CLUSTERING_ASSIGHNMENT_Airlines.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Perform clustering (hierarchical,K means clustering and DBSCAN) for the airlines data to obtain optimum number of clusters. Draw the inferences from the clusters obtained.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.cluster.hierarchy as sch\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sn\n",
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1 = pd.read_excel('EastWestAirlines.xlsx',1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID#</th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
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       "      <td>1</td>\n",
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       "      <td>4</td>\n",
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       "      <td>1</td>\n",
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       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>16420</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6942</td>\n",
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       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>84914</td>\n",
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       "      <td>3</td>\n",
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       "      <td>6994</td>\n",
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       "      <td>8</td>\n",
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       "      <td>9</td>\n",
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       "      <td>3</td>\n",
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       "      <td>3850</td>\n",
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       "      <td>6948</td>\n",
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       "      <td>3</td>\n",
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       "      <td>1</td>\n",
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       "      <td>2</td>\n",
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       "      <td>1</td>\n",
       "      <td>11150</td>\n",
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       "      <td>6924</td>\n",
       "      <td>0</td>\n",
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       "      <td>14</td>\n",
       "      <td>43097</td>\n",
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       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3258</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>15</td>\n",
       "      <td>17648</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
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       "      <td>1</td>\n",
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       "      <th>16</th>\n",
       "      <td>17</td>\n",
       "      <td>51890</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>48963</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6910</td>\n",
       "      <td>1</td>\n",
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       "      <th>17</th>\n",
       "      <td>18</td>\n",
       "      <td>13958</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4291</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6905</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>19</td>\n",
       "      <td>91473</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27408</td>\n",
       "      <td>17</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6903</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>20</td>\n",
       "      <td>23354</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>10447</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>21</td>\n",
       "      <td>120576</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>58831</td>\n",
       "      <td>23</td>\n",
       "      <td>250</td>\n",
       "      <td>2</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
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       "      <th>21</th>\n",
       "      <td>22</td>\n",
       "      <td>185681</td>\n",
       "      <td>2024</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>13300</td>\n",
       "      <td>16</td>\n",
       "      <td>1800</td>\n",
       "      <td>9</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
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       "      <th>22</th>\n",
       "      <td>23</td>\n",
       "      <td>20584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>6884</td>\n",
       "      <td>0</td>\n",
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       "      <td>24</td>\n",
       "      <td>66275</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2533</td>\n",
       "      <td>11</td>\n",
       "      <td>150</td>\n",
       "      <td>1</td>\n",
       "      <td>6884</td>\n",
       "      <td>0</td>\n",
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       "      <td>25</td>\n",
       "      <td>205651</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4025</td>\n",
       "      <td>21</td>\n",
       "      <td>700</td>\n",
       "      <td>4</td>\n",
       "      <td>7932</td>\n",
       "      <td>0</td>\n",
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       "      <th>25</th>\n",
       "      <td>26</td>\n",
       "      <td>20726</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1375</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7924</td>\n",
       "      <td>0</td>\n",
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       "      <th>26</th>\n",
       "      <td>27</td>\n",
       "      <td>18521</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>7917</td>\n",
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       "      <th>27</th>\n",
       "      <td>28</td>\n",
       "      <td>8828</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7914</td>\n",
       "      <td>0</td>\n",
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       "      <th>28</th>\n",
       "      <td>29</td>\n",
       "      <td>59763</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>33772</td>\n",
       "      <td>20</td>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>7907</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>30</td>\n",
       "      <td>19221</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4655</td>\n",
       "      <td>8</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>7896</td>\n",
       "      <td>1</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3969</th>\n",
       "      <td>3992</td>\n",
       "      <td>12532</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2069</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1445</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>3970</th>\n",
       "      <td>3993</td>\n",
       "      <td>52584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>3971</th>\n",
       "      <td>3994</td>\n",
       "      <td>20954</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>375</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1438</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>3972</th>\n",
       "      <td>3995</td>\n",
       "      <td>35185</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5957</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>0</td>\n",
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       "      <th>3973</th>\n",
       "      <td>3996</td>\n",
       "      <td>72297</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>16241</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1587</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3974</th>\n",
       "      <td>3997</td>\n",
       "      <td>58387</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14581</td>\n",
       "      <td>39</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1435</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3975</th>\n",
       "      <td>3998</td>\n",
       "      <td>9128</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1424</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3976</th>\n",
       "      <td>3999</td>\n",
       "      <td>37520</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19924</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1432</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3977</th>\n",
       "      <td>4000</td>\n",
       "      <td>9399</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1430</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3978</th>\n",
       "      <td>4001</td>\n",
       "      <td>10071</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27701</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1421</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3979</th>\n",
       "      <td>4002</td>\n",
       "      <td>57793</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>20959</td>\n",
       "      <td>15</td>\n",
       "      <td>1198</td>\n",
       "      <td>3</td>\n",
       "      <td>1424</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3980</th>\n",
       "      <td>4003</td>\n",
       "      <td>28867</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19169</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3981</th>\n",
       "      <td>4004</td>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1423</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3982</th>\n",
       "      <td>4005</td>\n",
       "      <td>11463</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>339</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3983</th>\n",
       "      <td>4006</td>\n",
       "      <td>26173</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>305</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3984</th>\n",
       "      <td>4007</td>\n",
       "      <td>404</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>550</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3985</th>\n",
       "      <td>4008</td>\n",
       "      <td>59017</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>34746</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3986</th>\n",
       "      <td>4009</td>\n",
       "      <td>34235</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>18910</td>\n",
       "      <td>7</td>\n",
       "      <td>250</td>\n",
       "      <td>1</td>\n",
       "      <td>1415</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3987</th>\n",
       "      <td>4010</td>\n",
       "      <td>11933</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>249</td>\n",
       "      <td>3</td>\n",
       "      <td>79</td>\n",
       "      <td>1</td>\n",
       "      <td>1412</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3988</th>\n",
       "      <td>4011</td>\n",
       "      <td>5000</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1412</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3989</th>\n",
       "      <td>4012</td>\n",
       "      <td>2622</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1625</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1404</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3990</th>\n",
       "      <td>4013</td>\n",
       "      <td>11310</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5021</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1409</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3991</th>\n",
       "      <td>4014</td>\n",
       "      <td>39142</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14981</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1408</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3992</th>\n",
       "      <td>4015</td>\n",
       "      <td>11181</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>929</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1407</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3993</th>\n",
       "      <td>4016</td>\n",
       "      <td>3974</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>365</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1397</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3994</th>\n",
       "      <td>4017</td>\n",
       "      <td>18476</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>8525</td>\n",
       "      <td>4</td>\n",
       "      <td>200</td>\n",
       "      <td>1</td>\n",
       "      <td>1403</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3995</th>\n",
       "      <td>4018</td>\n",
       "      <td>64385</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>981</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1395</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3996</th>\n",
       "      <td>4019</td>\n",
       "      <td>73597</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>25447</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1402</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3997</th>\n",
       "      <td>4020</td>\n",
       "      <td>54899</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1401</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3998</th>\n",
       "      <td>4021</td>\n",
       "      <td>3016</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1398</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3999 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       ID#  Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0        1    28143           0          1          1          1          174   \n",
       "1        2    19244           0          1          1          1          215   \n",
       "2        3    41354           0          1          1          1         4123   \n",
       "3        4    14776           0          1          1          1          500   \n",
       "4        5    97752           0          4          1          1        43300   \n",
       "5        6    16420           0          1          1          1            0   \n",
       "6        7    84914           0          3          1          1        27482   \n",
       "7        8    20856           0          1          1          1         5250   \n",
       "8        9   443003           0          3          2          1         1753   \n",
       "9       10   104860           0          3          1          1        28426   \n",
       "10      11    40091           0          2          1          1         7278   \n",
       "11      12    96522           0          5          1          1        61105   \n",
       "12      13    43382           0          2          1          1        11150   \n",
       "13      14    43097           0          1          1          1         3258   \n",
       "14      15    17648           0          1          1          1            0   \n",
       "15      16    28495           0          4          1          1        49442   \n",
       "16      17    51890           0          4          1          1        48963   \n",
       "17      18    13958           0          1          1          1         4291   \n",
       "18      19    91473           0          3          1          1        27408   \n",
       "19      20    23354           0          3          1          1        10447   \n",
       "20      21   120576           0          5          1          1        58831   \n",
       "21      22   185681        2024          1          1          1        13300   \n",
       "22      23    20584           0          1          1          1         3450   \n",
       "23      24    66275           0          1          1          1         2533   \n",
       "24      25   205651         500          1          1          1         4025   \n",
       "25      26    20726           0          1          1          1         1375   \n",
       "26      27    18521           0          1          1          1         1227   \n",
       "27      28     8828           0          1          1          1            0   \n",
       "28      29    59763           0          3          1          1        33772   \n",
       "29      30    19221           0          1          1          1         4655   \n",
       "...    ...      ...         ...        ...        ...        ...          ...   \n",
       "3969  3992    12532           0          1          1          1         2069   \n",
       "3970  3993    52584           0          1          1          1         2500   \n",
       "3971  3994    20954           0          1          1          1          375   \n",
       "3972  3995    35185           0          2          1          1         5957   \n",
       "3973  3996    72297           0          3          1          1        16241   \n",
       "3974  3997    58387           0          3          1          1        14581   \n",
       "3975  3998     9128           0          1          1          1            0   \n",
       "3976  3999    37520           0          1          1          1        19924   \n",
       "3977  4000     9399           0          1          1          1         2125   \n",
       "3978  4001    10071           0          2          1          1        27701   \n",
       "3979  4002    57793           0          3          1          1        20959   \n",
       "3980  4003    28867           0          3          1          1        19169   \n",
       "3981  4004     1010           0          1          1          1            0   \n",
       "3982  4005    11463           0          1          1          1          339   \n",
       "3983  4006    26173           0          1          1          1          305   \n",
       "3984  4007      404           0          1          1          1          550   \n",
       "3985  4008    59017           0          4          1          1        34746   \n",
       "3986  4009    34235           0          1          1          1        18910   \n",
       "3987  4010    11933           0          1          1          1          249   \n",
       "3988  4011     5000           0          1          1          1         2125   \n",
       "3989  4012     2622           0          1          1          1         1625   \n",
       "3990  4013    11310           0          1          1          1         5021   \n",
       "3991  4014    39142           0          3          1          1        14981   \n",
       "3992  4015    11181           0          1          1          1          929   \n",
       "3993  4016     3974           0          1          1          1          365   \n",
       "3994  4017    18476           0          1          1          1         8525   \n",
       "3995  4018    64385           0          1          1          1          981   \n",
       "3996  4019    73597           0          3          1          1        25447   \n",
       "3997  4020    54899           0          1          1          1          500   \n",
       "3998  4021     3016           0          1          1          1            0   \n",
       "\n",
       "      Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \\\n",
       "0               1                  0                0               7000   \n",
       "1               2                  0                0               6968   \n",
       "2               4                  0                0               7034   \n",
       "3               1                  0                0               6952   \n",
       "4              26               2077                4               6935   \n",
       "5               0                  0                0               6942   \n",
       "6              25                  0                0               6994   \n",
       "7               4                250                1               6938   \n",
       "8              43               3850               12               6948   \n",
       "9              28               1150                3               6931   \n",
       "10             10                  0                0               6959   \n",
       "11             19                  0                0               6924   \n",
       "12             20                  0                0               6924   \n",
       "13              6                  0                0               6918   \n",
       "14              0                  0                0               6912   \n",
       "15             15                  0                0               6912   \n",
       "16             16                  0                0               6910   \n",
       "17              5                  0                0               6905   \n",
       "18             17                  0                0               6903   \n",
       "19              5                  0                0               6896   \n",
       "20             23                250                2               6896   \n",
       "21             16               1800                9               6896   \n",
       "22             11               3450               11               6884   \n",
       "23             11                150                1               6884   \n",
       "24             21                700                4               7932   \n",
       "25              4                  0                0               7924   \n",
       "26              2               1227                2               7917   \n",
       "27              0                  0                0               7914   \n",
       "28             20                100                1               7907   \n",
       "29              8                500                1               7896   \n",
       "...           ...                ...              ...                ...   \n",
       "3969            9                  0                0               1445   \n",
       "3970            1                  0                0               1439   \n",
       "3971            3                  0                0               1438   \n",
       "3972            7                  0                0               1439   \n",
       "3973           16                  0                0               1587   \n",
       "3974           39                  0                0               1435   \n",
       "3975            0                  0                0               1424   \n",
       "3976            6                  0                0               1432   \n",
       "3977           10                  0                0               1430   \n",
       "3978           16                  0                0               1421   \n",
       "3979           15               1198                3               1424   \n",
       "3980           28                  0                0               1425   \n",
       "3981            0                  0                0               1423   \n",
       "3982            4                  0                0               1425   \n",
       "3983            1                  0                0               1418   \n",
       "3984            3                  0                0               1418   \n",
       "3985           25                  0                0               1418   \n",
       "3986            7                250                1               1415   \n",
       "3987            3                 79                1               1412   \n",
       "3988            3                  0                0               1412   \n",
       "3989            6                  0                0               1404   \n",
       "3990            2                  0                0               1409   \n",
       "3991           28                  0                0               1408   \n",
       "3992           12                  0                0               1407   \n",
       "3993            3                  0                0               1397   \n",
       "3994            4                200                1               1403   \n",
       "3995            5                  0                0               1395   \n",
       "3996            8                  0                0               1402   \n",
       "3997            1                500                1               1401   \n",
       "3998            0                  0                0               1398   \n",
       "\n",
       "      Award?  \n",
       "0          0  \n",
       "1          0  \n",
       "2          0  \n",
       "3          0  \n",
       "4          1  \n",
       "5          0  \n",
       "6          0  \n",
       "7          1  \n",
       "8          1  \n",
       "9          1  \n",
       "10         0  \n",
       "11         1  \n",
       "12         0  \n",
       "13         0  \n",
       "14         0  \n",
       "15         1  \n",
       "16         1  \n",
       "17         1  \n",
       "18         1  \n",
       "19         1  \n",
       "20         1  \n",
       "21         1  \n",
       "22         0  \n",
       "23         0  \n",
       "24         0  \n",
       "25         0  \n",
       "26         0  \n",
       "27         0  \n",
       "28         1  \n",
       "29         1  \n",
       "...      ...  \n",
       "3969       0  \n",
       "3970       0  \n",
       "3971       0  \n",
       "3972       0  \n",
       "3973       1  \n",
       "3974       0  \n",
       "3975       0  \n",
       "3976       0  \n",
       "3977       0  \n",
       "3978       1  \n",
       "3979       1  \n",
       "3980       0  \n",
       "3981       0  \n",
       "3982       0  \n",
       "3983       0  \n",
       "3984       0  \n",
       "3985       0  \n",
       "3986       0  \n",
       "3987       1  \n",
       "3988       0  \n",
       "3989       1  \n",
       "3990       0  \n",
       "3991       0  \n",
       "3992       0  \n",
       "3993       0  \n",
       "3994       1  \n",
       "3995       1  \n",
       "3996       1  \n",
       "3997       0  \n",
       "3998       0  \n",
       "\n",
       "[3999 rows x 12 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 3999 entries, 0 to 3998\n",
      "Data columns (total 12 columns):\n",
      "ID#                  3999 non-null int64\n",
      "Balance              3999 non-null int64\n",
      "Qual_miles           3999 non-null int64\n",
      "cc1_miles            3999 non-null int64\n",
      "cc2_miles            3999 non-null int64\n",
      "cc3_miles            3999 non-null int64\n",
      "Bonus_miles          3999 non-null int64\n",
      "Bonus_trans          3999 non-null int64\n",
      "Flight_miles_12mo    3999 non-null int64\n",
      "Flight_trans_12      3999 non-null int64\n",
      "Days_since_enroll    3999 non-null int64\n",
      "Award?               3999 non-null int64\n",
      "dtypes: int64(12)\n",
      "memory usage: 375.0 KB\n"
     ]
    }
   ],
   "source": [
    "d1.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1 = d1.rename({'ID#':'ID','Award?':'Award'},axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID</th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "      <th>Award</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>28143</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>174</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>19244</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>215</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6968</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>41354</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4123</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7034</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>14776</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6952</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>97752</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>43300</td>\n",
       "      <td>26</td>\n",
       "      <td>2077</td>\n",
       "      <td>4</td>\n",
       "      <td>6935</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>16420</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6942</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>84914</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27482</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6994</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>20856</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5250</td>\n",
       "      <td>4</td>\n",
       "      <td>250</td>\n",
       "      <td>1</td>\n",
       "      <td>6938</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9</td>\n",
       "      <td>443003</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1753</td>\n",
       "      <td>43</td>\n",
       "      <td>3850</td>\n",
       "      <td>12</td>\n",
       "      <td>6948</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10</td>\n",
       "      <td>104860</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>28426</td>\n",
       "      <td>28</td>\n",
       "      <td>1150</td>\n",
       "      <td>3</td>\n",
       "      <td>6931</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11</td>\n",
       "      <td>40091</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>7278</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6959</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>12</td>\n",
       "      <td>96522</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>61105</td>\n",
       "      <td>19</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6924</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>13</td>\n",
       "      <td>43382</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>11150</td>\n",
       "      <td>20</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6924</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14</td>\n",
       "      <td>43097</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3258</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6918</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>15</td>\n",
       "      <td>17648</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6912</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16</td>\n",
       "      <td>28495</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>49442</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6912</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>17</td>\n",
       "      <td>51890</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>48963</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6910</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>18</td>\n",
       "      <td>13958</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4291</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6905</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>19</td>\n",
       "      <td>91473</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27408</td>\n",
       "      <td>17</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6903</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>20</td>\n",
       "      <td>23354</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>10447</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>21</td>\n",
       "      <td>120576</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>58831</td>\n",
       "      <td>23</td>\n",
       "      <td>250</td>\n",
       "      <td>2</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>22</td>\n",
       "      <td>185681</td>\n",
       "      <td>2024</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>13300</td>\n",
       "      <td>16</td>\n",
       "      <td>1800</td>\n",
       "      <td>9</td>\n",
       "      <td>6896</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>23</td>\n",
       "      <td>20584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>6884</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>24</td>\n",
       "      <td>66275</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2533</td>\n",
       "      <td>11</td>\n",
       "      <td>150</td>\n",
       "      <td>1</td>\n",
       "      <td>6884</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>25</td>\n",
       "      <td>205651</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4025</td>\n",
       "      <td>21</td>\n",
       "      <td>700</td>\n",
       "      <td>4</td>\n",
       "      <td>7932</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>26</td>\n",
       "      <td>20726</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1375</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7924</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>27</td>\n",
       "      <td>18521</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>7917</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>28</td>\n",
       "      <td>8828</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7914</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>29</td>\n",
       "      <td>59763</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>33772</td>\n",
       "      <td>20</td>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>7907</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>30</td>\n",
       "      <td>19221</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4655</td>\n",
       "      <td>8</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>7896</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3969</th>\n",
       "      <td>3992</td>\n",
       "      <td>12532</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2069</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1445</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3970</th>\n",
       "      <td>3993</td>\n",
       "      <td>52584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3971</th>\n",
       "      <td>3994</td>\n",
       "      <td>20954</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>375</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1438</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3972</th>\n",
       "      <td>3995</td>\n",
       "      <td>35185</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5957</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3973</th>\n",
       "      <td>3996</td>\n",
       "      <td>72297</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>16241</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1587</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3974</th>\n",
       "      <td>3997</td>\n",
       "      <td>58387</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14581</td>\n",
       "      <td>39</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1435</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3975</th>\n",
       "      <td>3998</td>\n",
       "      <td>9128</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1424</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3976</th>\n",
       "      <td>3999</td>\n",
       "      <td>37520</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19924</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1432</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3977</th>\n",
       "      <td>4000</td>\n",
       "      <td>9399</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1430</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3978</th>\n",
       "      <td>4001</td>\n",
       "      <td>10071</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27701</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1421</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3979</th>\n",
       "      <td>4002</td>\n",
       "      <td>57793</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>20959</td>\n",
       "      <td>15</td>\n",
       "      <td>1198</td>\n",
       "      <td>3</td>\n",
       "      <td>1424</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3980</th>\n",
       "      <td>4003</td>\n",
       "      <td>28867</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19169</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3981</th>\n",
       "      <td>4004</td>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1423</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3982</th>\n",
       "      <td>4005</td>\n",
       "      <td>11463</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>339</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3983</th>\n",
       "      <td>4006</td>\n",
       "      <td>26173</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>305</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3984</th>\n",
       "      <td>4007</td>\n",
       "      <td>404</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>550</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3985</th>\n",
       "      <td>4008</td>\n",
       "      <td>59017</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>34746</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3986</th>\n",
       "      <td>4009</td>\n",
       "      <td>34235</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>18910</td>\n",
       "      <td>7</td>\n",
       "      <td>250</td>\n",
       "      <td>1</td>\n",
       "      <td>1415</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3987</th>\n",
       "      <td>4010</td>\n",
       "      <td>11933</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>249</td>\n",
       "      <td>3</td>\n",
       "      <td>79</td>\n",
       "      <td>1</td>\n",
       "      <td>1412</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3988</th>\n",
       "      <td>4011</td>\n",
       "      <td>5000</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1412</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3989</th>\n",
       "      <td>4012</td>\n",
       "      <td>2622</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1625</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1404</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3990</th>\n",
       "      <td>4013</td>\n",
       "      <td>11310</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5021</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1409</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3991</th>\n",
       "      <td>4014</td>\n",
       "      <td>39142</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14981</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1408</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3992</th>\n",
       "      <td>4015</td>\n",
       "      <td>11181</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>929</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1407</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3993</th>\n",
       "      <td>4016</td>\n",
       "      <td>3974</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>365</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1397</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3994</th>\n",
       "      <td>4017</td>\n",
       "      <td>18476</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>8525</td>\n",
       "      <td>4</td>\n",
       "      <td>200</td>\n",
       "      <td>1</td>\n",
       "      <td>1403</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3995</th>\n",
       "      <td>4018</td>\n",
       "      <td>64385</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>981</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1395</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3996</th>\n",
       "      <td>4019</td>\n",
       "      <td>73597</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>25447</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1402</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3997</th>\n",
       "      <td>4020</td>\n",
       "      <td>54899</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1401</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3998</th>\n",
       "      <td>4021</td>\n",
       "      <td>3016</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1398</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3999 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        ID  Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0        1    28143           0          1          1          1          174   \n",
       "1        2    19244           0          1          1          1          215   \n",
       "2        3    41354           0          1          1          1         4123   \n",
       "3        4    14776           0          1          1          1          500   \n",
       "4        5    97752           0          4          1          1        43300   \n",
       "5        6    16420           0          1          1          1            0   \n",
       "6        7    84914           0          3          1          1        27482   \n",
       "7        8    20856           0          1          1          1         5250   \n",
       "8        9   443003           0          3          2          1         1753   \n",
       "9       10   104860           0          3          1          1        28426   \n",
       "10      11    40091           0          2          1          1         7278   \n",
       "11      12    96522           0          5          1          1        61105   \n",
       "12      13    43382           0          2          1          1        11150   \n",
       "13      14    43097           0          1          1          1         3258   \n",
       "14      15    17648           0          1          1          1            0   \n",
       "15      16    28495           0          4          1          1        49442   \n",
       "16      17    51890           0          4          1          1        48963   \n",
       "17      18    13958           0          1          1          1         4291   \n",
       "18      19    91473           0          3          1          1        27408   \n",
       "19      20    23354           0          3          1          1        10447   \n",
       "20      21   120576           0          5          1          1        58831   \n",
       "21      22   185681        2024          1          1          1        13300   \n",
       "22      23    20584           0          1          1          1         3450   \n",
       "23      24    66275           0          1          1          1         2533   \n",
       "24      25   205651         500          1          1          1         4025   \n",
       "25      26    20726           0          1          1          1         1375   \n",
       "26      27    18521           0          1          1          1         1227   \n",
       "27      28     8828           0          1          1          1            0   \n",
       "28      29    59763           0          3          1          1        33772   \n",
       "29      30    19221           0          1          1          1         4655   \n",
       "...    ...      ...         ...        ...        ...        ...          ...   \n",
       "3969  3992    12532           0          1          1          1         2069   \n",
       "3970  3993    52584           0          1          1          1         2500   \n",
       "3971  3994    20954           0          1          1          1          375   \n",
       "3972  3995    35185           0          2          1          1         5957   \n",
       "3973  3996    72297           0          3          1          1        16241   \n",
       "3974  3997    58387           0          3          1          1        14581   \n",
       "3975  3998     9128           0          1          1          1            0   \n",
       "3976  3999    37520           0          1          1          1        19924   \n",
       "3977  4000     9399           0          1          1          1         2125   \n",
       "3978  4001    10071           0          2          1          1        27701   \n",
       "3979  4002    57793           0          3          1          1        20959   \n",
       "3980  4003    28867           0          3          1          1        19169   \n",
       "3981  4004     1010           0          1          1          1            0   \n",
       "3982  4005    11463           0          1          1          1          339   \n",
       "3983  4006    26173           0          1          1          1          305   \n",
       "3984  4007      404           0          1          1          1          550   \n",
       "3985  4008    59017           0          4          1          1        34746   \n",
       "3986  4009    34235           0          1          1          1        18910   \n",
       "3987  4010    11933           0          1          1          1          249   \n",
       "3988  4011     5000           0          1          1          1         2125   \n",
       "3989  4012     2622           0          1          1          1         1625   \n",
       "3990  4013    11310           0          1          1          1         5021   \n",
       "3991  4014    39142           0          3          1          1        14981   \n",
       "3992  4015    11181           0          1          1          1          929   \n",
       "3993  4016     3974           0          1          1          1          365   \n",
       "3994  4017    18476           0          1          1          1         8525   \n",
       "3995  4018    64385           0          1          1          1          981   \n",
       "3996  4019    73597           0          3          1          1        25447   \n",
       "3997  4020    54899           0          1          1          1          500   \n",
       "3998  4021     3016           0          1          1          1            0   \n",
       "\n",
       "      Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \\\n",
       "0               1                  0                0               7000   \n",
       "1               2                  0                0               6968   \n",
       "2               4                  0                0               7034   \n",
       "3               1                  0                0               6952   \n",
       "4              26               2077                4               6935   \n",
       "5               0                  0                0               6942   \n",
       "6              25                  0                0               6994   \n",
       "7               4                250                1               6938   \n",
       "8              43               3850               12               6948   \n",
       "9              28               1150                3               6931   \n",
       "10             10                  0                0               6959   \n",
       "11             19                  0                0               6924   \n",
       "12             20                  0                0               6924   \n",
       "13              6                  0                0               6918   \n",
       "14              0                  0                0               6912   \n",
       "15             15                  0                0               6912   \n",
       "16             16                  0                0               6910   \n",
       "17              5                  0                0               6905   \n",
       "18             17                  0                0               6903   \n",
       "19              5                  0                0               6896   \n",
       "20             23                250                2               6896   \n",
       "21             16               1800                9               6896   \n",
       "22             11               3450               11               6884   \n",
       "23             11                150                1               6884   \n",
       "24             21                700                4               7932   \n",
       "25              4                  0                0               7924   \n",
       "26              2               1227                2               7917   \n",
       "27              0                  0                0               7914   \n",
       "28             20                100                1               7907   \n",
       "29              8                500                1               7896   \n",
       "...           ...                ...              ...                ...   \n",
       "3969            9                  0                0               1445   \n",
       "3970            1                  0                0               1439   \n",
       "3971            3                  0                0               1438   \n",
       "3972            7                  0                0               1439   \n",
       "3973           16                  0                0               1587   \n",
       "3974           39                  0                0               1435   \n",
       "3975            0                  0                0               1424   \n",
       "3976            6                  0                0               1432   \n",
       "3977           10                  0                0               1430   \n",
       "3978           16                  0                0               1421   \n",
       "3979           15               1198                3               1424   \n",
       "3980           28                  0                0               1425   \n",
       "3981            0                  0                0               1423   \n",
       "3982            4                  0                0               1425   \n",
       "3983            1                  0                0               1418   \n",
       "3984            3                  0                0               1418   \n",
       "3985           25                  0                0               1418   \n",
       "3986            7                250                1               1415   \n",
       "3987            3                 79                1               1412   \n",
       "3988            3                  0                0               1412   \n",
       "3989            6                  0                0               1404   \n",
       "3990            2                  0                0               1409   \n",
       "3991           28                  0                0               1408   \n",
       "3992           12                  0                0               1407   \n",
       "3993            3                  0                0               1397   \n",
       "3994            4                200                1               1403   \n",
       "3995            5                  0                0               1395   \n",
       "3996            8                  0                0               1402   \n",
       "3997            1                500                1               1401   \n",
       "3998            0                  0                0               1398   \n",
       "\n",
       "      Award  \n",
       "0         0  \n",
       "1         0  \n",
       "2         0  \n",
       "3         0  \n",
       "4         1  \n",
       "5         0  \n",
       "6         0  \n",
       "7         1  \n",
       "8         1  \n",
       "9         1  \n",
       "10        0  \n",
       "11        1  \n",
       "12        0  \n",
       "13        0  \n",
       "14        0  \n",
       "15        1  \n",
       "16        1  \n",
       "17        1  \n",
       "18        1  \n",
       "19        1  \n",
       "20        1  \n",
       "21        1  \n",
       "22        0  \n",
       "23        0  \n",
       "24        0  \n",
       "25        0  \n",
       "26        0  \n",
       "27        0  \n",
       "28        1  \n",
       "29        1  \n",
       "...     ...  \n",
       "3969      0  \n",
       "3970      0  \n",
       "3971      0  \n",
       "3972      0  \n",
       "3973      1  \n",
       "3974      0  \n",
       "3975      0  \n",
       "3976      0  \n",
       "3977      0  \n",
       "3978      1  \n",
       "3979      1  \n",
       "3980      0  \n",
       "3981      0  \n",
       "3982      0  \n",
       "3983      0  \n",
       "3984      0  \n",
       "3985      0  \n",
       "3986      0  \n",
       "3987      1  \n",
       "3988      0  \n",
       "3989      1  \n",
       "3990      0  \n",
       "3991      0  \n",
       "3992      0  \n",
       "3993      0  \n",
       "3994      1  \n",
       "3995      1  \n",
       "3996      1  \n",
       "3997      0  \n",
       "3998      0  \n",
       "\n",
       "[3999 rows x 12 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1 = d1.drop(['ID' , 'Award'],axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>28143</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>174</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19244</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>215</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6968</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>41354</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4123</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7034</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14776</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>97752</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>43300</td>\n",
       "      <td>26</td>\n",
       "      <td>2077</td>\n",
       "      <td>4</td>\n",
       "      <td>6935</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0    28143           0          1          1          1          174   \n",
       "1    19244           0          1          1          1          215   \n",
       "2    41354           0          1          1          1         4123   \n",
       "3    14776           0          1          1          1          500   \n",
       "4    97752           0          4          1          1        43300   \n",
       "\n",
       "   Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \n",
       "0            1                  0                0               7000  \n",
       "1            2                  0                0               6968  \n",
       "2            4                  0                0               7034  \n",
       "3            1                  0                0               6952  \n",
       "4           26               2077                4               6935  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hierarchical¶"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Normalization function \n",
    "def norm_func(i):\n",
    "    x = (i-i.min())/(i.max()-i.min())\n",
    "    return (x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_norm = norm_func(d1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.016508</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000660</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.843742</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.011288</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000815</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.839884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.024257</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.015636</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.847842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.008667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001896</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.837955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.057338</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.164211</td>\n",
       "      <td>0.302326</td>\n",
       "      <td>0.067398</td>\n",
       "      <td>0.075472</td>\n",
       "      <td>0.835905</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0  0.016508         0.0       0.00        0.0        0.0     0.000660   \n",
       "1  0.011288         0.0       0.00        0.0        0.0     0.000815   \n",
       "2  0.024257         0.0       0.00        0.0        0.0     0.015636   \n",
       "3  0.008667         0.0       0.00        0.0        0.0     0.001896   \n",
       "4  0.057338         0.0       0.75        0.0        0.0     0.164211   \n",
       "\n",
       "   Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \n",
       "0     0.011628           0.000000         0.000000           0.843742  \n",
       "1     0.023256           0.000000         0.000000           0.839884  \n",
       "2     0.046512           0.000000         0.000000           0.847842  \n",
       "3     0.011628           0.000000         0.000000           0.837955  \n",
       "4     0.302326           0.067398         0.075472           0.835905  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d_norm.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create dendrogram\n",
    "dendrogram = sch.dendrogram(sch.linkage(d_norm, method='complete'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create clusters\n",
    "hc = AgglomerativeClustering(n_clusters=4, affinity = 'euclidean', linkage = 'complete')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, ..., 2, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc.fit_predict(d_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save clusters for chart\n",
    "y_hc = hc.fit_predict(d_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_norm['h_clusterid'] = y_hc "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "      <th>h_clusterid</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.016508</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000660</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.843742</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.011288</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000815</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.839884</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.024257</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.015636</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.847842</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.008667</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001896</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.837955</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.057338</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.164211</td>\n",
       "      <td>0.302326</td>\n",
       "      <td>0.067398</td>\n",
       "      <td>0.075472</td>\n",
       "      <td>0.835905</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.009631</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.836749</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.049808</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.104223</td>\n",
       "      <td>0.290698</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.843019</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.012233</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.019910</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.008112</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.836267</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.259850</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.006648</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.124931</td>\n",
       "      <td>0.226415</td>\n",
       "      <td>0.837473</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.061507</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.107803</td>\n",
       "      <td>0.325581</td>\n",
       "      <td>0.037317</td>\n",
       "      <td>0.056604</td>\n",
       "      <td>0.835423</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.023516</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.027601</td>\n",
       "      <td>0.116279</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.838799</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.056617</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.231735</td>\n",
       "      <td>0.220930</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.834579</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.025446</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.042285</td>\n",
       "      <td>0.232558</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.834579</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.025279</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.012356</td>\n",
       "      <td>0.069767</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.833856</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.010352</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.833132</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.016714</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.187504</td>\n",
       "      <td>0.174419</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.833132</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.030437</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.185687</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.832891</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.008187</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.016273</td>\n",
       "      <td>0.058140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.832288</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.053655</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.103942</td>\n",
       "      <td>0.197674</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.832047</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.013699</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.039619</td>\n",
       "      <td>0.058140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.831203</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.070726</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.223111</td>\n",
       "      <td>0.267442</td>\n",
       "      <td>0.008112</td>\n",
       "      <td>0.037736</td>\n",
       "      <td>0.831203</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.108914</td>\n",
       "      <td>0.181557</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.050439</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.058409</td>\n",
       "      <td>0.169811</td>\n",
       "      <td>0.831203</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.012074</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.013084</td>\n",
       "      <td>0.127907</td>\n",
       "      <td>0.111951</td>\n",
       "      <td>0.207547</td>\n",
       "      <td>0.829756</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.038875</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.009606</td>\n",
       "      <td>0.127907</td>\n",
       "      <td>0.004867</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.829756</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.120628</td>\n",
       "      <td>0.044851</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.015264</td>\n",
       "      <td>0.244186</td>\n",
       "      <td>0.022715</td>\n",
       "      <td>0.075472</td>\n",
       "      <td>0.956113</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.012157</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.005215</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.955148</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.010864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.004653</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.039816</td>\n",
       "      <td>0.037736</td>\n",
       "      <td>0.954304</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.005178</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.953943</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.035055</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.128077</td>\n",
       "      <td>0.232558</td>\n",
       "      <td>0.003245</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.953099</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.011274</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.017654</td>\n",
       "      <td>0.093023</td>\n",
       "      <td>0.016225</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.951772</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3969</th>\n",
       "      <td>0.007351</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.007846</td>\n",
       "      <td>0.104651</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.173981</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3970</th>\n",
       "      <td>0.030844</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.009481</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.173258</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3971</th>\n",
       "      <td>0.012291</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001422</td>\n",
       "      <td>0.034884</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.173137</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3972</th>\n",
       "      <td>0.020638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.022591</td>\n",
       "      <td>0.081395</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.173258</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3973</th>\n",
       "      <td>0.042407</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.061592</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.191102</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3974</th>\n",
       "      <td>0.034248</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.055297</td>\n",
       "      <td>0.453488</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.172776</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3975</th>\n",
       "      <td>0.005354</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.171449</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3976</th>\n",
       "      <td>0.022008</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.075560</td>\n",
       "      <td>0.069767</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.172414</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3977</th>\n",
       "      <td>0.005513</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.008059</td>\n",
       "      <td>0.116279</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.172173</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3978</th>\n",
       "      <td>0.005907</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.105053</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.171088</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3979</th>\n",
       "      <td>0.033899</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.079485</td>\n",
       "      <td>0.174419</td>\n",
       "      <td>0.038875</td>\n",
       "      <td>0.056604</td>\n",
       "      <td>0.171449</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3980</th>\n",
       "      <td>0.016932</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.072697</td>\n",
       "      <td>0.325581</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.171570</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3981</th>\n",
       "      <td>0.000592</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.171329</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3982</th>\n",
       "      <td>0.006724</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001286</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.171570</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3983</th>\n",
       "      <td>0.015352</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001157</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.170726</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3984</th>\n",
       "      <td>0.000237</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002086</td>\n",
       "      <td>0.034884</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.170726</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3985</th>\n",
       "      <td>0.034617</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.131771</td>\n",
       "      <td>0.290698</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.170726</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3986</th>\n",
       "      <td>0.020081</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.071714</td>\n",
       "      <td>0.081395</td>\n",
       "      <td>0.008112</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.170364</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3987</th>\n",
       "      <td>0.006999</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000944</td>\n",
       "      <td>0.034884</td>\n",
       "      <td>0.002564</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.170002</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3988</th>\n",
       "      <td>0.002933</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.008059</td>\n",
       "      <td>0.034884</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.170002</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3989</th>\n",
       "      <td>0.001538</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.006163</td>\n",
       "      <td>0.069767</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.169038</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3990</th>\n",
       "      <td>0.006634</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.019042</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.169641</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3991</th>\n",
       "      <td>0.022959</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.056814</td>\n",
       "      <td>0.325581</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.169520</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3992</th>\n",
       "      <td>0.006558</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.003523</td>\n",
       "      <td>0.139535</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.169400</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3993</th>\n",
       "      <td>0.002331</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001384</td>\n",
       "      <td>0.034884</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.168194</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3994</th>\n",
       "      <td>0.010837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.032330</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.006490</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.168917</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3995</th>\n",
       "      <td>0.037766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.003720</td>\n",
       "      <td>0.058140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.167953</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3996</th>\n",
       "      <td>0.043169</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.096505</td>\n",
       "      <td>0.093023</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.168797</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3997</th>\n",
       "      <td>0.032202</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001896</td>\n",
       "      <td>0.011628</td>\n",
       "      <td>0.016225</td>\n",
       "      <td>0.018868</td>\n",
       "      <td>0.168676</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3998</th>\n",
       "      <td>0.001769</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.168314</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3999 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0     0.016508    0.000000       0.00        0.0        0.0     0.000660   \n",
       "1     0.011288    0.000000       0.00        0.0        0.0     0.000815   \n",
       "2     0.024257    0.000000       0.00        0.0        0.0     0.015636   \n",
       "3     0.008667    0.000000       0.00        0.0        0.0     0.001896   \n",
       "4     0.057338    0.000000       0.75        0.0        0.0     0.164211   \n",
       "5     0.009631    0.000000       0.00        0.0        0.0     0.000000   \n",
       "6     0.049808    0.000000       0.50        0.0        0.0     0.104223   \n",
       "7     0.012233    0.000000       0.00        0.0        0.0     0.019910   \n",
       "8     0.259850    0.000000       0.50        0.5        0.0     0.006648   \n",
       "9     0.061507    0.000000       0.50        0.0        0.0     0.107803   \n",
       "10    0.023516    0.000000       0.25        0.0        0.0     0.027601   \n",
       "11    0.056617    0.000000       1.00        0.0        0.0     0.231735   \n",
       "12    0.025446    0.000000       0.25        0.0        0.0     0.042285   \n",
       "13    0.025279    0.000000       0.00        0.0        0.0     0.012356   \n",
       "14    0.010352    0.000000       0.00        0.0        0.0     0.000000   \n",
       "15    0.016714    0.000000       0.75        0.0        0.0     0.187504   \n",
       "16    0.030437    0.000000       0.75        0.0        0.0     0.185687   \n",
       "17    0.008187    0.000000       0.00        0.0        0.0     0.016273   \n",
       "18    0.053655    0.000000       0.50        0.0        0.0     0.103942   \n",
       "19    0.013699    0.000000       0.50        0.0        0.0     0.039619   \n",
       "20    0.070726    0.000000       1.00        0.0        0.0     0.223111   \n",
       "21    0.108914    0.181557       0.00        0.0        0.0     0.050439   \n",
       "22    0.012074    0.000000       0.00        0.0        0.0     0.013084   \n",
       "23    0.038875    0.000000       0.00        0.0        0.0     0.009606   \n",
       "24    0.120628    0.044851       0.00        0.0        0.0     0.015264   \n",
       "25    0.012157    0.000000       0.00        0.0        0.0     0.005215   \n",
       "26    0.010864    0.000000       0.00        0.0        0.0     0.004653   \n",
       "27    0.005178    0.000000       0.00        0.0        0.0     0.000000   \n",
       "28    0.035055    0.000000       0.50        0.0        0.0     0.128077   \n",
       "29    0.011274    0.000000       0.00        0.0        0.0     0.017654   \n",
       "...        ...         ...        ...        ...        ...          ...   \n",
       "3969  0.007351    0.000000       0.00        0.0        0.0     0.007846   \n",
       "3970  0.030844    0.000000       0.00        0.0        0.0     0.009481   \n",
       "3971  0.012291    0.000000       0.00        0.0        0.0     0.001422   \n",
       "3972  0.020638    0.000000       0.25        0.0        0.0     0.022591   \n",
       "3973  0.042407    0.000000       0.50        0.0        0.0     0.061592   \n",
       "3974  0.034248    0.000000       0.50        0.0        0.0     0.055297   \n",
       "3975  0.005354    0.000000       0.00        0.0        0.0     0.000000   \n",
       "3976  0.022008    0.000000       0.00        0.0        0.0     0.075560   \n",
       "3977  0.005513    0.000000       0.00        0.0        0.0     0.008059   \n",
       "3978  0.005907    0.000000       0.25        0.0        0.0     0.105053   \n",
       "3979  0.033899    0.000000       0.50        0.0        0.0     0.079485   \n",
       "3980  0.016932    0.000000       0.50        0.0        0.0     0.072697   \n",
       "3981  0.000592    0.000000       0.00        0.0        0.0     0.000000   \n",
       "3982  0.006724    0.000000       0.00        0.0        0.0     0.001286   \n",
       "3983  0.015352    0.000000       0.00        0.0        0.0     0.001157   \n",
       "3984  0.000237    0.000000       0.00        0.0        0.0     0.002086   \n",
       "3985  0.034617    0.000000       0.75        0.0        0.0     0.131771   \n",
       "3986  0.020081    0.000000       0.00        0.0        0.0     0.071714   \n",
       "3987  0.006999    0.000000       0.00        0.0        0.0     0.000944   \n",
       "3988  0.002933    0.000000       0.00        0.0        0.0     0.008059   \n",
       "3989  0.001538    0.000000       0.00        0.0        0.0     0.006163   \n",
       "3990  0.006634    0.000000       0.00        0.0        0.0     0.019042   \n",
       "3991  0.022959    0.000000       0.50        0.0        0.0     0.056814   \n",
       "3992  0.006558    0.000000       0.00        0.0        0.0     0.003523   \n",
       "3993  0.002331    0.000000       0.00        0.0        0.0     0.001384   \n",
       "3994  0.010837    0.000000       0.00        0.0        0.0     0.032330   \n",
       "3995  0.037766    0.000000       0.00        0.0        0.0     0.003720   \n",
       "3996  0.043169    0.000000       0.50        0.0        0.0     0.096505   \n",
       "3997  0.032202    0.000000       0.00        0.0        0.0     0.001896   \n",
       "3998  0.001769    0.000000       0.00        0.0        0.0     0.000000   \n",
       "\n",
       "      Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \\\n",
       "0        0.011628           0.000000         0.000000           0.843742   \n",
       "1        0.023256           0.000000         0.000000           0.839884   \n",
       "2        0.046512           0.000000         0.000000           0.847842   \n",
       "3        0.011628           0.000000         0.000000           0.837955   \n",
       "4        0.302326           0.067398         0.075472           0.835905   \n",
       "5        0.000000           0.000000         0.000000           0.836749   \n",
       "6        0.290698           0.000000         0.000000           0.843019   \n",
       "7        0.046512           0.008112         0.018868           0.836267   \n",
       "8        0.500000           0.124931         0.226415           0.837473   \n",
       "9        0.325581           0.037317         0.056604           0.835423   \n",
       "10       0.116279           0.000000         0.000000           0.838799   \n",
       "11       0.220930           0.000000         0.000000           0.834579   \n",
       "12       0.232558           0.000000         0.000000           0.834579   \n",
       "13       0.069767           0.000000         0.000000           0.833856   \n",
       "14       0.000000           0.000000         0.000000           0.833132   \n",
       "15       0.174419           0.000000         0.000000           0.833132   \n",
       "16       0.186047           0.000000         0.000000           0.832891   \n",
       "17       0.058140           0.000000         0.000000           0.832288   \n",
       "18       0.197674           0.000000         0.000000           0.832047   \n",
       "19       0.058140           0.000000         0.000000           0.831203   \n",
       "20       0.267442           0.008112         0.037736           0.831203   \n",
       "21       0.186047           0.058409         0.169811           0.831203   \n",
       "22       0.127907           0.111951         0.207547           0.829756   \n",
       "23       0.127907           0.004867         0.018868           0.829756   \n",
       "24       0.244186           0.022715         0.075472           0.956113   \n",
       "25       0.046512           0.000000         0.000000           0.955148   \n",
       "26       0.023256           0.039816         0.037736           0.954304   \n",
       "27       0.000000           0.000000         0.000000           0.953943   \n",
       "28       0.232558           0.003245         0.018868           0.953099   \n",
       "29       0.093023           0.016225         0.018868           0.951772   \n",
       "...           ...                ...              ...                ...   \n",
       "3969     0.104651           0.000000         0.000000           0.173981   \n",
       "3970     0.011628           0.000000         0.000000           0.173258   \n",
       "3971     0.034884           0.000000         0.000000           0.173137   \n",
       "3972     0.081395           0.000000         0.000000           0.173258   \n",
       "3973     0.186047           0.000000         0.000000           0.191102   \n",
       "3974     0.453488           0.000000         0.000000           0.172776   \n",
       "3975     0.000000           0.000000         0.000000           0.171449   \n",
       "3976     0.069767           0.000000         0.000000           0.172414   \n",
       "3977     0.116279           0.000000         0.000000           0.172173   \n",
       "3978     0.186047           0.000000         0.000000           0.171088   \n",
       "3979     0.174419           0.038875         0.056604           0.171449   \n",
       "3980     0.325581           0.000000         0.000000           0.171570   \n",
       "3981     0.000000           0.000000         0.000000           0.171329   \n",
       "3982     0.046512           0.000000         0.000000           0.171570   \n",
       "3983     0.011628           0.000000         0.000000           0.170726   \n",
       "3984     0.034884           0.000000         0.000000           0.170726   \n",
       "3985     0.290698           0.000000         0.000000           0.170726   \n",
       "3986     0.081395           0.008112         0.018868           0.170364   \n",
       "3987     0.034884           0.002564         0.018868           0.170002   \n",
       "3988     0.034884           0.000000         0.000000           0.170002   \n",
       "3989     0.069767           0.000000         0.000000           0.169038   \n",
       "3990     0.023256           0.000000         0.000000           0.169641   \n",
       "3991     0.325581           0.000000         0.000000           0.169520   \n",
       "3992     0.139535           0.000000         0.000000           0.169400   \n",
       "3993     0.034884           0.000000         0.000000           0.168194   \n",
       "3994     0.046512           0.006490         0.018868           0.168917   \n",
       "3995     0.058140           0.000000         0.000000           0.167953   \n",
       "3996     0.093023           0.000000         0.000000           0.168797   \n",
       "3997     0.011628           0.016225         0.018868           0.168676   \n",
       "3998     0.000000           0.000000         0.000000           0.168314   \n",
       "\n",
       "      h_clusterid  \n",
       "0               0  \n",
       "1               0  \n",
       "2               0  \n",
       "3               0  \n",
       "4               2  \n",
       "5               0  \n",
       "6               0  \n",
       "7               0  \n",
       "8               2  \n",
       "9               0  \n",
       "10              0  \n",
       "11              2  \n",
       "12              0  \n",
       "13              0  \n",
       "14              0  \n",
       "15              2  \n",
       "16              2  \n",
       "17              0  \n",
       "18              0  \n",
       "19              0  \n",
       "20              2  \n",
       "21              0  \n",
       "22              0  \n",
       "23              0  \n",
       "24              0  \n",
       "25              0  \n",
       "26              0  \n",
       "27              0  \n",
       "28              0  \n",
       "29              0  \n",
       "...           ...  \n",
       "3969            0  \n",
       "3970            0  \n",
       "3971            0  \n",
       "3972            2  \n",
       "3973            2  \n",
       "3974            2  \n",
       "3975            0  \n",
       "3976            0  \n",
       "3977            0  \n",
       "3978            2  \n",
       "3979            2  \n",
       "3980            2  \n",
       "3981            0  \n",
       "3982            0  \n",
       "3983            0  \n",
       "3984            0  \n",
       "3985            2  \n",
       "3986            0  \n",
       "3987            0  \n",
       "3988            0  \n",
       "3989            0  \n",
       "3990            0  \n",
       "3991            2  \n",
       "3992            0  \n",
       "3993            0  \n",
       "3994            0  \n",
       "3995            0  \n",
       "3996            2  \n",
       "3997            0  \n",
       "3998            0  \n",
       "\n",
       "[3999 rows x 11 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    " c = d_norm.h_clusterid.value_counts().rename_axis('cluster').reset_index(name ='members')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cluster</th>\n",
       "      <th>members</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   cluster  members\n",
       "0        0     2605\n",
       "1        2     1376\n",
       "2        1       14\n",
       "3        3        4"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(c.cluster,c.members,color = 'blue', width = 0.2)\n",
    "plt.xlabel('clusters')\n",
    "plt.ylabel('number of members')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "#we can infer that the first cluster or cluster zero have more members followed by cluster two or third cluster and cluster four have the least number of members"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "nc=[2,3,4,5,6,7,8,9]\n",
    "iner=[]    \n",
    "for i in nc:\n",
    "    km=KMeans(i)\n",
    "    km.fit(d_norm)\n",
    "    iner.append(km.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(nc,iner,color=\"black\")\n",
    "plt.scatter(nc,iner,color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=4, n_init=10, n_jobs=1, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_kmeans = KMeans(n_clusters=4) \n",
    "model_kmeans.fit(d_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 3, ..., 2, 1, 1])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "313.73920961785427"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_kmeans.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "md=pd.Series(model_kmeans.labels_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1[\"labels\"]=pd.Series(model_kmeans.labels_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "      <th>labels</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>28143</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>174</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7000</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19244</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>215</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6968</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>41354</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4123</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7034</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14776</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6952</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>97752</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>43300</td>\n",
       "      <td>26</td>\n",
       "      <td>2077</td>\n",
       "      <td>4</td>\n",
       "      <td>6935</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>16420</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6942</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>84914</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27482</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6994</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>20856</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5250</td>\n",
       "      <td>4</td>\n",
       "      <td>250</td>\n",
       "      <td>1</td>\n",
       "      <td>6938</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>443003</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1753</td>\n",
       "      <td>43</td>\n",
       "      <td>3850</td>\n",
       "      <td>12</td>\n",
       "      <td>6948</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>104860</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>28426</td>\n",
       "      <td>28</td>\n",
       "      <td>1150</td>\n",
       "      <td>3</td>\n",
       "      <td>6931</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>40091</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>7278</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6959</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>96522</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>61105</td>\n",
       "      <td>19</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6924</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>43382</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>11150</td>\n",
       "      <td>20</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6924</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>43097</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3258</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6918</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>17648</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6912</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>28495</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>49442</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6912</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>51890</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>48963</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6910</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>13958</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4291</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6905</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>91473</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27408</td>\n",
       "      <td>17</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6903</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>23354</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>10447</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6896</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>120576</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>58831</td>\n",
       "      <td>23</td>\n",
       "      <td>250</td>\n",
       "      <td>2</td>\n",
       "      <td>6896</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>185681</td>\n",
       "      <td>2024</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>13300</td>\n",
       "      <td>16</td>\n",
       "      <td>1800</td>\n",
       "      <td>9</td>\n",
       "      <td>6896</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>20584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>3450</td>\n",
       "      <td>11</td>\n",
       "      <td>6884</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>66275</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2533</td>\n",
       "      <td>11</td>\n",
       "      <td>150</td>\n",
       "      <td>1</td>\n",
       "      <td>6884</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>205651</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4025</td>\n",
       "      <td>21</td>\n",
       "      <td>700</td>\n",
       "      <td>4</td>\n",
       "      <td>7932</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>20726</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1375</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7924</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>18521</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>1227</td>\n",
       "      <td>2</td>\n",
       "      <td>7917</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>8828</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7914</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>59763</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>33772</td>\n",
       "      <td>20</td>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>7907</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>19221</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4655</td>\n",
       "      <td>8</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>7896</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3969</th>\n",
       "      <td>12532</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2069</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1445</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3970</th>\n",
       "      <td>52584</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3971</th>\n",
       "      <td>20954</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>375</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1438</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3972</th>\n",
       "      <td>35185</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5957</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1439</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3973</th>\n",
       "      <td>72297</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>16241</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1587</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3974</th>\n",
       "      <td>58387</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14581</td>\n",
       "      <td>39</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1435</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3975</th>\n",
       "      <td>9128</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1424</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3976</th>\n",
       "      <td>37520</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19924</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1432</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3977</th>\n",
       "      <td>9399</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1430</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3978</th>\n",
       "      <td>10071</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>27701</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1421</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3979</th>\n",
       "      <td>57793</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>20959</td>\n",
       "      <td>15</td>\n",
       "      <td>1198</td>\n",
       "      <td>3</td>\n",
       "      <td>1424</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3980</th>\n",
       "      <td>28867</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>19169</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3981</th>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1423</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3982</th>\n",
       "      <td>11463</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>339</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1425</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3983</th>\n",
       "      <td>26173</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>305</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3984</th>\n",
       "      <td>404</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>550</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3985</th>\n",
       "      <td>59017</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>34746</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1418</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3986</th>\n",
       "      <td>34235</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>18910</td>\n",
       "      <td>7</td>\n",
       "      <td>250</td>\n",
       "      <td>1</td>\n",
       "      <td>1415</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3987</th>\n",
       "      <td>11933</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>249</td>\n",
       "      <td>3</td>\n",
       "      <td>79</td>\n",
       "      <td>1</td>\n",
       "      <td>1412</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3988</th>\n",
       "      <td>5000</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2125</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1412</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3989</th>\n",
       "      <td>2622</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1625</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1404</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3990</th>\n",
       "      <td>11310</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5021</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1409</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3991</th>\n",
       "      <td>39142</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>14981</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1408</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3992</th>\n",
       "      <td>11181</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>929</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1407</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3993</th>\n",
       "      <td>3974</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>365</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1397</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3994</th>\n",
       "      <td>18476</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>8525</td>\n",
       "      <td>4</td>\n",
       "      <td>200</td>\n",
       "      <td>1</td>\n",
       "      <td>1403</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3995</th>\n",
       "      <td>64385</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>981</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1395</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3996</th>\n",
       "      <td>73597</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>25447</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1402</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3997</th>\n",
       "      <td>54899</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>1401</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3998</th>\n",
       "      <td>3016</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1398</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3999 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0       28143           0          1          1          1          174   \n",
       "1       19244           0          1          1          1          215   \n",
       "2       41354           0          1          1          1         4123   \n",
       "3       14776           0          1          1          1          500   \n",
       "4       97752           0          4          1          1        43300   \n",
       "5       16420           0          1          1          1            0   \n",
       "6       84914           0          3          1          1        27482   \n",
       "7       20856           0          1          1          1         5250   \n",
       "8      443003           0          3          2          1         1753   \n",
       "9      104860           0          3          1          1        28426   \n",
       "10      40091           0          2          1          1         7278   \n",
       "11      96522           0          5          1          1        61105   \n",
       "12      43382           0          2          1          1        11150   \n",
       "13      43097           0          1          1          1         3258   \n",
       "14      17648           0          1          1          1            0   \n",
       "15      28495           0          4          1          1        49442   \n",
       "16      51890           0          4          1          1        48963   \n",
       "17      13958           0          1          1          1         4291   \n",
       "18      91473           0          3          1          1        27408   \n",
       "19      23354           0          3          1          1        10447   \n",
       "20     120576           0          5          1          1        58831   \n",
       "21     185681        2024          1          1          1        13300   \n",
       "22      20584           0          1          1          1         3450   \n",
       "23      66275           0          1          1          1         2533   \n",
       "24     205651         500          1          1          1         4025   \n",
       "25      20726           0          1          1          1         1375   \n",
       "26      18521           0          1          1          1         1227   \n",
       "27       8828           0          1          1          1            0   \n",
       "28      59763           0          3          1          1        33772   \n",
       "29      19221           0          1          1          1         4655   \n",
       "...       ...         ...        ...        ...        ...          ...   \n",
       "3969    12532           0          1          1          1         2069   \n",
       "3970    52584           0          1          1          1         2500   \n",
       "3971    20954           0          1          1          1          375   \n",
       "3972    35185           0          2          1          1         5957   \n",
       "3973    72297           0          3          1          1        16241   \n",
       "3974    58387           0          3          1          1        14581   \n",
       "3975     9128           0          1          1          1            0   \n",
       "3976    37520           0          1          1          1        19924   \n",
       "3977     9399           0          1          1          1         2125   \n",
       "3978    10071           0          2          1          1        27701   \n",
       "3979    57793           0          3          1          1        20959   \n",
       "3980    28867           0          3          1          1        19169   \n",
       "3981     1010           0          1          1          1            0   \n",
       "3982    11463           0          1          1          1          339   \n",
       "3983    26173           0          1          1          1          305   \n",
       "3984      404           0          1          1          1          550   \n",
       "3985    59017           0          4          1          1        34746   \n",
       "3986    34235           0          1          1          1        18910   \n",
       "3987    11933           0          1          1          1          249   \n",
       "3988     5000           0          1          1          1         2125   \n",
       "3989     2622           0          1          1          1         1625   \n",
       "3990    11310           0          1          1          1         5021   \n",
       "3991    39142           0          3          1          1        14981   \n",
       "3992    11181           0          1          1          1          929   \n",
       "3993     3974           0          1          1          1          365   \n",
       "3994    18476           0          1          1          1         8525   \n",
       "3995    64385           0          1          1          1          981   \n",
       "3996    73597           0          3          1          1        25447   \n",
       "3997    54899           0          1          1          1          500   \n",
       "3998     3016           0          1          1          1            0   \n",
       "\n",
       "      Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  \\\n",
       "0               1                  0                0               7000   \n",
       "1               2                  0                0               6968   \n",
       "2               4                  0                0               7034   \n",
       "3               1                  0                0               6952   \n",
       "4              26               2077                4               6935   \n",
       "5               0                  0                0               6942   \n",
       "6              25                  0                0               6994   \n",
       "7               4                250                1               6938   \n",
       "8              43               3850               12               6948   \n",
       "9              28               1150                3               6931   \n",
       "10             10                  0                0               6959   \n",
       "11             19                  0                0               6924   \n",
       "12             20                  0                0               6924   \n",
       "13              6                  0                0               6918   \n",
       "14              0                  0                0               6912   \n",
       "15             15                  0                0               6912   \n",
       "16             16                  0                0               6910   \n",
       "17              5                  0                0               6905   \n",
       "18             17                  0                0               6903   \n",
       "19              5                  0                0               6896   \n",
       "20             23                250                2               6896   \n",
       "21             16               1800                9               6896   \n",
       "22             11               3450               11               6884   \n",
       "23             11                150                1               6884   \n",
       "24             21                700                4               7932   \n",
       "25              4                  0                0               7924   \n",
       "26              2               1227                2               7917   \n",
       "27              0                  0                0               7914   \n",
       "28             20                100                1               7907   \n",
       "29              8                500                1               7896   \n",
       "...           ...                ...              ...                ...   \n",
       "3969            9                  0                0               1445   \n",
       "3970            1                  0                0               1439   \n",
       "3971            3                  0                0               1438   \n",
       "3972            7                  0                0               1439   \n",
       "3973           16                  0                0               1587   \n",
       "3974           39                  0                0               1435   \n",
       "3975            0                  0                0               1424   \n",
       "3976            6                  0                0               1432   \n",
       "3977           10                  0                0               1430   \n",
       "3978           16                  0                0               1421   \n",
       "3979           15               1198                3               1424   \n",
       "3980           28                  0                0               1425   \n",
       "3981            0                  0                0               1423   \n",
       "3982            4                  0                0               1425   \n",
       "3983            1                  0                0               1418   \n",
       "3984            3                  0                0               1418   \n",
       "3985           25                  0                0               1418   \n",
       "3986            7                250                1               1415   \n",
       "3987            3                 79                1               1412   \n",
       "3988            3                  0                0               1412   \n",
       "3989            6                  0                0               1404   \n",
       "3990            2                  0                0               1409   \n",
       "3991           28                  0                0               1408   \n",
       "3992           12                  0                0               1407   \n",
       "3993            3                  0                0               1397   \n",
       "3994            4                200                1               1403   \n",
       "3995            5                  0                0               1395   \n",
       "3996            8                  0                0               1402   \n",
       "3997            1                500                1               1401   \n",
       "3998            0                  0                0               1398   \n",
       "\n",
       "      labels  \n",
       "0          3  \n",
       "1          3  \n",
       "2          3  \n",
       "3          3  \n",
       "4          0  \n",
       "5          3  \n",
       "6          3  \n",
       "7          3  \n",
       "8          0  \n",
       "9          3  \n",
       "10         3  \n",
       "11         0  \n",
       "12         3  \n",
       "13         3  \n",
       "14         3  \n",
       "15         0  \n",
       "16         0  \n",
       "17         3  \n",
       "18         3  \n",
       "19         3  \n",
       "20         0  \n",
       "21         3  \n",
       "22         3  \n",
       "23         3  \n",
       "24         3  \n",
       "25         3  \n",
       "26         3  \n",
       "27         3  \n",
       "28         3  \n",
       "29         3  \n",
       "...      ...  \n",
       "3969       1  \n",
       "3970       1  \n",
       "3971       1  \n",
       "3972       2  \n",
       "3973       2  \n",
       "3974       2  \n",
       "3975       1  \n",
       "3976       1  \n",
       "3977       1  \n",
       "3978       2  \n",
       "3979       2  \n",
       "3980       2  \n",
       "3981       1  \n",
       "3982       1  \n",
       "3983       1  \n",
       "3984       1  \n",
       "3985       2  \n",
       "3986       1  \n",
       "3987       1  \n",
       "3988       1  \n",
       "3989       1  \n",
       "3990       1  \n",
       "3991       2  \n",
       "3992       1  \n",
       "3993       1  \n",
       "3994       1  \n",
       "3995       1  \n",
       "3996       2  \n",
       "3997       1  \n",
       "3998       1  \n",
       "\n",
       "[3999 rows x 11 columns]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "c2 = d1.labels.value_counts().rename_axis('cluster').reset_index(name ='members')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cluster</th>\n",
       "      <th>members</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>1218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>694</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   cluster  members\n",
       "0        1     1390\n",
       "1        3     1218\n",
       "2        2      697\n",
       "3        0      694"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(c2.cluster,c2.members,color = 'blue', width = 0.2)\n",
    "plt.xlabel('clusters')\n",
    "plt.ylabel('number of members')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "##we can infer that the third cluster or cluster two have more members followed by cluster zero or first cluster and cluster one have the least number of members"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN \n",
    "import seaborn as sns\n",
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "#DBSCAN\n",
    "\n",
    "dbs=DBSCAN(min_samples=7,eps=0.5)\n",
    "claas_pr=dbs.fit_predict(d_norm)\n",
    "#plt.scatter(d1[\"f1\"],d1[\"f2\"],c=claas_pr,cmap=plt.cm.Accent)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, ..., 1, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "claas_pr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1['labels'] = claas_pr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Balance</th>\n",
       "      <th>Qual_miles</th>\n",
       "      <th>cc1_miles</th>\n",
       "      <th>cc2_miles</th>\n",
       "      <th>cc3_miles</th>\n",
       "      <th>Bonus_miles</th>\n",
       "      <th>Bonus_trans</th>\n",
       "      <th>Flight_miles_12mo</th>\n",
       "      <th>Flight_trans_12</th>\n",
       "      <th>Days_since_enroll</th>\n",
       "      <th>labels</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>28143</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>174</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19244</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>215</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6968</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>41354</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4123</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7034</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14776</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>500</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6952</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>97752</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>43300</td>\n",
       "      <td>26</td>\n",
       "      <td>2077</td>\n",
       "      <td>4</td>\n",
       "      <td>6935</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Balance  Qual_miles  cc1_miles  cc2_miles  cc3_miles  Bonus_miles  \\\n",
       "0    28143           0          1          1          1          174   \n",
       "1    19244           0          1          1          1          215   \n",
       "2    41354           0          1          1          1         4123   \n",
       "3    14776           0          1          1          1          500   \n",
       "4    97752           0          4          1          1        43300   \n",
       "\n",
       "   Bonus_trans  Flight_miles_12mo  Flight_trans_12  Days_since_enroll  labels  \n",
       "0            1                  0                0               7000       0  \n",
       "1            2                  0                0               6968       0  \n",
       "2            4                  0                0               7034       0  \n",
       "3            1                  0                0               6952       0  \n",
       "4           26               2077                4               6935       1  "
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "g =pd.DataFrame(d1.labels.value_counts().rename_axis('cluster').reset_index(name ='members'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cluster</th>\n",
       "      <th>members</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1374</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-1</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   cluster  members\n",
       "0        0     2562\n",
       "1        1     1374\n",
       "2        3       26\n",
       "3        2       15\n",
       "4        4       12\n",
       "5       -1       10"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       " 0    2562\n",
       " 1    1374\n",
       " 3      26\n",
       " 2      15\n",
       " 4      12\n",
       "-1      10\n",
       "Name: labels, dtype: int64"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1.labels.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(g.cluster,g.members,color = 'black', width = 0.2)\n",
    "plt.xlabel('cluster')\n",
    "plt.ylabel('no of mem')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "##we can infer that the second cluster or cluster zero have more members followed by cluster one  and cluster minus one have the least number of members"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}