mimic-iii/notebooks/aline/aline.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Arterial line study\n",
    "\n",
    "This notebook reproduces the arterial line study in MIMIC-III. The following is an outline of the notebook:\n",
    "\n",
    "1. Generate necessary materialized views in SQL\n",
    "2. Combine materialized views and acquire a single dataframe\n",
    "3. Write this data to file for use in R\n",
    "\n",
    "The R code then evaluates whether an arterial line is associated with mortality after propensity matching.\n",
    "\n",
    "Note that the original arterial line study used a genetic algorithm to select the covariates in the propensity score. We omit the genetic algorithm step, and instead use the final set of covariates described by the authors. For more detail, see:\n",
    "\n",
    "> Hsu DJ, Feng M, Kothari R, Zhou H, Chen KP, Celi LA. The association between indwelling arterial catheters and mortality in hemodynamically stable patients with respiratory failure: a propensity score analysis. CHEST Journal. 2015 Dec 1;148(6):1470-6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "\n",
    "# Import libraries\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import psycopg2\n",
    "import os\n",
    "\n",
    "# below is used to print out pretty pandas dataframes\n",
    "from IPython.display import display, HTML\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "def execute_query_safely(sql, con):\n",
    "    cur = con.cursor()\n",
    "    \n",
    "    # try to execute the query\n",
    "    try:\n",
    "        cur.execute(sql)\n",
    "    except:\n",
    "        # if an exception, rollback, rethrow the exception - finally closes the connection\n",
    "        cur.execute('rollback;')\n",
    "        raise\n",
    "    finally:\n",
    "        cur.close()\n",
    "    \n",
    "    return\n",
    "        \n",
    "\n",
    "# location of the queries to generate aline specific materialized views\n",
    "aline_path = './'\n",
    "\n",
    "# location of the queries to generate materialized views from the MIMIC code repository\n",
    "concepts_path = '../../concepts/'\n",
    "\n",
    "# specify user/password/where the database is\n",
    "sqluser = 'postgres'\n",
    "sqlpass = 'postgres'\n",
    "dbname = 'mimic'\n",
    "schema_name = 'mimiciii'\n",
    "host = 'localhost'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# connect to the database\n",
    "con = psycopg2.connect(dbname=dbname, user=sqluser, password=sqlpass, host=host)\n",
    "\n",
    "# all queries are prepended by this statement to ensure we use the correct schema\n",
    "query_schema = 'SET SEARCH_PATH TO public,' + schema_name + ';'\n",
    "# note that by placing 'public' first, we create materialized views on the public schema\n",
    "# ... but can still access tables on the `schema_name` table (usually mimiciii)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1 - Generate materialized views\n",
    "\n",
    "Before generating the aline cohort, we require the following materialized views to be already generated:\n",
    "\n",
    "* angus - from `angus.sql`\n",
    "* weightdurations - from `weight-durations.sql`\n",
    "* heightweight - from `heightweight.sql`\n",
    "* aline_vaso_flag - from `aline_vaso_flag.sql`\n",
    "\n",
    "You can generate the above by executing the below codeblock. If you haven't changed the directory structure, the below should work, otherwise you may need to modify the `concepts_path` variable above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating materialized view using ../../concepts/sepsis/angus.sql ... done.\n",
      "Generating materialized view using ../../concepts/demographics/HeightWeightQuery.sql ... done.\n",
      "Generating materialized view using ./aline_vaso_flag.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# list of queries we will execute in turn\n",
    "queries = [\n",
    "    'sepsis/angus.sql',\n",
    "    'durations/weight-durations.sql',\n",
    "    'demographics/heightweight.sql',\n",
    "    'aline_vaso_flag.sql'\n",
    "]\n",
    "\n",
    "for query_file in queries:\n",
    "    # load in the text of the query\n",
    "    f = os.path.join(concepts_path, query_file)\n",
    "    with open(f) as fp:\n",
    "        query = ''.join(fp.readlines())\n",
    "\n",
    "    # Execute the query\n",
    "    print('Generating materialized view using {} ...'.format(f),end=' ')\n",
    "    execute_query_safely(query_schema + query, con)\n",
    "    print('done.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we generate the *aline_cohort* table using the aline_cohort.sql file.\n",
    "\n",
    "Afterwards, we can generate the remaining 6 materialized views in any order, as they all depend on only *aline_cohort* and raw MIMIC-III data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating materialized view using ./aline_cohort.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# Load in the query from file\n",
    "f = os.path.join(aline_path,'aline_cohort.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating materialized view using {} ...'.format(f),end=' ')\n",
    "execute_query_safely(query_schema + query, con)\n",
    "print('done.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14024 - exclusion_readmission\n",
      " 8948 - exclusion_shortstay\n",
      "17399 - exclusion_vasopressors\n",
      "17007 - exclusion_septic\n",
      "12961 - exclusion_aline_before_admission\n",
      "29452 - exclusion_not_ventilated_first24hr\n",
      "15499 - exclusion_service_surgical\n",
      "Will remove 49908 of 52430 patients.\n",
      "\n",
      "\n",
      "Reproducing the flow of the flowchart from Chest paper.\n",
      "52430 - removing 20816 (39.70%) patients - short stay // readmission.\n",
      "31614 - removing 15738 (49.78%) patients - not ventilated in first 24 hours.\n",
      "15876\n",
      "      - removing  5716 (36.00%) patients - additional  5716 36.00% - exclusion_septic\n",
      "      - removing  9112 (57.39%) patients - additional  5753 36.24% - exclusion_vasopressors\n",
      "      - removing  7603 (47.89%) patients - additional  1598 10.07% - exclusion_aline_before_admission\n",
      "      - removing  6750 (42.52%) patients - additional   287 1.81% - exclusion_service_surgical\n",
      "2522 - final cohort.\n"
     ]
    }
   ],
   "source": [
    "query = query_schema + \"\"\"\n",
    "select\n",
    "icustay_id\n",
    ", exclusion_readmission\n",
    ", exclusion_shortstay\n",
    ", exclusion_vasopressors\n",
    ", exclusion_septic\n",
    ", exclusion_aline_before_admission\n",
    ", exclusion_not_ventilated_first24hr\n",
    ", exclusion_service_surgical\n",
    "from aline_cohort_all\n",
    "\"\"\"\n",
    "\n",
    "# Load the result of the query into a dataframe\n",
    "df = pd.read_sql_query(query, con)\n",
    "\n",
    "# print out exclusions\n",
    "idxRem = df['icustay_id'].isnull()\n",
    "for c in df.columns:\n",
    "    if 'exclusion_' in c:\n",
    "        print('{:5d} - {}'.format(df[c].sum(), c))\n",
    "        idxRem[df[c]==1] = True   \n",
    "        \n",
    "# final exclusion (excl sepsis/something else)\n",
    "print('Will remove {} of {} patients.'.format(np.sum(idxRem), df.shape[0]))\n",
    "\n",
    "\n",
    "print('')\n",
    "print('')\n",
    "print('Reproducing the flow of the flowchart from Chest paper.')\n",
    "\n",
    "# first stay\n",
    "idxRem = (df['exclusion_readmission']==1) | (df['exclusion_shortstay']==1)\n",
    "print('{:5d} - removing {:5d} ({:2.2f}%) patients - short stay // readmission.'.format(\n",
    "        df.shape[0], np.sum(idxRem), 100.0*np.mean(idxRem)))\n",
    "df = df.loc[~idxRem,:]\n",
    "\n",
    "idxRem = df['exclusion_not_ventilated_first24hr']==1\n",
    "print('{:5d} - removing {:5d} ({:2.2f}%) patients - not ventilated in first 24 hours.'.format(\n",
    "        df.shape[0], np.sum(idxRem), 100.0*np.mean(idxRem)))\n",
    "\n",
    "df = df.loc[df['exclusion_not_ventilated_first24hr']==0,:]\n",
    "\n",
    "print('{:5d}'.format(df.shape[0]))\n",
    "idxRem = df['icustay_id'].isnull()\n",
    "for c in ['exclusion_septic', 'exclusion_vasopressors',\n",
    "            'exclusion_aline_before_admission', 'exclusion_service_surgical']:\n",
    "    print('{:5s} - removing {:5d} ({:2.2f}%) patients - additional {:5d} {:2.2f}% - {}'.format(\n",
    "            '', df[c].sum(), 100.0*df[c].mean(),\n",
    "            np.sum((idxRem==0)&(df[c]==1)), 100.0*np.mean((idxRem==0)&(df[c]==1)),\n",
    "            c))\n",
    "    idxRem = idxRem | (df[c]==1)\n",
    "\n",
    "df = df.loc[~idxRem,:]\n",
    "print('{} - final cohort.'.format(df.shape[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following codeblock loads in the SQL from each file in the aline subfolder and executes the query to generate the materialized view. We specifically exclude the aline_cohort.sql file as we have already executed it above. Again, the order of query execution does not matter for these queries. Note also that the filenames are the same as the created materialized view names for convenience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Executing aline_bmi.sql ... done.\n",
      "Executing aline_vitals.sql ... done.\n",
      "Executing aline_sedatives.sql ... done.\n",
      "Executing aline_icd.sql ... done.\n",
      "Executing aline_labs.sql ... done.\n",
      "Executing aline_sofa.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# get a list of all files in the subfolder\n",
    "aline_queries = [f for f in os.listdir(aline_path) \n",
    "                 # only keep the filename if it is actually a file (and not a directory)\n",
    "                if os.path.isfile(os.path.join(aline_path,f))\n",
    "                 # and only keep the filename if it is an SQL file\n",
    "                & f.endswith('.sql')\n",
    "                # and we do *not* want aline_cohort - it's generated above\n",
    "                & (f != 'aline_cohort.sql') & (f != 'aline_vaso_flag.sql')]\n",
    "\n",
    "for f in aline_queries:\n",
    "    print('Executing {} ...'.format(f), end=' ')\n",
    "    \n",
    "    with open(os.path.join(aline_path,f)) as fp:\n",
    "        query = ''.join(fp.readlines())\n",
    "        \n",
    "    execute_query_safely(query_schema + query, con)\n",
    "        \n",
    "    print('done.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Summarize the cohort exclusions before we pull all the data together."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2 - Extract all covariates and outcome measures\n",
    "\n",
    "We now aggregate all the data from the various views into a single dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python2.7/dist-packages/numpy/lib/function_base.py:4116: RuntimeWarning: Invalid value encountered in percentile\n",
      "  interpolation=interpolation)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>subject_id</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>41220.210547</td>\n",
       "      <td>29718.436646</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>15635.000000</td>\n",
       "      <td>31280.000000</td>\n",
       "      <td>66550.500000</td>\n",
       "      <td>99881.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hadm_id</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>149910.327121</td>\n",
       "      <td>29250.749642</td>\n",
       "      <td>100016.000000</td>\n",
       "      <td>124288.500000</td>\n",
       "      <td>150295.000000</td>\n",
       "      <td>175301.000000</td>\n",
       "      <td>199962.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>icustay_id</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>250851.056701</td>\n",
       "      <td>28929.896901</td>\n",
       "      <td>200019.000000</td>\n",
       "      <td>226867.250000</td>\n",
       "      <td>251784.500000</td>\n",
       "      <td>275922.500000</td>\n",
       "      <td>299995.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>age</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>64.548664</td>\n",
       "      <td>50.095172</td>\n",
       "      <td>16.203184</td>\n",
       "      <td>42.348493</td>\n",
       "      <td>57.102672</td>\n",
       "      <td>73.750108</td>\n",
       "      <td>300.052602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hour_icu_intime</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>12.761301</td>\n",
       "      <td>7.530773</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>23.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>icu_hour_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.405234</td>\n",
       "      <td>0.491035</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>icu_los_day</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>3.655772</td>\n",
       "      <td>3.403398</td>\n",
       "      <td>1.000579</td>\n",
       "      <td>1.708484</td>\n",
       "      <td>2.524514</td>\n",
       "      <td>4.337101</td>\n",
       "      <td>37.304780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hospital_los_day</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>8.443135</td>\n",
       "      <td>7.820824</td>\n",
       "      <td>0.038194</td>\n",
       "      <td>3.806424</td>\n",
       "      <td>6.446528</td>\n",
       "      <td>10.523090</td>\n",
       "      <td>123.687500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hosp_exp_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.131245</td>\n",
       "      <td>0.337735</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>icu_exp_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.090801</td>\n",
       "      <td>0.287383</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mort_day</th>\n",
       "      <td>910.0</td>\n",
       "      <td>429.589134</td>\n",
       "      <td>690.777814</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3731.972222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>day_28_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.155829</td>\n",
       "      <td>0.362765</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mort_day_censored</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>250.882677</td>\n",
       "      <td>435.993963</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>3731.972222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>censor_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.639175</td>\n",
       "      <td>0.480335</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>aline_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.514274</td>\n",
       "      <td>0.499895</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>aline_time_day</th>\n",
       "      <td>1297.0</td>\n",
       "      <td>0.286710</td>\n",
       "      <td>0.711349</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.843750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>weight_first</th>\n",
       "      <td>2445.0</td>\n",
       "      <td>80.887485</td>\n",
       "      <td>26.926383</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>710.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>height_first</th>\n",
       "      <td>896.0</td>\n",
       "      <td>169.893683</td>\n",
       "      <td>17.069401</td>\n",
       "      <td>15.240000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>444.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bmi</th>\n",
       "      <td>896.0</td>\n",
       "      <td>0.003434</td>\n",
       "      <td>0.014513</td>\n",
       "      <td>0.000815</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.434431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sofa_first</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>4.365583</td>\n",
       "      <td>1.997711</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>15.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>map_first</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>84.703937</td>\n",
       "      <td>17.379634</td>\n",
       "      <td>-6.000000</td>\n",
       "      <td>73.000000</td>\n",
       "      <td>84.000000</td>\n",
       "      <td>95.000000</td>\n",
       "      <td>259.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hr_first</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>87.084457</td>\n",
       "      <td>19.483748</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>74.000000</td>\n",
       "      <td>85.000000</td>\n",
       "      <td>99.000000</td>\n",
       "      <td>174.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>temp_first</th>\n",
       "      <td>2513.0</td>\n",
       "      <td>36.807791</td>\n",
       "      <td>0.912327</td>\n",
       "      <td>32.222222</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>40.444446</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>spo2_first</th>\n",
       "      <td>2519.0</td>\n",
       "      <td>98.642318</td>\n",
       "      <td>3.020366</td>\n",
       "      <td>47.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bun_first</th>\n",
       "      <td>2473.0</td>\n",
       "      <td>20.190053</td>\n",
       "      <td>15.138929</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>139.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>creatinine_first</th>\n",
       "      <td>2473.0</td>\n",
       "      <td>1.140356</td>\n",
       "      <td>1.168819</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chloride_first</th>\n",
       "      <td>2480.0</td>\n",
       "      <td>104.075403</td>\n",
       "      <td>5.936225</td>\n",
       "      <td>56.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>129.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hgb_first</th>\n",
       "      <td>2478.0</td>\n",
       "      <td>12.226190</td>\n",
       "      <td>2.236309</td>\n",
       "      <td>4.100000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>19.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>platelet_first</th>\n",
       "      <td>2470.0</td>\n",
       "      <td>240.640081</td>\n",
       "      <td>101.252615</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1313.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>potassium_first</th>\n",
       "      <td>2484.0</td>\n",
       "      <td>4.065419</td>\n",
       "      <td>0.681024</td>\n",
       "      <td>1.800000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sodium_first</th>\n",
       "      <td>2480.0</td>\n",
       "      <td>139.501613</td>\n",
       "      <td>4.876117</td>\n",
       "      <td>74.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>165.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tco2_first</th>\n",
       "      <td>2496.0</td>\n",
       "      <td>25.122196</td>\n",
       "      <td>5.202271</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>53.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wbc_first</th>\n",
       "      <td>2469.0</td>\n",
       "      <td>12.229850</td>\n",
       "      <td>6.164498</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>94.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chf_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.070975</td>\n",
       "      <td>0.256835</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>afib_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.138382</td>\n",
       "      <td>0.345369</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>renal_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.065028</td>\n",
       "      <td>0.246624</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>liver_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.057891</td>\n",
       "      <td>0.233583</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>copd_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.015464</td>\n",
       "      <td>0.123413</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cad_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.093577</td>\n",
       "      <td>0.291296</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>stroke_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.158604</td>\n",
       "      <td>0.365379</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>malignancy_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.156225</td>\n",
       "      <td>0.363141</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>respfail_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.365583</td>\n",
       "      <td>0.481689</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>endocarditis_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ards_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.017050</td>\n",
       "      <td>0.129483</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pneumonia_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.178033</td>\n",
       "      <td>0.382617</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sedative_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.211340</td>\n",
       "      <td>0.408340</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>midazolam_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.024980</td>\n",
       "      <td>0.156096</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fentanyl_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.040841</td>\n",
       "      <td>0.197960</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propofol_flag</th>\n",
       "      <td>2522.0</td>\n",
       "      <td>0.187946</td>\n",
       "      <td>0.390747</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    count           mean           std            min  \\\n",
       "subject_id         2522.0   41220.210547  29718.436646      22.000000   \n",
       "hadm_id            2522.0  149910.327121  29250.749642  100016.000000   \n",
       "icustay_id         2522.0  250851.056701  28929.896901  200019.000000   \n",
       "age                2522.0      64.548664     50.095172      16.203184   \n",
       "hour_icu_intime    2522.0      12.761301      7.530773       0.000000   \n",
       "icu_hour_flag      2522.0       0.405234      0.491035       0.000000   \n",
       "icu_los_day        2522.0       3.655772      3.403398       1.000579   \n",
       "hospital_los_day   2522.0       8.443135      7.820824       0.038194   \n",
       "hosp_exp_flag      2522.0       0.131245      0.337735       0.000000   \n",
       "icu_exp_flag       2522.0       0.090801      0.287383       0.000000   \n",
       "mort_day            910.0     429.589134    690.777814       0.000694   \n",
       "day_28_flag        2522.0       0.155829      0.362765       0.000000   \n",
       "mort_day_censored  2522.0     250.882677    435.993963       0.000694   \n",
       "censor_flag        2522.0       0.639175      0.480335       0.000000   \n",
       "aline_flag         2522.0       0.514274      0.499895       0.000000   \n",
       "aline_time_day     1297.0       0.286710      0.711349       0.000694   \n",
       "weight_first       2445.0      80.887485     26.926383       1.000000   \n",
       "height_first        896.0     169.893683     17.069401      15.240000   \n",
       "bmi                 896.0       0.003434      0.014513       0.000815   \n",
       "sofa_first         2522.0       4.365583      1.997711       0.000000   \n",
       "map_first          2522.0      84.703937     17.379634      -6.000000   \n",
       "hr_first           2522.0      87.084457     19.483748       0.000000   \n",
       "temp_first         2513.0      36.807791      0.912327      32.222222   \n",
       "spo2_first         2519.0      98.642318      3.020366      47.000000   \n",
       "bun_first          2473.0      20.190053     15.138929       1.000000   \n",
       "creatinine_first   2473.0       1.140356      1.168819       0.100000   \n",
       "chloride_first     2480.0     104.075403      5.936225      56.000000   \n",
       "hgb_first          2478.0      12.226190      2.236309       4.100000   \n",
       "platelet_first     2470.0     240.640081    101.252615       6.000000   \n",
       "potassium_first    2484.0       4.065419      0.681024       1.800000   \n",
       "sodium_first       2480.0     139.501613      4.876117      74.000000   \n",
       "tco2_first         2496.0      25.122196      5.202271       3.000000   \n",
       "wbc_first          2469.0      12.229850      6.164498       0.200000   \n",
       "chf_flag           2522.0       0.070975      0.256835       0.000000   \n",
       "afib_flag          2522.0       0.138382      0.345369       0.000000   \n",
       "renal_flag         2522.0       0.065028      0.246624       0.000000   \n",
       "liver_flag         2522.0       0.057891      0.233583       0.000000   \n",
       "copd_flag          2522.0       0.015464      0.123413       0.000000   \n",
       "cad_flag           2522.0       0.093577      0.291296       0.000000   \n",
       "stroke_flag        2522.0       0.158604      0.365379       0.000000   \n",
       "malignancy_flag    2522.0       0.156225      0.363141       0.000000   \n",
       "respfail_flag      2522.0       0.365583      0.481689       0.000000   \n",
       "endocarditis_flag  2522.0       0.000000      0.000000       0.000000   \n",
       "ards_flag          2522.0       0.017050      0.129483       0.000000   \n",
       "pneumonia_flag     2522.0       0.178033      0.382617       0.000000   \n",
       "sedative_flag      2522.0       0.211340      0.408340       0.000000   \n",
       "midazolam_flag     2522.0       0.024980      0.156096       0.000000   \n",
       "fentanyl_flag      2522.0       0.040841      0.197960       0.000000   \n",
       "propofol_flag      2522.0       0.187946      0.390747       0.000000   \n",
       "\n",
       "                             25%            50%            75%            max  \n",
       "subject_id          15635.000000   31280.000000   66550.500000   99881.000000  \n",
       "hadm_id            124288.500000  150295.000000  175301.000000  199962.000000  \n",
       "icustay_id         226867.250000  251784.500000  275922.500000  299995.000000  \n",
       "age                    42.348493      57.102672      73.750108     300.052602  \n",
       "hour_icu_intime         5.000000      14.000000      19.000000      23.000000  \n",
       "icu_hour_flag           0.000000       0.000000       1.000000       1.000000  \n",
       "icu_los_day             1.708484       2.524514       4.337101      37.304780  \n",
       "hospital_los_day        3.806424       6.446528      10.523090     123.687500  \n",
       "hosp_exp_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "icu_exp_flag            0.000000       0.000000       0.000000       1.000000  \n",
       "mort_day                     NaN            NaN            NaN    3731.972222  \n",
       "day_28_flag             0.000000       0.000000       0.000000       1.000000  \n",
       "mort_day_censored     150.000000     150.000000     150.000000    3731.972222  \n",
       "censor_flag             0.000000       1.000000       1.000000       1.000000  \n",
       "aline_flag              0.000000       1.000000       1.000000       1.000000  \n",
       "aline_time_day               NaN            NaN            NaN      11.843750  \n",
       "weight_first                 NaN            NaN            NaN     710.000000  \n",
       "height_first                 NaN            NaN            NaN     444.500000  \n",
       "bmi                          NaN            NaN            NaN       0.434431  \n",
       "sofa_first              3.000000       4.000000       5.000000      15.000000  \n",
       "map_first              73.000000      84.000000      95.000000     259.000000  \n",
       "hr_first               74.000000      85.000000      99.000000     174.000000  \n",
       "temp_first                   NaN            NaN            NaN      40.444446  \n",
       "spo2_first                   NaN            NaN            NaN     100.000000  \n",
       "bun_first                    NaN            NaN            NaN     139.000000  \n",
       "creatinine_first             NaN            NaN            NaN      18.800000  \n",
       "chloride_first               NaN            NaN            NaN     129.000000  \n",
       "hgb_first                    NaN            NaN            NaN      19.800000  \n",
       "platelet_first               NaN            NaN            NaN    1313.000000  \n",
       "potassium_first              NaN            NaN            NaN       9.200000  \n",
       "sodium_first                 NaN            NaN            NaN     165.000000  \n",
       "tco2_first                   NaN            NaN            NaN      53.000000  \n",
       "wbc_first                    NaN            NaN            NaN      94.000000  \n",
       "chf_flag                0.000000       0.000000       0.000000       1.000000  \n",
       "afib_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "renal_flag              0.000000       0.000000       0.000000       1.000000  \n",
       "liver_flag              0.000000       0.000000       0.000000       1.000000  \n",
       "copd_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "cad_flag                0.000000       0.000000       0.000000       1.000000  \n",
       "stroke_flag             0.000000       0.000000       0.000000       1.000000  \n",
       "malignancy_flag         0.000000       0.000000       0.000000       1.000000  \n",
       "respfail_flag           0.000000       0.000000       1.000000       1.000000  \n",
       "endocarditis_flag       0.000000       0.000000       0.000000       0.000000  \n",
       "ards_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "pneumonia_flag          0.000000       0.000000       0.000000       1.000000  \n",
       "sedative_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "midazolam_flag          0.000000       0.000000       0.000000       1.000000  \n",
       "fentanyl_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "propofol_flag           0.000000       0.000000       0.000000       1.000000  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load in the query from file\n",
    "query = query_schema + \"\"\"\n",
    "--FINAL QUERY\n",
    "select\n",
    "  co.subject_id, co.hadm_id, co.icustay_id\n",
    "\n",
    "  -- static variables from patient tracking tables\n",
    "  , co.age\n",
    "  , co.gender\n",
    "  -- , co.gender_num -- gender, 0=F, 1=M\n",
    "  , co.intime as icustay_intime\n",
    "  , co.day_icu_intime -- day of week, text\n",
    "  --, co.day_icu_intime_num -- day of week, numeric (0=Sun, 6=Sat)\n",
    "  , co.hour_icu_intime -- hour of ICU admission (24 hour clock)\n",
    "  , case \n",
    "      when co.hour_icu_intime >= 7\n",
    "       and co.hour_icu_intime < 19\n",
    "         then 1\n",
    "      else 0\n",
    "    end as icu_hour_flag\n",
    "  , co.outtime as icustay_outtime\n",
    "\n",
    "  -- outcome variables\n",
    "  , co.icu_los_day\n",
    "  , co.hospital_los_day\n",
    "  , co.hosp_exp_flag -- 1/0 patient died within current hospital stay\n",
    "  , co.icu_exp_flag -- 1/0 patient died within current ICU stay\n",
    "  , co.mort_day -- days from ICU admission to mortality, if they died\n",
    "  , co.day_28_flag -- 1/0 whether the patient died 28 days after *ICU* admission\n",
    "  , co.mort_day_censored -- days until patient died *or* 150 days (150 days is our censor time)\n",
    "  , co.censor_flag -- 1/0 did this patient have 150 imputed in mort_day_censored\n",
    "\n",
    "  -- aline flags\n",
    "  -- , co.initial_aline_flag -- always 0, we remove patients admitted w/ aline\n",
    "  , co.aline_flag -- 1/0 did the patient receive an aline\n",
    "  , co.aline_time_day -- if the patient received aline, fractional days until aline put in\n",
    "\n",
    "  -- demographics extracted using regex + echos\n",
    "  , bmi.weight as weight_first\n",
    "  , bmi.height as height_first\n",
    "  , bmi.bmi\n",
    "\n",
    "  -- service patient was admitted to the ICU under\n",
    "  , co.service_unit\n",
    "\n",
    "  -- severity of illness just before ventilation\n",
    "  , so.sofa as sofa_first\n",
    "\n",
    "  -- vital sign value just preceeding ventilation\n",
    "  , vi.map as map_first\n",
    "  , vi.heartrate as hr_first\n",
    "  , vi.temperature as temp_first\n",
    "  , vi.spo2 as spo2_first\n",
    "\n",
    "  -- labs!\n",
    "  , labs.bun_first\n",
    "  , labs.creatinine_first\n",
    "  , labs.chloride_first\n",
    "  , labs.hgb_first\n",
    "  , labs.platelet_first\n",
    "  , labs.potassium_first\n",
    "  , labs.sodium_first\n",
    "  , labs.tco2_first\n",
    "  , labs.wbc_first\n",
    "\n",
    "  -- comorbidities extracted using ICD-9 codes\n",
    "  , icd.chf as chf_flag\n",
    "  , icd.afib as afib_flag\n",
    "  , icd.renal as renal_flag\n",
    "  , icd.liver as liver_flag\n",
    "  , icd.copd as copd_flag\n",
    "  , icd.cad as cad_flag\n",
    "  , icd.stroke as stroke_flag\n",
    "  , icd.malignancy as malignancy_flag\n",
    "  , icd.respfail as respfail_flag\n",
    "  , icd.endocarditis as endocarditis_flag\n",
    "  , icd.ards as ards_flag\n",
    "  , icd.pneumonia as pneumonia_flag\n",
    "\n",
    "  -- sedative use\n",
    "  , sed.sedative_flag\n",
    "  , sed.midazolam_flag\n",
    "  , sed.fentanyl_flag\n",
    "  , sed.propofol_flag\n",
    "  \n",
    "from aline_cohort co\n",
    "-- The following tables are generated by code within this repository\n",
    "left join aline_sofa so\n",
    "on co.icustay_id = so.icustay_id\n",
    "left join aline_bmi bmi\n",
    "  on co.icustay_id = bmi.icustay_id\n",
    "left join aline_icd icd\n",
    "  on co.hadm_id = icd.hadm_id\n",
    "left join aline_vitals vi\n",
    "  on co.icustay_id = vi.icustay_id\n",
    "left join aline_labs labs\n",
    "  on co.icustay_id = labs.icustay_id\n",
    "left join aline_sedatives sed\n",
    "  on co.icustay_id = sed.icustay_id\n",
    "order by co.icustay_id\n",
    "\"\"\"\n",
    "\n",
    "# Load the result of the query into a dataframe\n",
    "df = pd.read_sql_query(query, con)\n",
    "df.describe().T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we need to remove obvious outliers, including correcting ages > 200 to 91.4 (i.e. replace anonymized ages with 91.4, the median age of patients older than 89)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuwAAAGGCAYAAAAgp9RdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiR1mAm7JEmS1GEm7JIkSVKH/f+ur47zE9Oi2gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42265f2e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuUAAAGGCAYAAADcsv+XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyiVJkqTODOWSJElSZ/8fNG9509xSF4QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42265a83d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuUAAAGGCAYAAADcsv+XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226138d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtkAAAGFCAYAAAAo6e+PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wcwCUjPdGZ6NgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4225fcd210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYEBgBgCAAYEZAAAGBGYAABj4/7KGlITETeRTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42261387d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJQEBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42223ae890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222705710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42223aef50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxfEOY+bkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42224b2610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAADDEsMAAAzr/wMhua+tFezlDAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42224c5890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAGGCAYAAABWnWbWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42221ad710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAIBhCcMAAAxLGAYAYFjCMAAAw/r/UH5WnFs6GAIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422267fe90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAGGCAYAAABWnWbWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQJAGAIAB/x+nuhQe+m2SawAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42261cba90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAGBY/x/FZ8Y2TzWQ+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422268acd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAwAwLDEMAMCwxDAAAMMSwwAADOv/AxQoYakRUVD1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226515d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEowBAKCq/x/JbVuFzLXAWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222289c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtkAAAGGCAYAAACufZ0hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42264fb710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAGGCAYAAAC5Xw3oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422263ad50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAGFCAYAAAAPR25nAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngEEkAwDAIJIBAGD4f0uRH2khLr+SAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42261217d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226102c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAGGCAYAAAC5Xw3oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmAYAgEH/HzRNv3prn6XJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42227a8490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAGGCAYAAAC5Xw3oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQcI0AAAM+n9lK4hAzdJXAQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422266cc90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nASNtMkLVLyXMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42263db550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42224caed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwAwAAAMCMwAADAjMAAAw8P8AK42t0ym7AXkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226133550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHYFJREFUeJzt3Xu0bWld3+nPT0oQQSmwTpBQYDEMpoNKeynBjrmUQ8AC\nEsq7VBtBY1sxEQMjalLekJBhBzXaSqRjQGkkrQLa0S5DYUHb2Hanxa7CCwqIVrAMhQiFIJcgAfTt\nP9Y6sNnsfc4+p/Y+1+cZY4211pzvnOu33jXX3t8995zznbVWAABwsfuos10AAACcCwRjAABIMAYA\ngEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCAqi45Wy982WWXrSuuuOJsvTwAABeJ\nV77ylW9dax07WbuzFoyvuOKKbrnllrP18gAAXCRm5g8P0s6hFAAAkGAMAACVYAwAAJVgDAAAlWAM\nAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAVV1ytgs4H1xx/YtPqf1t\nz3jsEVUCAMBRsccYAAASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCgEowB\nAKASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCg\nEowBAKASjAEAoBKMAQCgEowBAKASjAEAoBKMAQCgOkAwnpnnzsxbZuZ39pk/M/PMmbl1Zl41M591\n+GUCAMDROsge4+dVV59g/qOrB29v11X/5s6XBQAAZ9ZJg/Fa61eqt52gyTXV89fGK6pLZ+Z+h1Ug\nAACcCZccwjruX71hx/Pbt9PedAjrPi9dcf2LT6n9bc947BFVAgDAQZ3Rk+9m5rqZuWVmbrnjjjvO\n5EsDAMAJHUYwfmP1gB3PL99O+whrrWevta5ca1157NixQ3hpAAA4HIcRjG+onrC9OsXnVu9Ya120\nh1EAAHB+OukxxjPz09VV1WUzc3v13dVHV621frS6sXpMdWv1nuprj6pYAAA4KicNxmuta08yf1Xf\neGgVAQDAWWDkOwAASDAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCA\nSjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEow\nBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYA\ngEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBKMAYAgEowBgCASjAGAIBK\nMAYAgEowBgCASjAGAIDqgMF4Zq6emdfNzK0zc/0e8x84My+fmd+YmVfNzGMOv1QAADg6Jw3GM3OX\n6lnVo6uHVNfOzEN2NfvO6kVrrc+sHl/9z4ddKAAAHKWD7DF+WHXrWuv1a633VS+ortnVZlUfv318\nr+qPDq9EAAA4epccoM39qzfseH579fBdbZ5WvXRmvqm6R/WIQ6kOAADOkMM6+e7a6nlrrcurx1T/\nbmY+Yt0zc93M3DIzt9xxxx2H9NIAAHDnHSQYv7F6wI7nl2+n7fR11Yuq1lq/Wn1MddnuFa21nr3W\nunKtdeWxY8dOr2IAADgCBwnGN1cPnpkHzcxd25xcd8OuNv+5+oKqmflrbYKxXcIAAJw3ThqM11of\nqJ5U3VS9ts3VJ149M0+fmcdtm31z9fUz81vVT1dfs9ZaR1U0AAActoOcfNda68bqxl3Tnrrj8Wuq\nzzvc0gAA4Mwx8h0AACQYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMA\nQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAl\nGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgD\nAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBA\nJRgDAEAlGAMAQCUYAwBAdcBgPDNXz8zrZubWmbl+nzZfMTOvmZlXz8xPHW6ZAABwtC45WYOZuUv1\nrOqR1e3VzTNzw1rrNTvaPLj6turz1lpvn5m/dFQFAwDAUTjIHuOHVbeutV6/1npf9YLqml1tvr56\n1lrr7VVrrbccbpkAAHC0DhKM71+9Ycfz27fTdvqU6lNm5j/OzCtm5uq9VjQz183MLTNzyx133HF6\nFQMAwBE4rJPvLqkeXF1VXVs9Z2Yu3d1orfXstdaVa60rjx07dkgvDQAAd95BgvEbqwfseH75dtpO\nt1c3rLXev9b6g+r32gRlAAA4LxwkGN9cPXhmHjQzd60eX92wq83Pt9lb3Mxc1ubQitcfYp0AAHCk\nThqM11ofqJ5U3VS9tnrRWuvVM/P0mXncttlN1Z/MzGuql1ffutb6k6MqGgAADttJL9dWtda6sbpx\n17Sn7ni8qn+yvQEAwHnHyHcAAJBgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAM\nAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAA\nlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVg\nDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwAAJVgDAAAlWAMAACVYAwA\nAJVgDAAAlWAMAACVYAwAANUBg/HMXD0zr5uZW2fm+hO0+9KZWTNz5eGVCAAAR++kwXhm7lI9q3p0\n9ZDq2pl5yB7tPq56cvVrh10kAAActYPsMX5Ydeta6/VrrfdVL6iu2aPdv6i+t3rvIdYHAABnxEGC\n8f2rN+x4fvt22gfNzGdVD1hrvfgQawMAgDPmTp98NzMfVf1g9c0HaHvdzNwyM7fccccdd/alAQDg\n0BwkGL+xesCO55dvpx33cdWnVb88M7dVn1vdsNcJeGutZ6+1rlxrXXns2LHTrxoAAA7ZQYLxzdWD\nZ+ZBM3PX6vHVDcdnrrXesda6bK11xVrriuoV1ePWWrccScUAAHAEThqM11ofqJ5U3VS9tnrRWuvV\nM/P0mXncURcIAABnwiUHabTWurG6cde0p+7T9qo7XxYAAJxZRr4DAIAEYwAAqARjAACoBGMAAKgE\nYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMA\nAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACo\nBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARj\nAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqA4YjGfm6pl53czcOjPX\n7zH/n8zMa2bmVTPzSzPzSYdfKgAAHJ2TBuOZuUv1rOrR1UOqa2fmIbua/UZ15VrrodXPVt932IUC\nAMBROsge44dVt661Xr/Wel/1guqanQ3WWi9fa71n+/QV1eWHWyYAABytgwTj+1dv2PH89u20/Xxd\n9ZI7UxQAAJxplxzmymbm71VXVn97n/nXVddVPfCBDzzMlz6vXXH9i0+p/W3PeOwRVQIAcPE6yB7j\nN1YP2PH88u20DzMzj6i+o3rcWuu/7rWitdaz11pXrrWuPHbs2OnUCwAAR+Igwfjm6sEz86CZuWv1\n+OqGnQ1m5jOrf9smFL/l8MsEAICjddJgvNb6QPWk6qbqtdWL1lqvnpmnz8zjts2+v7pn9TMz85sz\nc8M+qwMAgHPSgY4xXmvdWN24a9pTdzx+xCHXBQAAZ5SR7wAAIMEYAAAqwRgAACrBGAAAKsEYAAAq\nwRgAACrBGAAAKsEYAAAqwRgAACrBGAAAKsEYAAAqwRgAACrBGAAAKsEYAAAqwRgAACrBGAAAKsEY\nAAAqwRgAACrBGAAAKsEYAAAqwRgAACrBGAAAqrrkbBfAqbvi+hefUvvbnvHYI6oEAODCYY8xAAAk\nGAMAQCUYAwBAJRgDAEAlGAMAQCUYAwBAJRgDAEB1kV7H+FSvAwwAwIXPHmMAAEgwBgCASjAGAIBK\nMAYAgEowBgCASjAGAIBKMAYAgEowBgCA6iId4ONiczoDmtz2jMceQSUAAOcue4wBACDBGAAAKsEY\nAAAqwRgAACon37GPUz1hz8l6AMD5zh5jAABIMAYAgOqAh1LMzNXVD1d3qX5srfWMXfPvVj2/+uzq\nT6qvXGvddrilci47nWsln4pTPVTDoSAAwKk6aTCembtUz6oeWd1e3TwzN6y1XrOj2ddVb19r/ZWZ\neXz1vdVXHkXBXJyOOnifDuEbAC4sB9lj/LDq1rXW66tm5gXVNdXOYHxN9bTt45+tfmRmZq21DrFW\nODJnIngfdZAW1AHgzjlIML5/9YYdz2+vHr5fm7XWB2bmHdUnVG89jCLhYnTUYf1c3AvP4TsX/wA6\n3w+9OlVn4jPwh/H553S2u3Ptc7sQt7szerm2mbmuum779N0z87oz9NKXJaQfBv145+nDO08fnoL5\n3n1nXbD9eIL3fNgO1IdnsJ4DO8dqumC3xcN2vn+fz/J290kHaXSQYPzG6gE7nl++nbZXm9tn5pLq\nXm1Owvswa61nV88+SGGHaWZuWWtdeaZf90KjH+88fXjn6cPDoR/vPH14OPTjnacPD89BLtd2c/Xg\nmXnQzNy1enx1w642N1RP3D7+sur/dHwxAADnk5PuMd4eM/yk6qY2l2t77lrr1TPz9OqWtdYN1Y9X\n/25mbq3e1iY8AwDAeeNAxxivtW6sbtw17ak7Hr+3+vLDLe1QnfHDNy5Q+vHO04d3nj48HPrxztOH\nh0M/3nn68JCMIx4AAMCQ0AAAUF1gwXhmrp6Z183MrTNz/R7z7zYzL9zO/7WZueLMV3numpkHzMzL\nZ+Y1M/PqmXnyHm2umpl3zMxvbm9P3WtdF7uZuW1mfnvbR7fsMX9m5pnbbfFVM/NZZ6POc9XM/NUd\n29hvzsw7Z+Ypu9rYFvcwM8+dmbfMzO/smHafmXnZzPz+9v7e+yz7xG2b35+ZJ+7V5mKwTx9+/8z8\n7vb7+nMzc+k+y57wu38x2acfnzYzb9zxvX3MPsue8Pf5xWKfPnzhjv67bWZ+c59lbYun4YI5lGI7\ndPXvtWPo6uranUNXz8w/qh661vqG7dDVX7zWMnT11szcr7rfWuvXZ+bjqldWX7SrD6+qvmWt9XfO\nUpnnhZm5rbpyrbXndSW3vwy+qXpMmwFzfnittXvgHPrgd/uN1cPXWn+4Y/pV2RY/wsz8rerd1fPX\nWp+2nfZ91dvWWs/Yhox7r7X+2a7l7lPdUl1ZrTbf/89ea739jL6Bc8A+ffioNldc+sDM5mqsu/tw\n2+62TvDdv5js049Pq9691vpXJ1jupL/PLxZ79eGu+T9QvWOt9fQ95t2WbfGUXUh7jD84dPVa633V\n8aGrd7qm+ont45+tvmBm5gzWeE5ba71prfXr28fvql7bZlRDDt81bX7QrbXWK6pLt3+Y8JG+oPpP\nO0Mx+1tr/UqbqwPttPNn309UX7THol9YvWyt9bZtGH5ZdfWRFXoO26sP11ovXWt9YPv0FW2u6c8J\n7LMtHsRBfp9fFE7Uh9v88hXVT5/Roi5wF1Iw3mvo6t2h7sOGrq6OD13NLtvDTD6z+rU9Zv93M/Nb\nM/OSmfnUM1rY+WNVL52ZV85mxMfdDrK9svH49v/Bb1s8mPuutd60ffzH1X33aGObPLi/X71kn3kn\n++5TT9oekvLcfQ7rsS0ezN+s3rzW+v195tsWT8OFFIw5JDNzz+p/q56y1nrnrtm/Xn3SWuu/rf51\n9fNnur7zxN9Ya31W9ejqG7f/DuMUzWZQocdVP7PHbNviadgOvnRhHEN3FszMd1QfqH5ynya++yf2\nb6pPrj6jelP1A2e3nPPatZ14b7Ft8TRcSMH4VIaubk4wdPXFbGY+uk0o/sm11r/fPX+t9c611ru3\nj2+sPnpmLjvDZZ7z1lpv3N6/pfq5Nv8a3Okg2yubH+i/vtZ68+4ZtsVT8ubjh+ps79+yRxvb5EnM\nzNdUf6f6qv1Gdz3Ad/+ittZ681rrz9daf1E9p737x7Z4EtsM8yXVC/drY1s8PRdSMDZ09Z20PV7p\nx6vXrrV+cJ82n3j8uOyZeVibbcgfFzvMzD22Jy82M/eoHlX9zq5mN1RPmI3PbXPyxJtit333iNgW\nT8nOn31PrP73PdrcVD1qZu69/ff2o7bTaHOVhOqfVo9ba71nnzYH+e5f1HadS/HF7d0/B/l9frF7\nRPW7a63b95ppWzx9Bxr57nxg6OpD8XnVV1e/vePyL99ePbBqrfWjbf6g+Icz84Hqz6rH++PiI9y3\n+rltZruk+qm11i/OzDfUB/vxxjZXpLi1ek/1tWep1nPW9of5I6t/sGPazj60Le5hZn66uqq6bGZu\nr767ekb1opn5uuoP25yw08xcWX3DWut/WGu9bWb+RZtQUvX0tdbpnDh13tunD7+tulv1su13+xXb\nKxz95erH1lqPaZ/v/ll4C+eEffrxqpn5jDaH89zW9vu9sx/3+31+Ft7CWbdXH661frw9zr2wLR6O\nC+ZybQAAcGdcSIdSAADAaROMAQAgwRgAACrBGAAAKsEYAAAqwRjgUMzM82ZmzczTDnm9t23Xe9Vh\nrvdMm5lrZ+ZXZ+Zd2/fzwfe04/kVZ7VI4KJ3wVzHGOAozMyl1VOq1lpPO7vVnJ9m5quq/3X79P3V\n8ZEM33d2Kqodf8D80FrrT89WHcC5RTAGOLFL2wxMUPW0E7R7U/W66q2H/Pr/qXpvm4FgzldP2d7/\nT9U/XWt9YNf8123v33/mSvrgZ/q8SjAGKgN8AJzQ9t/7f1C11pqzWsx5ambeU929+vS11jkxLO3M\nHP/l96C11m1nsxbg3OEYYwCO2t239+8+q1UAnIRgDByZmflrM/OjM/N7M/OemfnTmfntmXnmzHz2\njnYfPHFtZu42M98xM6/acaLWpbvWe8XM/OuZed12ve+amVfOzD+bmXvsU8vlM/MtM/OLM/P72+Xe\nOTO/MTP/fPdrbJf55bZ7i7fP167b0/Z6D3vUuo7voZyZT5uZF8zMH8/Me2fmd2fmu2bmrvvUvefJ\ndzPzNdvpv7x9/ndn5uXbPn73zLxiZq7d+5P54Do+ama+emZeNjN3zMz7ZuaPZuaFM/PwEy17Mrvf\n99Yf7Oi75+1ou+fJd9vtYW379qNm5kkz8/9t3+Oamc/Y0faamblxZt48M++fmbdtt4+fnpmv3NHu\neSeo6cPqAi4+jjEGjsTMfFObY0rvsp30X6pVfdr29tDqql2LfUz1K9XD2hxv+hHH1c7Ml1Q/uW3b\nts3dqs/a3r5qZh651nrzrkV/qPrS7eP3tdl7eWn1GdvbV83MVWut23cs87Y2xwxftn2+e52ntAd0\nZh5V/XybPajvqD66+qvV06vPrr7oVNa3Y73ftV3HX1Tvqu5RPbz6qZm571rrh/ZY5uOqf189Yjtp\nbZe9X/UV1ZfNzJPXWj9yOjVVf96H+uu+2/u3bqfX5v0f1GxrvWa7/Ls+bObM91TfvmPSu9r08ads\nb59fvXDH6755n5pOtS7gAmOPMXDoZubLq2e2CcU/Wz1krXXPtda9q0+o/l71yj0W/cY2Qebx1T3X\nWpdWV7QJ1c3M51QvaPNH/fdUl6+17tEmBP316pbq06vn77Hu11b/eLv+u6+1PqFNuL6qurn65Orf\n7lxgrfUl1efseP6Ju27/6tR6phdWv9DmuNZLq4+vvq1NKL1mZh5ziuurTaj/7uq7qk/YrvcT2/R7\n1b+cmfvssdzz24TiX6++sPrYtda9qvtU39kmLP7wzHzeadTUWusNx/tpx+TP2dF3Tz6F1X1JdXX1\nj6qP325H961ev93LfP223b+sjq21Pn6tdffqL1VfVr14R11PPkFNp1oXcKFZa7m5ubkd2q3NXtDb\n24S9nzrgMs/btl/Vo07Q7v/ZtvkH+8y/T/VH2zZXnkLN96ne0maP6xW75l1xvLYDvoen7bd89dK2\nJz3vavML2/nP3WPebdt5V+2a/jU71vsdeyx39+17WtUTds17xHb671b32uf9XL9t8x8OYZs4XucV\npzK/zVVAjs+7bp9lv2I7/7WHWZObm9vFebPHGDhsX1Ddv80ex289xWVftdZ66V4zZuaTq89rc2mt\nH9+rzVrrbdVLtk8fedAX3S73/7b5l/1fP5WCT9Ez1lp7XQro57f3n3Ya63xvm8NEPsxa68+qm/ZZ\n7xO3989Za+136MBPbu8/f2busk+bM+VPqufuM++d2/t7zczHnqF6gAuUY4yBw/a52/vfWmu98RSX\n/dUTzDseWO9Z3T6z75XT7rm9f8DuGTPzsOobtuu6vM2xuLv95QNVenpu3mf68X6692ms8zVrrf9y\nius93pffOTMn++PlY9sc/vKW06jtsNyyPvLax8f9Wptjwe9X/erMPKt62VrrD/ZpD7AvwRg4bMdP\navrPp7HsHSeYd7/t/SU7XuNEPmzv4cx8S/V9bfYK12aP9tv70Ohr92pzzPGeV7U4DGutd+0z673b\n+48+jdXut84Trfd4X37ElTj2cbb3xO67Xay13j4zX91mZL2Htj1OfGb+uM2hK89da/1fZ6RK4Lzn\nUArgXPLnJ5h3/OfVb6215gC3rzm+4Mx8avW9bULxj1SfWt1trXWf9aETxI6frHYxDOJxvC+/+IB9\nedvZLLYTbxettW6sHlRdV72ozXHmn1g9ofrlmXn2kVcIXBAEY+CwHb9E1ycd0Xo/4hCJA/jSNj/v\nblprfdNa6zVrrd1h6yB7oS8Ux/vygWe1ikO01nrHWus5a62vXGvdv80fP8/Zzv76mXnsWSwPOE8I\nxsBhe8X2/qEzc/9DXO/x44/vcxqDT1y+vf+NvWZuBwX53L3mtblSxfF2F8re5ON9+eizWsUR2v7x\nc10f2h7/9u4m2/sL5TMFDoFgDBy2X2pz0tddqu8/rJWutX63D4Wc75uZfY/HnZm7z8zddkw6fuWF\nT99nke+oPm6fee/c8figx+Se6563vf/Cmbn6RA1n5nROCDxj9hsxcIc/297fbdf045/rhfKZAodA\nMAYO1Vrr/dU3b59eOzMvmpn/5vj8mbnPzHz9zDzzNFb/j6v/Wv2t6pdm5m/MzEdt13uXmfn0mXlq\n9fo+dIJZ1cu294+dmW87flmvmTk2M9/fZpCNP9nn/fxpm2NWq772NGo+56y1frHNSHJT/dzMfOvM\nHDs+f/sZfdHM3FD94Nmq84D+4czcNDP//cx88DOfmUtn5tv70OiKN+1a7tXb+yecA5ejA84RgjFw\n6NZaL2wTjv+i+vLqtTPzrpl5e5sA+uw2VxA41fXeXH1xmz3Af7P6v6v3zMxb2+wZfFX1z9uceLV2\nLPfSNkGw6n+s3j0zb2tzrO23tLku8n84wUv/2Pb+B2bm3TNz2/b2lFN9D+eQJ7S5fvLHtLlax5tn\n5u0z8842n9HPVX/3LNZ3UFM9qs11l/9o+/m8vc0VR75nO//Z2xP0djr+mT6lzfbwh9vP9FRHMwQu\nIC7XBhyJtdYPzsz/0SZ4fH6bPbjvbxNeX179xGmu9yUz8ynVN1WPqf5Km3+H/2n1uupXqp9Za/3h\nrkW/sk1Yf2Kb4Z+n+o9tBrl4/sw87wQv+/Q2w1J/1fb1jp9YeN7+G3577eMv3p6U9verh1fH2vwx\nc2uboaJf0oeu1nGu+qnq3W1G83tom+3sntWb2lw3+sfWWr+we6G11v+y3VP89dVD2pzUOdVlZ6hu\n4Bw0ew/CBAAAFxeHUgAAQIIxAABUgjEAAFROvgPgAGbm5k5t1MEXrrWefFT1ABwFwRiAgzjWqQ2b\nfa+jKgTgqLgqBQAA5BhjAACoBGMAAKgEYwAAqARjAACoBGMAAKgEYwAAqOr/BzM8Wm17daEtAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226526d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGQAABgRmAAAYEJgBAGBAYAYAgIH/HyITP23jlRKiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42222a3b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAGGCAYAAAC5Xw3oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJElqZJiWJEmSGhmmJUmSpEb/HwJAmMYFaOxPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42262d8e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAGGCAYAAABWnWbWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEKQBAGCAIA0AAAMEaQAAGPD/A7kglEs5n6BsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226080c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGGCAYAAAB42EdEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42222871d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhnXBNl79AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226321690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42224daf10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAGGCAYAAABv+teNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAH0JJREFUeJzt3X3QpeVdH/DvL7tC3iqJZLUJsFkyoM7Glxg3JFpNrVQL\nRV1biQFbi5YOzVSmvqV20xlpxLaCY8VOpS+MxCFoAw7adqes0lYSWzVFliSakIRmQzBAY+QtRJIS\nssmvf5z7kdMnz157ln1edvf5fGaeOfd9Xdd9zu88nJz9Pleu+76ruwMAAKzsWRtdAAAAHMsEZgAA\nGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGNi60QUs96IXvah37Nix\n0WUAAHCCu+uuux7u7m2HG3fMBeYdO3Zk//79G10GAAAnuKr640XGWZIBAAADAjMAAAwIzAAAMCAw\nAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwsFJir6ryquqeqDlTVnhX6T66qm6f+\nO6pqx9T+RVV1Q1W9t6o+UFVvWt3yAQBgbR02MFfVliTXJjk/yc4kF1fVzmXDLk3yWHefleSaJFdP\n7a9LcnJ3f3WSr0/y95fCNAAAHA8WmWE+J8mB7r63u59KclOS3cvG7E5yw7R9S5Jzq6qSdJLnVdXW\nJM9J8lSST65K5QAAsA62LjDmtCT3z+0/kOTVhxrT3Qer6vEkp2YWnncn+ViS5yb50e5+9GiLZvXs\n2HPrEY2/76oL1qgSAIBj01qf9HdOks8leUmSM5P8eFW9bPmgqrqsqvZX1f6HHnpojUsCAIDFLRKY\nH0xyxtz+6VPbimOm5RenJHkkyfcl+a3u/mx3/2mS30uya/kLdPd13b2ru3dt27btyN8FAACskUUC\n851Jzq6qM6vqpCQXJdm7bMzeJJdM2xcmub27O8lHk3xrklTV85K8JskHV6NwAABYD4cNzN19MMnl\nSW5L8oEkv9bdd1fVlVX1XdOw65OcWlUHkvxYkqVLz12b5PlVdXdmwfuXu/uPVvtNAADAWlnkpL90\n974k+5a1XTG3/WRml5BbftwTK7UDAMDxwp3+AABgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIAB\ngRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBg\nQGAGAIABgRkAAAYEZgAAGNi60QVwfNmx59YjGn/fVResUSUAAOvDDDMAAAwIzAAAMCAwAwDAgMAM\nAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADCwXmqjqvqu6pqgNVtWeF/pOr6uap/46q2jG1/62qes/c\nz+er6hWr+xYAAGDtHDYwV9WWJNcmOT/JziQXV9XOZcMuTfJYd5+V5JokVydJd/9qd7+iu1+R5PuT\nfKS737OabwAAANbSIjPM5yQ50N33dvdTSW5KsnvZmN1Jbpi2b0lyblXVsjEXT8cCAMBxY+sCY05L\ncv/c/gNJXn2oMd19sKoeT3Jqkofnxrw+Xxi0Gdix59YjGn/fVResUSUAAJvXIoH5qFXVq5N8urvf\nd4j+y5JcliTbt29fj5JOSEcasAEAOLxFlmQ8mOSMuf3Tp7YVx1TV1iSnJHlkrv+iJG871At093Xd\nvau7d23btm2RugEAYF0sEpjvTHJ2VZ1ZVSdlFn73LhuzN8kl0/aFSW7v7k6SqnpWku+N9csAAByH\nDrskY1qTfHmS25JsSfKW7r67qq5Msr+79ya5PsmNVXUgyaOZheolr01yf3ffu/rlAwDA2lpoDXN3\n70uyb1nbFXPbTyZ53SGOfUeS1zzzEgEAYOO40x8AAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAA\nMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMA\nAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAM\nAAADAjMAAAwIzAAAMLBQYK6q86rqnqo6UFV7Vug/uapunvrvqKodc31fU1XvrKq7q+q9VfXs1Ssf\nAADW1mEDc1VtSXJtkvOT7ExycVXtXDbs0iSPdfdZSa5JcvV07NYkv5LkDd398iTfkuSzq1Y9AACs\nsUVmmM9JcqC77+3up5LclGT3sjG7k9wwbd+S5NyqqiTfnuSPuvsPk6S7H+nuz61O6QAAsPYWCcyn\nJbl/bv+BqW3FMd19MMnjSU5N8uVJuqpuq6p3VdVPHH3JAACwfrauw/N/U5JXJfl0kt+uqru6+7fn\nB1XVZUkuS5Lt27evcUkAALC4RWaYH0xyxtz+6VPbimOmdcunJHkks9no/9HdD3f3p5PsS/LK5S/Q\n3dd1967u3rVt27YjfxcAALBGFgnMdyY5u6rOrKqTklyUZO+yMXuTXDJtX5jk9u7uJLcl+eqqeu4U\npP9ykvevTukAALD2Drsko7sPVtXlmYXfLUne0t13V9WVSfZ3994k1ye5saoOJHk0s1Cd7n6sqn4+\ns9DdSfZ1961r9F4AAGDVLbSGubv3ZbacYr7tirntJ5O87hDH/kpml5YDAIDjjjv9AQDAgMAMAAAD\nAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDA\ngMAMAAADWze6AE5sO/bcekTj77vqgjWqBADgmTHDDAAAAwIzAAAMCMwAADAgMAMAwIDADAAAAwIz\nAAAMCMwAADAgMAMAwIDADAAAAwIzAAAMCMwAADAgMAMAwIDADAAAAwIzAAAMCMwAADCwUGCuqvOq\n6p6qOlBVe1boP7mqbp7676iqHVP7jqr6v1X1nunn361u+QAAsLa2Hm5AVW1Jcm2Sb0vyQJI7q2pv\nd79/btilSR7r7rOq6qIkVyd5/dT34e5+xSrXDQAA62KRGeZzkhzo7nu7+6kkNyXZvWzM7iQ3TNu3\nJDm3qmr1ygQAgI2xSGA+Lcn9c/sPTG0rjunug0keT3Lq1HdmVb27qn6nqr75KOsFAIB1ddglGUfp\nY0m2d/cjVfX1Sf5TVb28uz85P6iqLktyWZJs3759jUsCAIDFLTLD/GCSM+b2T5/aVhxTVVuTnJLk\nke7+THc/kiTdfVeSDyf58uUv0N3Xdfeu7t61bdu2I38XAACwRhYJzHcmObuqzqyqk5JclGTvsjF7\nk1wybV+Y5Pbu7qraNp00mKp6WZKzk9y7OqUDAMDaO+ySjO4+WFWXJ7ktyZYkb+nuu6vqyiT7u3tv\nkuuT3FhVB5I8mlmoTpLXJrmyqj6b5PNJ3tDdj67FGwEAgLWw0Brm7t6XZN+ytivmtp9M8roVjvv1\nJL9+lDUCAMCGcac/AAAYEJgBAGBAYAYAgAGBGQAABgRmAAAYEJgBAGBAYAYAgAGBGQAABgRmAAAY\nEJgBAGBAYAYAgAGBGQAABgRmAAAYEJgBAGBAYAYAgAGBGQAABgRmAAAYEJgBAGBAYAYAgAGBGQAA\nBgRmAAAYEJgBAGBAYAYAgAGBGQAABgRmAAAYEJgBAGBAYAYAgAGBGQAABgRmAAAYEJgBAGBgocBc\nVedV1T1VdaCq9qzQf3JV3Tz131FVO5b1b6+qJ6rqjatTNgAArI/DBuaq2pLk2iTnJ9mZ5OKq2rls\n2KVJHuvus5Jck+TqZf0/n+Q3j75cAABYX4vMMJ+T5EB339vdTyW5KcnuZWN2J7lh2r4lyblVVUlS\nVd+d5CNJ7l6dkgEAYP0sEphPS3L/3P4DU9uKY7r7YJLHk5xaVc9P8o+T/NTRlwoAAOtvrU/6e3OS\na7r7idGgqrqsqvZX1f6HHnpojUsCAIDFbV1gzINJzpjbP31qW2nMA1W1NckpSR5J8uokF1bVzyZ5\nQZLPV9WT3f2L8wd393VJrkuSXbt29TN5I5wYduy59YjG33fVBWtUCQDAzCKB+c4kZ1fVmZkF44uS\nfN+yMXuTXJLknUkuTHJ7d3eSb14aUFVvTvLE8rAMAADHssMG5u4+WFWXJ7ktyZYkb+nuu6vqyiT7\nu3tvkuuT3FhVB5I8mlmoBgCA494iM8zp7n1J9i1ru2Ju+8kkrzvMc7z5GdQHAAAbyp3+AABgQGAG\nAIABgRkAAAYWWsPM6jjSS6YBALDxzDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAA\nDAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwA\nAAMCMwAADGzd6ALgaOzYc+sRH3PfVResQSUAwInKDDMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwI\nzAAAMLBQYK6q86rqnqo6UFV7Vug/uapunvrvqKodU/s5VfWe6ecPq+pvrG75AACwtg4bmKtqS5Jr\nk5yfZGeSi6tq57JhlyZ5rLvPSnJNkqun9vcl2dXdr0hyXpJ/X1Wu/QwAwHFjkRnmc5Ic6O57u/up\nJDcl2b1szO4kN0zbtyQ5t6qquz/d3Qen9mcn6dUoGgAA1ssigfm0JPfP7T8wta04ZgrIjyc5NUmq\n6tVVdXeS9yZ5w1yA/nNVdVlV7a+q/Q899NCRvwsAAFgja37SX3ff0d0vT/KqJG+qqmevMOa67t7V\n3bu2bdu21iUBAMDCFgnMDyY5Y27/9KltxTHTGuVTkjwyP6C7P5DkiSRf9UyLBQCA9bZIYL4zydlV\ndWZVnZTkoiR7l43Zm+SSafvCJLd3d0/HbE2Sqnppkq9Mct+qVA4AAOvgsFes6O6DVXV5ktuSbEny\nlu6+u6quTLK/u/cmuT7JjVV1IMmjmYXqJPmmJHuq6rNJPp/kH3T3w2vxRgAAYC0sdIm37t6XZN+y\ntivmtp9M8roVjrsxyY1HWSMAAGwYd/oDAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAA\nGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkA\nAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAG\nAICBhQJzVZ1XVfdU1YGq2rNC/8lVdfPUf0dV7Zjav62q7qqq906P37q65QMAwNo6bGCuqi1Jrk1y\nfpKdSS6uqp3Lhl2a5LHuPivJNUmuntofTvKd3f3VSS5JcuNqFQ4AAOthkRnmc5Ic6O57u/upJDcl\n2b1szO4kN0zbtyQ5t6qqu9/d3f9nar87yXOq6uTVKBwAANbDIoH5tCT3z+0/MLWtOKa7DyZ5PMmp\ny8Z8T5J3dfdnnlmpAACw/raux4tU1cszW6bx7YfovyzJZUmyffv29SgJAAAWssgM84NJzpjbP31q\nW3FMVW1NckqSR6b905P8xyR/p7s/vNILdPd13b2ru3dt27btyN4BAACsoUUC851Jzq6qM6vqpCQX\nJdm7bMzezE7qS5ILk9ze3V1VL0hya5I93f17q1U0AACsl8MG5mlN8uVJbkvygSS/1t13V9WVVfVd\n07Drk5xaVQeS/FiSpUvPXZ7krCRXVNV7pp8vXfV3AQAAa2ShNczdvS/JvmVtV8xtP5nkdSsc98+S\n/LOjrBEAADaMO/0BAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCA\nwAwAAAMCMwAADAjMAAAwIDADAMDA1o0uANbbjj23HtH4+666YI0qAQCOB2aYAQBgQGAGAIABgRkA\nAAYEZgAAGBCYAQBgwFUy4DBcVQMANjczzAAAMCAwAwDAgMAMAAADAjMAAAw46e8oHOnJYAAAHH/M\nMAMAwIDADAAAAwIzAAAMCMwAADAgMAMAwMBCgbmqzquqe6rqQFXtWaH/5Kq6eeq/o6p2TO2nVtXb\nq+qJqvrF1S0dAADW3mEDc1VtSXJtkvOT7ExycVXtXDbs0iSPdfdZSa5JcvXU/mSSn0zyxlWrGAAA\n1tEiM8znJDnQ3fd291NJbkqye9mY3UlumLZvSXJuVVV3f6q7fzez4AwAAMedRQLzaUnun9t/YGpb\ncUx3H0zyeJJTV6NAAADYSMfEnf6q6rIklyXJ9u3bN7gaODpHegfI+666YI0qAQBWwyIzzA8mOWNu\n//SpbcUxVbU1ySlJHlm0iO6+rrt3dfeubdu2LXoYAACsuUUC851Jzq6qM6vqpCQXJdm7bMzeJJdM\n2xcmub27e/XKBACAjXHYJRndfbCqLk9yW5ItSd7S3XdX1ZVJ9nf33iTXJ7mxqg4keTSzUJ0kqar7\nknxxkpOq6ruTfHt3v3/13woAAKy+hdYwd/e+JPuWtV0xt/1kktcd4tgdR1EfAABsKHf6AwCAAYEZ\nAAAGjonLysFm5jJ0AHBsM8MMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDA\ngMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAAMCAwAwDAgMAMAAADAjMAAAwIzAAA\nMCAwAwDAwNaNLgBYWzv23HrEx9x31QVrUAkAHJ/MMAMAwIAZ5jnPZCYO1pvPKQCsL4EZ+AJHGsot\n4QDgRGZJBgAADAjMAAAwYEkGsO4s+QDgeLJQYK6q85L8qyRbkvxSd1+1rP/kJG9N8vVJHkny+u6+\nb+p7U5JLk3wuyT/s7ttWrXrgmOBERABOZIcNzFW1Jcm1Sb4tyQNJ7qyqvd39/rlhlyZ5rLvPqqqL\nklyd5PVVtTPJRUlenuQlSf57VX15d39utd8IcOIyIw3ARlpkhvmcJAe6+94kqaqbkuxOMh+Ydyd5\n87R9S5JfrKqa2m/q7s8k+UhVHZie752rUz7A0XNzFwBGFgnMpyW5f27/gSSvPtSY7j5YVY8nOXVq\n/1/Ljj3tGVcLsID1WCKy1rPeZtUPz+/o8PyO2Agn4ufumDjpr6ouS3LZtPtEVd2zziW8KMnD6/ya\nHHt8DkjW6HNQV6/2M67v858IjvB3tCm/D3yOvsCm/Bystw3+3L10kUGLBOYHk5wxt3/61LbSmAeq\namuSUzI7+W+RY9Pd1yW5bpGC10JV7e/uXRv1+hwbfA5IfA6Y8Tkg8TngaYtch/nOJGdX1ZlVdVJm\nJ/HtXTZmb5JLpu0Lk9ze3T21X1RVJ1fVmUnOTvIHq1M6AACsvcPOME9rki9Pcltml5V7S3ffXVVX\nJtnf3XuTXJ/kxumkvkczC9WZxv1aZicIHkzyQ66QAQDA8aRmE8GbW1VdNi0LYRPzOSDxOWDG54DE\n54CnCcwAADCwyBpmAADYtDZ9YK6q86rqnqo6UFV7Nroe1kdVnVFVb6+q91fV3VX1w1P7l1TVf6uq\nD02PL9zoWllbVbWlqt5dVf9l2j+zqu6YvhNunk525gRWVS+oqluq6oNV9YGq+gbfBZtPVf3o9O/B\n+6rqbVX1bN8HLNnUgXnutt/nJ9mZ5OLpdt6c+A4m+fHu3pnkNUl+aPpvvyfJb3f32Ul+e9rnxPbD\nST4wt391kmu6+6wkjyW5dEOqYj39qyS/1d1fmeRrM/s8+C7YRKrqtCT/MMmu7v6qzC5ycFF8HzDZ\n1IE5c7f97u6nkizd9psTXHd/rLvfNW3/WWb/QJ6W2X//G6ZhNyT57o2pkPVQVacnuSDJL037leRb\nk9wyDfEZOMFV1SlJXpvZ1Z7S3U919yfiu2Az2prkOdP9JJ6b5GPxfcBkswfmlW777dbdm0xV7Ujy\ndUnuSPJl3f2xqetPknzZBpXF+viFJD+R5PPT/qlJPtHdB6d93wknvjOTPJTkl6elOb9UVc+L74JN\npbsfTPJzST6aWVB+PMld8X3AZLMHZja5qnp+kl9P8iPd/cn5vunmOy4jc4Kqqu9I8qfdfddG18KG\n2prklUn+bXd/XZJPZdnyC98FJ75pjfruzP6AekmS5yU5b0OL4piy2QPzQrfu5sRUVV+UWVj+1e7+\njan541X14qn/xUn+dKPqY839pSTfVVX3ZbYc61szW8v6gun/kk18J2wGDyR5oLvvmPZvySxA+y7Y\nXP5qko9090Pd/dkkv5HZd4TvA5IIzIvc9psT0LRW9fokH+jun5/rmr/N+yVJ/vN618b66O43dffp\n3b0js//t397dfyvJ25NcOA3zGTjBdfefJLm/qr5iajo3s7vT+i7YXD6a5DVV9dzp34elz4HvA5K4\ncUmq6q9nto5x6bbf/3yDS2IdVNU3JfmfSd6bp9ev/pPM1jH/WpLtSf44yfd296MbUiTrpqq+Jckb\nu/s7quplmc04f0mSdyf52939mY2sj7VVVa/I7MTPk5Lcm+QHM5tQ8l2wiVTVTyV5fWZXUXp3kr+X\n2Zpl3wcIzAAAMLLZl2QAAMCQwAwAAAMCMwAADAjMAAAwIDADAMCAwAxwlKrqW6qqp5ugHLOq6qSq\n+smq+kBVPTnV3FPfcfEeADbC1sMPAeAEcW1m15ZNZreA/sQG1pKq2pHkB5J8ort/YSNrARgxwwyw\nCVTVKZmF0yT5nu5+fnf/xe7+i1Pbp5Pck+TD61jWjiT/NMmPrONrAhwxM8wAm8NXZPad/0h3/8by\nzu7+gyRfue5VARwHzDADbA7PmR6f2NAqAI5DAjOwKVXVh6eT3C5Yoe9fL50QV1WvXqH/bVPfmw/x\n3N9ZVW+vqseq6omqemdVfd8CNb2mqt5aVfdNJ+U9XFXvqqqfqaqveIbv8wemE/veMTW9dO69dVX9\nwDTukCf9VdU7lsZW1Quq6uqq+mBVfbqqPjE37qSq+uGq+v2q+kRVfbaqPl5Vf1hV11bVN8yNvS/J\n2w9R05/XBXAssCQD2Kx+J8nLkrw2ya3L+v7y3PZrk9xxiP7fWf6kVfUjSa5J0kkez2xm9zVJXlNV\n39jdl69wTCW5KslPzDV/MslJSb5u+nlxnl6DfCT+b5KPT8/1wiSfT/LQsv5FbUtyV2a/t88keWqp\no6q2Jvmvefp3s/T+T03ypUm+Ztp+59T/UJIvPkRNR1oXwJoywwxsVv9jepwPx6mqU5N8VZI/O0T/\n2ZmF16eS/K9lz7ktyc8meWuSF3f3C5O8KMm/nPp/6BAzzW/M02H53yTZ0d2ndPcXJ3lJkjck+dAR\nvbtJd988ndj3N6em+5dO9pt+bj6Cp7siyRclOT/Jc6f6dk1935fZ7+rTSb5/6n9hkpOTvDTJ5Un+\ncK6uVw1qOtK6ANaUGWZgs1qaHf76qnp+dy+t7f3mJJXkV5N8b5Jvqqpndffnp/6lAP0H3b18FvS5\nSf5bkh/o7k6S7n4syRur6kVJLknyU1X1tqX+qf3N0/E/093/ZP4Ju/tjSf790b/dVXFykr/e3e9b\naujuA9Pma6bHt3b3r8z1fy7JRzO7pB3AcckMM7ApdfdHkjyQ2cTBN851LQXityf53SSnJHnFCv1f\nsBxj8jNLYXiZfz49npXka+faL8wsaD+W5KcXrX+D/OZ8WF7mk9Pji9erGID1IjADm9lS6J1fdjEf\niA/Xv9xnk/zeSi/U3R9K8rFp95VzXUszs29fYcb6WPPOQd9vTo+7q2pvVf3NaXkLwHFPYAY2s/8v\nEE839/jaJB/s7o+v0H9mkjOSHEzy+ys838Pd/dQK7UsenB63zbV92fT40SOufv0tPzHvz3X372S2\nxvlgku9M8utJHp5uw/1z09pvgOOSwAxsZksn/r2qqp6T2frlZ+XpoPyezJYafPN0JYul2eW7uvtT\n61rpseFzo87u/ukkX57kTUluy+x395VJfjzJ+6vq76x5hQBrQGAGNq3uvidPX3LtG/J0IH7H1P+5\nzNYxf0mSr87h1y+/qKpOGrzkS6bH+Znaj0+PLz2S2o9V3f2R7r6qu8/L7Pf2VzL7w2Rrkn9TVV+6\noQUCPAMCM7DZzV9ebqVAfLj+eV+UWfD+AlV1Vp4OzO+a61q6NN23TLPcJ4zu/lx3vyPJd2S2vvt5\nefoydMns+svJ7KokAMcsgRnY7JbC73dkdjLe/54u5ba8//uTnJnZsoTfHTzfm6blG1/QPj1+qLvf\nM9d+S2Y36XhhZmuAj0uHmVl/Kk8v5zh5rn3pyhqnrElRAKtEYAY2u6UZ5Fcm2ZIvnD3en+RTSV41\n7b+nuz+ZlX06yblJrl9aerB0K+kkf3ca8+b5A7r74SQ/Ne3uqapfrKrtS/1V9eKq+rGqOtbD9Fur\n6per6q9V1V9YaqyqHUluSPLszP4w+J9zx3wos5nnU6rqe9axVoAjIjADm937kjwyt/+O+c7uXn5F\njEMtx0hma5P/UZIfTPInVfXo9NxLd/G7trv/wwrH/WySX5i2fyjJH1fVJ6rq8ST/J7M7Bb5soXez\ncZ6d2a27fyvJ41X1WFV9KslHkrw+sxnmvz/9gZAkmU6cfNu0e8v0nu+bfi5c3/IBDk1gBja16SYj\n87OeKwXildY0H+r5fiHJd03HPCvJk5mtU/7b3X35oWro7h9N8tokN2d2+bnnJPlMZuud/0WevvHJ\nsWpPZn8Y/FaSezM7kXJLkg8n+eUkr+zuG1c47g1JfibJB/P0bbRfmuT561AzwEJq5RtSAQAAiRlm\nAAAYEpgBAGBAYAYAgIGtG10AAIupqjOS3HmEh/1wd9+8FvUAbBYCM8DxY0uSLzvCY06ouwcCbARX\nyQAAgAFrmAEAYEBgBgCAAYEZAAAGBGYAABgQmAEAYEBgBgCAgf8H6BQHjV4mA7UAAAAASUVORK5C\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422650fe10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAM6/8DWDbTJLHm+h0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42261abf10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsFH1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4226167590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422244fed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngGGJYQAAhiWGAQAY1v8HdNYEPYqDUWIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42227a6b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222287b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222500b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42261c2310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222500290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nljAMAMCwhGEAAIYlDAMAMCxhGACAYf1/2wCOikceMUYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4260265c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f422276ded0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAGBYYhgAgGGJYQAAhiWGAQAY1v8HD6OLJ7CE1zcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42263e5350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42263cdc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4264968390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nljAMAMCwhGEAAIYlDAMAMCxhGACAYf1/UXTmrTkmNDcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f42263d5110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222206490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAAGGCAYAAACe8YwAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4222562750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the rest of the distributions\n",
    "for col in df.columns:\n",
    "    if df.dtypes[col] in ('int64','float64'):\n",
    "        plt.figure(figsize=[12,6])\n",
    "        plt.hist(df[col].dropna(), bins=50, normed=True)\n",
    "        plt.xlabel(col,fontsize=24)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# apply corrections\n",
    "df.loc[df['age']>89, 'age'] = 91.4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 - Write to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df.to_csv('aline_data.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4 - Create a propensity score using this data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will create the propensity score using R in the R markdown file `aline_propensity_score.Rmd`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5 - Close the connection to the database"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "con.close()"
   ]
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}