WBPCA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#For extracting PCA components from selected villages\n",
    "import pandas as pd\n",
    "import sklearn\n",
    "import sklearn.decomposition\n",
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Load the csvfile\n",
    "data = pd.read_csv('justNewFile',dtype={'state-code':str,'district-code':str, 'teh-code':str,'vill-code':str,'ward-no':str,'village-id':str})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>state-code</th>\n",
       "      <th>state</th>\n",
       "      <th>district-code</th>\n",
       "      <th>district-name</th>\n",
       "      <th>teh-code</th>\n",
       "      <th>teh-name</th>\n",
       "      <th>vill-code</th>\n",
       "      <th>ward-no</th>\n",
       "      <th>area-name</th>\n",
       "      <th>...</th>\n",
       "      <th>transport-cycle</th>\n",
       "      <th>transport-motorized</th>\n",
       "      <th>no-assets</th>\n",
       "      <th>banking-services-availability</th>\n",
       "      <th>cook-fuel-natural</th>\n",
       "      <th>cook-fuel-processed</th>\n",
       "      <th>no-cooking</th>\n",
       "      <th>bathroom-within</th>\n",
       "      <th>bathroom-outside</th>\n",
       "      <th>village-id</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>6</td>\n",
       "      <td>19</td>\n",
       "      <td>WEST BENGAL</td>\n",
       "      <td>327</td>\n",
       "      <td>Darjiling</td>\n",
       "      <td>02154</td>\n",
       "      <td>Darjeeling Pulbazar</td>\n",
       "      <td>306145</td>\n",
       "      <td>0000</td>\n",
       "      <td>Singalila Forest</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>37.3</td>\n",
       "      <td>25.5</td>\n",
       "      <td>100.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>38.5</td>\n",
       "      <td>61.5</td>\n",
       "      <td>1932702154306145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7</td>\n",
       "      <td>19</td>\n",
       "      <td>WEST BENGAL</td>\n",
       "      <td>327</td>\n",
       "      <td>Darjiling</td>\n",
       "      <td>02154</td>\n",
       "      <td>Darjeeling Pulbazar</td>\n",
       "      <td>306146</td>\n",
       "      <td>0000</td>\n",
       "      <td>Rimbick</td>\n",
       "      <td>...</td>\n",
       "      <td>0.7</td>\n",
       "      <td>1.8</td>\n",
       "      <td>28.1</td>\n",
       "      <td>53.6</td>\n",
       "      <td>83.5</td>\n",
       "      <td>16.4</td>\n",
       "      <td>0.1</td>\n",
       "      <td>51.2</td>\n",
       "      <td>48.8</td>\n",
       "      <td>1932702154306146</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2 rows × 37 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0 state-code        state district-code district-name teh-code  \\\n",
       "0           6         19  WEST BENGAL           327    Darjiling     02154   \n",
       "1           7         19  WEST BENGAL           327    Darjiling     02154   \n",
       "\n",
       "              teh-name vill-code ward-no         area-name        ...         \\\n",
       "0  Darjeeling Pulbazar    306145    0000  Singalila Forest        ...          \n",
       "1  Darjeeling Pulbazar    306146    0000           Rimbick        ...          \n",
       "\n",
       "  transport-cycle  transport-motorized  no-assets  \\\n",
       "0             0.0                  0.0       37.3   \n",
       "1             0.7                  1.8       28.1   \n",
       "\n",
       "   banking-services-availability  cook-fuel-natural  cook-fuel-processed  \\\n",
       "0                           25.5              100.0                  0.0   \n",
       "1                           53.6               83.5                 16.4   \n",
       "\n",
       "   no-cooking  bathroom-within  bathroom-outside        village-id  \n",
       "0         0.0             38.5              61.5  1932702154306145  \n",
       "1         0.1             51.2              48.8  1932702154306146  \n",
       "\n",
       "[2 rows x 37 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>res-good</th>\n",
       "      <th>res-bad</th>\n",
       "      <th>rooms-under-3</th>\n",
       "      <th>rooms-over-3</th>\n",
       "      <th>household-size-under-5</th>\n",
       "      <th>household-size-over-5</th>\n",
       "      <th>owned</th>\n",
       "      <th>not-owned</th>\n",
       "      <th>water-treated</th>\n",
       "      <th>...</th>\n",
       "      <th>has-phone</th>\n",
       "      <th>transport-cycle</th>\n",
       "      <th>transport-motorized</th>\n",
       "      <th>no-assets</th>\n",
       "      <th>banking-services-availability</th>\n",
       "      <th>cook-fuel-natural</th>\n",
       "      <th>cook-fuel-processed</th>\n",
       "      <th>no-cooking</th>\n",
       "      <th>bathroom-within</th>\n",
       "      <th>bathroom-outside</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.00000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "      <td>36889.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1653.763588</td>\n",
       "      <td>32.915677</td>\n",
       "      <td>12.979265</td>\n",
       "      <td>88.942929</td>\n",
       "      <td>11.056215</td>\n",
       "      <td>55.895242</td>\n",
       "      <td>44.104118</td>\n",
       "      <td>96.720987</td>\n",
       "      <td>3.278771</td>\n",
       "      <td>25.240161</td>\n",
       "      <td>...</td>\n",
       "      <td>35.922446</td>\n",
       "      <td>64.032034</td>\n",
       "      <td>7.132354</td>\n",
       "      <td>25.326799</td>\n",
       "      <td>41.51254</td>\n",
       "      <td>96.641039</td>\n",
       "      <td>3.169801</td>\n",
       "      <td>0.188943</td>\n",
       "      <td>15.727539</td>\n",
       "      <td>84.272653</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1572.981654</td>\n",
       "      <td>25.250611</td>\n",
       "      <td>14.317890</td>\n",
       "      <td>11.721506</td>\n",
       "      <td>11.721812</td>\n",
       "      <td>11.405772</td>\n",
       "      <td>11.405637</td>\n",
       "      <td>8.167352</td>\n",
       "      <td>8.167371</td>\n",
       "      <td>33.385977</td>\n",
       "      <td>...</td>\n",
       "      <td>19.964299</td>\n",
       "      <td>21.522248</td>\n",
       "      <td>7.312026</td>\n",
       "      <td>17.586108</td>\n",
       "      <td>29.27821</td>\n",
       "      <td>7.370984</td>\n",
       "      <td>7.265591</td>\n",
       "      <td>0.967669</td>\n",
       "      <td>17.984686</td>\n",
       "      <td>17.984328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>592.000000</td>\n",
       "      <td>12.600000</td>\n",
       "      <td>2.500000</td>\n",
       "      <td>84.900000</td>\n",
       "      <td>3.200000</td>\n",
       "      <td>49.000000</td>\n",
       "      <td>36.600000</td>\n",
       "      <td>96.800000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.300000</td>\n",
       "      <td>...</td>\n",
       "      <td>21.700000</td>\n",
       "      <td>51.100000</td>\n",
       "      <td>2.500000</td>\n",
       "      <td>12.300000</td>\n",
       "      <td>17.00000</td>\n",
       "      <td>96.600000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.100000</td>\n",
       "      <td>76.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1207.000000</td>\n",
       "      <td>28.600000</td>\n",
       "      <td>8.800000</td>\n",
       "      <td>92.100000</td>\n",
       "      <td>7.900000</td>\n",
       "      <td>56.800000</td>\n",
       "      <td>43.200000</td>\n",
       "      <td>98.800000</td>\n",
       "      <td>1.200000</td>\n",
       "      <td>5.600000</td>\n",
       "      <td>...</td>\n",
       "      <td>34.600000</td>\n",
       "      <td>67.000000</td>\n",
       "      <td>5.400000</td>\n",
       "      <td>22.100000</td>\n",
       "      <td>36.10000</td>\n",
       "      <td>99.100000</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.300000</td>\n",
       "      <td>90.700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2091.000000</td>\n",
       "      <td>47.800000</td>\n",
       "      <td>18.400000</td>\n",
       "      <td>96.800000</td>\n",
       "      <td>15.100000</td>\n",
       "      <td>63.400000</td>\n",
       "      <td>51.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>3.200000</td>\n",
       "      <td>43.100000</td>\n",
       "      <td>...</td>\n",
       "      <td>48.600000</td>\n",
       "      <td>80.400000</td>\n",
       "      <td>9.600000</td>\n",
       "      <td>35.000000</td>\n",
       "      <td>63.00000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>3.100000</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>23.700000</td>\n",
       "      <td>97.900000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>7431.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.100000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.100000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.100000</td>\n",
       "      <td>...</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>200.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.00000</td>\n",
       "      <td>100.100000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         Unnamed: 0      res-good       res-bad  rooms-under-3  rooms-over-3  \\\n",
       "count  36889.000000  36889.000000  36889.000000   36889.000000  36889.000000   \n",
       "mean    1653.763588     32.915677     12.979265      88.942929     11.056215   \n",
       "std     1572.981654     25.250611     14.317890      11.721506     11.721812   \n",
       "min        5.000000      0.000000      0.000000       0.000000      0.000000   \n",
       "25%      592.000000     12.600000      2.500000      84.900000      3.200000   \n",
       "50%     1207.000000     28.600000      8.800000      92.100000      7.900000   \n",
       "75%     2091.000000     47.800000     18.400000      96.800000     15.100000   \n",
       "max     7431.000000    100.000000    100.000000     100.100000    100.000000   \n",
       "\n",
       "       household-size-under-5  household-size-over-5         owned  \\\n",
       "count            36889.000000           36889.000000  36889.000000   \n",
       "mean                55.895242              44.104118     96.720987   \n",
       "std                 11.405772              11.405637      8.167352   \n",
       "min                  0.000000               0.000000      0.000000   \n",
       "25%                 49.000000              36.600000     96.800000   \n",
       "50%                 56.800000              43.200000     98.800000   \n",
       "75%                 63.400000              51.000000    100.000000   \n",
       "max                100.100000             100.000000    100.000000   \n",
       "\n",
       "          not-owned  water-treated        ...            has-phone  \\\n",
       "count  36889.000000   36889.000000        ...         36889.000000   \n",
       "mean       3.278771      25.240161        ...            35.922446   \n",
       "std        8.167371      33.385977        ...            19.964299   \n",
       "min        0.000000       0.000000        ...             0.000000   \n",
       "25%        0.000000       0.300000        ...            21.700000   \n",
       "50%        1.200000       5.600000        ...            34.600000   \n",
       "75%        3.200000      43.100000        ...            48.600000   \n",
       "max      100.000000     100.100000        ...           100.000000   \n",
       "\n",
       "       transport-cycle  transport-motorized     no-assets  \\\n",
       "count     36889.000000         36889.000000  36889.000000   \n",
       "mean         64.032034             7.132354     25.326799   \n",
       "std          21.522248             7.312026     17.586108   \n",
       "min           0.000000             0.000000      0.000000   \n",
       "25%          51.100000             2.500000     12.300000   \n",
       "50%          67.000000             5.400000     22.100000   \n",
       "75%          80.400000             9.600000     35.000000   \n",
       "max         100.000000           200.000000    100.000000   \n",
       "\n",
       "       banking-services-availability  cook-fuel-natural  cook-fuel-processed  \\\n",
       "count                    36889.00000       36889.000000         36889.000000   \n",
       "mean                        41.51254          96.641039             3.169801   \n",
       "std                         29.27821           7.370984             7.265591   \n",
       "min                          0.00000           0.000000             0.000000   \n",
       "25%                         17.00000          96.600000             0.000000   \n",
       "50%                         36.10000          99.100000             0.700000   \n",
       "75%                         63.00000         100.000000             3.100000   \n",
       "max                        100.00000         100.100000           100.000000   \n",
       "\n",
       "         no-cooking  bathroom-within  bathroom-outside  \n",
       "count  36889.000000     36889.000000      36889.000000  \n",
       "mean       0.188943        15.727539         84.272653  \n",
       "std        0.967669        17.984686         17.984328  \n",
       "min        0.000000         0.000000          0.000000  \n",
       "25%        0.000000         2.100000         76.300000  \n",
       "50%        0.000000         9.300000         90.700000  \n",
       "75%        0.100000        23.700000         97.900000  \n",
       "max      100.000000       100.000000        100.000000  \n",
       "\n",
       "[8 rows x 26 columns]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(36889, 37)"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index([u'Unnamed: 0', u'state-code', u'state', u'district-code',\n",
       "       u'district-name', u'teh-code', u'teh-name', u'vill-code', u'ward-no',\n",
       "       u'area-name', u'rural/urban', u'res-good', u'res-bad', u'rooms-under-3',\n",
       "       u'rooms-over-3', u'household-size-under-5', u'household-size-over-5',\n",
       "       u'owned', u'not-owned', u'water-treated', u'water-untreated',\n",
       "       u'water-natural', u'electric-like', u'oil-like', u'no-lighting',\n",
       "       u'electronics', u'has-phone', u'transport-cycle',\n",
       "       u'transport-motorized', u'no-assets', u'banking-services-availability',\n",
       "       u'cook-fuel-natural', u'cook-fuel-processed', u'no-cooking',\n",
       "       u'bathroom-within', u'bathroom-outside', u'village-id'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f_cols1=['res-good','water-treated','electric-like','electronics']\n",
    "X=data[f_cols1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(36889, 4)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pca=sklearn.decomposition.PCA()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_PCA=pca.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.40799544,  0.31190872,  0.16461163,  0.11548422])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X_PCA[:10,:2]\n",
    "np.savetxt('please.csv',X_PCA,delimiter=\",\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f5e67665050>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kBuGKUdBdVltElyp3dW69L8aQ7/W2hT0ZS71/07qx3uEJjWbRyyJ2bEdyloV9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\nSYckSWrCpEOSJDVh0iFJkpr4DW74nGNvblGxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6768c9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_PCA[:1000,0],X_PCA[:1000,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Make a new data frame\n",
    "new=pd.DataFrame(data['village-id'],copy=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(36893, 1)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>village-id</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>36884</th>\n",
       "      <td>1934502494347129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36885</th>\n",
       "      <td>1934502494347130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36886</th>\n",
       "      <td>1934502494347131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36887</th>\n",
       "      <td>1934502494347132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36888</th>\n",
       "      <td>1934502494347133</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             village-id\n",
       "36884  1934502494347129\n",
       "36885  1934502494347130\n",
       "36886  1934502494347131\n",
       "36887  1934502494347132\n",
       "36888  1934502494347133"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "new=new.ix[:36889]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#new.insert(1,'X1',X_PCA[:,0])\n",
    "new.insert(2,'X2',X_PCA[:,1])\n",
    "new.insert(3,'X3',X_PCA[:,2])\n",
    "new.insert(4,'X4',X_PCA[:,3])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>village-id</th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "      <th>X3</th>\n",
       "      <th>X4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>36884</th>\n",
       "      <td>1934502494347129</td>\n",
       "      <td>-27.591858</td>\n",
       "      <td>-40.140755</td>\n",
       "      <td>11.414751</td>\n",
       "      <td>-6.617667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36885</th>\n",
       "      <td>1934502494347130</td>\n",
       "      <td>11.945916</td>\n",
       "      <td>-41.448562</td>\n",
       "      <td>1.449178</td>\n",
       "      <td>-10.217860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36886</th>\n",
       "      <td>1934502494347131</td>\n",
       "      <td>-38.612016</td>\n",
       "      <td>2.890756</td>\n",
       "      <td>-18.748522</td>\n",
       "      <td>-11.079964</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36887</th>\n",
       "      <td>1934502494347132</td>\n",
       "      <td>-67.066648</td>\n",
       "      <td>-19.256691</td>\n",
       "      <td>6.710524</td>\n",
       "      <td>-4.189283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36888</th>\n",
       "      <td>1934502494347133</td>\n",
       "      <td>-43.783301</td>\n",
       "      <td>-2.856648</td>\n",
       "      <td>10.805646</td>\n",
       "      <td>-16.534902</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             village-id         X1         X2         X3         X4\n",
       "36884  1934502494347129 -27.591858 -40.140755  11.414751  -6.617667\n",
       "36885  1934502494347130  11.945916 -41.448562   1.449178 -10.217860\n",
       "36886  1934502494347131 -38.612016   2.890756 -18.748522 -11.079964\n",
       "36887  1934502494347132 -67.066648 -19.256691   6.710524  -4.189283\n",
       "36888  1934502494347133 -43.783301  -2.856648  10.805646 -16.534902"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "new.to_csv('workThisTime.csv',delimiter=',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_hist(col,bins):\n",
    "    num_rows=len(data[col])\n",
    "    plt.hist(data[col],bins=bins,weights=np.zeros(num_rows)+1./num_rows)\n",
    "    plt.xlabel('Percentage')\n",
    "    plt.ylabel('Number of villages')\n",
    "    fig_name=col+'.png'\n",
    "    plt.title(col)\n",
    "    plt.savefig(fig_name)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mZOaDZZXNqRk8m5nzgAOBDwE3AfsC+2TmrWWVVeU1LgVup1iP5ZfAW8ueHEmSNE50MmZl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e660b7210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AWuB24Jll+aci4pRWgoiIw4HzgDOA2cCtwKKImN7kkmnAXcDJwP1N6vw18ClgX+BVwBTg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\ndgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e669c5e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RSZJ0N6cqa7gxK+/t214A7AM8A3jPrCOSJEnqMcyYleMHlSd5NfDoWUckSZLU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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66a0e050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0+8E9Bngz8OYkbxyp4DPvi3vTTHr5B5qV4dcxwWd8Cs3/E3vT/Nx5\nGs3kl4mrqln/As4Dju34HOBa4M3THdvm+KLZYmEN8JT28x/T/JB/Xkedndo6T5zueGfqC7gPzTKs\newH/DRzt856yZ/1+4AcbqHMdcFjH5z8G7gT+brrjn4kv4BvAiV1lXwJO8plP2TNfAzy3q2zcZ9wm\nKWuAXTvq7Eszw3f7id571resdGyk2LnpYQHjbaSojXNfmgz95vbzQppp9J1/B1cAS/HvYGN8DPhG\nVX2vq/wJ+Lz77TnABUlObbs6Fyd59cjBdlXt9TZXBUY2V9Xk/QTYO8mjAJI8HngyzX4MPvNNYILP\n+C+BW6rqoo5Tz6b5HbDHRO81EOusTLNeNlJUj9rViT8M/KjWrouzPXBX+x95pwlsPKnRJHkRsAtN\nYtJtO3ze/fYI4PU03cnvpWkOPy7Jyqr6LM1z7XFzVY3h/TT/iv95krtphjX8W1V9vj3uM596E3nG\n2wO/7TxYVXcnuZlJ/D2YrGhTOx7YGXjKdAeyuUqyI01C+KyqWjXd8cwSWwDnV9XItrOXJHkszarc\nn52+sDZrBwEvBl4EXE6TnB+b5Lo2QdRmZNZ3AwHLaPZg366rfDvghk0fzuYryUeBZwPPqKrrOg7d\nAGzV7t/Uyb+D3iwEHgAsTrIqySrg6cA/JbmL5l89W/u8++p61m49PWIJ8JD2/Q00Y+H8OdM/HwTe\nV1VfrKqfVdXngGNotmEBn/mmMJFnfAOwzkzDJHOA+zOJv4dZn6y0//Ic2UgRWGcjxZ9MV1ybmzZR\nORB4ZlUt7Tp8Ic1gq86/g51oftCfu8mC3HycDTyO5l+aj29fFwAnd7xfhc+7n37M+t3GOwFXQ7O5\nKs0P5s5nPrK5qj9nejOP9WenrKH9veYzn3oTfMbnAvdNsmvHqXvTJDk/nei97AZqHA0sand/HtlI\ncR7N5oraSEmOp9ls8rnA7UlGsvDlVbWiqv6Q5JPA0UluAW6l2VH7x1V1/vREPXNV1e00zeL3SHI7\n8LuqWtJ+9nn31zHAj5O8FTiV5of1q4HXdNT5MPD2JL9g7eaq1wJf27Shbja+AfxbkmuAnwG70fzs\n/kRHHZ/5RmrXQ3kkTXIB8Ih2MPPNVXUNG3jGVfXzJGcBJyZ5PbAVzVIWw1U18Rau6Z4KNSgvmjnk\nv6aZcnUu8ITpjmlzedH8a+fuUV4v66izdfsf8DKaX55fBB443bFvLi/ge7RTl33eU/aMnw1cCtxB\n88vz4FHqvItmqucdwFnAI6c77pn6oln/42jgKpq1Pa4E3g1s6TPv63N++hg/wz810WdMMwP0ZGA5\nzdpDJwLzJhOHGxlKkqSBNuvHrEiSpMFmsiJJkgaayYokSRpoJiuSJGmgmaxIkqSBZrIiSZIGmsmK\nJEkaaCYrkiRpoJmsSJKkgWayImk9ST6dZE2Su5OsTHJlkn9PMtA/M5I8vY27e0dpSTOYGxlKGssZ\nwCuAbWj2vTkeuAv4wGQvlGRuNTucT7XQ7MSbDVWUNHMM9L+SJE2rlVV1U1VdU1UnAGfT7JxNkqck\n+WGSO5JcneTYJPNGTkxyVZK3J/lMkuXACW35g5MMJ/ldktuSnJ9k947zDkxyYZI7k/wiyTuSzOk4\nvibJq5J8OcntSf4vyXPaYw+l2bAR4Ja2VehT7bF9k5yT5JYky5J8I8kjOr9skicluai99/ltLGuS\n/EVHnccm+VaSW5PckOSkJH/S5+cuqYvJiqSJuhPYqv0lfwbNTs2PBQ4Cnkyzi3OnfwEuBnYB3tNu\nNf9DYAfgAOAvgA/S/hxK8lTgM8AxwGOA1wEvB97Wdd13AJ8HHgd8C/hckvsC1wAvaOs8qr3PP7Wf\n7w0cBewG7EWza+xXRi6Y5I+ArwOXALsC/07TglQddbYFvgtc2F5nX+CBwBc2+OQkbRR3XZa0niSf\nBratque3n58FfAM4Drg/sLqqXt9R/ynA92m2fb8ryVXAhVX1tx11XkuTnDy0qpaPcs/vAGdX1Qc6\nyl4CfLCqHtx+XgMcWVXvaj/PA24D9quqbyd5Ok3ryv2q6g/jfL/5wG+Bx1bV5UkOAY4Edqyqu9o6\nrwI+DuxaVZcm+TfgKVW1f8d1dgSWAo+uql9s+MlK6oVjViSN5TlJbgXm0owB+RzwLuAHwOOSvLSj\n7sgYkYcDV7TvL+y63uOBi0ZLVDqOPynJ2zvK5tC05mxTVSvasstGDlbVHUn+QNPCMaYkj6RJRvYA\n5tO05hTwEOBy4NHApSOJSut81h378nhgr/aZdCrgzwCTFWmKmKxIGsv3gEOAVcB1VbUGIMl9aMag\nHMv6A1mXdry/vevYnRu4331ouni+3H2gI1GhjWedw2y4S/ubwFXAq4Hr2vo/A7bawHnd8X0deDPr\nf+/rJ3EdSZNksiJpLLdX1VWjlC8Gdh7j2HguBV6V5L5V9fsxrrtTVf1qsoF2GGkZ6RyUe3+alpNX\nVdWP27KndJ13BfCSrllLT6RjzEob3/OBq0cSN0mbhgNsJU3WB2i6az6S5PFJHtnOnOkeYNttGLgR\n+Go78+bhSZ6fZI/2+JHAy9oZQDsneUySg5K8ZxKxXU2TYDwnyfx2UO8twO+A1yb5syR70Qy27UxE\nTqFJcE5s77svzQBhOup9jGa8zueTPCHJI9pZRp9K4lRpaQqZrEialKq6DHg6zYybH9K0OLwL+E1n\ntVHOWwXsQzOw9XSalpYjaGbmUFXfppkltA/NeJFzgX8Gfj3edTvLquo64J3A+4EbgI9UM4vgRcBC\nmvEuRwFv6ort1vbejwcuAt4DvLs9vKKtcz3NrKctgLPa+I8GbilnKkhTytlAkjSKdibSJ2lmRa2c\n7nik2cwxK5IEJPl74Fc0LUS70LTOfMFERZp+JiuS1NieZtzMdjSze74AvH3cMyRtEnYDSZKkgeYA\nW0mSNNBMViRJ0kAzWZEkSQPNZEWSJA00kxVJkjTQTFYkSdJAM1mRJEkDzWRFkiQNNJMVSZI00P5/\nv/IRK1gUMVwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6621bd10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4HkNjZtud4tTs/BRtM9u+OaAxs7YyMDCwbeZR7QHJ8KnZZjYxOKAxs7YxMDDA7Nk9DA5u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\nmZmZVd7f0FAuClBVTSYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e65df0510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zazEPAuOYPXt2swtiZiOsqoBG0tyhcyXVLnlgZjbyHiPNxFCccwbSqi2nNq1E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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6692d790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3iWX+TDrtV+dBJMkWwFLgn0faqqqSnAvssYHN9qAZQel1DvCSjR3vyiuvZLPN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\nGEQkSVJnDCKSJKkzBhFJktSZ/w9JX4mpisDmggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66b58b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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565TvsMNsbrhhiQmLJEnTYELJSlX9dKoDGUyrWbPmQeA8Hp6ms4SVKw9n+fLl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66547a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1+++BjYFvJvmLnjIfp3mf00uBZwAPAb68juPspDbxfR3Nv6tePrM+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\nIkmSOs1kRZIkddr/BwA5Nfj9Us/VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e672f5350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7wH5V9bSq+p/5BJHkAOBw4FCa59acDZySZNUMhzwO+BTweOAxwM+ALye553zi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\nPrI2ftwMP8P/adD2pZkpeTy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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6697d490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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55SoOOeQQli5dytKljs2VJGnZsmUsW7Zsg3U33ji/Q0InHlaqal2S5cCBwOkA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\nzgBeAmxL87yek4BbgWOH3VG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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66689910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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00rPyPuCIzJzfxXbMBeZHxBIenbo8DZgPEBELgLsy88Sy/tnAteUMn8uBQYpB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\nzbAiSZIqzbAiSZIq7f8DXYNw9tiuYusAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66764290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IkiQ15LwokiSp0kxWJElSpZmsSJKkSjNZkSRJlWayIkmSKq0yyUpEHB0Rt0XE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\n8qwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e660ff710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5yWOmf/RtgR3ar20HqF5r4g+Luec5n3ue87nnOV845sulmf2AY6vqBIAk+wDP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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6625a990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4vmm3cePGTa/M7HY4kiT1vHZaVl4CrCi/PhwIYAfgOOADHYqra/bee2+23nprtt56a446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\nVGkmK5IkqdJMViRJUqX9f77nuB/n7hFWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66f99190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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F28ysay1evJienp7n348fP54tttiigy0ys6EqEtD8H2B6RDxUNcp0D7BlS1pl\npZP/BeHtCqybLV68mMmTp9Dbu+L5srFjx3H33Ysc1JiVWJGAZn1gRY3yTYG+oTXHyqjWLwizbtXT\n05P9W63s/L6I3t4D6OnpcUBjVmJFApr5wAeAL2bvQ9JawNHAL1vVMCuPgb8gruGFfx5mnVd7w9P8\nitRmVnZFApqjgesl7QisB5wKvIbUQ/OmFrbNSqfyC8JDTtYtvOGp2WjR9CyniPgTaUG93wBXkoag\nfghsHxF/bW3zzMyGwhuemo0WRXpoiIjlwJda3BYrieoZIk4Ctu7nDU/NRrpCAY2kTUgbVE7Jiu4C\nvhMRj7eqYdadnABsZmbdqOmARtJbgB8Dy4E/ZMWfBo6TtFdE/LqF7bMuMzABGJwEbJ1UO+HXzEab\nIj00XyctovfJiFgFIGlt4Nzs2Ota1zzrXu7Ct05zwq+ZvaDIXk7bAKdXghmA7OfZ2TEzs2HghF8z\ne0GRHpqFpD/P764qnwLcPuQWmZk1xb2FZtZgQCPp9bm3ZwNnSdoG+F1W9kbgEOCY1jbPzMzMbM0a\n7aG5DQggv3nTqTXqXULKr7ERwlO0bbSo/rftDSvNyqXRgGartrbCupKnaNvoUDu52BtWmpVLQwFN\nRDzQ7obY8KvufYH+f5V6iraNDvnk4sq/c29YaVY2RRfWeynwZmAzqmZKRcTZLWiXtVm93pfaf5U6\n6dJGA29WaVZmRRbW+xBwHvAc8A9Sbk1FkJKGrcvV7n3xX6VmZlZORXpoTgZOAr4SEatb3B4bdv6r\n1MzMyq/IwnrjgO87mDEzM7NuUSSg+Rawb6sbYmZmZlZUkSGnzwE/kfR24I/AyvzBiDiiFQ0zM+s0\nr01jVh5FA5rpvLD1QXVSsHWp/DRtL5BnNpjaa9OMGTOWuXMvZ9KkSYADHLNuUiSg+QzwkYi4oMVt\nsTbyInlmzai1Ns18+vqOYMaMGc/X8uJ7Zt2jSA5NH3Bjqxti7dV/mrZ3JTZrTGUW4A7AePrv7n0R\nvb0rBixOaWadUSSgOQv4VKsbYsOl8gXt3SzMiqn8NzRlTRXNbBgVGXLaGdhd0gzgTgYmBb+nFQ0z\nMzMza1SRgOYJ4Ietboh1j0rCsBOHzcysLJoOaCLiw+1oiKRDgCOBicDtwKci4veD1N+XtGLxy4G/\nAMdExLW54+8GDgKmApsC20XEHVXXGAPMBvYDxgDzgIMj4tHWfbIyqT2zw8zMrNsVyaFpOUn7AacD\nxwPbkwKW4/9FAAAZJklEQVSaeZLG16m/K3AJcD6wHXAlcIWkV+eqrQ/MB46m/nTyM4F3APsAbwFe\nCswd6ucpr/zMDicOm5lZeRTZnPI+BllvJiK2LtCOw4HzIuLC7B4HkQKNjwCn1qj/aeDaiJidvT9O\n0h7AocDBWTsuyq61JaAan2PD7PozI+JXWdmHgUWSdo6IWwp8jhGikvToISczMyuHIjk0Z1a9X5fU\nq/J24LRmLyZpXdKw0JcrZRERkq4Ddqlz2i6kHp28ecDeTdx6KunzX5+7792SFmfXH8UBjZmZWbkU\nyaE5q1Z5lgOzY4E2jAfWBpZWlS8FJtc5Z2Kd+hObuO9E4LmIeHKI1zEzM7MOK9JDU8+1wFeAtiQN\nd5fDgY2AVQCcdtppRASzZs3qaKvMzMy6wZw5c5gzZ06/suXLl7f1nq0MaN4LPF7gvB5SZDChqnwC\nsKTOOUuarF/vGutJ2rCql6aB65xByjF5BtiAo446ipkzZzZxazMbqfJ7plV4zycbbWbNmjXgj/yF\nCxcyderUtt2zSFLwrfRPChZpiOYlZAm5zYiIlZIWANOAq7J7KHt/dp3TbqpxfI+svOZtapQtAP6Z\nXedH2X0nA1sMch0zs7rq7ZnmPZ/M2q9ID80VVe9XA48BN0TEnwu2YzZwQRbY3EIa0xkHXAAg6ULg\noYg4Nqt/FnCDpCOAq4FZpCTfAysXlLQJKTh5GSnoelUWKC2JiKUR8aSkbwGzJS0DniIFSDeO7hlO\nZlZU/z3TKlsjLKK39wB6enoc0Ji1UZGk4BNb3YiIuDRbc+Yk0pDPbcD0iHgsq7I5qTelUv8mSfsD\nX8pe9wB7R8Rducu+E/gOqXcmgMpg3onZfSAFTquAy0kL6/0UOKTVn8/MRq78itov/FxZ+sDMhksr\nc2iGJCLOBc6tc2z3GmVzGWQRvIj4LvDdNdyzj7TRpjfbNLMmeWVts27ScEAjaTWDLKiXiYjomiDJ\nzKx98itrV4aXrgG+2LEWmY1mzQQf7x7k2C6k1Xu7YisFGzjTwhtNmrVLfnjJ/52ZdUrDAU1EXFld\nls0KOgXYC7gYOK51TbOi6s20MLPu5eneZkNTaHhI0ktJybUfJG05sF1E/KmVDbPias+0cFe4Wbfy\ndG+zoWtqiEjSRpK+CtwLvAaYFhF7OZjpVpWu8B2ArTrcFjOrp/8fIQuy10X09q4Y0GtjZrU1kxR8\nNPBZ0iq6s2oNQZmZ2VB4urdZUc0MOZ0CPEvqnfmgpA/WqhQR72lFw8zMzMwa1UxAcyFrnrZtZmZm\nNuyameX0oTa2w8xsRMsvneDZS2at50XwSqh6eqe/HM262cAVhceMGcvcuZczadIkwOtEmbWCA5qS\nqTW901M7zbpZ9YrC8+nrO4IZM2Z0tllmI4xX9i2ZgdM7PbXTrBwqM5jG80KAU5mifXIH22U2MriH\nprQ8vdOs3BrbMsG5N2aNcUAzQuS/9DwebzYSDMy98fCyWX0OaEpv4JeemY0E1bk3i+jtPYCenh4H\nNGY1OKApveovPfC+TWYjiYeXzRrhgGbEaGw83szMbCTyLCczMzMrPffQmJmVSHXSv2c+mSUOaLpI\n9QrA4C8rM6uoPQHAM5/MEgc0XaLWCsDgLyszq6g1AcAzn8wqHNB0if4rAPvLyszq8awns1oc0HQd\nf1mZmZk1ywGNmdkIU52P51w8Gw0c0JiZjSC18vGci2ejgQOaDsr/FeX9l8ysFQbm4zkXz0YHBzQd\nUm9Wk5lZazgfz0YXBzQdMvCvqPr7L3knbTMzs8E5oOm4yl9RtQIV76RtZmbWCAc0Xc07aZuZWTlV\nz7Zr9wiDA5pS8E7aZlafh6Wt23QiT9QBjZlZaXlY2rpT7dXv2zvC4IBmmAx315uZjQaND0tXf+f0\n9fUxZsyYfmVegM9ab/hGGBzQDANP0Taz9hrsl0a9Xpy1gVX9SrwAn5XZWp1uwGjQv+ttQfY6ubON\nMrNRIt+Lk//+WVVVdhG9vSv69SSblYl7aIaVk3vNrFNqff948T0bORzQmJlZTdW5f+A8G+teDmja\nwAnAZlZ29XL/nGdj3coBTYs5AdjMRoLa02690aV1Lwc0LdaJufdmZu3jPBsrh66Z5STpEEn3SXpW\n0u8k7bSG+vtKWpTVv13SnjXqnCTpYUkrJP1c0jZVx++XtDr3WiXp6NZ8osqXwA7AVq25pJmZmdXU\nFQGNpP2A04Hjge2B24F5ksbXqb8rcAlwPrAdcCVwhaRX5+p8FjgU+DiwM/BMds31cpcK4AvABGAi\nMAk4p6UfzszMzNquKwIa4HDgvIi4MCL+DBwErAA+Uqf+p4FrI2J2RNwdEccBC0kBTMVhwMkR8ZOI\n+BPwAeClwLuqrvV0RDwWEY9mr2db+cHMzMpk0aJFLFy40JMZrHQ6nkMjaV1gKvDlSllEhKTrgF3q\nnLYLqUcnbx6wd3bNrUk9LtfnrvmkpJuzcy/NnXeMpOOAxaRenzMiov/ymWvQ09PDwoULAc9oMrOy\n8r5QVm4dD2iA8aQ1uJdWlS8FJtc5Z2Kd+hOznyeQhpMGqwNwFqln53FgV+CU7PiRjTcfjjjiKFau\n7G3mFDOzLlO9L5QnM1i5dENA0zERcWbu7Z8krQT+V9LnImJlo9dJwYy/BMxsJKhMaKjf21zdE+3F\n9qwbdENA00PaVGRCVfkEYEmdc5asof4SQFnZ0qo6tw7SlptJz+TlwD31qx0ObET/jd0eAN6PtzQw\ns5Gr9rCUF9uzaj/96U+znyq/LwEeaus9O54UnPWELACmVcokKXv/2zqn3ZSvn9kjKyci7iMFNflr\nbgi8YZBrQpphtRp4dPBWnwFcRf9UnLcPfoqZWenV2ujSm1raQG9/e+V3YuX35VXAZ9p6z27ooQGY\nDVwgaQFwCymkGwdcACDpQuChiDg2q38WcIOkI4CrgVmkxOIDc9c8E/iCpHuB+0nbyz5EmuKNpDeS\nApxfAk+RcmhmA9+LiOXt+qBmZuXnxfas+3RFQBMRl2ZrzpxEGha6DZgeEY9lVTYH/pmrf5Ok/YEv\nZa97gL0j4q5cnVMljQPOAzYG5gN7RsRzWZU+YCZp7ZsxwH2kmVNntO2DmpmNUPm8GufUWCd0RUAD\nEBHnAufWObZ7jbK5wNw1XPME4IQ6x26l/rRwMzNryMC8GufUWCd0PIfGzMzKrDqvxjk11hld00Nj\nZmZl5rwa6yz30JiZmVnpOaAxMzOz0nNAY2ZmZqXngMbMzMxKz0nBZmbWct7vyYabAxozM2sh7/dk\nneGAxszMWii/Ls2UrGwRvb0HMH/+fKZMSWXusbFWc0BjZmZtkF+XZmCvzZgxY5k793ImTZr0fFmt\nIGfx4sX9FulzIGT1OKAxM7M2q+61mU9f3xHMmDGjX63qYanFixczefIUentX1K1jVuFZTmZmNkwq\nvTbj6b9dQu0tE3p6erJgxtsq2Jq5h8bMzDqk0e0SvK2CrZl7aMzMzKz0HNCYmZlZ6XnIyczMSsWL\n9lktDmjMzKwkvGif1echJzMzK4n89O/6s6NsdHIPjZmZlYxnPdlA7qExMzOz0nMPjZmZdY18wm91\n8q/ZYBzQmJlZF6id8NtO1ftEgWdMlZkDGjMz6wK1dum+BvhiQ2c3O5W71j5R4BlTZeaAxszMukg+\n4beRIadiU7n77xNVCaAW0dt7AD09PQ5oSsgBjZmZlVitnp0UmMyfP58pU1JZ/R4bz5gaKRzQmJnZ\nCJAPTAb22jQzlJQfvnJOTXk4oDEzsxGmutem0aGkoQVC1lkOaMzMbITqP5y05inhRQMh6wYOaMzM\nbIRrdkq482rKyCsFm5nZCFdrD6iTO9oiaz330JiZ2SjR7JTwrGaTa9xYZzigMTMzq6nxNW6qVx12\n0DP8HNCYmZnVVH+Nm3yicK1Vh8eMGcvcuZczadKk58sc5LSXAxozM7NBDUwSrp4x1X/V4fn09R3B\njBkz+p3jKeDt5YDGzMysYYPNmKoEPotopGcHPFTVSg5ozMzMGtbMJpqDT/+uNVTlXpziHNCYmZk1\nrdiMqbyBG2QO3IMK3GvTKAc0ZmZmw6T2asWV4KjYzuGWOKAxMzNru0ZWK25sVlWjRlt+jgMaMzOz\ntmtd7g2sOVgZjfk5DmjMzMyGzdBXK37kkUfYZ5996et79vmy6nVvBk4lH/kbbXZNQCPpEOBIYCJw\nO/CpiPj9IPX3BU4CXg78BTgmIq6tqnMS8DFgY+BG4JMRcW/u+CbA14AZpNB5LnBYRDzTuk9mZmZW\n1GBDVYOve5PU33EcRtYwVFcENJL2A04HPg7cAhwOzJP0yojoqVF/V+AS4LPA1cD7gSskbR8Rd2V1\nPgscCnwAuB/4n+yaUyLiuexSlwATgGnAesAFwHlAo1uympmZtdFgQ1WDrXtTPZxVOzAaSSsad0VA\nQwpgzouICwEkHQS8A/gIcGqN+p8Gro2I2dn74yTtQQpgDs7KDgNOjoifZNf8ALAUeBdwqaQpwHRg\nakTcmtX5FHC1pCMjYkkbPqeZmVkBjQxVDVanVmBUu2enOsjp6+tjzJgx/erUKut0INTxgEbSusBU\n4MuVsogISdcBu9Q5bRdSj07ePGDv7Jpbk4aurs9d80lJN2fnXgq8EVhWCWYy1wEBvAG4cggfy8zM\nrAtVBz2NBDlrA6uqrjOwLB8IVQ9tDYeOBzTAeNKTWVpVvhSYXOeciXXqT8x+nkAKTAarMxF4NH8w\nIlZJejxXp47K/1HPDlrLzMys+w0W5FSGrmoNZ625t2c4dUNAUyZj0//USrG5hvQP4caq9zRY1o3n\ndWObRvp53dimkX5eN7ZppJ/XjW0a6ec1e+37sv99uOp9vbK7SYHQR4FJwB9JAx21rl35XdpiEdHR\nF7AusBJ4Z1X5BcCP6pzzAPDpqrITgFuzn7fKnuzrq+rcAJyR/fxh4B9Vx9fO2rJ3nfvuT+r58csv\nv/zyyy+/ir32b0c80fEemohYKWkBaabRVQCSlL0/u85pN9U4vkdWTkTcJ2lJVueO7JobknJjvp67\nxsbZzKhKHs00QMDNde47jzSj6n6gt6kPamZmNrqNJS21Mq8dF1fW89BRkt5H6pE5iBembb8XeFVE\nPCbpQuChiDg2q78Lqbflc6Rp27OAY4AdctO2jyZN6/4QKQA5GXgN8JrKtG1J1wCbAZ8kTdv+NnBL\nRPxXuz+zmZmZtU7He2gAIuJSSeNJC+VNAG4DpkfEY1mVzYF/5urfJGl/4EvZ6x7SMNFduTqnShpH\nWldmY2A+sGduDRpIQ0hfI81uWg1cTprubWZmZiXSFT00ZmZmZkOxVqcbYGZmZjZUDmjMzMys9BzQ\nNEHSIZLuk/SspN9J2qnTbRoJJH1O0i2SnpS0VNKPJL2yqs4YSV+X1CPpKUmXS9qsU20eaSQdI2m1\npNm5Mj/zFpP0Uknfy57pCkm3S9qhqs5Jkh7Ojv9c0jadam/ZSVpL0smS/pY9z3slfaFGPT/zgiT9\nu6SrJP09+w55Z406gz5fSZtIuljScknLJH1T0vrNtsUBTYNyG2geD2xP2hF8XpbMbEPz78A5pGn1\nbyOtTfQzSf+Sq3MmaX+vfYC3AC8l7Y5uQ5QF5h8n/ZvO8zNvIUkbk1YW6yPtIzcF+AywLFensqnu\nx4GdgWdI3zPrDXuDR4ZjgE+Q9vh7FXA0cLSkQysV/MyHbH3SRJ6DSWvM9NPg872E9N/DNNJ3zltI\nE3qa0+mF9cryAn4HnJV7L+Ah4OhOt22kvUjbYawG3py935D0S+DduTqTszo7d7q9ZX4BG5CW+Nwd\n+CUw28+8bc/6FOBXa6jzMHB47v2GpD1W3tfp9pfxBfwYOL+q7HLgQj/ztjzv1QxcJHfQ55sFMquB\n7XN1ppNmNk9s5v7uoWlAbgPN/GaXQZruXW8DTStuY1Kk/3j2fippiYH8878bWIyf/1B9HfhxRPyi\nqnxH/MxbbS/gD5IuzYZWF0r6WOWgpK2osakuaaFPP/NifgtMk/QKAEnbAm8ircfvZ95mDT7fNW0U\n3bCuWIemBIpsoGkFZKtEnwn8Jl5YV2gi8Fz2H0JefrNRa5KkmcB2pOCl2gT8zFtta9IinqeT1s/a\nGThbUl9EfI/0XIPBN9W15pxC6hH4s6RVpDSLz0fE97Pjfubt1cjzHcJG0f05oLFucy7wauDNnW7I\nSCZpc1Lg+LaIWNnp9owSa5FWIv9i9v52Sa8lrZD+vc41a0Tbj7SA6kzgLlIAf5akh7Mg0kYQDzk1\npgdYRfqrNW8CsGT4mzMySfoa8J/Af0TEw7lDS4D1sv248vz8i5sKvARYKGmlpJXAbsBhkp4j/QU1\nxs+8pR7hhW2HKxYBW2Q/LyHl5vl7pnVOBb4SEZdFxJ0RcTFwBmnbHPAzb7dGnu8S0hZEz5O0NrAp\nTf5/4ICmAdlfsJUNNIF+G2j+tlPtGkmyYGZv4K0Rsbjq8AJSglj++U8m/SK4adgaObJcB7yO9Bfr\nttnrD8BFuZ9X4mfeSjcycIh6MvAApE11SV/g+Wde2VTX3zPFjGPgzJvVZL/7/Mzbq8Hn+/xG0blT\n17RRdE0ecmrcbOCCbGfwygaa40ibatoQSDqXtMHoO4FnJFWi+eUR0RsRT0r6FjBb0jLgKdJO6zdG\nxC2daXW5RcQzpC7450l6BvhHRCzK3vuZt9YZwI2SPgdcSvpS/xhwYK7OmcAXJN3LC5vqPgRcObxN\nHTF+DHxe0oPAncAOpO/ub+bq+JkPQbZezDakAARg6yz5+vGIeJA1PN+I+LOkecD5kiobRZ8DzImI\n5nrJOj3Nq0wv0jz7+0lTzm4Cdux0m0bCi/QX06oarw/k6ozJ/pH3kH65XgZs1um2j6QX8Auyadt+\n5m17xv8J3AGsIP2C/UiNOieQprquAOYB23S63WV9kdZImQ3cR1r/5B7gRGAdP/OWPePd6nyHf7vR\n50ua2XoRsJy0LtP5wLhm2+LNKc3MzKz0nENjZmZmpeeAxszMzErPAY2ZmZmVngMaMzMzKz0HNGZm\nZlZ6DmjMzMys9BzQmJmZWek5oDEzM7PSc0BjZmZmpeeAxsyaJuk7klZLWiWpT9I9kr4oqau/UyTt\nlrW7ehdxMys5b05pZkVdC3wIGEvao+hc4Dngq81eSNK6kXa1bzeRdl/WmiqaWbl09V9TZtbV+iLi\nsYh4MCLOA64j7ZiOpDdL+rWkFZIekHSWpHGVEyXdJ+kLkr4raTlwXlb+MklzJP1D0tOSbpG0U+68\nvSUtkPSspHslHSdp7dzx1ZI+KumHkp6R9BdJe2XHtiRtwAmwLOtd+nZ2bLqk+ZKWSeqR9GNJW+c/\nrKRdJd2a3fuWrC2rJb0+V+e1kq6R9JSkJZIulPTiFj93M6vBAY2ZtcqzwHpZIHAtaXfu1wL7AW8i\n7dyd9xngNmA74GRJ6wO/BiYBM4DXA6eSfU9J+nfgu8AZwKuATwAfBI6tuu5xwPeB1wHXABdL2hh4\nENgnq/OK7D6HZe/XB04HdgB2J+0W/KPKBSW9CLgKuB3YHvgiqScqcnU2Aq4HFmTXmQ5sBvxgjU/O\nzIbMu22bWdMkfQfYKCLek71/G/Bj4GxgU+CfEfHJXP03AzcA4yLiOUn3AQsi4r25Oh8nBTBbRsTy\nGvf8OXBdRHw1V/Z+4NSIeFn2fjVwUkSckL0fBzwNvD0ifiZpN1IvzSYR8eQgn2888Cjw2oi4S9JB\nwEnA5hHxXFbno8A3gO0j4g5JnwfeHBF75q6zObAYeGVE3LvmJ2tmRTmHxsyK2kvSU8C6pJyUi4ET\ngF8Br5N0QK5uJWdlK+Du7OcFVdfbFri1VjCTO76rpC/kytYm9QqNjYjerOyPlYMRsULSk6Sekrok\nbUMKWN4AjCf1CgWwBXAX8Ergjkowk7mF/rk42wK7Z88kL4B/AxzQmLWRAxozK+oXwEHASuDhiFgN\nIGkDUk7MWQxMvl2c+/mZqmPPruF+G5CGk35YfSAXzJC1p99h1jy8/hPgPuBjwMNZ/TuB9dZwXnX7\nrgKOZuDnfqSJ65hZAQ5ozKyoZyLivhrlC4FX1zk2mDuAj0raOCKeqHPdyRHxt2YbmlPpYcknEm9K\n6oH5aETcmJW9ueq8u4H3V83G2plcDk3WvvcAD1SCOzMbPk4KNrNW+yppaOgcSdtK2iabEVSdFFxt\nDrAUuCKbUbSVpPdIekN2/CTgA9nMpldLepWk/SSd3ETbHiAFIXtJGp8lIi8D/gF8XNK/SdqdlCCc\nD1YuIQVB52f3nU5KaiZX7+uk/KHvS9pR0tbZ7KlvS/I0cbM2c0BjZi0VEX8EdiPNJPo1qefiBODv\n+Wo1zlsJ7EFKxr2a1GPzWdKMIyLiZ6TZT3uQ8lduAv4buH+w6+bLIuJh4HjgFGAJcE6kmREzgamk\n/JvTgSOr2vZUdu9tgVuBk4ETs8O9WZ1HSLO51gLmZe2fDSwLz74wazvPcjIzKyCbYfUt0myvvk63\nx2y0cw6NmVkDJP0X8DdST9N2pF6eHziYMesODmjMzBozkZTHM4E0a+kHwBcGPcPMho2HnMzMzKz0\nnBRsZmZmpeeAxszMzErPAY2ZmZmVngMaMzMzKz0HNGZmZlZ6DmjMzMys9BzQmJmZWek5oDEzM7PS\nc0BjZmZmpff/AU1th23urUDMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e668d98d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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k6XGEZtZrf6QAeKq1JGk8GNDMIvU1M623TK97pEA3U1CerSRJGhYD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e665b3e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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r57HxocuSJEldNZLRQG8fxTgkSZJacl4USZJUayYrkiSp1kxWJElSrZmsSJKk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\n/wcUCW7enqcwEwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e65df3950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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atv8cmJnVopaVgt/fiIaMNOVWhDUzM7OBq3natqTtJE2R9KrsuwbTEEnHSFog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\nZ3WOAL4J7BwRD0n6IvDuiNgnd52tgG5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e6635b310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MzPrQTAvNpsDD+edlpK0OAO5gzXKAZmZmZgOmmYDmXtZM154HfE7Sq4BDgYda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\n0N7LRiL7dMUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66392890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ANAUTEUmS1BkTEUmS1BkTEUmS1BkTEUmS1BkTEUmS1BkTEUmS1BkTEUmS1BkT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\n8/8B6HLt1oQnFEoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e669ad750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Shm+jrgMYRFWdDZw9tp3kLOBi4HU040wmcQiwJXARy5dfxz777MOiRYtYtGjRzAUsSdJ6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\ncQB4VDso+LdV9UvW0r5V9bM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e662be110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2ArbrughJkkbSCI+ISJKkrs2aIJJk/yRXJLktyXlJdlhN/79Jcmnb/ydJnjtT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\nGEQkSVJnDCKSJKkz/x9RFfWGej9wRgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e65f21fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9ewWtaF8nc8cdt7F69ep5jUySpIXAlpWxca8gSZJmgy0rkiSp00xWJElSp5ms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\nNeRPvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e65d69d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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O67KSJC0oy5YtY/Hixey0007ACmApcCyw+6xdc96TldbBwFFt0nI6Taq2BXAUQJKjgSuq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\nq+qXVXU4cArNk7NJ8owk309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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5e66f348d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "features = data.columns[11:-1]\n",
    "for i in features:\n",
    "    make_hist(i,100)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}