       "[4741]    10     9    28     8   221   128    19    25    35    33   838    41\n",
       "[4753]   210    22     4   115     2    43   784    49     8     6    14   183\n",
       "[4765]    28    26   114   360    25    12     6   742     6    12   222    23\n",
       "[4777]     9    26   101    64   683     1    41   280    13    70     4    58\n",
       "[4789]    52    55   365    85    28    25    43     6    58    31    30    44\n",
       "[4801]     5    10    13    40    91    38    43    34    63   196   240   380\n",
       "[4813]  1200    49    18    18    35    82   227    10   463   384    45    30\n",
       "[4825]   128    78    14    70     6    14   246    37    23    12    40    62\n",
       "[4837]    20     4    28   158    28     6   244    15     7    11   264    72\n",
       "[4849]     9     6   976   304   486    13     9     9    70    78   465    10\n",
       "[4861]  1794   758    20    50   240  2405   563   345     9    90   230     2\n",
       "[4873]    18    49     1   120    62     6     2     5   976  2250    60   171\n",
       "[4885]     3   114   183   102  1126  1263     9    38     4   227    48    62\n",
       "[4897]  1118   183     8    26   481    14    26    92   674    23   270    12\n",
       "[4909]    10    18    36   112     6     3    36    15    67   254   174   232\n",
       "[4921]     2    96     4   629    90    15    91    19   897    58    15    23\n",
       "[4933]    13     1     5    17    34  1326   334    20  1269   284     6   375\n",
       "[4945]    96    12     4    29   117    19    12    13    69    86    18    79\n",
       "[4957]    37     3    19    61    68    49    18   243     8   467   129     8\n",
       "[4969]   200   111   208    36    36    89    13   717    21     7   774    21\n",
       "[4981]     4    19     5    85     7    14    16  1326     3     7   689  1890\n",
       "[4993]    56    18    20    52    49    13   110    57    80    70   192    11\n",
       "[5005]    48   714  2322    18    10   792     5   210    34   222   211    35\n",
       "[5017]  1502    10   772    20   348    73   772    40    33   462   138   303\n",
       "[5029]   240     8     9   120   213    26   687   654    34   240   200   716\n",
       "[5041]   221    68   130   467    61   721     5    15     8    80    19    24\n",
       "[5053]   196   398     7  1352    26    42   100   700   585    44   378   124\n",
       "[5065]   392   384  1782    21   550   168    38    54   300    63    14   744\n",
       "[5077]    45   402    18   359    10    21    35    65   106     6   466    10\n",
       "[5089]     3     8     9     3    51    14   215    35    11     5    35    19\n",
       "[5101]     4     5    16    40    17   186    66    42    68    53   187    10\n",
       "[5113]    17    16    11     3    35    34   630    79   233   100    19    13\n",
       "[5125]   464    68  2800   601    17   288    45   101   108    59    93    17\n",
       "[5137]     8    30    23    52   120  1317    64     4    86   139    47     9\n",
       "[5149]   842  1215    68    40     3     7    28   213  1002   569    14   106\n",
       "[5161]    69  1368   302   170     4    13    16   564    63   535  3505   144\n",
       "[5173]   315     3     2   328    53     5    38   259    76    45    46    40\n",
       "[5185]    39  1802   749   200  1516   168    45    23   398    86    13    46\n",
       "[5197]   158    44  3930     2   432    42   104    70     9   106     1    21\n",
       "[5209]    29    27   465    37    51     8    35    30    17    79     8   498\n",
       "[5221]   213   707   115    43   166    37   186   354    82    15   697    31\n",
       "[5233]    27   605   210    55   164   363    60   333    40    14     3    10\n",
       "[5245]   136   334    13    21    44    13   250    49   183   108    99    34\n",
       "[5257]    11    39    35    46   197     3   201    47    22    12   168     4\n",
       "[5269]    52    32   407    28   400     4   715   160    45   340   106    13\n",
       "[5281]    86     6    37    16    44    21    10    90   164    18   967   182\n",
       "[5293]     4    52    50    90    15   544     4    19  2276  1980    62    37\n",
       "[5305]     9    69   296    40   191    13  1525     9    28    65    31   187\n",
       "[5317]    12    10    21    27  2314    34    20    16    17    25     7    19\n",
       "[5329]    32    34    64    61    23    11    17     3    27   308   245    12\n",
       "[5341]    14   900     2   268    32   726    11     9    32    40   144    42\n",
       "[5353]   330    87   279     8    27    16    16    46   198   721    71    82\n",
       "[5365]    65   151    89    12    16    85   274   307    16   347    10    98\n",
       "[5377]    31   348   173    16   106    26    16    10   358   546    40   168\n",
       "[5389]   110    10    26    22    10   213  1026    22    63    39     3   557\n",
       "[5401]    72    80    25     4   446    36    11    88    22    90    43    10\n",
       "[5413]   101   225    73    21    40    15    36   150   281    32    11    26\n",
       "[5425]     4  1650   112   599    47    32   162     4     6     9  1641   270\n",
       "[5437]    20    10   213   589     2     6   100    62    11    21    33   250\n",
       "[5449]   358    57   332    41    86    38     8     7    20    68    13  1478\n",
       "[5461]    16     9    32    56   109   181    16   122   586    19   124    13\n",
       "[5473]    78   102   751    44    85    18   128     2   103    36   240    41\n",
       "[5485]   419    23     4    24     6    21   218    18     7    41   411     8\n",
       "[5497]    64     7     8    42   664     9     3    20     9   859    62    18\n",
       "[5509]   146    57    11    33    23   240   160   129  1320   240    55    13\n",
       "[5521]    24   256    22    58    80    10     2    38    80   115  2480   180\n",
       "[5533]    27   323    60    64    12    13    17   182     2    22   456    10\n",
       "[5545]     5    67    25   127    44   140     3    17    80    36    68    10\n",
       "[5557]     6    56     6  1326    15    35  3000    64    19   210    30    90\n",
       "[5569]   960    16    34    98    30    17    37   180   384    57     7   244\n",
       "[5581]    48    20     8     6    84   546   269    11     6    34   352   246\n",
       "[5593]    19    60   392   438    69    25    11    56    14   142    14    80\n",
       "[5605]   590    17    98    11     8   660    53   844  1496   118    21  1041\n",
       "[5617]    29    20   444   500     3   202    69   100   360     6  2349    14\n",
       "[5629]   274   815   234  1256    17    11   153    83   285    61  1326   572\n",
       "[5641]    29    11     7    18    35    74   192    19    32    58    11  1194\n",
       "[5653]    41     3    45    19    12   113   377    16    29    21   511    19\n",
       "[5665]    11    67    99    15    54   390   355   140    16     8    13    57\n",
       "[5677]    28    39    20   110     6     6    16  1050   155    98    14   130\n",
       "[5689]    49   275    27    45   135    26   543    71    27    13    12    36\n",
       "[5701]    41   140     3   137   264    12    40    79   358   128  2800    19\n",
       "[5713]    37     6   178   620    29    58    29    81     9    91   160    13\n",
       "[5725]   332   900   946   178  1090    61   460    28   639    31    25    14\n",
       "[5737]    19    19    38    13    26   533    27    20   795    22   250    68\n",
       "[5749]    17    75   355    44    21   866     6     3  2000    46    33   481\n",
       "[5761]     6   543    55  1449   354   334    60    85     3    23    15  1158\n",
       "[5773]   600    24   638    13    16   105    30   113    72     2    16    36\n",
       "[5785]   218    39    23    95    12     4    35    73    98    52    47  1396\n",
       "[5797]   117    19    78   421   576    10    16    10    62   206    12    87\n",
       "[5809]    32   132   106    92  1488    19    12   280    13    17    93    12\n",
       "[5821]   239     8   285    19    26   419    91   182     6   582    30   520\n",
       "[5833]     6   364    64    39    73    58    84    32    48   416   305    81\n",
       "[5845]   777    32   226    37   716   796   550    75    29    10    33    23\n",
       "[5857]     1    15   240   302     8   110    19    11    79     5  1133     5\n",
       "[5869]   105  1603  1293   128    60   108    10    12   448    18   246   192\n",
       "[5881]   802   369   886    28  4913    14   180    43    46    25    38    22\n",
       "[5893]    82     3   100    44    21    71   260    10    24    32    60    45\n",
       "[5905]    26    41    17    25    60    15   104    47    26    15    88   200\n",
       "[5917]    95  4229  2004   210   660   111    68   313    23  1100  1216     7\n",
       "[5929]     9    87    16   684    13    17   528    25   177    72    96    13\n",
       "[5941]   436     6   211     6    95    26    49    26    43   300   262   234\n",
       "[5953]    21    10    24   522   677   155    31   770    21   576     8   124\n",
       "[5965]    17   227   108    82   105     9    20    43   241   415   388   360\n",
       "[5977]    14   552   430    32   162    20    13    21   186    78    88   246\n",
       "[5989]     9   505  2357   370   185    65    14   458   387   329   338    26\n",
       "[6001]    91    88     5    12    20   110   129   128    69    75  2549   271\n",
       "[6013]   288    15  4159    92    33    19    55    92    17    72     7    70\n",
       "[6025]   646    10     8    72    18    10   239    21    55    15    20   310\n",
       "[6037]    43   114   130     5   859   506    14   314    28   238   693    16\n",
       "[6049]  1345   173    58   272    12    28    12     2    84    11    36    28\n",
       "[6061]   142    15  1200    13    18    24    89   518     7   343    18   153\n",
       "[6073]     3     6   154   271   469    72    11   192   151    25     6    24\n",
       "[6085]    24     2     4    29     6     1   273   213    39    73    45    14\n",
       "[6097]    81    12     4  2888  1300  2254   105    60   315    14    19    65\n",
       "[6109]     6     2  1475   110    17  1537   449    42  2280    15   192    24\n",
       "[6121]   409    73    62    21    45    12     4   328    49    53     4   767\n",
       "[6133]   164   161   193    28    73    32   206   115   275   196   258   119\n",
       "[6145]    20    12    12    41   202   341   355  1198    88    52    51   333\n",
       "[6157]    42    82   167   773   324    12    26    34     5    20   170   117\n",
       "[6169]    23    13    34     4    27    21   838  1690    86   122    24    64\n",
       "[6181]   630   114    15   888   404   107    71    35   119   384   800    31\n",
       "[6193]    26     6    76   330    71    64    51    96  1440    44   564   235\n",
       "[6205]     8    51    25    57    51  2794  1000    66    18    76     8    68\n",
       "[6217]    62    30   126   192    21    57    73    12   218    66   291    89\n",
       "[6229]   110    55    30   178    19    71  1472    80    58    26   166   360\n",
       "[6241]    12   247    18    25   119    22    14    43     6   465     8     2\n",
       "[6253]    58   201    21    10     3   385    23    11    15    41   442    34\n",
       "[6265]    29     3   144   312    22    40  1159   180   116    12   428    25\n",
       "[6277]    88    70    21    13     6    64   142   305   563   661   240   502\n",
       "[6289]   197   915   328   702    89    64    34  1737   704   142    36    26\n",
       "[6301]    25    14   196    74     7    18   105    48   650   629    15   128\n",
       "[6313]   580    15   152   197   144    16    40    34    10     8    15    66\n",
       "[6325]    33   211    14   273    19   248    67    44    15    30    49    18\n",
       "[6337]    47   340    88   221  5200   157   120    30    69   588    25    12\n",
       "[6349]    37    35   108   361     2     8   338    84    20    26     6    86\n",
       "[6361]    56    51   151  1040    52    41   240   119   133    38   114    84\n",
       "[6373]     7   372   562   100     5    15   100   286    50   300   158    33\n",
       "[6385]    48    63     4    11   230   311    13    15     6    21   397    17\n",
       "[6397]    23     5   825    25   228   242     4     8   177   570   150   899\n",
       "[6409]    46    48     8    77   103    98    12    84   109     6    22   369\n",
       "[6421]    12   333   112   454    19  8400     6    10   122    26   945    14\n",
       "[6433]   410    24   181    35   477   302   975   589    35   100    38    25\n",
       "[6445]    82     7   104     2     9    11    46     7   158     3    57    37\n",
       "[6457]   136    16     4    15    37    90   262    74    13    85    68  2079\n",
       "[6469]   630    72   132   115   100   872    62     5     5   206    16   504\n",
       "[6481]    24   242   110   385    79    45   962    13   295    32   104   290\n",
       "[6493]    40   245    24    16    26    21   135   280    90   540    50    19\n",
       "[6505]  1248     5    19   333   280    50    34    24    12   287   206   218\n",
       "[6517]   530    99   109     3  5444   303    56    10    60     6     9  2000\n",
       "[6529]   216     7     4     9   143   400  2153  4008   329    98   159   291\n",
       "[6541]    74   140   108    33    58     5    25   634    17   156   328    13\n",
       "[6553]   159   320   505     4     9    24  1523   420     3    34    16   194\n",
       "[6565]     9   872   244     7     3   317   149   228    12   563   320  1049\n",
       "[6577]   170   174  1008     7     8   102   180   102   272     9    20   303\n",
       "[6589]    15   232    10    35    20    34   126    12     5     1    62    61\n",
       "[6601]   147   240    16   146     6    45   211   485   372    90    19   192\n",
       "[6613]    21   470   210   240    22   220    32   210  4164   213    42    58\n",
       "[6625]   102   199  7000    13   280     7   698  1747    54   200    69   627\n",
       "[6637]   122     7   107  1422   126    80   133   438   140   133   564    87\n",
       "[6649]    43   320    46    21    21   213   334    32    51    11    69   387\n",
       "[6661]    40   114   448   357   252   220    43     6    17    87    30    50\n",
       "[6673]   266    68    11    84    20   394    47    11    80   147     4    20\n",
       "[6685]   180    42    13  1118   112    12    18   156   478   165    48   415\n",
       "[6697]    35    55    16   225    50   163     6   218     5   144   520     8\n",
       "[6709]   884   230   274    10   266    56    39    95    30    26   160    35\n",
       "[6721]   150    23    17    15    10    11    21   177    50     6   643    21\n",
       "[6733]   178    32    12   114   580   151    48   103   360    13   122    36\n",
       "[6745]   480    24   630    15    18   117   122     9    62     8   275    47\n",
       "[6757]   513   396    82    33   273   254    29    35  1363   317    16    15\n",
       "[6769]   196    35   419    13     8     4    39    18    93   450   345    15\n",
       "[6781]    13    58    20    38   139   260    21   130    70   141     8    10\n",
       "[6793]    63    21   240    35    20     4     8    35   270    45   101    48\n",
       "[6805]   100    10     4    98    22     4    13   113    18   128   241     6\n",
       "[6817]    18  3266     2     8   113     3   168    98   359    32 17500   736\n",
       "[6829]    34    34   198    17     8   146    28   153    23    11  1641   371\n",
       "[6841]    15    21    11    68  1059   478    32    56    77    60  1566   106\n",
       "[6853]    62   495   368    45   183    28     7    11   275    23   218    10\n",
       "[6865]    13    92   255    32  2887    13    48    12     5    11   120    25\n",
       "[6877]  1653   131     5  2004    32  1913   147   114  2568    37   260    19\n",
       "[6889]    73    96    51   114    26    20   412    34   245    11   603     8\n",
       "[6901]   560  2400    16     6   236    11    41  1002    15     3   116   187\n",
       "[6913]   160    56   132    18   124  1404    29    25   357    17   492     7\n",
       "[6925]    24   681    19    94    22   862    20    13    24    32    42    96\n",
       "[6937]    84    37   480   102    28   714    69   624    11   524     2   221\n",
       "[6949]   128    58    80   480    12    54   504    21    36    52    16   147\n",
       "[6961]    13     8    10    22    24    76     6    60   825    25    13    90\n",
       "[6973]   472    18    32     6   622    60    49   155     6    30    24     9\n",
       "[6985]   377    30    12    26  1158     1    44   226   187   266    28    31\n",
       "[6997]    14   176    13   208    26   367   289    69     5   205     9    13\n",
       "[7009]   598    26    18     5   208   148   147    33   588    15    26    16\n",
       "[7021]     7     4   144    31   223   227    46     5    34    28    36    93\n",
       "[7033]   246    55    35   523   480    13    18   167    25   124   600   199\n",
       "[7045]     9     9   100   400    16    15   210    23    31   120   364    36\n",
       "[7057]   123   892    50    83     6    12    28     6    33  1261    39     2\n",
       "[7069]    83     6     9     4     5   176     5    13    55    23   309    19\n",
       "[7081]   473  1013    17     4  1626     9   191   100    79   120   106   163\n",
       "[7093]    43    52   480   147   277    25   319   213    23    20     7   421\n",
       "[7105]   760    39   122    26     3   460     8    72    55     9  1686     6\n",
       "[7117]    62     1    18    14    67    42   142    10   144    18    14    16\n",
       "[7129]    20    35   123   258  1880    27    90   829     7    17    63   290\n",
       "[7141]   114   135   111   777    12   155    43    93    53   972   142   183\n",
       "[7153]    89    53   276   158     5    88     6   222    16    22    16   248\n",
       "[7165]    10    70    12   718   236   170   146   108   144  2400    74    87\n",
       "[7177]    32     2     9    90    13    40    23   909     6     8    75    17\n",
       "[7189]    39   204   674     5    31  1350    16    20    21    13    12   138\n",
       "[7201]   117   331   757     9     6    17   369     3    21    10    30    52\n",
       "[7213]    11    15    16    26     9    62   340    50   274   138    41   110\n",
       "[7225]   152    31   124  1320    90    23    31   465    27   114    13    69\n",
       "[7237]     9   342    44    40    66    93    24  4416    50   355    15   302\n",
       "[7249]    45   120   990     9    69   365    47    50     6   629    15    45\n",
       "[7261]   126    15    33    32   182   155    13    67    90   316   274    17\n",
       "[7273]    21     4   340    64   800    36   390   186  2542   600     3    26\n",
       "[7285]    66    46     7    58   560   305    51    26   649    60    20    38\n",
       "[7297]     5    77   292     9   424     3   382    97    10   891    72   114\n",
       "[7309]   158    14    65     2    11    37   286    44   142    20     4   980\n",
       "[7321]   135     9   101    42     9   401    29   111  1280  1856    23    62\n",
       "[7333]    81    67    55   844   450    16   192     6    68   163    26   192\n",
       "[7345]   722    74    14    65   177    39    22   112   445    17    30   116\n",
       "[7357]     1   170   252   524    19   194    37   340    13     7    33   348\n",
       "[7369]    16     5   258   154    61   110     8    36    54    93    10    41\n",
       "[7381]    14   150    17    18   378    18   373  1336    30   390   102    74\n",
       "[7393]    16    60    34   313   867   795    36    24    43    31    70   510\n",
       "[7405]   123    98   722    12   168   172   100   157    35    14   387   380\n",
       "[7417]   540    41    52   553    23   126   449   195    37    85    33    11\n",
       "[7429]    30    13    16    33     4     9     9    23    99    21    47    19\n",
       "[7441]   237    19    11   237     5    66    22   419    89    10   318     6\n",
       "[7453]  1416   148     9  1037   570     9  1197   523   640    53   539    15\n",
       "[7465]    34   262    88    35    15    15     4   147  1500    14  2574   610\n",
       "[7477]     5   392   756    31     7    13    18   446     2    26    30  2250\n",
       "[7489]  1053    13   107   120    10   512     2     4   277     5    72    19\n",
       "[7501]   141   470     6   165    23    12    46   363     9  1890    62   397\n",
       "[7513]   239    13    29   215    16   146    15     6  1400     9     9    85\n",
       "[7525]    22  1487    72     9    36    17   931   266   483   197   232    30\n",
       "[7537]    14    71   114    37   242    50   509    57   907   720   756    12\n",
       "[7549]     1    21    35   834    13    26   350    22   158   498   534   168\n",
       "[7561]    32   171   199    64   435    49    48    21    26    49    15   195\n",
       "[7573]   591     3   222   236    42    53   564  2625    18   423   128  3500\n",
       "[7585]    14   123     9   123    17   129    58    71     8   887   147    37\n",
       "[7597]   226     5    38    40    30   149    56    13    25     6  1297   264\n",
       "[7609]    26    23    19    10     6     6    15     7    19   680   190    72\n",
       "[7621]   540   725     7    39   850    75   326    23    17   336   252   127\n",
       "[7633]  1208    13    35   301   259    60    58   442    68   704    18    12\n",
       "[7645]    68   892  1300     5  1352  1549    20   119   118    20    81    26\n",
       "[7657]   107   188    77    54    77    10    99    16   130    30  5400   119\n",
       "[7669]    40    60   260   171    39   155   446   153    23   196    15  1688\n",
       "[7681]   342   606   187  3813    26   626  1569    17   160   180   873    13\n",
       "[7693]    89   320   168   164     5  1200    74    26    17   527    12   210\n",
       "[7705]   448   480     9    12    41    14    88    78   147    48   250    41\n",
       "[7717]    30     2   160    60    17    13    41   180   286    24   332    18\n",
       "[7729]    18   432   291   115    11    15    12    19    70    13    90     7\n",
       "[7741]    95    35    26     8   567    10    25     8    61   450    35   468\n",
       "[7753]    33    17     3   268   431    44   155    16    42    10     2    75\n",
       "[7765]    18  1780   220     7    27  1040    46   457  4500    60     6    11\n",
       "[7777]     8    51    37   204    30     9    45   876   185    25     3     8\n",
       "[7789]    23    31     5     2    40    32    98   307    27    47   470   208\n",
       "[7801]   325    40    12   720    25     3     3    31    48   109     5     8\n",
       "[7813]   550    11  1498    18   113    36  4536    12   593   112     9   150\n",
       "[7825]   233    91   509    10    64    60   312    50    19    13   242   480\n",
       "[7837]   307    13   160     6  1185    46    58    71   124   155  1872    16\n",
       "[7849]    19    13     5     8    20    10   321    52    26   464   236    40\n",
       "[7861]    19    18    82   273    18   442   128   166    13    24    24     6\n",
       "[7873]   915     9    98    31    11     5   242   337    13    77   102    10\n",
       "[7885]    47    23    17    16    32    20   400   344   106    14    82     6\n",
       "[7897]   448   272  1615    24     2    32    15   424    77     4     4   716\n",
       "[7909]   269    22    49   206    30    26  3404   101   344    30    23    39\n",
       "[7921]    60   174   384    16    22   104     3   570    51   298    60   230\n",
       "[7933]   106    23    72     9    14  2518   541   221    81   135    40    45\n",
       "[7945]    32    41     3    19   362    64   130     6   862    67     6   435\n",
       "[7957]    15    16    73   206     8    81    20   389    21    41    33    91\n",
       "[7969]    16   121   520    31    10     3   254     4    10   660   114     5\n",
       "[7981]    16    82   255    15     8     8    90    25    38    15     2    40\n",
       "[7993]    18     5   146    10   200  1673    12    58   264   300    26   272\n",
       "[8005]    46    10    93   541   106  1324   127   126   664   120     3    19\n",
       "[8017]    61    31    53    84    12     5    88   658     1   211    79    20\n",
       "[8029]   773   106    23    26    48     1    75     5    38    42   436   389\n",
       "[8041]   573    33    64    27   295   393     2    16   707     6    21    41\n",
       "[8053]    18     3   892   308   729    41    43     4    61    24   264   360\n",
       "[8065]    13   117   277   240    16   455   141   311    13     6    14    15\n",
       "[8077]    27   166    75   134   147   132   204    14   719    61    28    10\n",
       "[8089]    40    78   269     6   110    24    26    13   235   118     4    27\n",
       "[8101]  3358     8  2973   105   776    89   175   438   216    56   127   248\n",
       "[8113]    12    85    21   148    33   205   526    42   451    32    31  1080\n",
       "[8125]   162     3    19   671    65    42    12    13   535    73    37    88\n",
       "[8137]   562    57    11   284    18    15   187   558   160   472     4    49\n",
       "[8149]    20    11   142    32    20 14000   238    62   239   595    16   200\n",
       "[8161]   228   294   308    97   117    12   512   863  2037   450   109   264\n",
       "[8173]     3    42    24   157   128   475  1000   278  1253   111    23     2\n",
       "[8185]    63     8   170    63    19     7    39   188     6    98   336     9\n",
       "[8197]    90    72    16    10    73    67   550    12  4644   578   192     3\n",
       "[8209]  1370   294    82    44   314     6    10     2     3     4    32     5\n",
       "[8221]     2    15    13   186    13   190    41    83    31    90    36  1267\n",
       "[8233]   169    41     3   933  2804     5     7     4    44    24   357   806\n",
       "[8245]    85   345    71    37   744    11     5   181    60   300   192   243\n",
       "[8257]    47   175   101   369     8   171    19    13   123    35    20    69\n",
       "[8269]    32  2003     9  2563   387     3  1085    43     4    35   432   675\n",
       "[8281]    65   207   601    60   637    52    31    48   159   211     6     3\n",
       "[8293]    10    18   300    27   112     5    12     8   181  1650   362    74\n",
       "[8305]   486    32    42    78    37   137   377    63  2940   512     3    22\n",
       "[8317]    16     2    21    11    45    16     9    45    62   158     3    94\n",
       "[8329]   144     6     8    11   355    18    52   300     8    24   498   437\n",
       "[8341]    32    61    73    59    33   218    31     9   210    24     6    32\n",
       "[8353]    26   373    64     8   187    87   106   217    32     5   913   372\n",
       "[8365]   752   605    27    21    84   903   121     5    82    30    87    56\n",
       "[8377]    64    65    16   224    11    85   242    60    13    12    16    78\n",
       "[8389]    76    17    12    27   138   111   902   366   311     8   155    11\n",
       "[8401]   232   165    23   106    84   142    40    29   175   111   630    28\n",
       "[8413]   933    52   166   106   148   104   287    67   200    45    18    40\n",
       "[8425]  2155    18    11     4    62   304   129   274     6     7    10     9\n",
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       "[9361]   429    31    13    22   359    12    68  1677    38   273    42   317\n",
       "[9373]     8   420    61    50    32    33     7    46    65   424     1    84\n",
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       "[9493]    38  1593    12   120     9     4   168    68    27    32    32     3\n",
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       "[9661]  3024    27   478   194    13   120    12    18    72    15    65    22\n",
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       "[9709]    20   341   274    13  1080    52    58    58    37    80   224   221\n",
       "[9721]    19   327    90   297    12    90   287   980     4    10   808    34\n",
       "[9733]   500    20   897     6   270   310    70    20   141  4405    63     9\n",
       "[9745]   269   364    71    11   798   160     5    28     2     8    18   333\n",
       "[9757]   292   206    18  1404     4   240    82   239   140    10     8    55\n",
       "[9769]    50   340    11    42   124   136  2178    17    17   431     9     5\n",
       "[9781]   438   674   275    62     8    49   150  1023   601    40   211    56\n",
       "[9793]   108     5    18     4    10   235    26    10   107    97     3   136\n",
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       "[9817]   517   173     4     9    42    18   153    93    18    46   195   129\n",
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       "[9841]    45     6   483    16    62   133    43   512   148    40    13    90\n",
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       "[9877]   849     9   122   573    85    14   273    11    62   160     6    10\n",
       "[9889]    80     9    21   124   298   404    95   154    62   466    83   331\n",
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       "[9913]   362    31    13    95    13    15    40   528    22     6   192    50\n",
       "[9925]    24  1088   200    84    24  2800    10   683    30   165    34    37\n",
       "[9937]   103    71    60    36    11   224   999    51    41     3   151  1926\n",
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     "output_type": "display_data"
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       "<ol class=list-inline><li>2</li><li>3</li><li>2</li><li>5</li><li>2</li><li>7</li><li>4</li><li>6</li><li>3</li><li>5</li><li>9</li><li>4</li><li>3</li><li>3</li><li>5</li><li>3</li><li>6</li><li>2</li><li>2</li><li>3</li><li>4</li><li>7</li><li>7</li><li>2</li><li>3</li><li>2</li><li>3</li><li>7</li><li>2</li><li>3</li><li>2</li><li>6</li><li>6</li><li>10000</li><li>3</li><li>7</li><li>5</li><li>9</li><li>3</li><li>3</li><li>4</li><li>4</li><li>2</li><li>2</li><li>2</li><li>2</li><li>4</li><li>3</li><li>2</li><li>6</li><li>6</li><li>2</li><li>1</li><li>7</li><li>5</li><li>6</li><li>5</li><li>5</li><li>2</li><li>2</li><li>4</li><li>1</li><li>2</li><li>6</li><li>3</li><li>4</li><li>5</li><li>8</li><li>4</li><li>2</li><li>1</li><li>3</li><li>8</li><li>2</li><li>1</li><li>3</li><li>3</li><li>3</li><li>5</li><li>1</li><li>3</li><li>5</li><li>1</li><li>7</li><li>3</li><li>2</li><li>1</li><li>2</li><li>7</li><li>3</li><li>2</li><li>1</li><li>2</li><li>3</li><li>2</li><li>1000</li><li>7</li><li>3</li><li>6</li><li>7</li><li>3</li><li>3</li><li>4</li><li>6</li><li>3</li><li>3</li><li>8</li><li>1</li><li>1</li><li>5</li><li>2</li><li>2</li><li>6</li><li>14</li><li>2</li><li>3</li><li>6</li><li>3</li><li>1</li><li>3</li><li>4</li><li>6</li><li>9</li><li>7</li><li>3</li><li>6</li><li>2</li><li>7</li><li>2</li><li>3</li><li>5</li><li>2</li><li>9</li><li>3</li><li>1</li><li>4</li><li>2</li><li>3</li><li>6</li><li>14</li><li>2</li><li>3</li><li>3</li><li>3</li><li>3</li><li>7</li><li>4</li><li>11</li><li>3</li><li>8</li><li>5</li><li>5</li><li>2</li><li>7</li><li>4</li><li>6</li><li>3</li><li>2</li><li>2</li><li>7</li><li>1</li><li>2</li><li>5</li><li>2</li><li>3</li><li>8</li><li>3</li><li>9</li><li>6</li><li>5</li><li>5e+05</li><li>3</li><li>2</li><li>7</li><li>2</li><li>4</li><li>4</li><li>7</li><li>5</li><li>1</li><li>2</li><li>7</li><li>4</li><li>5</li><li>2</li><li>2</li><li>8</li><li>3</li><li>3</li><li>4</li><li>6</li><li>8</li><li>3</li><li>5</li><li>7</li><li>2</li><li>3</li><li>3</li><li>2</li><li>3</li><li>...</li><li>3</li><li>3</li><li>2</li><li>2</li><li>4</li><li>2</li><li>3</li><li>7</li><li>2</li><li>1</li><li>1</li><li>2</li><li>8</li><li>4</li><li>2</li><li>5</li><li>4</li><li>4</li><li>3</li><li>5</li><li>5</li><li>7</li><li>4</li><li>7</li><li>2</li><li>3</li><li>10</li><li>2</li><li>3</li><li>3</li><li>4</li><li>3</li><li>4</li><li>2</li><li>3</li><li>3</li><li>4</li><li>7</li><li>1</li><li>7</li><li>4</li><li>2</li><li>5</li><li>2</li><li>1</li><li>3</li><li>8</li><li>2</li><li>4</li><li>4</li><li>7</li><li>3</li><li>5</li><li>5</li><li>5</li><li>2</li><li>2</li><li>3</li><li>2</li><li>5</li><li>4</li><li>2</li><li>6</li><li>8</li><li>5</li><li>2</li><li>4</li><li>2</li><li>4</li><li>1</li><li>4</li><li>2</li><li>7</li><li>3</li><li>2</li><li>2</li><li>3</li><li>2</li><li>2</li><li>1</li><li>2</li><li>2</li><li>4</li><li>5</li><li>3</li><li>7</li><li>3</li><li>3</li><li>13</li><li>2</li><li>3</li><li>2</li><li>3</li><li>2</li><li>1</li><li>3</li><li>2</li><li>7</li><li>5</li><li>4</li><li>5</li><li>11</li><li>2</li><li>3</li><li>2</li><li>1</li><li>3</li><li>3</li><li>1</li><li>3</li><li>2</li><li>7</li><li>3</li><li>3</li><li>5</li><li>3</li><li>2</li><li>7</li><li>3</li><li>3</li><li>2</li><li>5</li><li>1</li><li>3</li><li>1</li><li>5</li><li>7</li><li>3</li><li>4</li><li>3</li><li>1</li><li>8</li><li>2</li><li>4</li><li>3</li><li>5</li><li>2</li><li>4</li><li>7</li><li>3</li><li>3</li><li>3</li><li>3</li><li>2</li><li>5</li><li>4</li><li>7</li><li>14</li><li>9</li><li>5</li><li>3</li><li>1</li><li>3</li><li>6</li><li>8</li><li>3</li><li>1</li><li>2</li><li>2</li><li>1</li><li>3</li><li>2</li><li>5</li><li>4</li><li>2</li><li>2</li><li>1</li><li>2</li><li>4</li><li>2</li><li>1</li><li>1</li><li>7</li><li>5</li><li>2</li><li>7</li><li>2</li><li>5</li><li>2</li><li>5</li><li>7</li><li>2</li><li>2</li><li>7</li><li>4</li><li>14</li><li>1</li><li>5</li><li>7</li><li>2</li><li>10</li><li>4</li><li>1</li><li>1</li><li>5</li><li>3</li><li>2</li><li>2</li><li>4</li><li>2</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 5\n",
       "\\item 2\n",
       "\\item 7\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 3\n",
       "\\item 5\n",
       "\\item 9\n",
       "\\item 4\n",
       "\\item 3\n",
       "\\item 3\n",
       "\\item 5\n",
       "\\item 3\n",
       "\\item 6\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 4\n",
       "\\item 7\n",
       "\\item 7\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 7\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 10000\n",
       "\\item 3\n",
       "\\item 7\n",
       "\\item 5\n",
       "\\item 9\n",
       "\\item 3\n",
       "\\item 3\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 4\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 7\n",
       "\\item 5\n",
       "\\item 6\n",
       "\\item 5\n",
       "\\item 5\n",
       "\\item 2\n",
       "\\item 2\n",
       "\\item 4\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 6\n",
       "\\item 3\n",
       "\\item 4\n",
       "\\item 5\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 3\n",
       "\\item 8\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 3\n",
       "\\item 3\n",
       "\\item 3\n",
       "\\item 5\n",
       "\\item 1\n",
       "\\item 3\n",
       "\\item 5\n",
       "\\item 1\n",
       "\\item 7\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 7\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 1\n",
       "\\item 2\n",
       "\\item 3\n",
       "\\item 2\n",
       "\\item 1000\n",
       "\\item 7\n",
       "\\item 3\n",
       "\\item 6\n",
       "\\item 7\n",
       "\\item 3\n",
       "\\item 3\n",
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       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 2\n",
       "2. 3\n",
       "3. 2\n",
       "4. 5\n",
       "5. 2\n",
       "6. 7\n",
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       "38. 9\n",
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       "366. 2\n",
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       "374. 7\n",
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       "382. 7\n",
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       "385. 7\n",
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       "390. 7\n",
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       "394. 1\n",
       "395. 1\n",
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       "399. 2\n",
       "400. 4\n",
       "401. 2\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "   [1]      2      3      2      5      2      7      4      6      3      5\n",
       "  [11]      9      4      3      3      5      3      6      2      2      3\n",
       "  [21]      4      7      7      2      3      2      3      7      2      3\n",
       "  [31]      2      6      6  10000      3      7      5      9      3      3\n",
       "  [41]      4      4      2      2      2      2      4      3      2      6\n",
       "  [51]      6      2      1      7      5      6      5      5      2      2\n",
       "  [61]      4      1      2      6      3      4      5      8      4      2\n",
       "  [71]      1      3      8      2      1      3      3      3      5      1\n",
       "  [81]      3      5      1      7      3      2      1      2      7      3\n",
       "  [91]      2      1      2      3      2   1000      7      3      6      7\n",
       " [101]      3      3      4      6      3      3      8      1      1      5\n",
       " [111]      2      2      6     14      2      3      6      3      1      3\n",
       " [121]      4      6      9      7      3      6      2      7      2      3\n",
       " [131]      5      2      9      3      1      4      2      3      6     14\n",
       " [141]      2      3      3      3      3      7      4     11      3      8\n",
       " [151]      5      5      2      7      4      6      3      2      2      7\n",
       " [161]      1      2      5      2      3      8      3      9      6      5\n",
       " [171] 500000      3      2      7      2      4      4      7      5      1\n",
       " [181]      2      7      4      5      2      2      8      3      3      4\n",
       " [191]      6      8      3      5      7      2      3      3      2      3\n",
       " [201]      3      2      1      2      7      4      4      2      4      9\n",
       " [211]      1      2      2      5      3      9      2      6      3      2\n",
       " [221]      6      4      4      4      2      1      5      1      2      8\n",
       " [231]      7      2      3      2      3      3      2      5      5      3\n",
       " [241]   2347      5      3      2      7      2      6      5      4      2\n",
       " [251]      1     13      6      4      9      2      5      6      3      3\n",
       " [261]      5      2      3      7     NA      2      3      6      1      3\n",
       " [271]      4      7      3      3      2      1      2      4      6      3\n",
       " [281]      5      7      5      5      5      6      7      2      5      7\n",
       " [291]      8      2      3      8      3      3      5      3      5      8\n",
       " [301]      3      4      1      3      2      3      3      6      1      4\n",
       " [311]      2      1      3      3      2      3      4      1      2      6\n",
       " [321]      4     NA      2      6      1      1      3      2      4     10\n",
       " [331]      6      2      2      3      1      2      4      2      3      4\n",
       " [341]      4     10     13     12      4      3      3      2      2      1\n",
       " [351]      2      1      4      4      6      2      4      5      5      8\n",
       " [361]      2      2      3      2      8      4      4      2      7      4\n",
       " [371]      5      3      5      8      1     10      4      7      3      3\n",
       " [381]      4      7      3      2      3      3      4      1      1      4\n",
       " [391]      2      2      3      3      3      2      2      4      3     NA\n",
       " [401]      4      2      2      6      3      5      3      5      7      1\n",
       " [411]      9      1     13      2      7      4      8      5      1      4\n",
       " [421]      1      6      4      3      4      2      8      1      6      2\n",
       " [431]      7      5      2      5      2      5      3      7      8      3\n",
       " [441]      1      3      3      4      3      7      1      3      3      6\n",
       " [451]      3      3      4      2      2      4      2      3      2      4\n",
       " [461]      9      3      5      6      5      2      2      7      2      3\n",
       " [471]      1      3      2      4      6      7      5      6      3      5\n",
       " [481]      5      3      2      2      2      5      5      6      1      2\n",
       " [491]      2      5      3      2      3      2      8      4      2      9\n",
       " [501]      2      2      2      3      1      5      1      3      3      5\n",
       " [511]      3      2      3      3      2      5      3      2      3      1\n",
       " [521]      2      9      2      3      2      5      3      3      3      1\n",
       " [531]      6      1      3      5      5      2      7      4      3      4\n",
       " [541]      6      8      9      2      1      4      6      2      9      3\n",
       " [551]      5      2      1      3      2      4      2      4      5      3\n",
       " [561]      7      5      3      2      1      3      8      7      3      3\n",
       " [571]      7      4      7      3      3     14      4      2      2      1\n",
       " [581]      4      3      2      3      7      4      1      3      2      4\n",
       " [591]      3      2      2      3      2      3      5      8      2      3\n",
       " [601]      4      2      1      3      3      4      3      2      9      2\n",
       " [611]      3      4      2      9     10      2      2      2      9      1\n",
       " [621]      3      5      2      5      4      9      7      2      5      3\n",
       " [631]      3      5      4      3      3      3      3      3      5      4\n",
       " [641]      3      2      7      4      1      2      5      2      4      3\n",
       " [651]      4     10      2      8      2      2      2      2      2      7\n",
       " [661]     14      5      3      5      3      3      3      3      5      3\n",
       " [671]      1      8      5      3      5      3      3      3      3      3\n",
       " [681]      3      2      4      4      2      3      2      3      2      1\n",
       " [691]      1      3      1      5      8      4      7      4      1      2\n",
       " [701]      3      3      3      3      2      5      1      4      5      8\n",
       " [711]      1      4      6      2      3      5      2      3      3      6\n",
       " [721]      3      3      3      5      7      2      1      8      2      3\n",
       " [731]      3      2      3      3      6      4      1      5      2      3\n",
       " [741]      3      2      5      1      1      4     10      4      1      3\n",
       " [751]     11      7      1      3      4      4      2      4      3      4\n",
       " [761]      9      3      3      2      3      6      3      6      2      2\n",
       " [771]      2      3      5      1      2      7      7      3      3      4\n",
       " [781]      1      5      2      1      2      3      2      2      4      1\n",
       " [791]      8      3      5      2      4      7      7      2      7      5\n",
       " [801]      1      2      9      2      2      3      4      2      3      4\n",
       " [811]      5      4      2      2      7      8      1      8      3      5\n",
       " [821]      3      4      3      2      4      3      7      4      2      2\n",
       " [831]      3      2      1      2      2      1      4      2      3      3\n",
       " [841]      4      4      4      4      2      2      7      3      4      7\n",
       " [851]      2      6      6      2      3      2     10      2      1      2\n",
       " [861]      2      2      6      2      2      1      1      4      6      5\n",
       " [871]      3      3      2      7      5      3      1      3      4      3\n",
       " [881]      5      2      4      5      2      3     12      7      6      5\n",
       " [891]      3      1      4      8      7      3      2      7      8      2\n",
       " [901]      5      4      3      3      2      2      4      7      3      4\n",
       " [911]      7      2      6      1      9      2      4      3      3      1\n",
       " [921]      2      3      1      5      2      3      5      4      2      3\n",
       " [931]      3      3      3      8      6      3      2      1      2      4\n",
       " [941]      2      2      4      5      3      5      3      7      6     12\n",
       " [951]      3      6      4      2      2      5      1      2      3      2\n",
       " [961]      2      2      2      2      2      3      2      4      3      3\n",
       " [971]      6      3      2      3      7      3      2      2      2      3\n",
       " [981]      6      1      2      5      2      4      3      2      5      3\n",
       " [991]      5      2      3      5      7      3      1      3      5      7\n",
       "[1001]      2      7      7      3      3      3      3      3      5      2\n",
       "[1011]      4      3      1     13      1      5      2      3      5      5\n",
       "[1021]      3      3      8      2      2      3      3      2      5      3\n",
       "[1031]      3      9      5      3      2      3      2      3      7      3\n",
       "[1041]      4      2      3      5      9     14      5      3     12      1\n",
       "[1051]      2      2      9      2      2      3      4      4      2      3\n",
       "[1061]      2      3      7      3      3      1      5      4      1      4\n",
       "[1071]      7      3      2      5      7      2      7      2      3      1\n",
       "[1081]      4      9      8      1      2      7      1      3      1      2\n",
       "[1091]      2      9      2      5      2      7      7      5      4      3\n",
       "[1101]      1      3      3      3      3      6      2      5     12      3\n",
       "[1111]      5      2      2      2      1      2      2      5      5      2\n",
       "[1121]      2      7      7      4      3      3      3      1      6      4\n",
       "[1131]      1      5      3      4      3      3      8      2      2      7\n",
       "[1141]      2      2      4      1      2      1      2      2      2      1\n",
       "[1151]      2      6      2      7      2      7      3      2      1      3\n",
       "[1161]      2      3      1      3      5      4      9      2      3      3\n",
       "[1171]      4      2      5      4      6      3      4      2      3      3\n",
       "[1181]      7      2      1      5      7      6      4      2      4      8\n",
       "[1191]      3      4      4      3      4      2      1      9      4      4\n",
       "[1201]      3      3      3      2      3      5      1      3      7      7\n",
       "[1211]      2      4      2      2      1      1      3      2      3      7\n",
       "[1221]      9      8      3      1      1      4      3      2      2      1\n",
       "[1231]      2      2      2      2      3      5      2      3      1      1\n",
       "[1241]      2      4      3      4      9      6     12      3      6      9\n",
       "[1251]     13      2      4      2      3      1      2      3      3      8\n",
       "[1261]      3      4      3      2      5      3      1      6      3      2\n",
       "[1271]      4      3      8      2      5      3      1      3      3      4\n",
       "[1281]      3      3      1      3      7      5      3      2      4      3\n",
       "[1291]      4      5      3      5      1     13      2      2      5      2\n",
       "[1301]      6      3      2      1      3      7      7      3      2      3\n",
       "[1311]      2      1      4      2      6      8      5      1      2      6\n",
       "[1321]      3      2      5      4      3      6      6      1      4      3\n",
       "[1331]      1      2      3      2      8      4      3      2      3      8\n",
       "[1341]      2      5      6      3      5      2      7      6     10      6\n",
       "[1351]      3      2      5      3      1      3     11      3      1      2\n",
       "[1361]      7      4      4     14      2      6      2      4      5      7\n",
       "[1371]      3      3      2      4      5      3      8      5      5      5\n",
       "[1381]      1      3      1      9      5      3      2      2      3      3\n",
       "[1391]      3      3      7      3      5      3      4      2      4      1\n",
       "[1401]      2      3      2      5      1      3      2      2      2      3\n",
       "[1411]      2      2      4      7      3      3      7      3      4      4\n",
       "[1421]      2      2      9      6      5      4      2      5      5     14\n",
       "[1431]      8      6      1     14      5      6      2      3      5      5\n",
       "[1441]      4      2      2      4      9      4      7      2      3      3\n",
       "[1451]      1      7      3      5      8      3      3      9      4      2\n",
       "[1461]      2      2      2      6      2      4      3      4      3      2\n",
       "[1471]      2      2      3      4      6      3      7      7      4      4\n",
       "[1481]      7      3      2      1      3      2      7      3      3      2\n",
       "[1491]      4      1      6      2      3      7      1      5      5      3\n",
       "[1501]      9      3      2      2      4      6      3      4      3      2\n",
       "[1511]      8      9      3      5      4      1      4      2      3      7\n",
       "[1521]      5      6      5      8      6      6      2      2      7      2\n",
       "[1531]      3      1      3      6      2      3      3      1      2      3\n",
       "[1541]      7      5      6      3      4      7      4      2      2      1\n",
       "[1551]      6      2      7      5      3      4      1      5      2      9\n",
       "[1561]      6      1      5      3      5      3      3      4      3      3\n",
       "[1571]      5      3      1      2      3      5      2      1      3      2\n",
       "[1581]      9      2      2      3      2      5      3      3      4      4\n",
       "[1591]      7      5      4      3      3      2     13      4      1      4\n",
       "[1601]      2      2      3      6      5      3      5      1      4      3\n",
       "[1611]      2      2      2      7      3      1      4      3      2      1\n",
       "[1621]      2      8      2      2      5      3      5      6      5      6\n",
       "[1631]      3      2      2      2      2      3      5      4      3      2\n",
       "[1641]      2      3      2      3      7      2      2      2      6      1\n",
       "[1651]      2      2      6      4      2      2      3      7      3      3\n",
       "[1661]      2      5      3      5      3      3      2      3      3      4\n",
       "[1671]      3      2      4      2      2      3      3      3      1      3\n",
       "[1681]      2      4      1      3      2      2      2      2      2      6\n",
       "[1691]      5      5      5      2      4      3      2      2      7      6\n",
       "[1701]      2      9      2      5      3      2      6      2      2      1\n",
       "[1711]      5     14      6      7      2      2      5      5      4      8\n",
       "[1721]      4      2      4      3      3      2      4      5      4      3\n",
       "[1731]      8      2      3      4      2      5      3      3      2      5\n",
       "[1741]      8      4      2      2      7      2      8      3      2      3\n",
       "[1751]      2      2      9      2      2     11      6      6      2      3\n",
       "[1761]      4      6      3      2      1      9      2      4      5      4\n",
       "[1771]      7      2      6      2      9      2      1      9      5      3\n",
       "[1781]      1      2      3      4      6      8      3      3      2      5\n",
       "[1791]      1      8      4      2      3      8      3      6      5      4\n",
       "[1801]      3      1      1      7      2      7      7      7      7      7\n",
       "[1811]      3      7      5      2      3      2      2      2      2      2\n",
       "[1821]      6      4      3      1     10      4      1      3      6      2\n",
       "[1831]      8      1      3      3      7      5      7      3      4      1\n",
       "[1841]      2      1      4      2      3      6      2      3      2      1\n",
       "[1851]      5      5      7      2      5      3      5      4      2      1\n",
       "[1861]      2      4      4      5      3      3      5      6      2      1\n",
       "[1871]      5      2      1      1      2      1      3      4      3      9\n",
       "[1881]      3      7      4      7      2      3      2      8      4      3\n",
       "[1891]      2      1      1      1      3      2      2      2      4      3\n",
       "[1901]      6      2      1      2      2      8      2      6      4      2\n",
       "[1911]      3      7      3      5      2      3      3      5      2      5\n",
       "[1921]      2      2      9      3      3      2      3      2      1      1\n",
       "[1931]      3      1      3      5      5      8      3      2      7      4\n",
       "[1941]      3      4      2      9      4      2      2      2      1      1\n",
       "[1951]      8      3      6      5      3      2      3      4      3      3\n",
       "[1961]      5      6      3      5      3      2      3      5      3      4\n",
       "[1971]      3      7      4      2      3      3      5      6      2      4\n",
       "[1981]      4      2      4      6      3      4      4      3      7      3\n",
       "[1991]      3      4      6      2      3      5      4      4      1      5\n",
       "[2001]      5      7      3      5      3      7      7      2      3      2\n",
       "[2011]      4      2      3      1      2      4      2      2      4      6\n",
       "[2021]      9      3      3      4      5      2      2      4      3      5\n",
       "[2031]      4      3      2      1      2      3      3      2      3      7\n",
       "[2041]      2      5      6      7      3      2      3      1      7      3\n",
       "[2051]      4      8      5      6      3      5      7      1      2      3\n",
       "[2061]      5      2     13      3      4      3      9      3      4      3\n",
       "[2071]      1      5      2      3      7      3      5      7      5      7\n",
       "[2081]      2      2      6      2      4      5      5      3      2      2\n",
       "[2091]      3      3      5      1      5      8      4      3      3      7\n",
       "[2101]      3      4      4      4      2      3      1      1      3      3\n",
       "[2111]      5      4      3      4      2      1      1      7      1      5\n",
       "[2121]      3      3      2      9      5      7      3      3      4      4\n",
       "[2131]      9      7      3      3      7      4      5      4      3      9\n",
       "[2141]      2      3      6      2      7      3      4      6      1      5\n",
       "[2151]      3      7      3      2      3      6      3      3      4      3\n",
       "[2161]      1      1      3      3      2      5      1      7      3      3\n",
       "[2171]      3      2      3      3      4      2      9      5      8      7\n",
       "[2181]      3      4      5      5      8      2      2      6      2      9\n",
       "[2191]      3      3      3      4      3      5      2      3      3      1\n",
       "[2201]      6      7      2      3      1      3      7      4      4      7\n",
       "[2211]     10      6      1      1     13      2      4      2      4      1\n",
       "[2221]      4      2      8      1      3      1      2      1      1      2\n",
       "[2231]      2      5      5      4      7      2      8      5      2      1\n",
       "[2241]      7      3      2      2      2      1      3      2      5      5\n",
       "[2251]      6      3      3      3      2      3      2      7      2      1\n",
       "[2261]      3      1      3      2      1      2      2      2      1      1\n",
       "[2271]      5      6      7      2      1      3      5      1      4      2\n",
       "[2281]      8      2      7      2      7      3      2      5      5      2\n",
       "[2291]      3      6      2      1      3      4      5      1      7      4\n",
       "[2301]      3      4      4      4      3      2      3      5      1      4\n",
       "[2311]      5      1      3      2      2      5      3      7      3      4\n",
       "[2321]      7      3      4      5     12      3      1      2      3      4\n",
       "[2331]      2      5      5      1      6      3      7      4      4      2\n",
       "[2341]      7      5      3      3      9      5      2      5      6      2\n",
       "[2351]      2      3      6      7      5      1      3      7      4      3\n",
       "[2361]      7      4      5      2      2      4      1      4      6      2\n",
       "[2371]      4      8      1      9      2      3      4      2      5      2\n",
       "[2381]      2      7      4      9      4      4      2      2      2      1\n",
       "[2391]      7      9      4      2      2      2      5      2      6      7\n",
       "[2401]      5      6      5      7      9      7     10      5      3      8\n",
       "[2411]      2      5      2      3      5      2      5      3     10      2\n",
       "[2421]      1      3      2      7      1      2     13      4      4      7\n",
       "[2431]      8      2      7      4      2      3      9      2      4      2\n",
       "[2441]      5      2      4      5      6      2      2      5      3      5\n",
       "[2451]      5      6      3      3      8      8      1      6      3      2\n",
       "[2461]      3      3      5      2      1      1      1      4      5      1\n",
       "[2471]      8      4      4      2      5      7      4      3      3      1\n",
       "[2481]      2      6      4      5      5      2      2      3      3      4\n",
       "[2491]      4      6      7      5      5      8      3      2      1      3\n",
       "[2501]      2      4      4      2      4      5      8      4      3      6\n",
       "[2511]      4      6      5      4      2      2      9      3      7      6\n",
       "[2521]      3      2      1      4      9      2      3      6      2      2\n",
       "[2531]      5      4      7      4      6      4      2      4      1      6\n",
       "[2541]      3      7      3      3      4      4      1      1      5      8\n",
       "[2551]      2      6      2      4      7      2      8      2      7      5\n",
       "[2561]      2      4      2      1      2      4      5      9      8      2\n",
       "[2571]      4      2      7      5      3      5      2      3      3      8\n",
       "[2581]      3      2     13      3      2      2      7      1      1      3\n",
       "[2591]      2      3      2      8      2      3      3      2      3      2\n",
       "[2601]      7      3      3      1      4      1      1      3      1      5\n",
       "[2611]      2      3      3      2      3      6      2     13      3      4\n",
       "[2621]      3      5      4      4      8      5      1      4      7     10\n",
       "[2631]      3      2      2      1      2      5      2      4      3      3\n",
       "[2641]      4      1      6      1      8      3      3      2      6      3\n",
       "[2651]      5      3      3      3      3      2      2      5      3      4\n",
       "[2661]     11      2      2      1      3      2      3      1      1      4\n",
       "[2671]      3      6      2      5      3      5      1      7      2      5\n",
       "[2681]      5      4      3      1      9      3      2      5      5      4\n",
       "[2691]      3      3      3      5      1      2      4      6      4      3\n",
       "[2701]      2      3      3      3      6      2      3      4      7      3\n",
       "[2711]      2      4      9      3      5      2      2      3      2      3\n",
       "[2721]      3      5      5      5      2      5      4      1      7      3\n",
       "[2731]      4      1      2      1      4      3      7      3      2      4\n",
       "[2741]      2      5      2      6      3      1      3      4      3      3\n",
       "[2751]     11      2      2      3      5      5      2      3      4      4\n",
       "[2761]      5      1      5      3      5      2      1      8      2      7\n",
       "[2771]      3      5      3      3      2      3      7      2      8      3\n",
       "[2781]      4     10      2      2      4      4      2      5      7      5\n",
       "[2791]      2      3      1     14      4      7      3      4      2      5\n",
       "[2801]      5      1      3      3      6      2      2      2      5      2\n",
       "[2811]      9      6      3      4      3      5      1      2      6      5\n",
       "[2821]      3      3      2      2      8      2      2      2      6      5\n",
       "[2831]      2      5      3      7      2      1      3      5      2      1\n",
       "[2841]      4      7      2      3      8      3      3      6      3      6\n",
       "[2851]      1      4      1      4      3      7      4      2      4      3\n",
       "[2861]      9      7      4      3      7      3      4      5      3      2\n",
       "[2871]      3      3      1      8      3      2      7      2      2      3\n",
       "[2881]      6      3      5      4      2      5      3      2      5      5\n",
       "[2891]      2      3      2      5     11      3      5      4      2      2\n",
       "[2901]      4      7      5      7      3      2      2      5      3      3\n",
       "[2911]      4      5      4      3      3      2      4      1      5      2\n",
       "[2921]      7      2      3      1      1      1      3      3      4      4\n",
       "[2931]      2      2      1      1      3      1      7      7      5      3\n",
       "[2941]      1      7      3      9      1      7      3     14      5      4\n",
       "[2951]      5      2      2      2      2      1      3      1      4      4\n",
       "[2961]      3      8      2      2      5      2      6      4      3      6\n",
       "[2971]      8      2      4      5      2      4      7      2      6      4\n",
       "[2981]      2      4      4      3      1      4      2      9      1      4\n",
       "[2991]      5      7      3      4      4      5      4      1      4      3\n",
       "[3001]      2      2      5      4      1      3      5      3      3      5\n",
       "[3011]      5      5      2      6      4      2      8      3      7      3\n",
       "[3021]      3      3      5      2     11      3      3      2      5      4\n",
       "[3031]      4      1      4      4      6      7      2      5      2      3\n",
       "[3041]      5      2      2      8      5      5      1      7      2      4\n",
       "[3051]      2      4      2      2      2      5      2     10      2      2\n",
       "[3061]      3      8      3      3      8      8      5      7      6      4\n",
       "[3071]      7      3      5      2      2      3      5      2      8      2\n",
       "[3081]      3      2      3      1      4      2      2      2      5      7\n",
       "[3091]      7      5      3      4      2      8      2      4      4      3\n",
       "[3101]      3      6      1      7      6      4      6      3      3      1\n",
       "[3111]      8      1      3      5      6      6      5      4      5      2\n",
       "[3121]      3      2      5      2      2      4      2      4      2      2\n",
       "[3131]      5      4      2      3      5      3      1      2      2      3\n",
       "[3141]      3      2      5      6      7      4      3      5      5      3\n",
       "[3151]      6      2      2      7      2      3      2      2      5      3\n",
       "[3161]      5      2      5      3      9      2      3      5      8     13\n",
       "[3171]      6      2      5      3      7      2      2      2      3      2\n",
       "[3181]      5      2      3      9      3      3      3      7      1      4\n",
       "[3191]      3      1      7      3      6      3      3      3      4      7\n",
       "[3201]      3      4      8      1      2      8      5      8      5      9\n",
       "[3211]      3      7     11      1      2      6      3      3      2      5\n",
       "[3221]      4      1      2      2      2      6      2      3      1      1\n",
       "[3231]      5      3      1      2      1      1      3      3      5      7\n",
       "[3241]      3      5     13      5      3      3      5      3      2      2\n",
       "[3251]      7      3      3      2      1      3      2      3      2      2\n",
       "[3261]      4      2      7      3      4      2      3      2      1      3\n",
       "[3271]      3      8      5      6      3      6      7      1      2      7\n",
       "[3281]      5      2      1      3      7      2      3      3      5      5\n",
       "[3291]      1      2      3      2      8     11      7      4      3      1\n",
       "[3301]      1      6      3      3      3      2      3      3      2      6\n",
       "[3311]      5      7      5      2      2      3      5      9      3      7\n",
       "[3321]      3      5      3      3      5      1      3      5      8      2\n",
       "[3331]      3      3      3      1      4      4      4      3      9      3\n",
       "[3341]      5      3      1      3      9      4      5      5      5      4\n",
       "[3351]      3      3      2      2      1      2      1      9      2      2\n",
       "[3361]      4      3      3      2      3      2      2      3      2      4\n",
       "[3371]      5      6      2      3      5      4      2      9      6      3\n",
       "[3381]      9      1      3      7      5      4      3      2      6      3\n",
       "[3391]      2      4      2      1      6      4      1      4      1      6\n",
       "[3401]      3      3      7      4      2      2      2      8      4      2\n",
       "[3411]      9      2      4      2      2      1      2      5      2      2\n",
       "[3421]      2      8      7      4      2      4     10      4      2      6\n",
       "[3431]      3      2      9      3      6      2      3      2      2      6\n",
       "[3441]      1     14      3      7      2      5      2      2      2      5\n",
       "[3451]      1      2      2      4      3      2      3      3      2      2\n",
       "[3461]      2      4      7      1      1      2      2      9      6      3\n",
       "[3471]      2      2      2      1      2      5      5      9      2      7\n",
       "[3481]      6      2      5      4      3      4      1      2      2      6\n",
       "[3491]      5      3      2      4      5      4      2      6      5      3\n",
       "[3501]      3      9      2      3      4      2      4      4      3      2\n",
       "[3511]      2      7      9      3      3      3      9      2      4      7\n",
       "[3521]      2      7      3      8      6      3      3      8      4      3\n",
       "[3531]      5      5      4      4      5      2      3      3      3      5\n",
       "[3541]      7      3      2      1      8      8      7      2      1      8\n",
       "[3551]      3      6      8      1      2      6      7      2      4      4\n",
       "[3561]      4      5      2      4      2      2      3      4      2      6\n",
       "[3571]      4      1      1      2     10      3      1      1      1      5\n",
       "[3581]      8      1      2      2      2      1      2      3      2      1\n",
       "[3591]     12      1      3      3      5      1      3      6      3      1\n",
       "[3601]      9      2      5      5      2      4      3      3      3      3\n",
       "[3611]      2      2      2      2      6      4      5      2      1      5\n",
       "[3621]      3      8      5      2     12      2      1      1      7      3\n",
       "[3631]      7      2      8      4      7      2      3      4      7      1\n",
       "[3641]      7      7      2      2      1      5      1      4      2      6\n",
       "[3651]      6      5      4      3      9      2      1      3      4      3\n",
       "[3661]      5      3     10      2      7      4      3      5     10      5\n",
       "[3671]      2      3      1      6      2      3      2      4      3      2\n",
       "[3681]      3      3      4      9      6      7      3      2      6      5\n",
       "[3691]      2      1      5      4      7      6      3      2      5      4\n",
       "[3701]      1      2      6      3      3      5      3      2      3      7\n",
       "[3711]      3      5      1      3      2      5      5      2      5      5\n",
       "[3721]      4      2      8      5      3      2      2      2      3      2\n",
       "[3731]      7      1      7      4      1      3      2      2      1      2\n",
       "[3741]      1      4      9      3      3      5      3      2      4      2\n",
       "[3751]      5      3      3      2      5      7      5      7      2      2\n",
       "[3761]      2      5      2      3      3      2      1      5      9      2\n",
       "[3771]      6      2      3      3      3      2      7      6      3      2\n",
       "[3781]      2      3      3      4      2      2      7      1      3      5\n",
       "[3791]      6      3      6      3      1      3      4      3      3      5\n",
       "[3801]      1      1      3      2      4      1      5      2      3      5\n",
       "[3811]      1      3      2      6      5      2      2      3      7      3\n",
       "[3821]      3      2      6      6      2      9     10      5      1      2\n",
       "[3831]      2      3      2      5      3      2      3      2      3      9\n",
       "[3841]      3      3      2      2      2      6      5      3      4      5\n",
       "[3851]      7      2      8      1      5      3      5      3      7      3\n",
       "[3861]      1      3      3      4      5      2      6      9      1      7\n",
       "[3871]      2      4      3      3      7      2      3      5      4      4\n",
       "[3881]      2      2      6      4      3      4      3      2      3      2\n",
       "[3891]      2      6      8      7      5      5      3      3      2      2\n",
       "[3901]      2      2     14      7      4      4      4      5      2      1\n",
       "[3911]      5      3      3      2      5      2      2      4      3      4\n",
       "[3921]      4      3      6      5      2      3      2      5      5      1\n",
       "[3931]      7      3      2      5      5      2      3      3      2      5\n",
       "[3941]      2      1      5      7      3      1      1      2      2      2\n",
       "[3951]      6      2      2      2      1      4      3      3      2      3\n",
       "[3961]      6      5      3      3      3      3      4      7      8     10\n",
       "[3971]      9      4      2      5      8      7      4      3      2      2\n",
       "[3981]      3      3      4      5      1      3      4      5      5      2\n",
       "[3991]      3      3      3      6      3      7      5      1      6      5\n",
       "[4001]     11      5      3      3      3      1      4      6      2     11\n",
       "[4011]      2      4      4      3      3      5      5      2      9      3\n",
       "[4021]      3      3      5      5      4      4      7      2      8      3\n",
       "[4031]      4      6      5      4      3      6      2      5      4      6\n",
       "[4041]      3      3      9      6      5      3      2      3     10      3\n",
       "[4051]      2      3      2     11      4      6      1      5      7      3\n",
       "[4061]      3      3      1      9      1      5      3     12      9      9\n",
       "[4071]      4      2      2      6      4      4      2      4      3      3\n",
       "[4081]      9      1      3      3      3      2      3      3      9      2\n",
       "[4091]      3      3      2      7      4      3      5      5      5      2\n",
       "[4101]      1      1      8      2      5      2      2      2      3      2\n",
       "[4111]      1      3      1      3      3      5      2      3      7      8\n",
       "[4121]      4      6      3      2      3      3      6      6      3      4\n",
       "[4131]      5      3      3      9      3      5      7      7      6      3\n",
       "[4141]      5      3      9      7      3      1      3      3      1      1\n",
       "[4151]      4      5      3      3      4      3      2      6      3      3\n",
       "[4161]      3      2      4      3      7      9      3      4      2      6\n",
       "[4171]      3      7      2      2      2      2      5      3      5      9\n",
       "[4181]      5      4      3      3      1      6      7      1      2      1\n",
       "[4191]      3      5      2      3      2      5      3      4      4      1\n",
       "[4201]      2      6      7      5      2      2      2      3      5      1\n",
       "[4211]      2      3      2      2      3      4      3      8      2      2\n",
       "[4221]      6      5      2      3      2      3      4      1      1      9\n",
       "[4231]      9      3      6      1      3      9      4      7      1      2\n",
       "[4241]      4      3      3      3      3      1      5      5      6      4\n",
       "[4251]      7      7      2      2      3      4      3      2      2      2\n",
       "[4261]      5      4      1      3      8      3      7      3      5      4\n",
       "[4271]     11      4      9      1      1      2      2      7      2      5\n",
       "[4281]      2      2      1      3      2      2      1      1      5      3\n",
       "[4291]      2      9      1      3      5      3      4     13      2      6\n",
       "[4301]      2      5      1      7      4      5      3      2      7      4\n",
       "[4311]      3      3      4      2      2      3      3      2      6      3\n",
       "[4321]      1      2      3      2      3      3      3      5      9      3\n",
       "[4331]      5      1      5      6      2      1      2      3      3      1\n",
       "[4341]      2      3      6      6      2      4      2      3      2      8\n",
       "[4351]      2      2      4      2      8      7      4      2      1      2\n",
       "[4361]      2      3      3      4      4      3     10      4      6      5\n",
       "[4371]      2      5      2      5      6      5      3      5      2      2\n",
       "[4381]      3      3      5      4      2      5      4      3      7      2\n",
       "[4391]      3      3      2      5      1      3      2      2      2      5\n",
       "[4401]      3      5      2      3      3      3      2      3      1      2\n",
       "[4411]      6      3      3      3      1      2      5      8      3      4\n",
       "[4421]      5      3      2      3      5      6      2      3      6      3\n",
       "[4431]      4      3      5      1      3      1      7      3      2      4\n",
       "[4441]      1      5      5      5      5      6      4      5      2      1\n",
       "[4451]      3      5      2      5      4      2      2      5      2      1\n",
       "[4461]      2      2      4      3      2      1      9      2      2      2\n",
       "[4471]      3      1      3      2      3      4      2      3      2      5\n",
       "[4481]      7      2     12      3      2      3      3      5      9      3\n",
       "[4491]      3      2      2      7      6      9      6      4      2      2\n",
       "[4501]      5      5      6      7      2      3      3      1      1      3\n",
       "[4511]      2      2      6      1      1      4      5      7      4      8\n",
       "[4521]      3      4      3      7      6      2      5      4      4      2\n",
       "[4531]      2      3      3      2      2      3      3      3      4      2\n",
       "[4541]      7      7      2      9      2      7      2      3      1      4\n",
       "[4551]      2      3      3      3      3      4      4      1      2      3\n",
       "[4561]      3      3      5      4      6      3      6      4      6      3\n",
       "[4571]      3      2      2      7      4      5      2      1      3     11\n",
       "[4581]      6      3      8      2      7      5      6      3      3      7\n",
       "[4591]      2      2      3      2      3      3      8      3      5      1\n",
       "[4601]      9      4      1      4      2      7      1      3      2      7\n",
       "[4611]      8      4      3      5      3      9      3      2      3      6\n",
       "[4621]      3      5      3      4      2      3      5      2      5      3\n",
       "[4631]      2      5      3      6      1      3      4      3      2      8\n",
       "[4641]      1      4      4      2      2      2      3      3      9      5\n",
       "[4651]      5      4      2      5      1      2      2      2      2      7\n",
       "[4661]      3      6      3      1      9      2      4      2     10      7\n",
       "[4671]      5      4      4      1      3      2      4      1     12      2\n",
       "[4681]      2      9      9      4      4      2      7      9      5      2\n",
       "[4691]      3      3      5      2      4      3      2      9      3      2\n",
       "[4701]      2      2      1      2      7      2      4      5      3      2\n",
       "[4711]      3      1      7      2      2      2      2      3      7      7\n",
       "[4721]      2      3      1      3      2      3      4      3      7      3\n",
       "[4731]      6      3      3      3      3      2      2      2      2      1\n",
       "[4741]      2      3      3      2      4      2      3      3      3      5\n",
       "[4751]      3      3      2      4      2      3      2      7      4      2\n",
       "[4761]      2      2      2      3      4      1      5      3      4      3\n",
       "[4771]      3      8      1      5      2      4      3      3      7      1\n",
       "[4781]      4      3      7      5      5      4      3      4      9      5\n",
       "[4791]      5      3      3      4      1      3      3      6      3      5\n",
       "[4801]      2      2      8      1      9      2     10      3      3      4\n",
       "[4811]      2      3      4      3      3      3      2      2      4      2\n",
       "[4821]      8      6      6      7      3      3      4      2      3      3\n",
       "[4831]      6      3      2      3      5      2      4      2      6      4\n",
       "[4841]      2      3      5      4      2      3      5     11      1      2\n",
       "[4851]      5      8      6      3      3      3      3      4      9      7\n",
       "[4861]      2      6      1      3      3      6     11      3      3      2\n",
       "[4871]      7      2      5      3      1      5      2      3      3      2\n",
       "[4881]      4      9      4      5      2      5      3      6      3      6\n",
       "[4891]      3      2      2      2      1      2      4      2      2      8\n",
       "[4901]      4      1      6      3      3      4      5      8      2      3\n",
       "[4911]      7      2      5      2      2      3      7      3      3      2\n",
       "[4921]      2      2      2      6      2      2      1      3      3      5\n",
       "[4931]      3      2      1      2      3      3      7      5      3      5\n",
       "[4941]      9      4      2      1      2      2      2      4      7      3\n",
       "[4951]      3      2      1      2      7      3      2      2      9      1\n",
       "[4961]      1      1      3      3      4      4      3      2      2      1\n",
       "[4971]      2      2      2      2      2      9      5      2      6      3\n",
       "[4981]      2      4      2      3      5      5      3      6      2      3\n",
       "[4991]      4      5      8      8      5      4      1      4      1      5\n",
       "[5001]      1      5      4      2      3      5      2      3      1      6\n",
       "[5011]      3      7      3      7      6      7      4      3      3      2\n",
       "[5021]      3      2      3      4      2      3      2      3      3      3\n",
       "[5031]      1      8      3      1      5      3      2      5      4      2\n",
       "[5041]      7      3      4      9      5      4      3      5      7      2\n",
       "[5051]      2      2      4      5      3      9      5      6      9      2\n",
       "[5061]      9      2      3      3      2      3      7      5      1      3\n",
       "[5071]      3      6      2      4      2      5      5      2      3      3\n",
       "[5081]      1      4      4      3      4      2      7      1      3      2\n",
       "[5091]      1      3      3      4      5      4      3      2      2      3\n",
       "[5101]      2      1      3      6      3      4      4      9      5      6\n",
       "[5111]      6      4      9      3      3      1      1      3      7      9\n",
       "[5121]      5      2      3      2      9      7      4      2      1      3\n",
       "[5131]      9      8      3      7      4      5      2      4      3      5\n",
       "[5141]      2      6      8      1      2      4      4      4      3      3\n",
       "[5151]      2      5      1      3      4      3      2      3      2      2\n",
       "[5161]      2      8      2      3      2      3      3      3      3      3\n",
       "[5171]      5      3      3      1      2      3      2      3      2      2\n",
       "[5181]      2      7      3      3      7      6      8      4      7      6\n",
       "[5191]      2      2      5      7      4      3      3      5      3      1\n",
       "[5201]      3      7      7      3      2      2      1      2      5      1\n",
       "[5211]      3      3      3      3      5      5      2      3      5      7\n",
       "[5221]      3      7      5      7      3      5      6      2      2      2\n",
       "[5231]      5      1      7      6      1      3      3      3      2      3\n",
       "[5241]      2      2      3      1      2      3      2      8      3      4\n",
       "[5251]      5      4      3      2      2      2      2      6      5      3\n",
       "[5261]      3      2      1      4      3      2      3      1      4      4\n",
       "[5271]      5      4      7      4      3      4      5      6      4      1\n",
       "[5281]      2      2      3      3      3      9      8      3      4      2\n",
       "[5291]      5      6      1      1      8      2      1      8      2      3\n",
       "[5301]     10      6      6      2      2      5      3      2      3      5\n",
       "[5311]      6      4      2      2      4      9      2      1      4      3\n",
       "[5321]      7      4      2      2      5      6      2      3      2      2\n",
       "[5331]      1      5      4      4      3      1      4      7      5      6\n",
       "[5341]      2      5      1      5      1      4      3      2      3      5\n",
       "[5351]      9      4      2      8      6      2      5      1      2      2\n",
       "[5361]      8      5      6      2      4      1      3      4      1      3\n",
       "[5371]      2      3      3      7      2      6      3      7      4      3\n",
       "[5381]      6      5      8      2      3     14      9      3      3      2\n",
       "[5391]      3      6      2      7      6      7      5     12      3      5\n",
       "[5401]      2      2      4      1      5      1      3      4      1      3\n",
       "[5411]      1      7      3      5      6      4      2      2      7      2\n",
       "[5421]      3      2      3      5      2      5      6      5      3      2\n",
       "[5431]      2      1      4      4      5      3      2      5      3      2\n",
       "[5441]      1      2      1     13      3      1      6      5      3      5\n",
       "[5451]      2      2      5      6      1      2      5      2      6      8\n",
       "[5461]      1      3     10      4      5      5      3      3      3      3\n",
       "[5471]      5      5      2      7      2      3      5      3      3      1\n",
       "[5481]      1      2      4      2      4      3      4      3      3      3\n",
       "[5491]      3      2      2      4      4      4      2      2      3      2\n",
       "[5501]      6      2      1      3      3      4      2      4      5      2\n",
       "[5511]      2      4      3      3      2      3      4     10      2      3\n",
       "[5521]      5      4      6      4     12      2      1      2      5      3\n",
       "[5531]      4      6      3      3      3      3      3      2      3      2\n",
       "[5541]      2      3      6      6      2      5      2      4      3      7\n",
       "[5551]      1      6      3      7      1      2      2      2      1      5\n",
       "[5561]      3      1      5      4      4      2      5      1      2      3\n",
       "[5571]      1      3      4      3      1      2      6      3      2      5\n",
       "[5581]      9      1      5      2      4      3      3      5      2      3\n",
       "[5591]      2      2      1      7      2      3      2      3      3      2\n",
       "[5601]      5      3      1      5      6      2      1      5      2      2\n",
       "[5611]      3      2      9      2      5      5      6      2      4      5\n",
       "[5621]      1      2     11      4      2      2      9      6      3      9\n",
       "[5631]      3      6      2      7      5      5      3      3      6      3\n",
       "[5641]      9      4      4      3      5      5     14      3      5      5\n",
       "[5651]      2      5      1      1      4      4      2      3      5      4\n",
       "[5661]      3      2      9      2      7      1      2      2     14      3\n",
       "[5671]      4      3      2      2      2      6      4      3      7      2\n",
       "[5681]      1      1      3      7      5      3      5      6      7      3\n",
       "[5691]      9      5      1      5      3      2      9      1      1      6\n",
       "[5701]      3      5      1      1      1      3      3      3      3      2\n",
       "[5711]      7      3      1      3      5      5      3      7      3      5\n",
       "[5721]      5      3      4      2      3      9      7      3      3      2\n",
       "[5731]      4      4      9      3      2      3      2      2      3      2\n",
       "[5741]      1      2      4      3      7      7      2      3      3      5\n",
       "[5751]      3      3      5      4      2      4      5      3      3      4\n",
       "[5761]      1      3      4     10      6      3      6      6      1      4\n",
       "[5771]      3      4      1      2      7      1      3      1      3      1\n",
       "[5781]      3      1      4      4      6      6      7      7      5      3\n",
       "[5791]      7      1      2      1      2      9      4      3      2      2\n",
       "[5801]      4      2      2      3      4      3      3      2      2      4\n",
       "[5811]      4      2      3      3      1      4      3      4      9      4\n",
       "[5821]      2      1      5      4      3      4      1      2      2      2\n",
       "[5831]      1      4      3      5      5      3      5      4      5      5\n",
       "[5841]      2      4      5      4      7      5      2      3      2      3\n",
       "[5851]      1      3      3      2      7      3      1      5      2      2\n",
       "[5861]      2      2      3      2      3      2      5      1      6      4\n",
       "[5871]      7      3      1      7      3      3      7      3      6      4\n",
       "[5881]      2      9      9      2      3      3      3      1      2      2\n",
       "[5891]      1      2      3      1      3      3      5      4      4      1\n",
       "[5901]      9      3      3      4      5      4      1      2      3      3\n",
       "[5911]      3      3      3      5      7      2      4      6      5      3\n",
       "[5921]      2      2      4      2      7     10      8      1      4      3\n",
       "[5931]      3      2      3      3      2      5      3      3      1      4\n",
       "[5941]     12      2      4      1      5      4      4      5      4      3\n",
       "[5951]      2      6      4      5      2      4      5      5      4      3\n",
       "[5961]      4      9      2      4      3      6      3      2      1      2\n",
       "[5971]      4      3      1      2      5      2      2     10      5      2\n",
       "[5981]      2      2      2      6      6      2      4      6      1      5\n",
       "[5991]      7      7      3      5      2      5      4      3      3      4\n",
       "[6001]      4      3      2      1      4      2      3      3      3      3\n",
       "[6011]      6      3      3      5      8      2      7      3      1      5\n",
       "[6021]      2      2      3      2      8      2      5      5      2      3\n",
       "[6031]      1      4      5      3      2      4      3      6      4      3\n",
       "[6041]      3      3      2      3      7      3      3      9      5      7\n",
       "[6051]      5      5      3      4      7      1      8      2      5      2\n",
       "[6061]      4      3      5      3      3      6      8      8      1      1\n",
       "[6071]      3      2      2      2      3      2      6      2      3      3\n",
       "[6081]      9      5      6      9      2      1      6      3      1      2\n",
       "[6091]      3      2      9      2      4      2      1      3      2     11\n",
       "[6101]      2      5      3      3      2      4      2      5      2      3\n",
       "[6111]      7      2      6      9      2      6      4      3      3      3\n",
       "[6121]      8      2      2      4      5      2      1      6      4      3\n",
       "[6131]      2     14      5      2      4      3      6      6      2      3\n",
       "[6141]      5      4      2      6      3      4      4      2      2      6\n",
       "[6151]      5     10      4      2      3      1      3      3     12      4\n",
       "[6161]      3      4      3      5      3      3      2      3      2      2\n",
       "[6171]      3      2      5      2      2      4      7      2      4      2\n",
       "[6181]      5      3      2      8      5     10      3      6      6      4\n",
       "[6191]      9      3      5      5      5      2      3      7      3      2\n",
       "[6201]      4      3      5      8      2      7      4      1      2      9\n",
       "[6211]      7      3      3      2      1      3      8      3      6      2\n",
       "[6221]      7      9      4      7      3      1      4      3      4      3\n",
       "[6231]      4      2      3     11      5      5      3      4      3      2\n",
       "[6241]      1      8      2      3      6      3      2      1      3      2\n",
       "[6251]      1      1      9      3      8      4      1      2      3      4\n",
       "[6261]      3      4      7      3      5      2      9      2      5      1\n",
       "[6271]      9      5      7      3      3      5      7      2      2      3\n",
       "[6281]      2      2      3      5      5      2      3      3      6      4\n",
       "[6291]      8      2      3      3      1      6      5      4      3      3\n",
       "[6301]      3      2      5      3      1      7      1      3      3      8\n",
       "[6311]      1      3      3      1      4      2      3      2      5      6\n",
       "[6321]      2      3      2      3      5      4      1      3      5      4\n",
       "[6331]      2      3      3      5      4      5      4      5      4      2\n",
       "[6341]      4      4      3      2      2      3      5      1      3      2\n",
       "[6351]      5      2      1      1      2      5      5      4      1      6\n",
       "[6361]      2      7      5      1      8      1      1      2      5      5\n",
       "[6371]      2      4      3      3      2      5      2      2      1      5\n",
       "[6381]      8      5      4      4      2      8      1      2      2      5\n",
       "[6391]      2      2      2      6      4      1      2      2      5      8\n",
       "[6401]      6      2      1      3      3      2      7      5      5      3\n",
       "[6411]      1      2      3      6      5      1      4      2      2      3\n",
       "[6421]      3      3      7      8      3      4      1      2      3      2\n",
       "[6431]      6      7      3      5      5      4      5      3      4      5\n",
       "[6441]      5      3      2      5      3      6      5      1      1      2\n",
       "[6451]      2      1      3      2      2      7      1      7      2      5\n",
       "[6461]      5      3      2      5      2      6      7      5      5      6\n",
       "[6471]      2      7     10      3      4      3      2      1      3      5\n",
       "[6481]      7      2      2      2      6      4      4      3     14      5\n",
       "[6491]      4      2      5      4      2      3      2      3      9     14\n",
       "[6501]      6      6      7      3      3      3      4      4      5      3\n",
       "[6511]      3      6      4      7      2      3      5     10      2      1\n",
       "[6521]      4      3      7      2      1      5      5      4      4      3\n",
       "[6531]      3      5      1      5      3     10      3      3      1      5\n",
       "[6541]      6      2      3      1      5      2      1      6      3      6\n",
       "[6551]      4      2      5      4      3      1      1      1      9      5\n",
       "[6561]      1      5      3      2      3      4      4      5      2      3\n",
       "[6571]      3      3      2      4      8      8      3      6      7      1\n",
       "[6581]      3      3      3      6      4      5      6      3      3      2\n",
       "[6591]      3      3      5      2      7      5      1      1      2      3\n",
       "[6601]      3      8      6      3      3      7      4      6      3      6\n",
       "[6611]      3      2      3      5      3      2      6      4      5      6\n",
       "[6621]      5      3      6      8      1      4      4      2     14      5\n",
       "[6631]      3      5      1      1     11      4      5      3      6      8\n",
       "[6641]      6      2      9      4      7      4      3      2      7      2\n",
       "[6651]      5      2      4      5      3      1      2      5      2      9\n",
       "[6661]      2      2      7      5      7      5      5      2      2      5\n",
       "[6671]      2      2      7      4      6      2      5      3      7      1\n",
       "[6681]      4      3      2      6      1      2      5      4      4      5\n",
       "[6691]      4      6     11      3      3      3      3      1      2      2\n",
       "[6701]      3      4      4      2      3      3      7      3      4      3\n",
       "[6711]      8      3      6      3      3      6      6      4      4      3\n",
       "[6721]      5      2      3      6      3      3      4      5      6      3\n",
       "[6731]      4      4      4      2      2      3      3      9      4      3\n",
       "[6741]      2      3      3      6      6      5      5      1      3      2\n",
       "[6751]      2      2      2      2      4      5      4      6      2      1\n",
       "[6761]      3      2      5      2      3      3      2      5      7      5\n",
       "[6771]      5      3      2      1      6      4      3      9      3      2\n",
       "[6781]      2      8      4      3      1      5      4      3      7      4\n",
       "[6791]      5      1      3      2      3      2      2      1      5      1\n",
       "[6801]      2      3      2      2      2      2      1      3      3      2\n",
       "[6811]      1      2      4      8      2      3      5      3      5      3\n",
       "[6821]      2      2      5      9      2      2      5      2      7      2\n",
       "[6831]      3      4      3      1      2      5      1      4      5      5\n",
       "[6841]      3      3      3      5      4      2      4      1      2      4\n",
       "[6851]      6      7      4      3      4      2      3      3      2      5\n",
       "[6861]     11      8      3      2      2      5      3      2      9      2\n",
       "[6871]      9      3      1      5      3      2      3      6      1      5\n",
       "[6881]      5      9      3      5      8      4      2      3      3      8\n",
       "[6891]      7      3      4      4      2      2      5      3      7      6\n",
       "[6901]      7      5      4      2      5      1      2      2      2      3\n",
       "[6911]      2      3      4      2      1      6      4      5      3      2\n",
       "[6921]      7      1      5      2      7     12      3      4      3      7\n",
       "[6931]      1      1      2      2      2      3      2      2      4      2\n",
       "[6941]      5      4      3      5      4      5      2      2      3      7\n",
       "[6951]      3      2      3      4      5      2      5      1      1      3\n",
       "[6961]      2      3      5      3      5      2      2      9      3      5\n",
       "[6971]      2      2      2      4      2      2      4      2      9      5\n",
       "[6981]      4      3      5      1      4      4      2      5      5      2\n",
       "[6991]      3      5      3      7      5      4      4      4      2      3\n",
       "[7001]      2      4      7      2      1      2      2      2      3      1\n",
       "[7011]      5      2      1      3      3      2      3      3      7      3\n",
       "[7021]      1      3      9      6      9      6      4      2      5      3\n",
       "[7031]      2      3      3      3      3      3      2      2      3      2\n",
       "[7041]      3      2      5      4      2      2      1      4      3      2\n",
       "[7051]      5      2      1      4      5      3      9      7      3      2\n",
       "[7061]      2      3      3      2      3      7      6      2      9      1\n",
       "[7071]      2      2      1      5      4      2      5      7      9      4\n",
       "[7081]      3      3      5      2      9      5      2      3      4      1\n",
       "[7091]      3      3      2      5      6      6      2      5      9      6\n",
       "[7101]      3      2      3      2      6      3      9      2      2      4\n",
       "[7111]      2      2      5      2      6      2      2      1      3      2\n",
       "[7121]      1      7      2      3      3      3      3      5      4      4\n",
       "[7131]      7      3      4      2      2      3      5      2      4      3\n",
       "[7141]      4      5      5      5      1      3      1      3      3      3\n",
       "[7151]      2      2      2      7      6      5      1      4      1      2\n",
       "[7161]      4      3      5      8      3      2      4      3     10      3\n",
       "[7171]      2      3      5      5      3      8      3      2      3      3\n",
       "[7181]      3      2      5      9      2      3      4      2      4      3\n",
       "[7191]      3      4      8      6      4      2      5      2      2      2\n",
       "[7201]      1      7      5      3      2      2     11      2      4      2\n",
       "[7211]      3     12      3      3      5      4      3      2      4      2\n",
       "[7221]      3      3      3      3      7      4      5      5      6      3\n",
       "[7231]      2      2      4      8      2      2      3      3      7      7\n",
       "[7241]      7      6      2      9      7      5      3      5      8      2\n",
       "[7251]      3      4      3      3      5      4      2      6      5      7\n",
       "[7261]      1      7      5      4      7      2      3      4      2      8\n",
       "[7271]      2      4      2      3      5      7     10      2      3      7\n",
       "[7281]      2      5      3      5      2      4      1      3      3      9\n",
       "[7291]      2      9      2      7      1      2      6      5      4      2\n",
       "[7301]      6      3      5      2      2      3      4      2      3      3\n",
       "[7311]      5      2      2      8      1      3      1      3      7      5\n",
       "[7321]      5      3      2      2      3      5      1      2      4      7\n",
       "[7331]      6      1      7      2      3      2      2      1      3      2\n",
       "[7341]      2     13      3      6      6      4      1      1      3      6\n",
       "[7351]      5      7      8      5      5      8      1      2      6      3\n",
       "[7361]      3      3      3      3      8      2      2      7      3      2\n",
       "[7371]      2     11      3      7      1      3      4      6      3      3\n",
       "[7381]      5      5      2      3      2      3      6     14      3      2\n",
       "[7391]      5      3      5      3      5      2      3      6      9      4\n",
       "[7401]      1      7      4      5      3      2      3      5      8      1\n",
       "[7411]      2      1      2      1      2      5      3      5      1      5\n",
       "[7421]      5      2      3      4      3      2      2      3      2      2\n",
       "[7431]      4      3      3      5      3      6      5      5      5      5\n",
       "[7441]      2      3      2      3      1      2      1      5      5      3\n",
       "[7451]      5      5      6      2      4      2      2      1      7      9\n",
       "[7461]      4      2      9      2      8      2      8      4      3      2\n",
       "[7471]      4      2      5      4      9      2      2      2      4      4\n",
       "[7481]      1      1      4      7      1      5      5      9      4      2\n",
       "[7491]      6      6      3      5      2      2      3      4      4      3\n",
       "[7501]      3      3      2      1      2      4      2      2      2      9\n",
       "[7511]      5      5      7      5      2      5      4      5      1      2\n",
       "[7521]      2      2      6      2      7      5      6      3      6      3\n",
       "[7531]      3      3      4      2      5      3      2      2      1      8\n",
       "[7541]      8      2      6      6      5      6      7      5      1      3\n",
       "[7551]      3      6      3      4      7      5      6      3      3      3\n",
       "[7561]      6      1      4      2      4      1      3      4      9      4\n",
       "[7571]      3      5      4      1      2      4      2      1      3      8\n",
       "[7581]      3      3      2      7      5      3      4      3      3      7\n",
       "[7591]      9      2      3      3      7      4      3      2      3      5\n",
       "[7601]      5      6     10      2      3      2      9      2      4      7\n",
       "[7611]      3      2      1      2      3      9      2      5      1      5\n",
       "[7621]      5      4      3      1      5      9      6      2      5      5\n",
       "[7631]      7      7      8      1      1      1      3      3      7      2\n",
       "[7641]      6      6      4      4      5      3      2      2      4      9\n",
       "[7651]      3      3      2      4      4      4      2      4      4      5\n",
       "[7661]      3      7      5      5      4      1      9      3      6      3\n",
       "[7671]      2      1      3      5      4      3      3      4      3      4\n",
       "[7681]      2      6      1      3      9      1      9      1      8      3\n",
       "[7691]      3      2      6      4      7      5      4      2      1      3\n",
       "[7701]      6      2      2      3      4      3      3      2      3      3\n",
       "[7711]      5      3      2      3      6      3      5      2      4      3\n",
       "[7721]      2      2      3      1      1      2      3      3      4      3\n",
       "[7731]      4      4      2      4      3      3      4      9      5      2\n",
       "[7741]      1      2      4      2      3      3      2      6      3      2\n",
       "[7751]      2      3      2      2      2      7      5      4      3      3\n",
       "[7761]      2      2      1      9      3      5      5      3      5      2\n",
       "[7771]      2      2      5      3      3      1      3      3      3      4\n",
       "[7781]      4      3      2     10      2      2      1      3      3      8\n",
       "[7791]      3      5      2      5      2      4      5      3      1      3\n",
       "[7801]      3      2      4      4      1      2      2      7      3      2\n",
       "[7811]      1      3      3      6      2      2      3      6      3      8\n",
       "[7821]      6      9      3      3      5      1      4      3      3      3\n",
       "[7831]      3      3      2      5      2      2      4      2      2      3\n",
       "[7841]      4      2      3     11      4      5     12      2      3      3\n",
       "[7851]      2      2      2      2      4      4      2      5      3      4\n",
       "[7861]      4      2      2      3      4      2      6      3      2      2\n",
       "[7871]      4      2      4      2      2      6      1      2      4      2\n",
       "[7881]      6      6      8      2      7      3      5      1      5      9\n",
       "[7891]      2      5      3      3      5      2      8      7      6      5\n",
       "[7901]      2      1      5      2      2      1     10      2      3      8\n",
       "[7911]      3      2      2      2      5      3      4      1      2      2\n",
       "[7921]      2      3      5      3      4      7      3      1      3      6\n",
       "[7931]      3      3      5      2      3      2      3      9      3      8\n",
       "[7941]      2     10      9      7      2      5      3      5      6      6\n",
       "[7951]      3      2      4      4      2      4      5      4      5      3\n",
       "[7961]      1      5      8      4      4      8      4      3      1      1\n",
       "[7971]      4      3      2      2      3      3      3      3      3      1\n",
       "[7981]      2      4      5      5      3      5      5      4      3      1\n",
       "[7991]      2      4      2      3      6      6      5     12      7      4\n",
       "[8001]      4      6      7      2      3      2     12      4      3      5\n",
       "[8011]      6      7      5      8      1      3      6      9      1     10\n",
       "[8021]      2      3      5      5      1      2      1      1      4      6\n",
       "[8031]      3      5      3      2      9      2      6      3      3      6\n",
       "[8041]      6      2      4      1      9      5      3      3      7      5\n",
       "[8051]      1      6      3      1      5      2      9      5      3      2\n",
       "[8061]      5      2      4      3      2      3      2      3      6      5\n",
       "[8071]      5      4      4      5     14      2      3      1      3      8\n",
       "[8081]      6      3      5      7     10      5      3      4      2      9\n",
       "[8091]      7      2      5      3      4      2      5      5      1      3\n",
       "[8101]      3      2      7      7      6      1      6      4      4      6\n",
       "[8111]      2      5      4      2      5      3      1      5      4      2\n",
       "[8121]      3     11      3      4      2      3      2      3      5      2\n",
       "[8131]      2      4      3      3      3      7      7      9      8     10\n",
       "[8141]      4      3      3      4      4      6      2      4      7      2\n",
       "[8151]      2      2      3      4      2      2      2      5      3      5\n",
       "[8161]      2      6      2      6      7      3      3      7      7      2\n",
       "[8171]      3      7      1      6      4      4      6      5      2      4\n",
       "[8181]      8      5      3      1      3      1      4      9      3      1\n",
       "[8191]      6      4      7      3      2      2      4      5      3      5\n",
       "[8201]      1      5      2      3      4      2      1      1      6      4\n",
       "[8211]      2      5      3      4      1      1      2      3      3      2\n",
       "[8221]      3      4      2      6      2     10      1      2      2      3\n",
       "[8231]      3      7      5      2      2      4      5      2      1      2\n",
       "[8241]      4      2      3      8      3      3      5      2      2      2\n",
       "[8251]      2      5      2      1      4      8      3      5      6      9\n",
       "[8261]      1      4      3      4      3      7      2      1      4      4\n",
       "[8271]      2      8      4      1      7      9      3      2      3      3\n",
       "[8281]      3      3      2      2      8      3      6      5      7      6\n",
       "[8291]      2      1      3      4      2      9      2      2      3      3\n",
       "[8301]      2      5      3      2      4      5      7      2      9      3\n",
       "[8311]      3      4      7      3      2      7      3      1      8      1\n",
       "[8321]      2      2      2      5      5      3      4      7      3      1\n",
       "[8331]      4      1      5      3      4      9      2      4      5      6\n",
       "[8341]      5      3      7      5      3      3      5      1     10      5\n",
       "[8351]      1      2      4      5      5      2      3      7      2      6\n",
       "[8361]      2      2      5      3      2      4      4      2      5      3\n",
       "[8371]      2      1      3      1      6      6      1      1      3      7\n",
       "[8381]      3      2      4      3      2      3      1      5      2      6\n",
       "[8391]      2      2      3      5      3      3      7      5      2      1\n",
       "[8401]      5      3      2      4      4      5      2      7      5      4\n",
       "[8411]      4      7      4     10      3      3      5      3      1      4\n",
       "[8421]      2      3      5      2      5      8      2      2      6      5\n",
       "[8431]      2     10      4      2      5      2     11      2      4      2\n",
       "[8441]      3      4      2      1      3      4      4      2      3      8\n",
       "[8451]      1      5      4      3      5      2      3      3      3      3\n",
       "[8461]      5      3      2      3      4      3      3      2      6      4\n",
       "[8471]      2      3      1      1      4      2      1      4      2      2\n",
       "[8481]      2      3      2      5     10      2      2      3      5      8\n",
       "[8491]      7      3      8      3      1      3      3      3      2      6\n",
       "[8501]      2      2      3      2      4      9      5      3     11      1\n",
       "[8511]      2      2      2      4      3     12      2      6      1      3\n",
       "[8521]      3     14      1      7      2      6      3      2      2      2\n",
       "[8531]      4      2      7      3      2      3      4      5      3      2\n",
       "[8541]      5      2      7      2      1      4      2      3      4      4\n",
       "[8551]      3      4      3      8      7      7      9      3      9      3\n",
       "[8561]      3      2      5      3      6      3      4      6      7     13\n",
       "[8571]      2      3      5      2      3      4      1      2      2      1\n",
       "[8581]      3      2      2      5      2      7      5      5      2      2\n",
       "[8591]      3      2      3      3      4      2      1      4      3      3\n",
       "[8601]      2      1      7      2      3      5      2      2      4      2\n",
       "[8611]      2      5      2      3      2      3      2      3      7      4\n",
       "[8621]      5      2      4      6      5      3      3      5      2      2\n",
       "[8631]      4      5      6      3      2      5      5      7      5      3\n",
       "[8641]      5      6     11      1      7      1      3      2      5      3\n",
       "[8651]      5      3      2      2      4      2      1      2      1      6\n",
       "[8661]      5      4      6      7      5      5      5      4      1      4\n",
       "[8671]      3      2      2      3      3      6      1      5      8      5\n",
       "[8681]      7      5      3      2      7      6      2      5      2      3\n",
       "[8691]      2      2      5      5      3      1      3      4      2      8\n",
       "[8701]      8      1      5      2      8      1      2      2      4      3\n",
       "[8711]      3      3      3      6      5      1      4      2      8      3\n",
       "[8721]      2      9      2      7      6      4      3      3      2      3\n",
       "[8731]      7      3      3      3      5      4      3      5      4      2\n",
       "[8741]      5      3      1      3      4      3      2      2      2      3\n",
       "[8751]      2      4      3      6      3      2      2      8      3      3\n",
       "[8761]      1      8      1      2      2      2      3      5      4      3\n",
       "[8771]      4      4      3      6      2      2      5      8      3      3\n",
       "[8781]      2      6      4      3      2      5      3      4      3      2\n",
       "[8791]      9      7      2      5      5      4      2      2      5      5\n",
       "[8801]      2      2      2      3      3      3      2      3      5      5\n",
       "[8811]      4      3      5      3      2      6      4      2      6      4\n",
       "[8821]      2      2      2      2      3      3      5      7      2      2\n",
       "[8831]     10      2      2      1      2      4      3      5      3      2\n",
       "[8841]      3      3      2      5      3      3      5      2      1     10\n",
       "[8851]      2      2      4      5      3      3      6      2      5      1\n",
       "[8861]      3      4      4      4      6      3      5      2      2      5\n",
       "[8871]     12      4      2      2      5      2      1      4      3     11\n",
       "[8881]      3      7      2      3      4      3      8      2      9      3\n",
       "[8891]      7      2      9      2      3      3      3      4      3      2\n",
       "[8901]      3      4      3      2      1      3      9      7      8      3\n",
       "[8911]      3      9      2      2      6      4      4      2      6      2\n",
       "[8921]      2      3      3      4      4      3      3      5      4      2\n",
       "[8931]      3      5      3      2      3     14      5      2      5      2\n",
       "[8941]      3      7      3      3      3      3      3      5      1      6\n",
       "[8951]      2      3      7      5      4      2      3      2      5      5\n",
       "[8961]      5      4      2      3      5      2      1      7      1      9\n",
       "[8971]      2      2      1      7      7      2      1      2      2      1\n",
       "[8981]      2      3      4      5      2      3      5      2      2      2\n",
       "[8991]      7      5      2      7      5      5      2      2      7      5\n",
       "[9001]      3      1      3      6      8      6      1      2      2      1\n",
       "[9011]      4      2      7      5      5      2      1      3      3      2\n",
       "[9021]      6     13      3      1      3      4      3      3      3      2\n",
       "[9031]      4      4      2      2      4      4      4      2      3     13\n",
       "[9041]      1      4      3      3      2      5      5      5      3      3\n",
       "[9051]      2      2      4      2      2      2     11      7      3      7\n",
       "[9061]      4      4      6     13      3      4      2      2      3      3\n",
       "[9071]      3      2      2      5      6      3      4      3      4      1\n",
       "[9081]      6      3      2      3      5      2      2      5      3      5\n",
       "[9091]      8      3      6      2      6      2      7      5      7      2\n",
       "[9101]      3      3      2      5     10      2      3      2      7      2\n",
       "[9111]      5      2      4      3      5      2      2      3      4      7\n",
       "[9121]      5      7      1      9      3      4      2      3      7      3\n",
       "[9131]      2      2      3      5      3      1      3      2      5      7\n",
       "[9141]      2      4      2      9      5      3      2      6     13      4\n",
       "[9151]      5      2      2      7      2      6      2     13      9      3\n",
       "[9161]      5      7      3      3      2      4      1      3     14      2\n",
       "[9171]      2      1      3      3      3      3      3      2      1      3\n",
       "[9181]      3      3      4      2      1      1      5      2      4      6\n",
       "[9191]      2      2      7      2      7      4      2      5      6      1\n",
       "[9201]      1      1      3      5      8      3      8      3      1      1\n",
       "[9211]      3      3      2      3      7      5      1      2      7      3\n",
       "[9221]      3      4      4      6      2      4      3      7      4      3\n",
       "[9231]      9      6      9      3      4      7      3      1      2      7\n",
       "[9241]      3      3      6      1      2      5      3      1      1      7\n",
       "[9251]      8      2      5      2      1      3      2      3      3      2\n",
       "[9261]      3      3      3      5      3      7      2      1      3      7\n",
       "[9271]      6      3      4      3      7      6      2      4      7      2\n",
       "[9281]      2      5      4      2      3      1      3      3      6      1\n",
       "[9291]      3      3      1      6      3      4      2      4      3      2\n",
       "[9301]      1      2      3      3      1      5      2      2      4      6\n",
       "[9311]      8      2      4      7      2      3      4      1      2      2\n",
       "[9321]      4      3      4      8      2      3      4      2      1      4\n",
       "[9331]      2      3      4      4      3      2      5      1      6      3\n",
       "[9341]      5      3      7      5      5      1      2      5      8      2\n",
       "[9351]      4      3      2      3      3      2      2      5      3      1\n",
       "[9361]      7      6      7      3      4      2      2      6      2      3\n",
       "[9371]      4      3      5      7      6      2      3      2      2      3\n",
       "[9381]      1      2      1      5      4      8      4      1      3      1\n",
       "[9391]      5      1      8      5      2      2      6      1      9      6\n",
       "[9401]      4      2      2      6      5      2      2      9      1      1\n",
       "[9411]      5      1      5      2      2      3      3      2      3      2\n",
       "[9421]      6      6      5      3      3      6      5      5      8      5\n",
       "[9431]      1      2      2      7      3      4      2      2      4      2\n",
       "[9441]      2      5      2      2      4      3      6      5      4      2\n",
       "[9451]      9      3      6      3      2      1      3      5      3      1\n",
       "[9461]      3      6      2      4      6      2      6      2      2      2\n",
       "[9471]      2      1      2      5      2      7      2      3      5      3\n",
       "[9481]      5      2      2      6     10      9      3      3      2      7\n",
       "[9491]      8      3      9      7      2      6      1      1      3     10\n",
       "[9501]      3      3      9      1      7      2      2      5      3      6\n",
       "[9511]      9      3      1      5      6     14      3      3      3      4\n",
       "[9521]      2      3      3      3      5      5      3      6      2      2\n",
       "[9531]      2      2     14      7      2      2      3      2      5      2\n",
       "[9541]      7      3      5      2      3      2      2      2      2      3\n",
       "[9551]      3      6      4      7      5      2      7      2      5      5\n",
       "[9561]      2      3      3      2      2      7      5      2      4      6\n",
       "[9571]      2      2      1      5      3      1      2      5      3      1\n",
       "[9581]      5      5      6      1      4      1      5      4      4      3\n",
       "[9591]      9      5      5      2      2      3      2      3      3      1\n",
       "[9601]      8      5      5      3      4      4      3      6      3      4\n",
       "[9611]      9      4      2      1      7      2      2      3      3      5\n",
       "[9621]      6      2      4      2      3      3      2      3      7      2\n",
       "[9631]      3      6      8      3      7      9      2      4      2     13\n",
       "[9641]      5      5      6      2      7      2      2      4      3      8\n",
       "[9651]      9      2      6      2      2      3      1      4      4      5\n",
       "[9661]      9      2      3      3      2      3      3      7      3      3\n",
       "[9671]      7      5      2      5      1      4      6      3      1      2\n",
       "[9681]      9      3      6      8      2      1      6      9      5      4\n",
       "[9691]      4      3     11      6      2      4      5      4      3      4\n",
       "[9701]      3      2      1      5      3      3      3      3      2      3\n",
       "[9711]      2      2      6      5      2      2      4      5      5      2\n",
       "[9721]      2      3      3     13      2      3      7      5      2      2\n",
       "[9731]      5      8     13      2      1      1      2      2      6      5\n",
       "[9741]      3      5      5      3      4      2      2      2      4      2\n",
       "[9751]      2      3      1      2      2      3      2      5      4      5\n",
       "[9761]      2      3      2      2      5      2      1      5      6      5\n",
       "[9771]      4      2      5      1      8      3      4      9      5      2\n",
       "[9781]      3      2      5      1      2      3      5      5      3      1\n",
       "[9791]      2      6      2      1      3      3      2      2      4      2\n",
       "[9801]      3      7      2      1      1      2      8      4      2      5\n",
       "[9811]      4      4      3      5      5      7      4      7      2      3\n",
       "[9821]     10      2      3      3      4      3      4      2      3      3\n",
       "[9831]      4      7      1      7      4      2      5      2      1      3\n",
       "[9841]      8      2      4      4      7      3      5      5      5      2\n",
       "[9851]      2      3      2      5      4      2      6      8      5      2\n",
       "[9861]      4      2      4      1      4      2      7      3      2      2\n",
       "[9871]      3      2      2      1      2      2      4      5      3      7\n",
       "[9881]      3      3     13      2      3      2      3      2      1      3\n",
       "[9891]      2      7      5      4      5     11      2      3      2      1\n",
       "[9901]      3      3      1      3      2      7      3      3      5      3\n",
       "[9911]      2      7      3      3      2      5      1      3      1      5\n",
       "[9921]      7      3      4      3      1      8      2      4      3      5\n",
       "[9931]      2      4      7      3      3      3      3      2      5      4\n",
       "[9941]      7     14      9      5      3      1      3      6      8      3\n",
       "[9951]      1      2      2      1      3      2      5      4      2      2\n",
       "[9961]      1      2      4      2      1      1      7      5      2      7\n",
       "[9971]      2      5      2      5      7      2      2      7      4     14\n",
       "[9981]      1      5      7      2     10      4      1      1      5      3\n",
       "[9991]      2      2      4      2"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "round(superStore$Sales)\n",
    "round(superStore$Quantity)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74ba27fc",
   "metadata": {},
   "source": [
    "# 3 Conformity"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b86fd9d1",
   "metadata": {},
   "source": [
    "By looking at the structure of the variables we can see that the factors having right design. \n",
    "The data type for every factor is underneath where postal code, sales, quantity, discount and profit\n",
    "are numeric while the other factors are character factors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "132e6f22",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t9994 obs. of  20 variables:\n",
      " $ Order.ID     : chr  \"CA-2016-152156\" \"CA-2016-152156\" \"CA-2016-138688\" \"US-2015-108966\" ...\n",
      " $ Order.Date   : chr  \"11/08/2016\" \"11/08/2016\" \"06/12/2016\" \"10/11/2015\" ...\n",
      " $ Ship.Date    : chr  \"11/11/2016\" \"11/11/2016\" \"6/16/2016\" \"10/18/2015\" ...\n",
      " $ Ship.Mode    : chr  \"Second Class\" \"Second Class\" \"second class\" \"Standard Class\" ...\n",
      " $ Customer.ID  : chr  \"CG-12520\" \"CG-12520\" \"DV-13045\" \"SO-20335\" ...\n",
      " $ Customer.Name: chr  \"Claire Gute\" \"Claire Gute\" \"Darrin Van Huff\" \"Sean O'Donnell\" ...\n",
      " $ Segment      : chr  \"Consumer\" \"Consumer\" \"Corporate\" \"Consumer\" ...\n",
      " $ Country      : chr  \"United States\" \"United States\" \"United States\" \"United States\" ...\n",
      " $ City         : chr  \"Henderson\" \"Henderson\" \"Los Angeles\" \"Fort Lauderdale\" ...\n",
      " $ State        : chr  \"Kentucky\" \"Kentucky\" \"California\" \"Florida\" ...\n",
      " $ Postal.Code  : int  42420 42420 90036 33311 33311 90032 90032 90032 90032 90032 ...\n",
      " $ Region       : chr  \"South\" \"South\" \"West\" \"South\" ...\n",
      " $ Product.ID   : chr  \"FUR-BO-10001798\" \"FUR-CH-10000454\" \"OFF-LA-10000240\" \"FUR-TA-10000577\" ...\n",
      " $ Category     : chr  \"Furniture\" \"Furniture\" \"Office Supplies\" \"Furniture\" ...\n",
      " $ Sub.Category : chr  \"Bookcases\" \"Chairs\" \"Labels\" \"Tables\" ...\n",
      " $ Product.Name : chr  \"Bush Somerset Collection Bookcase\" \"Hon Deluxe Fabric Upholstered Stacking Chairs, Rounded Back\" \"Self-Adhesive Address Labels for Typewriters by Universal\" \"Bretford CR4500 Series Slim Rectangular Table\" ...\n",
      " $ Sales        : num  262 731.9 14.6 957.6 22.4 ...\n",
      " $ Quantity     : int  2 3 2 5 2 7 4 6 3 5 ...\n",
      " $ Discount     : num  0 0 0 0.45 0.2 0 0 0.2 0.2 0 ...\n",
      " $ Profit       : num  41.91 219.58 6.87 -383.03 2.52 ...\n"
     ]
    }
   ],
   "source": [
    "str(superStore)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42c11b20",
   "metadata": {},
   "source": [
    "# 4 Consistency"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b614a46a",
   "metadata": {},
   "source": [
    "The values for profits have a major issue in consistency. The profits are not steady under one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c872d51b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "a flextable object.\n",
       "col_keys: `Order.ID`, `Order.Date`, `Ship.Date`, `Ship.Mode`, `Customer.ID`, `Customer.Name`, `Segment`, `Country`, `City`, `State`, `Postal.Code`, `Region`, `Product.ID`, `Category`, `Sub.Category`, `Product.Name`, `Sales`, `Quantity`, `Discount`, `Profit` \n",
       "header has 1 row(s) \n",
       "body has 1871 row(s) \n",
       "original dataset sample: \n",
       "        Order.ID Order.Date  Ship.Date      Ship.Mode Customer.ID\n",
       "1 US-2015-108966 10/11/2015 10/18/2015 Standard Class    SO-20335\n",
       "2 US-2015-118983 11/22/2015 11/26/2015 Standard Class    HP-14815\n",
       "3 US-2015-118983 11/22/2015 11/26/2015 Standard Class    HP-14815\n",
       "4 US-2017-156909  7/16/2017  7/18/2017   Second Class    SF-20065\n",
       "5 US-2015-150630  9/17/2015  9/21/2015 Standard Class    TB-21520\n",
       "    Customer.Name     Segment       Country            City        State\n",
       "1  Sean O'Donnell    Consumer United States Fort Lauderdale      Florida\n",
       "2   Harold Pawlan Home Office United States      Fort Worth        Texas\n",
       "3   Harold Pawlan Home Office United States      Fort Worth        Texas\n",
       "4 Sandra Flanagan    Consumer United States    Philadelphia Pennsylvania\n",
       "5 Tracy Blumstein    Consumer United States    Philadelphia Pennsylvania\n",
       "  Postal.Code  Region      Product.ID        Category Sub.Category\n",
       "1       33311   South FUR-TA-10000577       Furniture       Tables\n",
       "2       76106 Central OFF-AP-10002311 Office Supplies   Appliances\n",
       "3       76106 Central OFF-BI-10000756 Office Supplies      Binders\n",
       "4       19140    East FUR-CH-10002774       Furniture       Chairs\n",
       "5       19140    East FUR-BO-10004834       Furniture    Bookcases\n",
       "                                                                  Product.Name\n",
       "1                                Bretford CR4500 Series Slim Rectangular Table\n",
       "2 Holmes Replacement Filter for HEPA Air Cleaner, Very Large Room, HEPA Filter\n",
       "3                             Storex DuraTech Recycled Plastic Frosted Binders\n",
       "4                                           Global Deluxe Stacking Chair, Gray\n",
       "5                Riverside Palais Royal Lawyers Bookcase, Royale Cherry Finish\n",
       "      Sales Quantity Discount     Profit\n",
       "1  957.5775        5     0.45  -383.0310\n",
       "2   68.8100        5     0.80  -123.8580\n",
       "3    2.5440        3     0.80    -3.8160\n",
       "4   71.3720        2     0.30    -1.0196\n",
       "5 3083.4300        7     0.50 -1665.0522"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flextable(filter(superStore, Profit < 0))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da581639",
   "metadata": {},
   "source": [
    "We can create a subset of the data by removing these inconsistent number of profits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "689f9e9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "superStore <- subset(superStore, Profit >= 0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22f38c9d",
   "metadata": {},
   "source": [
    "# 5 Accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31627c05",
   "metadata": {},
   "source": [
    "The data in this dataset is accurate as it matches the various categories used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d1211399",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "a flextable object.\n",
       "col_keys: `Order.ID`, `Order.Date`, `Ship.Date`, `Ship.Mode`, `Customer.ID`, `Customer.Name`, `Segment`, `Country`, `City`, `State`, `Postal.Code`, `Region`, `Product.ID`, `Category`, `Sub.Category`, `Product.Name`, `Sales`, `Quantity`, `Discount`, `Profit` \n",
       "header has 1 row(s) \n",
       "body has 6 row(s) \n",
       "original dataset sample: \n",
       "        Order.ID Order.Date  Ship.Date      Ship.Mode Customer.ID\n",
       "1 US-2017-100930 04/07/2017 04/12/2017 Standard Class    CS-12400\n",
       "2 CA-2014-136567 12/20/2014 12/21/2014    First Class    PS-19045\n",
       "3 CA-2016-144344 10/28/2016 10/28/2016       Same Day    PG-18820\n",
       "4 CA-2014-104283  6/27/2014 07/01/2014 Standard Class    LM-17065\n",
       "5 US-2014-155502  1/26/2014  1/31/2014 Standard Class    SD-20485\n",
       "       Customer.Name     Segment       Country          City       State\n",
       "1 Christopher Schild Home Office United States         Tampa     Florida\n",
       "2    Penelope Sewall Home Office United States  Harrisonburg    Virginia\n",
       "3    Patrick Gardner    Consumer United States Boynton Beach     Florida\n",
       "4    Liz MacKendrick    Consumer United States     Southaven Mississippi\n",
       "5    Shirley Daniels Home Office United States    Alexandria    Virginia\n",
       "  Postal.Code Region      Product.ID        Category Sub.Category\n",
       "1       33614  South FUR-FU-10004017       Furniture  Furnishings\n",
       "2       22801  South OFF-ST-10004337 Office Supplies      Storage\n",
       "3       33437  South FUR-FU-10003268       Furniture  Furnishings\n",
       "4       38671  South OFF-ST-10004337 Office Supplies      Storage\n",
       "5       22304  South OFF-ST-10004337 Office Supplies      Storage\n",
       "                                                                             Product.Name\n",
       "1 Tenex Contemporary Contur Chairmats for Low and Medium Pile Carpet, Computer, 39\" x 49\"\n",
       "2                                                     SAFCO Commercial Wire Shelving, 72h\n",
       "3                                   Eldon Radial Chair Mat for Low to Medium Pile Carpets\n",
       "4                                                     SAFCO Commercial Wire Shelving, 72h\n",
       "5                                                     SAFCO Commercial Wire Shelving, 72h\n",
       "    Sales Quantity Discount Profit\n",
       "1 258.072        3      0.2      0\n",
       "2 122.480        2      0.0      0\n",
       "3  63.968        2      0.2      0\n",
       "4 306.200        5      0.0      0\n",
       "5 489.920        8      0.0      0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flextable(head(filter(superStore, Region == \"South\")))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e700847e",
   "metadata": {},
   "source": [
    "# 6 Duplicates"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bf1deec",
   "metadata": {},
   "source": [
    "There are no duplicate entries in the data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "c23a997c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 0 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>duplicate</th></tr>\n",
       "\t<tr><th scope=col>&lt;lgl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 0 × 1\n",
       "\\begin{tabular}{l}\n",
       " duplicate\\\\\n",
       " <lgl>\\\\\n",
       "\\hline\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 0 × 1\n",
       "\n",
       "| duplicate &lt;lgl&gt; |\n",
       "|---|\n",
       "\n"
      ],
      "text/plain": [
       "     duplicate"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "superStore %>%\n",
    "transmute(duplicate = duplicated(.)) %>%\n",
    "filter(duplicate == \"TRUE\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c5051a0",
   "metadata": {},
   "source": [
    "# 7 Intergrity"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c2f5f1e",
   "metadata": {},
   "source": [
    "The data has no intergral issues.When the integrity of data is secure, the information stored will\n",
    "remain complete, accurate, and reliable no matter how long it’s stored or how often it’s accessed."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cc2873d",
   "metadata": {},
   "source": [
    "# 8 Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ab92de5",
   "metadata": {},
   "source": [
    "It is exceptionally vital to clean the data set before examination and perceptions. The super store data set \n",
    "was cleaned by utilizing six layered information quality ascribes. The data set was found have missing qualities\n",
    "and was cleaned. A few issues were found as to ship mode, segment and region variable having two qualities for\n",
    "a similar classification and were rectified.\n",
    "The information was conformant and put away in appropriate configuration. There was a serious issue in \n",
    "profits which were conflicting under 0, and were eliminated. No copied sections were found in the dataset.\n",
    "There is need to appropriately investigate the informational index and may address the class or may erase these columns\n",
    "to abstain from any deceptive data during information examination and representations."
   ]
  }
 ],
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