Predictive Model RF v1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modele prédictif du prix des médicaments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En 5 étapes :\n",
    "\n",
    "* Import des donnees\n",
    "* Analyse descriptive\n",
    "* Preparation des donnees\n",
    "* Creation d’un modele en cross validation\n",
    "* Calcul des predictions et soumission\n",
    "\n",
    "<img src=\"http://pgxmed.com/wp-content/uploads/2014/03/drugsinhand.jpg\" width=\"40%\" height=\"40%\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# I. Import des données"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import unicodedata\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from sklearn.feature_extraction import DictVectorizer\n",
    "from sklearn.cross_validation import KFold\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.grid_search import GridSearchCV\n",
    "import matplotlib.pyplot as plt\n",
    "# for interactive inline plots\n",
    "#%matplotlib notebook  \n",
    "# for simple inline plots\n",
    "%matplotlib inline \n",
    "import seaborn as sns\n",
    "import time, math\n",
    "#from IPython.display import display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "train = pd.read_csv('..\\\\Projets Tech\\\\FrenchData\\\\boites_medicaments_train.csv', encoding='utf-8', sep=';')\n",
    "test = pd.read_csv('..\\\\Projets Tech\\\\FrenchData\\\\boites_medicaments_test.csv', encoding='utf-8', sep=';')\n",
    "\n",
    "# convert all strings to lowercase and remove all accents, remove spaces\n",
    "for i in list(train.select_dtypes(include=['object'])):\n",
    "    # convert all strings to lowercase and remove all accents\n",
    "    train[i] = train[i].str.lower().map(lambda x: unicodedata.normalize('NFKD', x).encode('ASCII', 'ignore'))\n",
    "    test[i] = test[i].str.lower().map(lambda x: unicodedata.normalize('NFKD', x).encode('ASCII', 'ignore'))\n",
    "    # removes space if it is first character\n",
    "    train[i] = train[i].apply(lambda x : x[1:] if x[0]==' ' else x)    \n",
    "    test[i] = test[i].apply(lambda x : x[1:] if x[0]==' ' else x)\n",
    "\n",
    "# convert column name from string to unicode\n",
    "train.rename(columns=lambda x: unicodedata.normalize('NFKD', x).encode('ASCII', 'ignore'), inplace=True)\n",
    "test.rename(columns=lambda x: unicodedata.normalize('NFKD', x).encode('ASCII', 'ignore'), inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# II. Analyse descriptive\n",
    "\n",
    "Pour une meilleure lisibilité, la partie 'analyse descriptive' est présentée dans un notebook séparé. Voir ce notebook pour plus de détails."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Prix suit une loi log-normale. Nous prenons donc la distribution du ln des prix\n",
    "train['logprix'] = train['prix'].apply(np.log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# III. Préparation des données / Feature engineering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Converting Dates to numbers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Converting years to integer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# TRAINING SET\n",
    "train['date declar annee'] = train['date declar annee'].astype(int)\n",
    "train['date amm annee'] = train['date amm annee'].astype(int)\n",
    "\n",
    "# TEST SET\n",
    "test['date declar annee'] = test['date declar annee'].astype(int)\n",
    "test['date amm annee'] = test['date amm annee'].astype(int)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Computes the time difference between  'date declar annee' and  date amm annee'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train['date diff'] = train['date declar annee'] - train['date amm annee']\n",
    "test['date diff'] = test['date declar annee'] - test['date amm annee']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Nombre de substances et titulaires pour chaque médicament"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# COMPUTING THE NUMBER OF SUBSTANCES IN EACH DRUG\n",
    "train['substances_nb'] = train['substances'].apply(lambda x:  len(x.split(','))    ).astype(int)  \n",
    "test['substances_nb'] = test['substances'].apply(lambda x:  len(x.split(','))    ).astype(int) \n",
    "\n",
    "# COMPUTING THE NUMBER OF TITULAIRES FOR EACH DRUG\n",
    "train['titulaires_nb'] = train['titulaires'].apply(lambda x:  len(x.split(','))    ).astype(int)  \n",
    "test['titulaires_nb'] = test['titulaires'].apply(lambda x:  len(x.split(','))    ).astype(int) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Traitement des données texte"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 Identification des features contenant plus d'un label par médicament\n",
    "\n",
    "Les features texte sont listées dans 'list_temp' :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "substances\n",
      "1     4940\n",
      "2     3114\n",
      "3      236\n",
      "4      172\n",
      "5       41\n",
      "6       16\n",
      "27       8\n",
      "30       6\n",
      "31       4\n",
      "23       4\n",
      "8        4\n",
      "29       4\n",
      "34       3\n",
      "10       3\n",
      "9        2\n",
      "7        2\n",
      "11       2\n",
      "28       1\n",
      "25       1\n",
      "17       1\n",
      "Name: substances, dtype: int64\n",
      "\n",
      "titulaires\n",
      "1    8562\n",
      "2       2\n",
      "Name: titulaires, dtype: int64\n",
      "\n",
      "statut\n",
      "1    8564\n",
      "Name: statut, dtype: int64\n",
      "\n",
      "etat commerc\n",
      "1    8564\n",
      "Name: etat commerc, dtype: int64\n",
      "\n",
      "statut admin\n",
      "1    8564\n",
      "Name: statut admin, dtype: int64\n",
      "\n",
      "type proc\n",
      "1    8564\n",
      "Name: type proc, dtype: int64\n",
      "\n",
      "forme pharma\n",
      "1    8564\n",
      "Name: forme pharma, dtype: int64\n",
      "\n",
      "voies admin\n",
      "1    8163\n",
      "2     282\n",
      "3      52\n",
      "5      30\n",
      "4      15\n",
      "6      12\n",
      "7       8\n",
      "8       2\n",
      "Name: voies admin, dtype: int64\n",
      "\n"
     ]
    }
   ],
   "source": [
    "list_temp = ['substances', 'titulaires' ,'statut', 'etat commerc', 'statut admin', 'type proc', 'forme pharma', 'voies admin']\n",
    "for i in list_temp:\n",
    "    print i\n",
    "    print train[i].apply(lambda x:  len(x.split(','))  ).value_counts()\n",
    "    print "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Par exemple, 3114 médicaments ont 2 substances, 336 ont 3 substances. On en déduit que:\n",
    "- les features avec de nombreux labels différents par médicaments (substances, titulaires et voies admin) seront traitées sous la forme de document term matrix\n",
    "- les features catégorielles (un ou deux label(s) par médicament, sans ordre) pourront etre one-hot-encodées (avec DictVectorizer)\n",
    "- les features ordinales (un label par médicament, avec ordre) pourront etre simplement encodées (avec LabelEncoder).  \n",
    "\n",
    "Comme détaillé dans le notebook 'analyse descriptive', nous allons créer les matrices de fréquence des mots (matrices tf-idf), de manière à convertir les champs textes 'features substances, titulaires et voies admin' en nombre binaire, que nous pourrons utiliser avec un algorithme d'apprentissage. Voir http://scikit-learn.org/stable/modules/feature_extraction.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Tf–idf term weighting for 'substances', 'titulaires', 'voies admin'\n",
    "\n",
    "In a large text corpus, some words will be very present (e.g. “the”, “a”, “is” in English) hence carrying very little meaningful information about the actual contents of the document.\n",
    "tf–idf means term-frequency times inverse document-frequency. TfidfVectorizer combines all the options of CountVectorizer and TfidfTransformer in a single model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dimension of tf-idf after PCA for titulaires  - train: (8564L, 78L)  and test: (3671L, 78L)\n",
      "Dimension of tf-idf after PCA for substances  - train: (8564L, 360L)  and test: (3671L, 360L)\n",
      "Dimension of tf-idf after PCA for voies admin  - train: (8564L, 8L)  and test: (3671L, 8L)\n",
      "--------------------------------------------------------------------------------\n",
      "Total --- train: (8564, 446) and test: (3671, 446)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "feat_text = ['titulaires', 'substances', 'voies admin']      \n",
    "\n",
    "def apply_tfidf_pca(feature, pca_yes=False):                           # PCA: 90% of the variance is retained\n",
    "    vectorizer = TfidfVectorizer(encoding='utf-8', strip_accents='ascii', lowercase=True)\n",
    "    tfidf_train = vectorizer.fit_transform(train[feature]).toarray()   # on training set\n",
    "    tfidf_test = vectorizer.transform(test[feature]).toarray()         # on test set\n",
    "    if pca_yes==True:\n",
    "        pca = PCA(n_components=0.90, whiten=True)                      # 0.90 of variance \n",
    "        tfidf_train, tfidf_test = pca.fit_transform(tfidf_train), pca.transform(tfidf_test)   # on the training and test set\n",
    "    return tfidf_train, tfidf_test   \n",
    "\n",
    "feat_text_tf = []\n",
    "Xpca_train = np.empty([train.shape[0], 0])\n",
    "Xpca_test = np.empty([test.shape[0], 0])\n",
    "for feat in feat_text:\n",
    "    # computes a tfidf matrix, apply PCA, for each text feature:\n",
    "    tfidf_pca_train, tfidf_pca_test = apply_tfidf_pca(feat, pca_yes=True)\n",
    "    print 'Dimension of tf-idf after PCA for', feat, ' - train:',tfidf_pca_train.shape, ' and test:',tfidf_pca_test.shape \n",
    "    # builds a matrix containing all the reduced components of each tfidf matrix:\n",
    "    Xpca_train = np.hstack((Xpca_train, tfidf_pca_train))\n",
    "    Xpca_test = np.hstack((Xpca_test, tfidf_pca_test))\n",
    "    # creates a name for each component:    \n",
    "    feat_text_tf = feat_text_tf + ['component_'+feat[0:5]+'_'+str(x) for x in range(0,tfidf_pca_train.shape[1])]\n",
    "\n",
    "# creates dataframe out of Xpca_train and Xpca_train  \n",
    "tfidf_train_df = pd.DataFrame(data=Xpca_train, index=train.index, columns=feat_text_tf)   \n",
    "tfidf_test_df = pd.DataFrame(data=Xpca_test, index=test.index, columns=feat_text_tf)\n",
    "\n",
    "# and join to the train and test dataset:\n",
    "train = train.join(tfidf_train_df)\n",
    "test = test.join(tfidf_test_df)\n",
    "\n",
    "print '-' * 80\n",
    "print 'Total ---', 'train:', tfidf_train_df.shape, 'and test:', tfidf_test_df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Note: Dimension reduction with PCA analysis (on the tf-idf of 'susbtances')\n",
    "\n",
    "The tf-idf transformation above is followed with a dimension reduction with Princial Component Analysis (PCA), in order to reduce the computing time with the learning algorithm (while retaining 90% of the variance between samples).\n",
    "\n",
    "Linear dimensionality reduction uses Singular Value Decomposition (SVD) of the data and keeps only the most significant singular vectors to project the data to a lower dimensional space. Here, the normalized term-frequency matrix for 'substances', which is comprised of ~1,300 features, is projected on the ~360 dimensions that explain most (90%) variance between samples.\n",
    "\n",
    "The whitening operation takes the data in the eigenbasis and divides every dimension by the eigenvalue to normalize the scale. The geometric interpretation of this transformation is that if the input data is a multivariable gaussian, then the whitened data will be a gaussian with zero mean and identity covariance matrix. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Synthèse des features du modèle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# features numériques\n",
    "feat_num = ['libelle_plaquette', 'libelle_ampoule', 'libelle_flacon', \n",
    "            'libelle_tube', 'libelle_stylo', 'libelle_seringue',\n",
    "            'libelle_pilulier', 'libelle_sachet', 'libelle_comprime', \n",
    "            'libelle_gelule', 'libelle_film', 'libelle_poche',\n",
    "            'libelle_capsule'] + ['nb_plaquette', 'nb_ampoule', \n",
    "            'nb_flacon', 'nb_tube', 'nb_stylo', 'nb_seringue',\n",
    "            'nb_pilulier', 'nb_sachet', 'nb_comprime', 'nb_gelule', \n",
    "            'nb_film', 'nb_poche', 'nb_capsule', 'nb_ml']\n",
    "feat_num2 =  ['substances_nb'] + ['titulaires_nb'] \n",
    "\n",
    "# features date\n",
    "feat_dates = ['date declar annee', 'date amm annee'] + ['date diff']\n",
    "\n",
    "# features ordinales:\n",
    "feat_ord = ['tx rembours']\n",
    "\n",
    "# features catégorielles\n",
    "feat_cat = ['statut', 'etat commerc', 'agrement col',\n",
    "             'statut admin', 'type proc', 'forme pharma']\n",
    "\n",
    "# features texte (text converted to low dimension tfidf matrices):\n",
    "feat_text = ['titulaires', 'substances', 'voies admin'] \n",
    "\n",
    "FEATURES = feat_num + feat_num2 + feat_dates + feat_ord "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Encodage des features ordinales et catégorielles\n",
    "\n",
    "- à l'aide de LabelEncoder(), pour le features ordinales: tx rembours\n",
    "- à l'aide de One-Hot-Encoding, pour le features catégorielles (categorical): agrement col, etat commerc, forme pharma, statut, statut admin, type proc\n",
    "\n",
    "Note: LabelEncoder assigns an integer to each category (we are assuming we know all of the possible categories up front).  This is called ordinal coding.  It does not add any dimensions to the problem, **but implies an order to the variable that may not actually exist**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Encodage des features ordinales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for c in feat_ord:\n",
    "    le = LabelEncoder()\n",
    "    le.fit(train[c].append(test[c]))    # fitting on both train and test\n",
    "    train[c] = le.transform(train[c])   # transforming on train\n",
    "    test[c] = le.transform(test[c])     # transforming on test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Encodage des features catégorielles par one-hot encoding (using DictVectorizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def one_hot_dataframe(data_train, data_test, cols, replace=False):\n",
    "    vec = DictVectorizer()\n",
    "    mkdict = lambda row: dict((col, row[col]) for col in cols)\n",
    "    data_tot = data_train.append(data_test)\n",
    "    vec.fit(data_tot[cols].apply(mkdict, axis=1))   # fit on both train and test\n",
    "    # on train\n",
    "    vecData_train = pd.DataFrame(vec.transform(data_train[cols].apply(mkdict, axis=1)).toarray()).astype(int)\n",
    "    vecData_train.columns = vec.get_feature_names()\n",
    "    vecData_train.index = data_train.index\n",
    "    # on test\n",
    "    vecData_test = pd.DataFrame(vec.transform(data_test[cols].apply(mkdict, axis=1)).toarray()).astype(int)\n",
    "    vecData_test.columns = vec.get_feature_names()\n",
    "    vecData_test.index = data_test.index\n",
    "    if replace is True:\n",
    "        data_train = data_train.drop(cols, axis=1)\n",
    "        data_train = data_train.join(vecData_train)\n",
    "        data_test = data_test.drop(cols, axis=1)\n",
    "        data_test = data_test.join(vecData_test)\n",
    "    return data_train, data_test, list(vecData_train)\n",
    "\n",
    "''' Alternative: Encodage des features catégorielles par one-hot encoding (using LabelEncoder + OneHotEncoder)\n",
    "label_encoder = LabelEncoder()\n",
    "encoder = OneHotEncoder()\n",
    "data_label_encoded = label_encoder.fit_transform(train_copy['tx rembours'])\n",
    "train_copy['tx rembours'] = data_label_encoded\n",
    "data_feature_one_hot_encoded = encoder.fit_transform(train_copy[['tx rembours']])\n",
    "data_feature_one_hot_encoded_df = pd.DataFrame(data_feature_one_hot_encoded.toarray()).astype(int)'''\n",
    "\n",
    "train, test, feat_cat_allcol = one_hot_dataframe(train, test, feat_cat, replace=True)\n",
    "\n",
    "# update the list of features\n",
    "FEATURES = FEATURES + feat_cat_allcol"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Enfin, encodage des features textes par la creation d'une matrice tf-idf pour chaque feature texte: voir **section 3.2 ci-dessus**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# update the list of features\n",
    "FEATURES = FEATURES + feat_text_tf   # pour memoire, feat_text_tf = PCA components of ['titulaires', 'substances', 'voies admin'] "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Affiche toutes les features (encodées et pretes pour l'apprentissage)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "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>libelle_plaquette</th>\n",
       "      <th>libelle_ampoule</th>\n",
       "      <th>libelle_flacon</th>\n",
       "      <th>libelle_tube</th>\n",
       "      <th>libelle_stylo</th>\n",
       "      <th>libelle_seringue</th>\n",
       "      <th>libelle_pilulier</th>\n",
       "      <th>libelle_sachet</th>\n",
       "      <th>libelle_comprime</th>\n",
       "      <th>libelle_gelule</th>\n",
       "      <th>libelle_film</th>\n",
       "      <th>libelle_poche</th>\n",
       "      <th>libelle_capsule</th>\n",
       "      <th>nb_plaquette</th>\n",
       "      <th>nb_ampoule</th>\n",
       "      <th>nb_flacon</th>\n",
       "      <th>nb_tube</th>\n",
       "      <th>nb_stylo</th>\n",
       "      <th>nb_seringue</th>\n",
       "      <th>nb_pilulier</th>\n",
       "      <th>nb_sachet</th>\n",
       "      <th>nb_comprime</th>\n",
       "      <th>nb_gelule</th>\n",
       "      <th>nb_film</th>\n",
       "      <th>nb_poche</th>\n",
       "      <th>nb_capsule</th>\n",
       "      <th>nb_ml</th>\n",
       "      <th>substances_nb</th>\n",
       "      <th>titulaires_nb</th>\n",
       "      <th>date declar annee</th>\n",
       "      <th>date amm annee</th>\n",
       "      <th>date diff</th>\n",
       "      <th>tx rembours</th>\n",
       "      <th>agrement col=non</th>\n",
       "      <th>agrement col=oui</th>\n",
       "      <th>etat commerc=arret de commercialisation (le medicament n'a plus d'autorisation)</th>\n",
       "      <th>etat commerc=declaration d'arret de commercialisation</th>\n",
       "      <th>etat commerc=declaration de commercialisation</th>\n",
       "      <th>etat commerc=declaration de suspension de commercialisation</th>\n",
       "      <th>forme pharma=capsule</th>\n",
       "      <th>forme pharma=capsule molle</th>\n",
       "      <th>forme pharma=capsule molle gastro-resistant(e)</th>\n",
       "      <th>forme pharma=capsule molle ou</th>\n",
       "      <th>forme pharma=collyre</th>\n",
       "      <th>forme pharma=collyre a liberation prolongee</th>\n",
       "      <th>forme pharma=collyre en solution</th>\n",
       "      <th>forme pharma=collyre en suspension</th>\n",
       "      <th>forme pharma=comprime</th>\n",
       "      <th>forme pharma=comprime a croquer</th>\n",
       "      <th>forme pharma=comprime a croquer ou a sucer</th>\n",
       "      <th>forme pharma=comprime a croquer ou dispersible</th>\n",
       "      <th>forme pharma=comprime a liberation modifiee</th>\n",
       "      <th>forme pharma=comprime a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime a sucer</th>\n",
       "      <th>forme pharma=comprime a sucer a croquer ou dispersible</th>\n",
       "      <th>forme pharma=comprime a sucer ou a croquer</th>\n",
       "      <th>forme pharma=comprime a sucer secable</th>\n",
       "      <th>forme pharma=comprime dispersible</th>\n",
       "      <th>forme pharma=comprime dispersible et orodispersible</th>\n",
       "      <th>forme pharma=comprime dispersible orodispersible</th>\n",
       "      <th>forme pharma=comprime dispersible ou a croquer</th>\n",
       "      <th>forme pharma=comprime dispersible secable</th>\n",
       "      <th>forme pharma=comprime drageifie</th>\n",
       "      <th>forme pharma=comprime effervescent(e)</th>\n",
       "      <th>forme pharma=comprime effervescent(e) secable</th>\n",
       "      <th>forme pharma=comprime enrobe</th>\n",
       "      <th>forme pharma=comprime enrobe a croquer</th>\n",
       "      <th>forme pharma=comprime enrobe a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime enrobe et  comprime enrobe</th>\n",
       "      <th>forme pharma=comprime enrobe et  comprime enrobe enrobe</th>\n",
       "      <th>forme pharma=comprime enrobe et  comprime enrobe et  comprime enrobe</th>\n",
       "      <th>forme pharma=comprime enrobe gastro-resistant(e)</th>\n",
       "      <th>forme pharma=comprime enrobe secable</th>\n",
       "      <th>forme pharma=comprime et  comprime</th>\n",
       "      <th>forme pharma=comprime et  comprime et  comprime</th>\n",
       "      <th>forme pharma=comprime et  comprime pellicule</th>\n",
       "      <th>forme pharma=comprime gastro-resistant(e)</th>\n",
       "      <th>forme pharma=comprime muco-adhesif</th>\n",
       "      <th>forme pharma=comprime orodispersible</th>\n",
       "      <th>forme pharma=comprime orodispersible dispersible</th>\n",
       "      <th>forme pharma=comprime orodispersible secable</th>\n",
       "      <th>forme pharma=comprime osmotique a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime osmotique pellicule a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime ou a sucer a croquer</th>\n",
       "      <th>forme pharma=comprime pellicule</th>\n",
       "      <th>forme pharma=comprime pellicule a liberation modifiee</th>\n",
       "      <th>forme pharma=comprime pellicule a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime pellicule dispersible</th>\n",
       "      <th>forme pharma=comprime pellicule et  comprime pellicule</th>\n",
       "      <th>forme pharma=comprime pellicule et  comprime pellicule et  comprime pellicule</th>\n",
       "      <th>forme pharma=comprime pellicule et  comprime pellicule pellicule</th>\n",
       "      <th>forme pharma=comprime pellicule et  granules effervescent(e)</th>\n",
       "      <th>forme pharma=comprime pellicule gastro-resistant(e)</th>\n",
       "      <th>forme pharma=comprime pellicule quadrisecable</th>\n",
       "      <th>forme pharma=comprime pellicule secable</th>\n",
       "      <th>forme pharma=comprime pellicule secable a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime pour suspension buvable</th>\n",
       "      <th>forme pharma=comprime quadrisecable</th>\n",
       "      <th>forme pharma=comprime secable</th>\n",
       "      <th>forme pharma=comprime secable a liberation modifiee</th>\n",
       "      <th>forme pharma=comprime secable a liberation prolongee</th>\n",
       "      <th>forme pharma=comprime secable pellicule</th>\n",
       "      <th>forme pharma=comprime secable pour suspension buvable</th>\n",
       "      <th>forme pharma=creme</th>\n",
       "      <th>forme pharma=creme epaisse pour application</th>\n",
       "      <th>forme pharma=creme pour application</th>\n",
       "      <th>forme pharma=dispositif</th>\n",
       "      <th>forme pharma=dispositif et  dispositif</th>\n",
       "      <th>forme pharma=emplatre medicamenteux(se)</th>\n",
       "      <th>forme pharma=emulsion et  solution et  solution pour perfusion</th>\n",
       "      <th>forme pharma=emulsion fluide pour application</th>\n",
       "      <th>forme pharma=emulsion injectable pour perfusion</th>\n",
       "      <th>forme pharma=emulsion pour application</th>\n",
       "      <th>forme pharma=emulsion pour perfusion</th>\n",
       "      <th>forme pharma=film orodispersible</th>\n",
       "      <th>forme pharma=gel</th>\n",
       "      <th>forme pharma=gel pour application</th>\n",
       "      <th>forme pharma=gelee</th>\n",
       "      <th>forme pharma=gelule</th>\n",
       "      <th>forme pharma=gelule a liberation modifiee</th>\n",
       "      <th>forme pharma=gelule a liberation prolongee</th>\n",
       "      <th>forme pharma=gelule et  gelule</th>\n",
       "      <th>forme pharma=gelule et  gelule gastro-resistant(e)</th>\n",
       "      <th>forme pharma=gelule gastro-resistant(e)</th>\n",
       "      <th>forme pharma=granules</th>\n",
       "      <th>forme pharma=granules a liberation prolongee</th>\n",
       "      <th>forme pharma=granules buvable pour suspension</th>\n",
       "      <th>forme pharma=granules effervescent(e) pour solution buvable</th>\n",
       "      <th>forme pharma=granules enrobe</th>\n",
       "      <th>forme pharma=granules enrobe en vrac</th>\n",
       "      <th>forme pharma=granules et  solvant pour suspension buvable</th>\n",
       "      <th>forme pharma=granules gastro-resistant(e)</th>\n",
       "      <th>forme pharma=granules gastro-resistant(e) pour suspension buvable</th>\n",
       "      <th>forme pharma=granules pour sirop</th>\n",
       "      <th>forme pharma=granules pour solution buvable</th>\n",
       "      <th>forme pharma=granules pour suspension buvable</th>\n",
       "      <th>forme pharma=implant</th>\n",
       "      <th>forme pharma=implant injectable</th>\n",
       "      <th>forme pharma=lotion</th>\n",
       "      <th>forme pharma=lotion pour application</th>\n",
       "      <th>forme pharma=lyophilisat</th>\n",
       "      <th>forme pharma=lyophilisat et  solution pour usage parenteral</th>\n",
       "      <th>forme pharma=lyophilisat et  solvant pour collyre</th>\n",
       "      <th>forme pharma=lyophilisat pour usage parenteral</th>\n",
       "      <th>forme pharma=lyophilisat pour usage parenteral pour perfusion</th>\n",
       "      <th>forme pharma=microgranule a liberation prolongee en gelule</th>\n",
       "      <th>forme pharma=microgranule en comprime</th>\n",
       "      <th>forme pharma=microgranule gastro-resistant(e)</th>\n",
       "      <th>forme pharma=microgranule gastro-resistant(e) en gelule</th>\n",
       "      <th>forme pharma=microsphere et  solution pour usage parenteral a liberation prolongee</th>\n",
       "      <th>forme pharma=mousse</th>\n",
       "      <th>forme pharma=mousse pour application</th>\n",
       "      <th>forme pharma=ovule</th>\n",
       "      <th>forme pharma=ovule a liberation prolongee</th>\n",
       "      <th>forme pharma=pansement adhesif(ve)</th>\n",
       "      <th>forme pharma=pate</th>\n",
       "      <th>forme pharma=pate pour application</th>\n",
       "      <th>forme pharma=pilule enrobe</th>\n",
       "      <th>forme pharma=pommade</th>\n",
       "      <th>forme pharma=pommade pour application</th>\n",
       "      <th>forme pharma=poudre</th>\n",
       "      <th>forme pharma=poudre buvable effervescent(e) pour suspension</th>\n",
       "      <th>forme pharma=poudre buvable pour solution</th>\n",
       "      <th>forme pharma=poudre buvable pour suspension</th>\n",
       "      <th>forme pharma=poudre effervescent(e) pour solution buvable</th>\n",
       "      <th>forme pharma=poudre effervescent(e) pour suspension buvable</th>\n",
       "      <th>forme pharma=poudre et  poudre pour solution buvable</th>\n",
       "      <th>forme pharma=poudre et  solution pour preparation injectable</th>\n",
       "      <th>forme pharma=poudre et  solution pour solution injectable</th>\n",
       "      <th>forme pharma=poudre et  solution pour usage parenteral</th>\n",
       "      <th>forme pharma=poudre et  solvant</th>\n",
       "      <th>forme pharma=poudre et  solvant pour collyre en solution</th>\n",
       "      <th>forme pharma=poudre et  solvant pour dispersion injectable</th>\n",
       "      <th>forme pharma=poudre et  solvant pour inhalation par nebuliseur</th>\n",
       "      <th>forme pharma=poudre et  solvant pour preparation injectable</th>\n",
       "      <th>forme pharma=poudre et  solvant pour solution injectable</th>\n",
       "      <th>forme pharma=poudre et  solvant pour solution injectable ou pour perfusion</th>\n",
       "      <th>forme pharma=poudre et  solvant pour solution pour administration intravesicale</th>\n",
       "      <th>forme pharma=poudre et  solvant pour solution pour perfusion</th>\n",
       "      <th>forme pharma=poudre et  solvant pour suspension injectable</th>\n",
       "      <th>forme pharma=poudre et  solvant pour suspension injectable a liberation prolongee</th>\n",
       "      <th>forme pharma=poudre et  solvant pour suspension pour administration intravesicale</th>\n",
       "      <th>forme pharma=poudre et  solvant pour suspension pour instillation</th>\n",
       "      <th>forme pharma=poudre et  suspension pour suspension injectable</th>\n",
       "      <th>forme pharma=poudre pour aerosol et pour usage parenteral</th>\n",
       "      <th>forme pharma=poudre pour application</th>\n",
       "      <th>forme pharma=poudre pour inhalation</th>\n",
       "      <th>forme pharma=poudre pour inhalation en gelule</th>\n",
       "      <th>forme pharma=poudre pour inhalation et  poudre pour inhalation</th>\n",
       "      <th>forme pharma=poudre pour solution</th>\n",
       "      <th>forme pharma=poudre pour solution buvable</th>\n",
       "      <th>forme pharma=poudre pour solution buvable enteral(e)</th>\n",
       "      <th>forme pharma=poudre pour solution buvable et gastro-enterale</th>\n",
       "      <th>forme pharma=poudre pour solution injectable</th>\n",
       "      <th>forme pharma=poudre pour solution injectable ou pour perfusion</th>\n",
       "      <th>forme pharma=poudre pour solution injectable pour perfusion</th>\n",
       "      <th>forme pharma=poudre pour solution pour irrigation vesical(e)</th>\n",
       "      <th>forme pharma=poudre pour solution pour perfusion</th>\n",
       "      <th>forme pharma=poudre pour suspension</th>\n",
       "      <th>forme pharma=poudre pour suspension buvable</th>\n",
       "      <th>forme pharma=poudre pour suspension et</th>\n",
       "      <th>forme pharma=poudre pour suspension ou</th>\n",
       "      <th>forme pharma=poudre pour suspension pour administration intravesicale</th>\n",
       "      <th>forme pharma=poudre pour usage parenteral</th>\n",
       "      <th>forme pharma=shampooing</th>\n",
       "      <th>forme pharma=sirop</th>\n",
       "      <th>forme pharma=solution</th>\n",
       "      <th>forme pharma=solution a diluer et  solvant pour solution injectable</th>\n",
       "      <th>forme pharma=solution a diluer injectable ou pour perfusion</th>\n",
       "      <th>forme pharma=solution a diluer pour perfusion</th>\n",
       "      <th>forme pharma=solution a diluer pour solution buvable</th>\n",
       "      <th>forme pharma=solution buvable</th>\n",
       "      <th>forme pharma=solution buvable en gouttes</th>\n",
       "      <th>forme pharma=solution buvable et injectable</th>\n",
       "      <th>forme pharma=solution buvable gouttes</th>\n",
       "      <th>forme pharma=solution buvable ou</th>\n",
       "      <th>forme pharma=solution et  emulsion et  solution pour perfusion</th>\n",
       "      <th>forme pharma=solution et  solution et  emulsion pour perfusion</th>\n",
       "      <th>forme pharma=solution et  solution injectable</th>\n",
       "      <th>forme pharma=solution et  solution pour perfusion</th>\n",
       "      <th>forme pharma=solution filmogene pour application</th>\n",
       "      <th>forme pharma=solution gouttes</th>\n",
       "      <th>forme pharma=solution injectable</th>\n",
       "      <th>forme pharma=solution injectable et buvable</th>\n",
       "      <th>forme pharma=solution injectable hypertonique</th>\n",
       "      <th>forme pharma=solution injectable ou pour perfusion</th>\n",
       "      <th>forme pharma=solution moussant(e)</th>\n",
       "      <th>forme pharma=solution ou</th>\n",
       "      <th>forme pharma=solution pour administration endonasale</th>\n",
       "      <th>forme pharma=solution pour application</th>\n",
       "      <th>forme pharma=solution pour application a diluer</th>\n",
       "      <th>forme pharma=solution pour application moussant(e)</th>\n",
       "      <th>forme pharma=solution pour application sterile</th>\n",
       "      <th>forme pharma=solution pour bain de bouche</th>\n",
       "      <th>forme pharma=solution pour inhalation</th>\n",
       "      <th>forme pharma=solution pour inhalation par nebuliseur</th>\n",
       "      <th>forme pharma=solution pour instillation</th>\n",
       "      <th>forme pharma=solution pour lavage</th>\n",
       "      <th>forme pharma=solution pour perfusion</th>\n",
       "      <th>forme pharma=solution pour pulverisation</th>\n",
       "      <th>forme pharma=solution pour pulverisation endo-buccal(e)</th>\n",
       "      <th>forme pharma=suppositoire</th>\n",
       "      <th>forme pharma=suppositoire effervescent(e)</th>\n",
       "      <th>forme pharma=suppositoire secable</th>\n",
       "      <th>forme pharma=suspension</th>\n",
       "      <th>forme pharma=suspension buvable</th>\n",
       "      <th>forme pharma=suspension buvable a diluer</th>\n",
       "      <th>forme pharma=suspension injectable</th>\n",
       "      <th>forme pharma=suspension injectable a liberation prolongee</th>\n",
       "      <th>forme pharma=suspension par nebuliseur pour inhalation</th>\n",
       "      <th>forme pharma=suspension pour inhalation</th>\n",
       "      <th>forme pharma=suspension pour inhalation par nebuliseur</th>\n",
       "      <th>forme pharma=suspension pour instillation</th>\n",
       "      <th>forme pharma=suspension pour pulverisation</th>\n",
       "      <th>forme pharma=systeme de diffusion</th>\n",
       "      <th>forme pharma=vernis a ongles medicamenteux(se)</th>\n",
       "      <th>statut admin=autorisation abrogee</th>\n",
       "      <th>statut admin=autorisation active</th>\n",
       "      <th>statut admin=autorisation archivee</th>\n",
       "      <th>statut admin=autorisation retiree</th>\n",
       "      <th>statut admin=autorisation suspendue</th>\n",
       "      <th>statut=presentation abrogee</th>\n",
       "      <th>statut=presentation active</th>\n",
       "      <th>type proc=autorisation d'importation parallele</th>\n",
       "      <th>type proc=procedure centralisee</th>\n",
       "      <th>type proc=procedure de reconnaissance mutuelle</th>\n",
       "      <th>type proc=procedure decentralisee</th>\n",
       "      <th>type proc=procedure nationale</th>\n",
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       "      <th>component_titul_5</th>\n",
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       "      <th>component_subst_39</th>\n",
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       "      <th>component_subst_41</th>\n",
       "      <th>component_subst_42</th>\n",
       "      <th>component_subst_43</th>\n",
       "      <th>component_subst_44</th>\n",
       "      <th>component_subst_45</th>\n",
       "      <th>component_subst_46</th>\n",
       "      <th>component_subst_47</th>\n",
       "      <th>component_subst_48</th>\n",
       "      <th>component_subst_49</th>\n",
       "      <th>component_subst_50</th>\n",
       "      <th>component_subst_51</th>\n",
       "      <th>component_subst_52</th>\n",
       "      <th>component_subst_53</th>\n",
       "      <th>component_subst_54</th>\n",
       "      <th>component_subst_55</th>\n",
       "      <th>component_subst_56</th>\n",
       "      <th>component_subst_57</th>\n",
       "      <th>component_subst_58</th>\n",
       "      <th>component_subst_59</th>\n",
       "      <th>component_subst_60</th>\n",
       "      <th>component_subst_61</th>\n",
       "      <th>component_subst_62</th>\n",
       "      <th>component_subst_63</th>\n",
       "      <th>component_subst_64</th>\n",
       "      <th>component_subst_65</th>\n",
       "      <th>component_subst_66</th>\n",
       "      <th>component_subst_67</th>\n",
       "      <th>component_subst_68</th>\n",
       "      <th>component_subst_69</th>\n",
       "      <th>component_subst_70</th>\n",
       "      <th>component_subst_71</th>\n",
       "      <th>component_subst_72</th>\n",
       "      <th>component_subst_73</th>\n",
       "      <th>component_subst_74</th>\n",
       "      <th>component_subst_75</th>\n",
       "      <th>component_subst_76</th>\n",
       "      <th>component_subst_77</th>\n",
       "      <th>component_subst_78</th>\n",
       "      <th>component_subst_79</th>\n",
       "      <th>component_subst_80</th>\n",
       "      <th>component_subst_81</th>\n",
       "      <th>component_subst_82</th>\n",
       "      <th>component_subst_83</th>\n",
       "      <th>component_subst_84</th>\n",
       "      <th>component_subst_85</th>\n",
       "      <th>component_subst_86</th>\n",
       "      <th>component_subst_87</th>\n",
       "      <th>component_subst_88</th>\n",
       "      <th>component_subst_89</th>\n",
       "      <th>component_subst_90</th>\n",
       "      <th>component_subst_91</th>\n",
       "      <th>component_subst_92</th>\n",
       "      <th>component_subst_93</th>\n",
       "      <th>component_subst_94</th>\n",
       "      <th>component_subst_95</th>\n",
       "      <th>component_subst_96</th>\n",
       "      <th>component_subst_97</th>\n",
       "      <th>component_subst_98</th>\n",
       "      <th>component_subst_99</th>\n",
       "      <th>component_subst_100</th>\n",
       "      <th>component_subst_101</th>\n",
       "      <th>component_subst_102</th>\n",
       "      <th>component_subst_103</th>\n",
       "      <th>component_subst_104</th>\n",
       "      <th>component_subst_105</th>\n",
       "      <th>component_subst_106</th>\n",
       "      <th>component_subst_107</th>\n",
       "      <th>component_subst_108</th>\n",
       "      <th>component_subst_109</th>\n",
       "      <th>component_subst_110</th>\n",
       "      <th>component_subst_111</th>\n",
       "      <th>component_subst_112</th>\n",
       "      <th>component_subst_113</th>\n",
       "      <th>component_subst_114</th>\n",
       "      <th>component_subst_115</th>\n",
       "      <th>component_subst_116</th>\n",
       "      <th>component_subst_117</th>\n",
       "      <th>component_subst_118</th>\n",
       "      <th>component_subst_119</th>\n",
       "      <th>component_subst_120</th>\n",
       "      <th>component_subst_121</th>\n",
       "      <th>component_subst_122</th>\n",
       "      <th>component_subst_123</th>\n",
       "      <th>component_subst_124</th>\n",
       "      <th>component_subst_125</th>\n",
       "      <th>component_subst_126</th>\n",
       "      <th>component_subst_127</th>\n",
       "      <th>component_subst_128</th>\n",
       "      <th>component_subst_129</th>\n",
       "      <th>component_subst_130</th>\n",
       "      <th>component_subst_131</th>\n",
       "      <th>component_subst_132</th>\n",
       "      <th>component_subst_133</th>\n",
       "      <th>component_subst_134</th>\n",
       "      <th>component_subst_135</th>\n",
       "      <th>component_subst_136</th>\n",
       "      <th>component_subst_137</th>\n",
       "      <th>component_subst_138</th>\n",
       "      <th>component_subst_139</th>\n",
       "      <th>component_subst_140</th>\n",
       "      <th>component_subst_141</th>\n",
       "      <th>component_subst_142</th>\n",
       "      <th>component_subst_143</th>\n",
       "      <th>component_subst_144</th>\n",
       "      <th>component_subst_145</th>\n",
       "      <th>component_subst_146</th>\n",
       "      <th>component_subst_147</th>\n",
       "      <th>component_subst_148</th>\n",
       "      <th>component_subst_149</th>\n",
       "      <th>component_subst_150</th>\n",
       "      <th>component_subst_151</th>\n",
       "      <th>component_subst_152</th>\n",
       "      <th>component_subst_153</th>\n",
       "      <th>component_subst_154</th>\n",
       "      <th>component_subst_155</th>\n",
       "      <th>component_subst_156</th>\n",
       "      <th>component_subst_157</th>\n",
       "      <th>component_subst_158</th>\n",
       "      <th>component_subst_159</th>\n",
       "      <th>component_subst_160</th>\n",
       "      <th>component_subst_161</th>\n",
       "      <th>component_subst_162</th>\n",
       "      <th>component_subst_163</th>\n",
       "      <th>component_subst_164</th>\n",
       "      <th>component_subst_165</th>\n",
       "      <th>component_subst_166</th>\n",
       "      <th>component_subst_167</th>\n",
       "      <th>component_subst_168</th>\n",
       "      <th>component_subst_169</th>\n",
       "      <th>component_subst_170</th>\n",
       "      <th>component_subst_171</th>\n",
       "      <th>component_subst_172</th>\n",
       "      <th>component_subst_173</th>\n",
       "      <th>component_subst_174</th>\n",
       "      <th>component_subst_175</th>\n",
       "      <th>component_subst_176</th>\n",
       "      <th>component_subst_177</th>\n",
       "      <th>component_subst_178</th>\n",
       "      <th>component_subst_179</th>\n",
       "      <th>component_subst_180</th>\n",
       "      <th>component_subst_181</th>\n",
       "      <th>component_subst_182</th>\n",
       "      <th>component_subst_183</th>\n",
       "      <th>component_subst_184</th>\n",
       "      <th>component_subst_185</th>\n",
       "      <th>component_subst_186</th>\n",
       "      <th>component_subst_187</th>\n",
       "      <th>component_subst_188</th>\n",
       "      <th>component_subst_189</th>\n",
       "      <th>component_subst_190</th>\n",
       "      <th>component_subst_191</th>\n",
       "      <th>component_subst_192</th>\n",
       "      <th>component_subst_193</th>\n",
       "      <th>component_subst_194</th>\n",
       "      <th>component_subst_195</th>\n",
       "      <th>component_subst_196</th>\n",
       "      <th>component_subst_197</th>\n",
       "      <th>component_subst_198</th>\n",
       "      <th>component_subst_199</th>\n",
       "      <th>component_subst_200</th>\n",
       "      <th>component_subst_201</th>\n",
       "      <th>component_subst_202</th>\n",
       "      <th>component_subst_203</th>\n",
       "      <th>component_subst_204</th>\n",
       "      <th>component_subst_205</th>\n",
       "      <th>component_subst_206</th>\n",
       "      <th>component_subst_207</th>\n",
       "      <th>component_subst_208</th>\n",
       "      <th>component_subst_209</th>\n",
       "      <th>component_subst_210</th>\n",
       "      <th>component_subst_211</th>\n",
       "      <th>component_subst_212</th>\n",
       "      <th>component_subst_213</th>\n",
       "      <th>component_subst_214</th>\n",
       "      <th>component_subst_215</th>\n",
       "      <th>component_subst_216</th>\n",
       "      <th>component_subst_217</th>\n",
       "      <th>component_subst_218</th>\n",
       "      <th>component_subst_219</th>\n",
       "      <th>component_subst_220</th>\n",
       "      <th>component_subst_221</th>\n",
       "      <th>component_subst_222</th>\n",
       "      <th>component_subst_223</th>\n",
       "      <th>component_subst_224</th>\n",
       "      <th>component_subst_225</th>\n",
       "      <th>component_subst_226</th>\n",
       "      <th>component_subst_227</th>\n",
       "      <th>component_subst_228</th>\n",
       "      <th>component_subst_229</th>\n",
       "      <th>component_subst_230</th>\n",
       "      <th>component_subst_231</th>\n",
       "      <th>component_subst_232</th>\n",
       "      <th>component_subst_233</th>\n",
       "      <th>component_subst_234</th>\n",
       "      <th>component_subst_235</th>\n",
       "      <th>component_subst_236</th>\n",
       "      <th>component_subst_237</th>\n",
       "      <th>component_subst_238</th>\n",
       "      <th>component_subst_239</th>\n",
       "      <th>component_subst_240</th>\n",
       "      <th>component_subst_241</th>\n",
       "      <th>component_subst_242</th>\n",
       "      <th>component_subst_243</th>\n",
       "      <th>component_subst_244</th>\n",
       "      <th>component_subst_245</th>\n",
       "      <th>component_subst_246</th>\n",
       "      <th>component_subst_247</th>\n",
       "      <th>component_subst_248</th>\n",
       "      <th>component_subst_249</th>\n",
       "      <th>component_subst_250</th>\n",
       "      <th>component_subst_251</th>\n",
       "      <th>component_subst_252</th>\n",
       "      <th>component_subst_253</th>\n",
       "      <th>component_subst_254</th>\n",
       "      <th>component_subst_255</th>\n",
       "      <th>component_subst_256</th>\n",
       "      <th>component_subst_257</th>\n",
       "      <th>component_subst_258</th>\n",
       "      <th>component_subst_259</th>\n",
       "      <th>component_subst_260</th>\n",
       "      <th>component_subst_261</th>\n",
       "      <th>component_subst_262</th>\n",
       "      <th>component_subst_263</th>\n",
       "      <th>component_subst_264</th>\n",
       "      <th>component_subst_265</th>\n",
       "      <th>component_subst_266</th>\n",
       "      <th>component_subst_267</th>\n",
       "      <th>component_subst_268</th>\n",
       "      <th>component_subst_269</th>\n",
       "      <th>component_subst_270</th>\n",
       "      <th>component_subst_271</th>\n",
       "      <th>component_subst_272</th>\n",
       "      <th>component_subst_273</th>\n",
       "      <th>component_subst_274</th>\n",
       "      <th>component_subst_275</th>\n",
       "      <th>component_subst_276</th>\n",
       "      <th>component_subst_277</th>\n",
       "      <th>component_subst_278</th>\n",
       "      <th>component_subst_279</th>\n",
       "      <th>component_subst_280</th>\n",
       "      <th>component_subst_281</th>\n",
       "      <th>component_subst_282</th>\n",
       "      <th>component_subst_283</th>\n",
       "      <th>component_subst_284</th>\n",
       "      <th>component_subst_285</th>\n",
       "      <th>component_subst_286</th>\n",
       "      <th>component_subst_287</th>\n",
       "      <th>component_subst_288</th>\n",
       "      <th>component_subst_289</th>\n",
       "      <th>component_subst_290</th>\n",
       "      <th>component_subst_291</th>\n",
       "      <th>component_subst_292</th>\n",
       "      <th>component_subst_293</th>\n",
       "      <th>component_subst_294</th>\n",
       "      <th>component_subst_295</th>\n",
       "      <th>component_subst_296</th>\n",
       "      <th>component_subst_297</th>\n",
       "      <th>component_subst_298</th>\n",
       "      <th>component_subst_299</th>\n",
       "      <th>component_subst_300</th>\n",
       "      <th>component_subst_301</th>\n",
       "      <th>component_subst_302</th>\n",
       "      <th>component_subst_303</th>\n",
       "      <th>component_subst_304</th>\n",
       "      <th>component_subst_305</th>\n",
       "      <th>component_subst_306</th>\n",
       "      <th>component_subst_307</th>\n",
       "      <th>component_subst_308</th>\n",
       "      <th>component_subst_309</th>\n",
       "      <th>component_subst_310</th>\n",
       "      <th>component_subst_311</th>\n",
       "      <th>component_subst_312</th>\n",
       "      <th>component_subst_313</th>\n",
       "      <th>component_subst_314</th>\n",
       "      <th>component_subst_315</th>\n",
       "      <th>component_subst_316</th>\n",
       "      <th>component_subst_317</th>\n",
       "      <th>component_subst_318</th>\n",
       "      <th>component_subst_319</th>\n",
       "      <th>component_subst_320</th>\n",
       "      <th>component_subst_321</th>\n",
       "      <th>component_subst_322</th>\n",
       "      <th>component_subst_323</th>\n",
       "      <th>component_subst_324</th>\n",
       "      <th>component_subst_325</th>\n",
       "      <th>component_subst_326</th>\n",
       "      <th>component_subst_327</th>\n",
       "      <th>component_subst_328</th>\n",
       "      <th>component_subst_329</th>\n",
       "      <th>component_subst_330</th>\n",
       "      <th>component_subst_331</th>\n",
       "      <th>component_subst_332</th>\n",
       "      <th>component_subst_333</th>\n",
       "      <th>component_subst_334</th>\n",
       "      <th>component_subst_335</th>\n",
       "      <th>component_subst_336</th>\n",
       "      <th>component_subst_337</th>\n",
       "      <th>component_subst_338</th>\n",
       "      <th>component_subst_339</th>\n",
       "      <th>component_subst_340</th>\n",
       "      <th>component_subst_341</th>\n",
       "      <th>component_subst_342</th>\n",
       "      <th>component_subst_343</th>\n",
       "      <th>component_subst_344</th>\n",
       "      <th>component_subst_345</th>\n",
       "      <th>component_subst_346</th>\n",
       "      <th>component_subst_347</th>\n",
       "      <th>component_subst_348</th>\n",
       "      <th>component_subst_349</th>\n",
       "      <th>component_subst_350</th>\n",
       "      <th>component_subst_351</th>\n",
       "      <th>component_subst_352</th>\n",
       "      <th>component_subst_353</th>\n",
       "      <th>component_subst_354</th>\n",
       "      <th>component_subst_355</th>\n",
       "      <th>component_subst_356</th>\n",
       "      <th>component_subst_357</th>\n",
       "      <th>component_subst_358</th>\n",
       "      <th>component_subst_359</th>\n",
       "      <th>component_voies_0</th>\n",
       "      <th>component_voies_1</th>\n",
       "      <th>component_voies_2</th>\n",
       "      <th>component_voies_3</th>\n",
       "      <th>component_voies_4</th>\n",
       "      <th>component_voies_5</th>\n",
       "      <th>component_voies_6</th>\n",
       "      <th>component_voies_7</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
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       "      <td>0</td>\n",
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       "      <td>28</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>1</td>\n",
       "      <td>2014</td>\n",
       "      <td>2014</td>\n",
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       "      <td>4</td>\n",
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       "      <td>-0.081549</td>\n",
       "      <td>0.237023</td>\n",
       "      <td>0.328743</td>\n",
       "      <td>-0.021644</td>\n",
       "      <td>-0.163445</td>\n",
       "      <td>-0.112516</td>\n",
       "      <td>-0.114669</td>\n",
       "      <td>-0.033258</td>\n",
       "      <td>0.046865</td>\n",
       "      <td>0.014115</td>\n",
       "      <td>0.131679</td>\n",
       "      <td>0.029748</td>\n",
       "      <td>0.060557</td>\n",
       "      <td>0.007345</td>\n",
       "      <td>-0.041827</td>\n",
       "      <td>-0.107469</td>\n",
       "      <td>-0.016499</td>\n",
       "      <td>-0.023853</td>\n",
       "      <td>0.002440</td>\n",
       "      <td>-6.569859e-15</td>\n",
       "      <td>-2.634988e-15</td>\n",
       "      <td>1.227231e-14</td>\n",
       "      <td>-1.212728e-14</td>\n",
       "      <td>9.084729e-15</td>\n",
       "      <td>4.437384e-15</td>\n",
       "      <td>3.474382e-15</td>\n",
       "      <td>-8.598402e-15</td>\n",
       "      <td>1.533392e-14</td>\n",
       "      <td>0.030810</td>\n",
       "      <td>0.044445</td>\n",
       "      <td>0.001617</td>\n",
       "      <td>-0.059446</td>\n",
       "      <td>-0.018513</td>\n",
       "      <td>0.022889</td>\n",
       "      <td>0.086097</td>\n",
       "      <td>0.125459</td>\n",
       "      <td>0.029344</td>\n",
       "      <td>-0.057642</td>\n",
       "      <td>-0.068310</td>\n",
       "      <td>-0.090439</td>\n",
       "      <td>-0.068834</td>\n",
       "      <td>0.012635</td>\n",
       "      <td>-0.053277</td>\n",
       "      <td>-0.101767</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.009124</td>\n",
       "      <td>-0.020799</td>\n",
       "      <td>0.138018</td>\n",
       "      <td>0.093466</td>\n",
       "      <td>0.096488</td>\n",
       "      <td>-0.113201</td>\n",
       "      <td>-0.060496</td>\n",
       "      <td>-0.064398</td>\n",
       "      <td>-0.060270</td>\n",
       "      <td>-0.130843</td>\n",
       "      <td>-0.264085</td>\n",
       "      <td>-0.001347</td>\n",
       "      <td>-5.897118e-15</td>\n",
       "      <td>0.059874</td>\n",
       "      <td>0.075673</td>\n",
       "      <td>0.135059</td>\n",
       "      <td>0.039948</td>\n",
       "      <td>0.000390</td>\n",
       "      <td>-1.575082e-14</td>\n",
       "      <td>8.323897e-15</td>\n",
       "      <td>4.195570e-16</td>\n",
       "      <td>2.602149e-15</td>\n",
       "      <td>-4.424968e-15</td>\n",
       "      <td>-3.615162e-15</td>\n",
       "      <td>-1.066364e-14</td>\n",
       "      <td>2.962997e-15</td>\n",
       "      <td>-0.011973</td>\n",
       "      <td>-0.016074</td>\n",
       "      <td>-0.059278</td>\n",
       "      <td>-0.010731</td>\n",
       "      <td>-0.019460</td>\n",
       "      <td>-7.598296e-15</td>\n",
       "      <td>0.002996</td>\n",
       "      <td>-0.030572</td>\n",
       "      <td>0.032757</td>\n",
       "      <td>-0.117924</td>\n",
       "      <td>-0.032602</td>\n",
       "      <td>-0.020406</td>\n",
       "      <td>0.087306</td>\n",
       "      <td>-0.079005</td>\n",
       "      <td>-0.093862</td>\n",
       "      <td>0.096352</td>\n",
       "      <td>0.025074</td>\n",
       "      <td>-0.478575</td>\n",
       "      <td>-0.02909</td>\n",
       "      <td>0.040522</td>\n",
       "      <td>0.018684</td>\n",
       "      <td>-0.011735</td>\n",
       "      <td>-0.001166</td>\n",
       "      <td>0.004996</td>\n",
       "      <td>-0.008966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>1</td>\n",
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       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2013</td>\n",
       "      <td>2009</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
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       "      <td>1</td>\n",
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       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>3.056640</td>\n",
       "      <td>-0.389788</td>\n",
       "      <td>0.299353</td>\n",
       "      <td>-0.065632</td>\n",
       "      <td>0.125281</td>\n",
       "      <td>-0.166834</td>\n",
       "      <td>0.393605</td>\n",
       "      <td>-0.137107</td>\n",
       "      <td>0.029809</td>\n",
       "      <td>-0.000791</td>\n",
       "      <td>0.130046</td>\n",
       "      <td>-0.054895</td>\n",
       "      <td>0.047431</td>\n",
       "      <td>-0.025543</td>\n",
       "      <td>0.052815</td>\n",
       "      <td>-0.064173</td>\n",
       "      <td>0.049253</td>\n",
       "      <td>-0.112995</td>\n",
       "      <td>0.009894</td>\n",
       "      <td>0.123222</td>\n",
       "      <td>-0.056957</td>\n",
       "      <td>-0.035031</td>\n",
       "      <td>-0.038161</td>\n",
       "      <td>0.102616</td>\n",
       "      <td>-0.096063</td>\n",
       "      <td>0.050467</td>\n",
       "      <td>0.033720</td>\n",
       "      <td>-0.012712</td>\n",
       "      <td>0.004442</td>\n",
       "      <td>-0.018409</td>\n",
       "      <td>0.018366</td>\n",
       "      <td>-0.032777</td>\n",
       "      <td>-0.010825</td>\n",
       "      <td>0.103964</td>\n",
       "      <td>0.126468</td>\n",
       "      <td>0.015018</td>\n",
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       "      <td>-0.098143</td>\n",
       "      <td>0.047477</td>\n",
       "      <td>0.082236</td>\n",
       "      <td>-0.116657</td>\n",
       "      <td>0.056162</td>\n",
       "      <td>0.011800</td>\n",
       "      <td>0.008969</td>\n",
       "      <td>-0.029363</td>\n",
       "      <td>-0.003490</td>\n",
       "      <td>0.029864</td>\n",
       "      <td>0.051873</td>\n",
       "      <td>-0.017658</td>\n",
       "      <td>-0.028922</td>\n",
       "      <td>0.009271</td>\n",
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       "      <td>-0.025423</td>\n",
       "      <td>-0.010889</td>\n",
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       "      <td>0.006685</td>\n",
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       "      <td>0.003370</td>\n",
       "      <td>-6.797636e-16</td>\n",
       "      <td>-0.024893</td>\n",
       "      <td>-0.005819</td>\n",
       "      <td>-0.002468</td>\n",
       "      <td>0.087174</td>\n",
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       "      <td>8.066563e-16</td>\n",
       "      <td>-0.039465</td>\n",
       "      <td>-0.003370</td>\n",
       "      <td>0.000295</td>\n",
       "      <td>-8.872357e-16</td>\n",
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       "      <td>-0.000777</td>\n",
       "      <td>-0.006386</td>\n",
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       "      <td>-0.080584</td>\n",
       "      <td>-0.946912</td>\n",
       "      <td>0.997325</td>\n",
       "      <td>-0.190110</td>\n",
       "      <td>-1.199413</td>\n",
       "      <td>-0.033592</td>\n",
       "      <td>0.433609</td>\n",
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       "      <td>-0.072505</td>\n",
       "      <td>0.070648</td>\n",
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       "      <td>0.201798</td>\n",
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       "      <td>-9.081795e-15</td>\n",
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       "      <td>-0.060917</td>\n",
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       "      <td>-3.327934e-14</td>\n",
       "      <td>-0.646404</td>\n",
       "      <td>0.271288</td>\n",
       "      <td>0.525027</td>\n",
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       "      <td>2.172269e-13</td>\n",
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       "      <td>1.709038e-13</td>\n",
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       "      <td>0.871551</td>\n",
       "      <td>0.948179</td>\n",
       "      <td>0.503909</td>\n",
       "      <td>1.088353</td>\n",
       "      <td>-0.249249</td>\n",
       "      <td>0.438265</td>\n",
       "      <td>0.432557</td>\n",
       "      <td>0.264965</td>\n",
       "      <td>-1.499620</td>\n",
       "      <td>3.430568</td>\n",
       "      <td>0.444718</td>\n",
       "      <td>0.180344</td>\n",
       "      <td>-4.229705</td>\n",
       "      <td>-0.747633</td>\n",
       "      <td>-1.150081</td>\n",
       "      <td>0.050934</td>\n",
       "      <td>-2.312222</td>\n",
       "      <td>-3.685986</td>\n",
       "      <td>-5.252485</td>\n",
       "      <td>-2.814127</td>\n",
       "      <td>6.096809e-14</td>\n",
       "      <td>-1.938582</td>\n",
       "      <td>6.873812</td>\n",
       "      <td>1.172754</td>\n",
       "      <td>0.424735</td>\n",
       "      <td>0.389788</td>\n",
       "      <td>-0.324616</td>\n",
       "      <td>-0.314544</td>\n",
       "      <td>-0.119885</td>\n",
       "      <td>-5.357904e-14</td>\n",
       "      <td>1.187454e-14</td>\n",
       "      <td>1.324702</td>\n",
       "      <td>-0.796236</td>\n",
       "      <td>-0.098067</td>\n",
       "      <td>-0.292354</td>\n",
       "      <td>-0.101533</td>\n",
       "      <td>0.065864</td>\n",
       "      <td>-0.081738</td>\n",
       "      <td>0.487258</td>\n",
       "      <td>1.193379</td>\n",
       "      <td>2.680992</td>\n",
       "      <td>2.200068</td>\n",
       "      <td>-0.787203</td>\n",
       "      <td>0.505804</td>\n",
       "      <td>0.657302</td>\n",
       "      <td>-1.180382</td>\n",
       "      <td>-1.404384</td>\n",
       "      <td>-0.106098</td>\n",
       "      <td>0.081603</td>\n",
       "      <td>-2.128037e-14</td>\n",
       "      <td>-2.963011e-15</td>\n",
       "      <td>-0.083608</td>\n",
       "      <td>-0.159725</td>\n",
       "      <td>-0.449700</td>\n",
       "      <td>0.194368</td>\n",
       "      <td>0.014907</td>\n",
       "      <td>3.676749e-15</td>\n",
       "      <td>-0.210597</td>\n",
       "      <td>-0.321029</td>\n",
       "      <td>0.090754</td>\n",
       "      <td>0.374776</td>\n",
       "      <td>0.379934</td>\n",
       "      <td>0.116906</td>\n",
       "      <td>0.345574</td>\n",
       "      <td>-7.645575e-15</td>\n",
       "      <td>0.009495</td>\n",
       "      <td>-0.016827</td>\n",
       "      <td>0.112408</td>\n",
       "      <td>-0.173325</td>\n",
       "      <td>8.101666e-15</td>\n",
       "      <td>0.014587</td>\n",
       "      <td>-0.126423</td>\n",
       "      <td>0.204593</td>\n",
       "      <td>-0.287843</td>\n",
       "      <td>0.038271</td>\n",
       "      <td>0.029294</td>\n",
       "      <td>-0.182272</td>\n",
       "      <td>-0.019363</td>\n",
       "      <td>-0.052186</td>\n",
       "      <td>-0.001587</td>\n",
       "      <td>0.056778</td>\n",
       "      <td>0.201804</td>\n",
       "      <td>-0.249874</td>\n",
       "      <td>0.066708</td>\n",
       "      <td>-0.022978</td>\n",
       "      <td>-0.163430</td>\n",
       "      <td>0.103429</td>\n",
       "      <td>0.068530</td>\n",
       "      <td>0.028683</td>\n",
       "      <td>-0.022252</td>\n",
       "      <td>-0.251658</td>\n",
       "      <td>0.003932</td>\n",
       "      <td>-1.489279e-14</td>\n",
       "      <td>4.978509e-15</td>\n",
       "      <td>-1.516080e-14</td>\n",
       "      <td>-2.155840e-14</td>\n",
       "      <td>-1.570901e-15</td>\n",
       "      <td>0.095453</td>\n",
       "      <td>0.043634</td>\n",
       "      <td>0.001353</td>\n",
       "      <td>-0.039418</td>\n",
       "      <td>-0.114983</td>\n",
       "      <td>0.088410</td>\n",
       "      <td>-1.370563e-14</td>\n",
       "      <td>6.121319e-15</td>\n",
       "      <td>2.317471e-15</td>\n",
       "      <td>0.000437</td>\n",
       "      <td>-0.081448</td>\n",
       "      <td>-0.091449</td>\n",
       "      <td>0.001018</td>\n",
       "      <td>0.005780</td>\n",
       "      <td>-0.154814</td>\n",
       "      <td>-1.344649e-14</td>\n",
       "      <td>-6.853560e-14</td>\n",
       "      <td>-0.027798</td>\n",
       "      <td>0.178359</td>\n",
       "      <td>-0.145871</td>\n",
       "      <td>0.017845</td>\n",
       "      <td>0.055369</td>\n",
       "      <td>-0.451027</td>\n",
       "      <td>0.338340</td>\n",
       "      <td>0.750322</td>\n",
       "      <td>0.280591</td>\n",
       "      <td>-0.007356</td>\n",
       "      <td>-8.355410e-15</td>\n",
       "      <td>-2.192535e-17</td>\n",
       "      <td>-1.671059e-16</td>\n",
       "      <td>-6.581963e-15</td>\n",
       "      <td>0.000675</td>\n",
       "      <td>-0.002560</td>\n",
       "      <td>-0.010751</td>\n",
       "      <td>-0.015237</td>\n",
       "      <td>0.006833</td>\n",
       "      <td>0.008517</td>\n",
       "      <td>0.012907</td>\n",
       "      <td>-0.048751</td>\n",
       "      <td>0.034659</td>\n",
       "      <td>-0.009453</td>\n",
       "      <td>0.176678</td>\n",
       "      <td>1.378203e-14</td>\n",
       "      <td>-2.052990e-13</td>\n",
       "      <td>0.606152</td>\n",
       "      <td>-0.151427</td>\n",
       "      <td>-0.001820</td>\n",
       "      <td>-0.000530</td>\n",
       "      <td>0.029979</td>\n",
       "      <td>-0.012511</td>\n",
       "      <td>0.072608</td>\n",
       "      <td>-0.003188</td>\n",
       "      <td>0.012854</td>\n",
       "      <td>-0.002087</td>\n",
       "      <td>0.015318</td>\n",
       "      <td>-1.861763e-14</td>\n",
       "      <td>-4.395117e-15</td>\n",
       "      <td>-0.023045</td>\n",
       "      <td>0.014933</td>\n",
       "      <td>0.002359</td>\n",
       "      <td>0.008714</td>\n",
       "      <td>0.047148</td>\n",
       "      <td>0.270719</td>\n",
       "      <td>-0.001885</td>\n",
       "      <td>-0.086853</td>\n",
       "      <td>-6.022050e-15</td>\n",
       "      <td>-0.026313</td>\n",
       "      <td>0.005849</td>\n",
       "      <td>-0.048872</td>\n",
       "      <td>0.010318</td>\n",
       "      <td>-0.008764</td>\n",
       "      <td>4.333706e-15</td>\n",
       "      <td>-6.095101e-16</td>\n",
       "      <td>-3.598832e-15</td>\n",
       "      <td>4.726084e-15</td>\n",
       "      <td>0.035999</td>\n",
       "      <td>-0.056899</td>\n",
       "      <td>-0.035054</td>\n",
       "      <td>-0.009626</td>\n",
       "      <td>-0.098580</td>\n",
       "      <td>-0.007097</td>\n",
       "      <td>-0.020017</td>\n",
       "      <td>-0.041456</td>\n",
       "      <td>1.877032e-15</td>\n",
       "      <td>0.067592</td>\n",
       "      <td>0.047360</td>\n",
       "      <td>0.023526</td>\n",
       "      <td>0.067712</td>\n",
       "      <td>0.012724</td>\n",
       "      <td>0.029172</td>\n",
       "      <td>0.027898</td>\n",
       "      <td>0.049876</td>\n",
       "      <td>-0.055915</td>\n",
       "      <td>-0.052027</td>\n",
       "      <td>-0.043619</td>\n",
       "      <td>0.043461</td>\n",
       "      <td>0.170619</td>\n",
       "      <td>2.731206e-14</td>\n",
       "      <td>3.625619e-15</td>\n",
       "      <td>-9.192938e-15</td>\n",
       "      <td>-0.178615</td>\n",
       "      <td>-0.111316</td>\n",
       "      <td>-0.036179</td>\n",
       "      <td>0.018496</td>\n",
       "      <td>-0.012893</td>\n",
       "      <td>0.053691</td>\n",
       "      <td>0.011816</td>\n",
       "      <td>0.052073</td>\n",
       "      <td>-0.017028</td>\n",
       "      <td>0.040361</td>\n",
       "      <td>0.069013</td>\n",
       "      <td>-0.003008</td>\n",
       "      <td>-0.031730</td>\n",
       "      <td>-0.023293</td>\n",
       "      <td>-0.008472</td>\n",
       "      <td>0.020202</td>\n",
       "      <td>-0.032660</td>\n",
       "      <td>0.020853</td>\n",
       "      <td>0.092970</td>\n",
       "      <td>0.038709</td>\n",
       "      <td>-0.025273</td>\n",
       "      <td>-0.092210</td>\n",
       "      <td>-0.039493</td>\n",
       "      <td>0.018911</td>\n",
       "      <td>-0.040979</td>\n",
       "      <td>0.002041</td>\n",
       "      <td>-0.098237</td>\n",
       "      <td>1.572386e-14</td>\n",
       "      <td>-1.885621e-14</td>\n",
       "      <td>-1.565498e-14</td>\n",
       "      <td>1.647916e-14</td>\n",
       "      <td>5.747919e-15</td>\n",
       "      <td>-6.907323e-14</td>\n",
       "      <td>5.320851e-15</td>\n",
       "      <td>8.057251e-17</td>\n",
       "      <td>1.107990e-14</td>\n",
       "      <td>-0.004564</td>\n",
       "      <td>-0.005099</td>\n",
       "      <td>-0.040395</td>\n",
       "      <td>-0.003662</td>\n",
       "      <td>0.007208</td>\n",
       "      <td>-0.025195</td>\n",
       "      <td>0.009470</td>\n",
       "      <td>0.023810</td>\n",
       "      <td>-0.003767</td>\n",
       "      <td>-0.002030</td>\n",
       "      <td>-0.018872</td>\n",
       "      <td>0.022182</td>\n",
       "      <td>0.017340</td>\n",
       "      <td>0.045017</td>\n",
       "      <td>0.021117</td>\n",
       "      <td>-0.109813</td>\n",
       "      <td>-0.093082</td>\n",
       "      <td>0.016703</td>\n",
       "      <td>0.018943</td>\n",
       "      <td>0.077694</td>\n",
       "      <td>0.036528</td>\n",
       "      <td>-0.000768</td>\n",
       "      <td>-0.267180</td>\n",
       "      <td>0.106018</td>\n",
       "      <td>-0.065442</td>\n",
       "      <td>-0.038521</td>\n",
       "      <td>-0.033016</td>\n",
       "      <td>-0.000689</td>\n",
       "      <td>-0.049056</td>\n",
       "      <td>1.996433e-14</td>\n",
       "      <td>-0.002589</td>\n",
       "      <td>0.036452</td>\n",
       "      <td>-0.022335</td>\n",
       "      <td>0.007063</td>\n",
       "      <td>0.001727</td>\n",
       "      <td>8.247797e-15</td>\n",
       "      <td>2.402163e-14</td>\n",
       "      <td>-2.212881e-14</td>\n",
       "      <td>4.221284e-16</td>\n",
       "      <td>5.780929e-15</td>\n",
       "      <td>7.021950e-15</td>\n",
       "      <td>-3.862638e-15</td>\n",
       "      <td>-4.177262e-15</td>\n",
       "      <td>0.060147</td>\n",
       "      <td>-0.067768</td>\n",
       "      <td>-0.024733</td>\n",
       "      <td>0.002259</td>\n",
       "      <td>0.001683</td>\n",
       "      <td>3.752899e-16</td>\n",
       "      <td>0.011458</td>\n",
       "      <td>-0.090167</td>\n",
       "      <td>0.040158</td>\n",
       "      <td>-0.023614</td>\n",
       "      <td>0.001869</td>\n",
       "      <td>0.023471</td>\n",
       "      <td>0.119790</td>\n",
       "      <td>-0.015523</td>\n",
       "      <td>-0.013074</td>\n",
       "      <td>0.084562</td>\n",
       "      <td>-0.124263</td>\n",
       "      <td>-0.478575</td>\n",
       "      <td>-0.02909</td>\n",
       "      <td>0.040522</td>\n",
       "      <td>0.018684</td>\n",
       "      <td>-0.011735</td>\n",
       "      <td>-0.001166</td>\n",
       "      <td>0.004996</td>\n",
       "      <td>-0.008966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2000</td>\n",
       "      <td>1996</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>-0.059241</td>\n",
       "      <td>0.003709</td>\n",
       "      <td>-0.106443</td>\n",
       "      <td>0.004857</td>\n",
       "      <td>-0.032056</td>\n",
       "      <td>-0.021607</td>\n",
       "      <td>0.005249</td>\n",
       "      <td>-0.015340</td>\n",
       "      <td>0.020666</td>\n",
       "      <td>0.003224</td>\n",
       "      <td>3.487645e-14</td>\n",
       "      <td>0.000200</td>\n",
       "      <td>-0.001874</td>\n",
       "      <td>-0.000996</td>\n",
       "      <td>0.000719</td>\n",
       "      <td>0.005983</td>\n",
       "      <td>-1.784712e-14</td>\n",
       "      <td>-9.126777e-15</td>\n",
       "      <td>-3.941932e-14</td>\n",
       "      <td>-1.236217e-14</td>\n",
       "      <td>-2.651019e-15</td>\n",
       "      <td>-1.441036e-15</td>\n",
       "      <td>1.091766e-14</td>\n",
       "      <td>-4.477069e-15</td>\n",
       "      <td>-0.047071</td>\n",
       "      <td>-0.079668</td>\n",
       "      <td>0.008726</td>\n",
       "      <td>-0.032781</td>\n",
       "      <td>-0.008419</td>\n",
       "      <td>-2.440802e-15</td>\n",
       "      <td>0.086701</td>\n",
       "      <td>0.001882</td>\n",
       "      <td>-0.022658</td>\n",
       "      <td>0.015917</td>\n",
       "      <td>-0.015541</td>\n",
       "      <td>-0.078269</td>\n",
       "      <td>0.012669</td>\n",
       "      <td>0.023067</td>\n",
       "      <td>0.056409</td>\n",
       "      <td>0.013456</td>\n",
       "      <td>-0.054886</td>\n",
       "      <td>-0.478575</td>\n",
       "      <td>-0.02909</td>\n",
       "      <td>0.040522</td>\n",
       "      <td>0.018684</td>\n",
       "      <td>-0.011735</td>\n",
       "      <td>-0.001166</td>\n",
       "      <td>0.004996</td>\n",
       "      <td>-0.008966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2005</td>\n",
       "      <td>2004</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.983299</td>\n",
       "      <td>-2.889937</td>\n",
       "      <td>1.051227</td>\n",
       "      <td>-0.185751</td>\n",
       "      <td>0.336107</td>\n",
       "      <td>-0.429841</td>\n",
       "      <td>1.397298</td>\n",
       "      <td>0.822118</td>\n",
       "      <td>0.006247</td>\n",
       "      <td>0.126859</td>\n",
       "      <td>-0.016081</td>\n",
       "      <td>0.084206</td>\n",
       "      <td>0.007964</td>\n",
       "      <td>-0.033045</td>\n",
       "      <td>-0.000939</td>\n",
       "      <td>-0.022924</td>\n",
       "      <td>0.026279</td>\n",
       "      <td>-0.056635</td>\n",
       "      <td>0.000668</td>\n",
       "      <td>-0.035597</td>\n",
       "      <td>-0.124627</td>\n",
       "      <td>0.042356</td>\n",
       "      <td>0.201085</td>\n",
       "      <td>-0.011769</td>\n",
       "      <td>-0.016387</td>\n",
       "      <td>0.015676</td>\n",
       "      <td>0.014445</td>\n",
       "      <td>0.002722</td>\n",
       "      <td>-0.002665</td>\n",
       "      <td>0.045181</td>\n",
       "      <td>-0.011417</td>\n",
       "      <td>-0.038699</td>\n",
       "      <td>0.006078</td>\n",
       "      <td>-0.009568</td>\n",
       "      <td>0.013819</td>\n",
       "      <td>-0.012625</td>\n",
       "      <td>0.006029</td>\n",
       "      <td>-0.014083</td>\n",
       "      <td>0.006609</td>\n",
       "      <td>0.000113</td>\n",
       "      <td>0.001834</td>\n",
       "      <td>-0.022716</td>\n",
       "      <td>-0.008224</td>\n",
       "      <td>-0.003068</td>\n",
       "      <td>0.013938</td>\n",
       "      <td>-0.001898</td>\n",
       "      <td>-0.008496</td>\n",
       "      <td>-0.015436</td>\n",
       "      <td>0.020120</td>\n",
       "      <td>-0.012845</td>\n",
       "      <td>0.006791</td>\n",
       "      <td>0.023360</td>\n",
       "      <td>-0.003458</td>\n",
       "      <td>-0.033560</td>\n",
       "      <td>0.004645</td>\n",
       "      <td>-0.000111</td>\n",
       "      <td>-0.004683</td>\n",
       "      <td>0.001162</td>\n",
       "      <td>0.010961</td>\n",
       "      <td>-0.018705</td>\n",
       "      <td>0.001920</td>\n",
       "      <td>0.001818</td>\n",
       "      <td>1.618515e-15</td>\n",
       "      <td>-0.011822</td>\n",
       "      <td>-0.003444</td>\n",
       "      <td>0.009215</td>\n",
       "      <td>-0.025721</td>\n",
       "      <td>0.048716</td>\n",
       "      <td>2.603376e-15</td>\n",
       "      <td>-0.020957</td>\n",
       "      <td>-0.038922</td>\n",
       "      <td>-0.010137</td>\n",
       "      <td>1.185685e-15</td>\n",
       "      <td>-0.013163</td>\n",
       "      <td>0.085871</td>\n",
       "      <td>-0.038520</td>\n",
       "      <td>-0.172565</td>\n",
       "      <td>-0.176011</td>\n",
       "      <td>0.568576</td>\n",
       "      <td>0.290519</td>\n",
       "      <td>-0.129991</td>\n",
       "      <td>0.004922</td>\n",
       "      <td>0.079578</td>\n",
       "      <td>-0.143183</td>\n",
       "      <td>0.798359</td>\n",
       "      <td>0.264248</td>\n",
       "      <td>-0.088516</td>\n",
       "      <td>0.012832</td>\n",
       "      <td>0.018498</td>\n",
       "      <td>-0.128196</td>\n",
       "      <td>0.009144</td>\n",
       "      <td>1.100876</td>\n",
       "      <td>0.376888</td>\n",
       "      <td>-0.235129</td>\n",
       "      <td>0.767666</td>\n",
       "      <td>-1.561418e-14</td>\n",
       "      <td>-7.664397e-15</td>\n",
       "      <td>-0.045157</td>\n",
       "      <td>-0.073791</td>\n",
       "      <td>0.415444</td>\n",
       "      <td>-0.689447</td>\n",
       "      <td>-0.392109</td>\n",
       "      <td>-0.887187</td>\n",
       "      <td>-3.119496</td>\n",
       "      <td>-0.798028</td>\n",
       "      <td>-0.545211</td>\n",
       "      <td>-0.038486</td>\n",
       "      <td>-0.087291</td>\n",
       "      <td>2.149927e-14</td>\n",
       "      <td>0.333209</td>\n",
       "      <td>-0.675584</td>\n",
       "      <td>0.452261</td>\n",
       "      <td>2.240789</td>\n",
       "      <td>3.306318e-13</td>\n",
       "      <td>1.036263</td>\n",
       "      <td>0.790363</td>\n",
       "      <td>-1.011150</td>\n",
       "      <td>-0.063715</td>\n",
       "      <td>0.092465</td>\n",
       "      <td>1.080976</td>\n",
       "      <td>0.427377</td>\n",
       "      <td>-0.136047</td>\n",
       "      <td>-0.343833</td>\n",
       "      <td>-0.310887</td>\n",
       "      <td>0.019484</td>\n",
       "      <td>0.056834</td>\n",
       "      <td>0.418686</td>\n",
       "      <td>2.199307</td>\n",
       "      <td>-0.185255</td>\n",
       "      <td>-0.020752</td>\n",
       "      <td>-0.053234</td>\n",
       "      <td>-0.363833</td>\n",
       "      <td>0.088576</td>\n",
       "      <td>0.049509</td>\n",
       "      <td>0.362065</td>\n",
       "      <td>0.130003</td>\n",
       "      <td>0.517916</td>\n",
       "      <td>-0.717844</td>\n",
       "      <td>-1.431805</td>\n",
       "      <td>3.433536e-14</td>\n",
       "      <td>5.868920e-14</td>\n",
       "      <td>1.321065e-14</td>\n",
       "      <td>0.288762</td>\n",
       "      <td>-0.191432</td>\n",
       "      <td>0.606853</td>\n",
       "      <td>0.458395</td>\n",
       "      <td>1.074034</td>\n",
       "      <td>-0.145191</td>\n",
       "      <td>0.771291</td>\n",
       "      <td>-0.435241</td>\n",
       "      <td>0.188059</td>\n",
       "      <td>0.387893</td>\n",
       "      <td>0.285456</td>\n",
       "      <td>-0.230149</td>\n",
       "      <td>1.002544</td>\n",
       "      <td>0.270452</td>\n",
       "      <td>-0.012226</td>\n",
       "      <td>-0.318490</td>\n",
       "      <td>0.124744</td>\n",
       "      <td>-0.190850</td>\n",
       "      <td>-0.006381</td>\n",
       "      <td>-0.330457</td>\n",
       "      <td>0.324097</td>\n",
       "      <td>0.585783</td>\n",
       "      <td>0.294493</td>\n",
       "      <td>2.552588e-15</td>\n",
       "      <td>0.430592</td>\n",
       "      <td>-0.086883</td>\n",
       "      <td>-0.029395</td>\n",
       "      <td>-0.211332</td>\n",
       "      <td>0.183217</td>\n",
       "      <td>-0.103258</td>\n",
       "      <td>0.104697</td>\n",
       "      <td>0.355196</td>\n",
       "      <td>4.223916e-14</td>\n",
       "      <td>1.085300e-14</td>\n",
       "      <td>-0.461332</td>\n",
       "      <td>0.257768</td>\n",
       "      <td>0.044827</td>\n",
       "      <td>0.327826</td>\n",
       "      <td>-0.018042</td>\n",
       "      <td>0.000936</td>\n",
       "      <td>0.141870</td>\n",
       "      <td>-0.127608</td>\n",
       "      <td>-0.572310</td>\n",
       "      <td>-2.124003</td>\n",
       "      <td>-1.798731</td>\n",
       "      <td>0.863368</td>\n",
       "      <td>-0.433036</td>\n",
       "      <td>-0.454414</td>\n",
       "      <td>0.134219</td>\n",
       "      <td>0.484697</td>\n",
       "      <td>-0.330239</td>\n",
       "      <td>-0.205311</td>\n",
       "      <td>3.952221e-14</td>\n",
       "      <td>1.662758e-15</td>\n",
       "      <td>0.115426</td>\n",
       "      <td>0.178977</td>\n",
       "      <td>0.282022</td>\n",
       "      <td>-0.377906</td>\n",
       "      <td>-0.139341</td>\n",
       "      <td>-2.841887e-14</td>\n",
       "      <td>0.286236</td>\n",
       "      <td>1.031173</td>\n",
       "      <td>-0.355017</td>\n",
       "      <td>-1.559287</td>\n",
       "      <td>-1.735458</td>\n",
       "      <td>-0.559633</td>\n",
       "      <td>-0.348640</td>\n",
       "      <td>1.467989e-14</td>\n",
       "      <td>-0.435477</td>\n",
       "      <td>1.001849</td>\n",
       "      <td>-0.700334</td>\n",
       "      <td>3.690378</td>\n",
       "      <td>-2.267763e-13</td>\n",
       "      <td>0.136049</td>\n",
       "      <td>0.165872</td>\n",
       "      <td>-0.064425</td>\n",
       "      <td>1.831543</td>\n",
       "      <td>-0.117373</td>\n",
       "      <td>0.495037</td>\n",
       "      <td>1.640065</td>\n",
       "      <td>-2.377937</td>\n",
       "      <td>-0.270971</td>\n",
       "      <td>-0.587502</td>\n",
       "      <td>-0.387335</td>\n",
       "      <td>-5.674834</td>\n",
       "      <td>8.823387</td>\n",
       "      <td>3.026627</td>\n",
       "      <td>-2.537266</td>\n",
       "      <td>0.597662</td>\n",
       "      <td>1.671185</td>\n",
       "      <td>2.389781</td>\n",
       "      <td>2.869602</td>\n",
       "      <td>-0.474410</td>\n",
       "      <td>-2.822011</td>\n",
       "      <td>0.038330</td>\n",
       "      <td>7.244248e-13</td>\n",
       "      <td>3.374715e-13</td>\n",
       "      <td>-1.803557e-13</td>\n",
       "      <td>-6.030535e-13</td>\n",
       "      <td>6.600532e-13</td>\n",
       "      <td>4.386403</td>\n",
       "      <td>0.689792</td>\n",
       "      <td>-0.414514</td>\n",
       "      <td>1.637238</td>\n",
       "      <td>1.144355</td>\n",
       "      <td>0.786608</td>\n",
       "      <td>3.959943e-13</td>\n",
       "      <td>-1.837303e-14</td>\n",
       "      <td>2.207228e-14</td>\n",
       "      <td>1.389544</td>\n",
       "      <td>0.255784</td>\n",
       "      <td>-2.445786</td>\n",
       "      <td>3.399803</td>\n",
       "      <td>1.184038</td>\n",
       "      <td>0.171568</td>\n",
       "      <td>1.000272e-14</td>\n",
       "      <td>-1.758615e-14</td>\n",
       "      <td>-0.095322</td>\n",
       "      <td>0.356624</td>\n",
       "      <td>-0.121146</td>\n",
       "      <td>0.221639</td>\n",
       "      <td>0.018941</td>\n",
       "      <td>-0.415984</td>\n",
       "      <td>0.101230</td>\n",
       "      <td>-0.479809</td>\n",
       "      <td>0.298489</td>\n",
       "      <td>0.033595</td>\n",
       "      <td>3.665574e-14</td>\n",
       "      <td>-1.219347e-14</td>\n",
       "      <td>1.141374e-14</td>\n",
       "      <td>1.554639e-14</td>\n",
       "      <td>-0.003180</td>\n",
       "      <td>0.892421</td>\n",
       "      <td>1.272914</td>\n",
       "      <td>0.229874</td>\n",
       "      <td>-1.981026</td>\n",
       "      <td>-0.087682</td>\n",
       "      <td>3.024837</td>\n",
       "      <td>0.606138</td>\n",
       "      <td>-0.159065</td>\n",
       "      <td>-0.057675</td>\n",
       "      <td>-0.610056</td>\n",
       "      <td>-1.887204e-14</td>\n",
       "      <td>6.063013e-13</td>\n",
       "      <td>0.126234</td>\n",
       "      <td>-0.120250</td>\n",
       "      <td>0.009999</td>\n",
       "      <td>-0.050681</td>\n",
       "      <td>1.312824</td>\n",
       "      <td>-1.406035</td>\n",
       "      <td>-1.611800</td>\n",
       "      <td>0.086966</td>\n",
       "      <td>0.216413</td>\n",
       "      <td>-0.157856</td>\n",
       "      <td>0.007418</td>\n",
       "      <td>3.583562e-13</td>\n",
       "      <td>4.957455e-15</td>\n",
       "      <td>0.563190</td>\n",
       "      <td>0.543589</td>\n",
       "      <td>0.021739</td>\n",
       "      <td>-0.615095</td>\n",
       "      <td>-0.541824</td>\n",
       "      <td>0.046580</td>\n",
       "      <td>1.077919</td>\n",
       "      <td>0.357059</td>\n",
       "      <td>-3.325365e-14</td>\n",
       "      <td>-0.197122</td>\n",
       "      <td>-1.490745</td>\n",
       "      <td>-0.582277</td>\n",
       "      <td>-8.700384</td>\n",
       "      <td>7.527099</td>\n",
       "      <td>3.067925e-13</td>\n",
       "      <td>1.775651e-13</td>\n",
       "      <td>1.515135e-13</td>\n",
       "      <td>6.232484e-13</td>\n",
       "      <td>-2.238930</td>\n",
       "      <td>0.540260</td>\n",
       "      <td>0.322569</td>\n",
       "      <td>-0.027777</td>\n",
       "      <td>-1.649279</td>\n",
       "      <td>0.056138</td>\n",
       "      <td>2.107223</td>\n",
       "      <td>-0.308339</td>\n",
       "      <td>4.781885e-14</td>\n",
       "      <td>-0.189041</td>\n",
       "      <td>-1.077546</td>\n",
       "      <td>0.188517</td>\n",
       "      <td>-0.284992</td>\n",
       "      <td>0.527670</td>\n",
       "      <td>-0.259520</td>\n",
       "      <td>0.515862</td>\n",
       "      <td>-0.394030</td>\n",
       "      <td>-0.108347</td>\n",
       "      <td>0.126951</td>\n",
       "      <td>0.114692</td>\n",
       "      <td>-0.059025</td>\n",
       "      <td>-0.199459</td>\n",
       "      <td>-1.574501e-15</td>\n",
       "      <td>1.158532e-14</td>\n",
       "      <td>-6.917306e-15</td>\n",
       "      <td>-0.062771</td>\n",
       "      <td>-0.264185</td>\n",
       "      <td>-0.316824</td>\n",
       "      <td>0.241020</td>\n",
       "      <td>0.152551</td>\n",
       "      <td>-0.003651</td>\n",
       "      <td>-0.011783</td>\n",
       "      <td>-0.086171</td>\n",
       "      <td>-0.066575</td>\n",
       "      <td>0.036959</td>\n",
       "      <td>0.034833</td>\n",
       "      <td>0.255664</td>\n",
       "      <td>-1.001814</td>\n",
       "      <td>0.458017</td>\n",
       "      <td>0.053051</td>\n",
       "      <td>0.127795</td>\n",
       "      <td>-0.256081</td>\n",
       "      <td>-0.092397</td>\n",
       "      <td>0.291911</td>\n",
       "      <td>0.293737</td>\n",
       "      <td>-0.204764</td>\n",
       "      <td>-0.279093</td>\n",
       "      <td>-0.197274</td>\n",
       "      <td>0.073310</td>\n",
       "      <td>0.040332</td>\n",
       "      <td>0.075965</td>\n",
       "      <td>-0.377223</td>\n",
       "      <td>1.527932e-14</td>\n",
       "      <td>-8.983287e-14</td>\n",
       "      <td>-3.625972e-14</td>\n",
       "      <td>9.099695e-15</td>\n",
       "      <td>2.484794e-14</td>\n",
       "      <td>-1.444811e-13</td>\n",
       "      <td>4.546730e-14</td>\n",
       "      <td>4.327289e-15</td>\n",
       "      <td>-3.396765e-14</td>\n",
       "      <td>-0.133752</td>\n",
       "      <td>0.015751</td>\n",
       "      <td>0.154271</td>\n",
       "      <td>0.036649</td>\n",
       "      <td>0.052402</td>\n",
       "      <td>-0.310400</td>\n",
       "      <td>-0.013993</td>\n",
       "      <td>-0.518074</td>\n",
       "      <td>-0.128528</td>\n",
       "      <td>0.843354</td>\n",
       "      <td>-0.364421</td>\n",
       "      <td>-0.554269</td>\n",
       "      <td>0.201645</td>\n",
       "      <td>0.038283</td>\n",
       "      <td>0.239420</td>\n",
       "      <td>-0.652803</td>\n",
       "      <td>-0.107141</td>\n",
       "      <td>-0.156769</td>\n",
       "      <td>-0.103050</td>\n",
       "      <td>0.251819</td>\n",
       "      <td>0.008058</td>\n",
       "      <td>0.025629</td>\n",
       "      <td>-0.161134</td>\n",
       "      <td>-0.117728</td>\n",
       "      <td>-0.336768</td>\n",
       "      <td>-0.086811</td>\n",
       "      <td>-0.188794</td>\n",
       "      <td>-0.039070</td>\n",
       "      <td>-0.396980</td>\n",
       "      <td>6.729623e-13</td>\n",
       "      <td>0.053812</td>\n",
       "      <td>0.321369</td>\n",
       "      <td>-0.337077</td>\n",
       "      <td>-0.134445</td>\n",
       "      <td>-0.003000</td>\n",
       "      <td>-1.051933e-12</td>\n",
       "      <td>-9.733442e-13</td>\n",
       "      <td>-8.239625e-13</td>\n",
       "      <td>-6.265155e-13</td>\n",
       "      <td>9.961792e-14</td>\n",
       "      <td>-5.239064e-14</td>\n",
       "      <td>2.838013e-13</td>\n",
       "      <td>-1.753894e-13</td>\n",
       "      <td>0.281279</td>\n",
       "      <td>-0.230917</td>\n",
       "      <td>-0.046427</td>\n",
       "      <td>-0.017705</td>\n",
       "      <td>-0.054497</td>\n",
       "      <td>-3.972924e-14</td>\n",
       "      <td>-0.010847</td>\n",
       "      <td>0.507897</td>\n",
       "      <td>-0.225280</td>\n",
       "      <td>-0.249869</td>\n",
       "      <td>0.069068</td>\n",
       "      <td>0.388470</td>\n",
       "      <td>0.739868</td>\n",
       "      <td>-0.023540</td>\n",
       "      <td>0.100472</td>\n",
       "      <td>0.640054</td>\n",
       "      <td>-0.979748</td>\n",
       "      <td>-0.478575</td>\n",
       "      <td>-0.02909</td>\n",
       "      <td>0.040522</td>\n",
       "      <td>0.018684</td>\n",
       "      <td>-0.011735</td>\n",
       "      <td>-0.001166</td>\n",
       "      <td>0.004996</td>\n",
       "      <td>-0.008966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2015</td>\n",
       "      <td>2010</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
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       "      <td>0.004996</td>\n",
       "      <td>-0.008966</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   libelle_plaquette  libelle_ampoule  libelle_flacon  libelle_tube  \\\n",
       "0                  1                0               0             0   \n",
       "1                  1                0               0             0   \n",
       "2                  1                0               0             0   \n",
       "3                  0                0               0             0   \n",
       "4                  1                0               0             0   \n",
       "\n",
       "   libelle_stylo  libelle_seringue  libelle_pilulier  libelle_sachet  \\\n",
       "0              0                 0                 0               0   \n",
       "1              0                 0                 0               0   \n",
       "2              0                 0                 0               0   \n",
       "3              0                 0                 0               1   \n",
       "4              0                 0                 0               0   \n",
       "\n",
       "   libelle_comprime  libelle_gelule  libelle_film  libelle_poche  \\\n",
       "0                 1               0             0              0   \n",
       "1                 1               0             0              0   \n",
       "2                 0               1             0              0   \n",
       "3                 0               0             0              0   \n",
       "4                 1               0             0              0   \n",
       "\n",
       "   libelle_capsule  nb_plaquette  nb_ampoule  nb_flacon  nb_tube  nb_stylo  \\\n",
       "0                0             3           0          0        0         0   \n",
       "1                0             0           0          0        0         0   \n",
       "2                0             0           0          0        0         0   \n",
       "3                0             0           0          0        0         0   \n",
       "4                0             0           0          0        0         0   \n",
       "\n",
       "   nb_seringue  nb_pilulier  nb_sachet  nb_comprime  nb_gelule  nb_film  \\\n",
       "0            0            0          0           28          0        0   \n",
       "1            0            0          0           28          0        0   \n",
       "2            0            0          0            0         30        0   \n",
       "3            0            0         30            0          0        0   \n",
       "4            0            0          0           30          0        0   \n",
       "\n",
       "   nb_poche  nb_capsule  nb_ml  substances_nb  titulaires_nb  \\\n",
       "0         0           0    0.0              1              1   \n",
       "1         0           0    0.0              2              1   \n",
       "2         0           0    0.0              1              1   \n",
       "3         0           0    0.0              2              1   \n",
       "4         0           0    0.0              1              1   \n",
       "\n",
       "   date declar annee  date amm annee  date diff  tx rembours  \\\n",
       "0               2014            2014          0            4   \n",
       "1               2013            2009          4            4   \n",
       "2               2000            1996          4            4   \n",
       "3               2005            2004          1            4   \n",
       "4               2015            2010          5            1   \n",
       "\n",
       "   agrement col=non  agrement col=oui  \\\n",
       "0                 0                 1   \n",
       "1                 0                 1   \n",
       "2                 0                 1   \n",
       "3                 0                 1   \n",
       "4                 1                 0   \n",
       "\n",
       "   etat commerc=arret de commercialisation (le medicament n'a plus d'autorisation)  \\\n",
       "0                                                  0                                 \n",
       "1                                                  0                                 \n",
       "2                                                  0                                 \n",
       "3                                                  0                                 \n",
       "4                                                  0                                 \n",
       "\n",
       "   etat commerc=declaration d'arret de commercialisation  \\\n",
       "0                                                  0       \n",
       "1                                                  0       \n",
       "2                                                  0       \n",
       "3                                                  0       \n",
       "4                                                  1       \n",
       "\n",
       "   etat commerc=declaration de commercialisation  \\\n",
       "0                                              1   \n",
       "1                                              1   \n",
       "2                                              1   \n",
       "3                                              1   \n",
       "4                                              0   \n",
       "\n",
       "   etat commerc=declaration de suspension de commercialisation  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=capsule  forme pharma=capsule molle  \\\n",
       "0                     0                           0   \n",
       "1                     0                           0   \n",
       "2                     0                           0   \n",
       "3                     0                           0   \n",
       "4                     0                           0   \n",
       "\n",
       "   forme pharma=capsule molle gastro-resistant(e)  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   forme pharma=capsule molle ou  forme pharma=collyre  \\\n",
       "0                              0                     0   \n",
       "1                              0                     0   \n",
       "2                              0                     0   \n",
       "3                              0                     0   \n",
       "4                              0                     0   \n",
       "\n",
       "   forme pharma=collyre a liberation prolongee  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=collyre en solution  forme pharma=collyre en suspension  \\\n",
       "0                                 0                                   0   \n",
       "1                                 0                                   0   \n",
       "2                                 0                                   0   \n",
       "3                                 0                                   0   \n",
       "4                                 0                                   0   \n",
       "\n",
       "   forme pharma=comprime  forme pharma=comprime a croquer  \\\n",
       "0                      0                                0   \n",
       "1                      0                                1   \n",
       "2                      0                                0   \n",
       "3                      0                                0   \n",
       "4                      0                                0   \n",
       "\n",
       "   forme pharma=comprime a croquer ou a sucer  \\\n",
       "0                                           0   \n",
       "1                                           0   \n",
       "2                                           0   \n",
       "3                                           0   \n",
       "4                                           0   \n",
       "\n",
       "   forme pharma=comprime a croquer ou dispersible  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   forme pharma=comprime a liberation modifiee  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=comprime a liberation prolongee  \\\n",
       "0                                             0   \n",
       "1                                             0   \n",
       "2                                             0   \n",
       "3                                             0   \n",
       "4                                             0   \n",
       "\n",
       "   forme pharma=comprime a sucer  \\\n",
       "0                              0   \n",
       "1                              0   \n",
       "2                              0   \n",
       "3                              0   \n",
       "4                              0   \n",
       "\n",
       "   forme pharma=comprime a sucer a croquer ou dispersible  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=comprime a sucer ou a croquer  \\\n",
       "0                                           0   \n",
       "1                                           0   \n",
       "2                                           0   \n",
       "3                                           0   \n",
       "4                                           0   \n",
       "\n",
       "   forme pharma=comprime a sucer secable  forme pharma=comprime dispersible  \\\n",
       "0                                      0                                  0   \n",
       "1                                      0                                  0   \n",
       "2                                      0                                  0   \n",
       "3                                      0                                  0   \n",
       "4                                      0                                  0   \n",
       "\n",
       "   forme pharma=comprime dispersible et orodispersible  \\\n",
       "0                                                  0     \n",
       "1                                                  0     \n",
       "2                                                  0     \n",
       "3                                                  0     \n",
       "4                                                  0     \n",
       "\n",
       "   forme pharma=comprime dispersible orodispersible  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=comprime dispersible ou a croquer  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   forme pharma=comprime dispersible secable  forme pharma=comprime drageifie  \\\n",
       "0                                          0                                0   \n",
       "1                                          0                                0   \n",
       "2                                          0                                0   \n",
       "3                                          0                                0   \n",
       "4                                          0                                0   \n",
       "\n",
       "   forme pharma=comprime effervescent(e)  \\\n",
       "0                                      0   \n",
       "1                                      0   \n",
       "2                                      0   \n",
       "3                                      0   \n",
       "4                                      0   \n",
       "\n",
       "   forme pharma=comprime effervescent(e) secable  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=comprime enrobe  forme pharma=comprime enrobe a croquer  \\\n",
       "0                             0                                       0   \n",
       "1                             0                                       0   \n",
       "2                             0                                       0   \n",
       "3                             0                                       0   \n",
       "4                             0                                       0   \n",
       "\n",
       "   forme pharma=comprime enrobe a liberation prolongee  \\\n",
       "0                                                  0     \n",
       "1                                                  0     \n",
       "2                                                  0     \n",
       "3                                                  0     \n",
       "4                                                  0     \n",
       "\n",
       "   forme pharma=comprime enrobe et  comprime enrobe  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=comprime enrobe et  comprime enrobe enrobe  \\\n",
       "0                                                  0         \n",
       "1                                                  0         \n",
       "2                                                  0         \n",
       "3                                                  0         \n",
       "4                                                  0         \n",
       "\n",
       "   forme pharma=comprime enrobe et  comprime enrobe et  comprime enrobe  \\\n",
       "0                                                  0                      \n",
       "1                                                  0                      \n",
       "2                                                  0                      \n",
       "3                                                  0                      \n",
       "4                                                  0                      \n",
       "\n",
       "   forme pharma=comprime enrobe gastro-resistant(e)  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=comprime enrobe secable  forme pharma=comprime et  comprime  \\\n",
       "0                                     0                                   0   \n",
       "1                                     0                                   0   \n",
       "2                                     0                                   0   \n",
       "3                                     0                                   0   \n",
       "4                                     0                                   0   \n",
       "\n",
       "   forme pharma=comprime et  comprime et  comprime  \\\n",
       "0                                                0   \n",
       "1                                                0   \n",
       "2                                                0   \n",
       "3                                                0   \n",
       "4                                                0   \n",
       "\n",
       "   forme pharma=comprime et  comprime pellicule  \\\n",
       "0                                             0   \n",
       "1                                             0   \n",
       "2                                             0   \n",
       "3                                             0   \n",
       "4                                             0   \n",
       "\n",
       "   forme pharma=comprime gastro-resistant(e)  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=comprime muco-adhesif  forme pharma=comprime orodispersible  \\\n",
       "0                                   0                                     0   \n",
       "1                                   0                                     0   \n",
       "2                                   0                                     0   \n",
       "3                                   0                                     0   \n",
       "4                                   0                                     0   \n",
       "\n",
       "   forme pharma=comprime orodispersible dispersible  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=comprime orodispersible secable  \\\n",
       "0                                             0   \n",
       "1                                             0   \n",
       "2                                             0   \n",
       "3                                             0   \n",
       "4                                             0   \n",
       "\n",
       "   forme pharma=comprime osmotique a liberation prolongee  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=comprime osmotique pellicule a liberation prolongee  \\\n",
       "0                                                  0                  \n",
       "1                                                  0                  \n",
       "2                                                  0                  \n",
       "3                                                  0                  \n",
       "4                                                  0                  \n",
       "\n",
       "   forme pharma=comprime ou a sucer a croquer  \\\n",
       "0                                           0   \n",
       "1                                           0   \n",
       "2                                           0   \n",
       "3                                           0   \n",
       "4                                           0   \n",
       "\n",
       "   forme pharma=comprime pellicule  \\\n",
       "0                                1   \n",
       "1                                0   \n",
       "2                                0   \n",
       "3                                0   \n",
       "4                                1   \n",
       "\n",
       "   forme pharma=comprime pellicule a liberation modifiee  \\\n",
       "0                                                  0       \n",
       "1                                                  0       \n",
       "2                                                  0       \n",
       "3                                                  0       \n",
       "4                                                  0       \n",
       "\n",
       "   forme pharma=comprime pellicule a liberation prolongee  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=comprime pellicule dispersible  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=comprime pellicule et  comprime pellicule  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=comprime pellicule et  comprime pellicule et  comprime pellicule  \\\n",
       "0                                                  0                               \n",
       "1                                                  0                               \n",
       "2                                                  0                               \n",
       "3                                                  0                               \n",
       "4                                                  0                               \n",
       "\n",
       "   forme pharma=comprime pellicule et  comprime pellicule pellicule  \\\n",
       "0                                                  0                  \n",
       "1                                                  0                  \n",
       "2                                                  0                  \n",
       "3                                                  0                  \n",
       "4                                                  0                  \n",
       "\n",
       "   forme pharma=comprime pellicule et  granules effervescent(e)  \\\n",
       "0                                                  0              \n",
       "1                                                  0              \n",
       "2                                                  0              \n",
       "3                                                  0              \n",
       "4                                                  0              \n",
       "\n",
       "   forme pharma=comprime pellicule gastro-resistant(e)  \\\n",
       "0                                                  0     \n",
       "1                                                  0     \n",
       "2                                                  0     \n",
       "3                                                  0     \n",
       "4                                                  0     \n",
       "\n",
       "   forme pharma=comprime pellicule quadrisecable  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=comprime pellicule secable  \\\n",
       "0                                        0   \n",
       "1                                        0   \n",
       "2                                        0   \n",
       "3                                        0   \n",
       "4                                        0   \n",
       "\n",
       "   forme pharma=comprime pellicule secable a liberation prolongee  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=comprime pour suspension buvable  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=comprime quadrisecable  forme pharma=comprime secable  \\\n",
       "0                                    0                              0   \n",
       "1                                    0                              0   \n",
       "2                                    0                              0   \n",
       "3                                    0                              0   \n",
       "4                                    0                              0   \n",
       "\n",
       "   forme pharma=comprime secable a liberation modifiee  \\\n",
       "0                                                  0     \n",
       "1                                                  0     \n",
       "2                                                  0     \n",
       "3                                                  0     \n",
       "4                                                  0     \n",
       "\n",
       "   forme pharma=comprime secable a liberation prolongee  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=comprime secable pellicule  \\\n",
       "0                                        0   \n",
       "1                                        0   \n",
       "2                                        0   \n",
       "3                                        0   \n",
       "4                                        0   \n",
       "\n",
       "   forme pharma=comprime secable pour suspension buvable  forme pharma=creme  \\\n",
       "0                                                  0                       0   \n",
       "1                                                  0                       0   \n",
       "2                                                  0                       0   \n",
       "3                                                  0                       0   \n",
       "4                                                  0                       0   \n",
       "\n",
       "   forme pharma=creme epaisse pour application  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=creme pour application  forme pharma=dispositif  \\\n",
       "0                                    0                        0   \n",
       "1                                    0                        0   \n",
       "2                                    0                        0   \n",
       "3                                    0                        0   \n",
       "4                                    0                        0   \n",
       "\n",
       "   forme pharma=dispositif et  dispositif  \\\n",
       "0                                       0   \n",
       "1                                       0   \n",
       "2                                       0   \n",
       "3                                       0   \n",
       "4                                       0   \n",
       "\n",
       "   forme pharma=emplatre medicamenteux(se)  \\\n",
       "0                                        0   \n",
       "1                                        0   \n",
       "2                                        0   \n",
       "3                                        0   \n",
       "4                                        0   \n",
       "\n",
       "   forme pharma=emulsion et  solution et  solution pour perfusion  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=emulsion fluide pour application  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=emulsion injectable pour perfusion  \\\n",
       "0                                                0   \n",
       "1                                                0   \n",
       "2                                                0   \n",
       "3                                                0   \n",
       "4                                                0   \n",
       "\n",
       "   forme pharma=emulsion pour application  \\\n",
       "0                                       0   \n",
       "1                                       0   \n",
       "2                                       0   \n",
       "3                                       0   \n",
       "4                                       0   \n",
       "\n",
       "   forme pharma=emulsion pour perfusion  forme pharma=film orodispersible  \\\n",
       "0                                     0                                 0   \n",
       "1                                     0                                 0   \n",
       "2                                     0                                 0   \n",
       "3                                     0                                 0   \n",
       "4                                     0                                 0   \n",
       "\n",
       "   forme pharma=gel  forme pharma=gel pour application  forme pharma=gelee  \\\n",
       "0                 0                                  0                   0   \n",
       "1                 0                                  0                   0   \n",
       "2                 0                                  0                   0   \n",
       "3                 0                                  0                   0   \n",
       "4                 0                                  0                   0   \n",
       "\n",
       "   forme pharma=gelule  forme pharma=gelule a liberation modifiee  \\\n",
       "0                    0                                          0   \n",
       "1                    0                                          0   \n",
       "2                    0                                          0   \n",
       "3                    0                                          0   \n",
       "4                    0                                          0   \n",
       "\n",
       "   forme pharma=gelule a liberation prolongee  forme pharma=gelule et  gelule  \\\n",
       "0                                           0                               0   \n",
       "1                                           0                               0   \n",
       "2                                           1                               0   \n",
       "3                                           0                               0   \n",
       "4                                           0                               0   \n",
       "\n",
       "   forme pharma=gelule et  gelule gastro-resistant(e)  \\\n",
       "0                                                  0    \n",
       "1                                                  0    \n",
       "2                                                  0    \n",
       "3                                                  0    \n",
       "4                                                  0    \n",
       "\n",
       "   forme pharma=gelule gastro-resistant(e)  forme pharma=granules  \\\n",
       "0                                        0                      0   \n",
       "1                                        0                      0   \n",
       "2                                        0                      0   \n",
       "3                                        0                      0   \n",
       "4                                        0                      0   \n",
       "\n",
       "   forme pharma=granules a liberation prolongee  \\\n",
       "0                                             0   \n",
       "1                                             0   \n",
       "2                                             0   \n",
       "3                                             1   \n",
       "4                                             0   \n",
       "\n",
       "   forme pharma=granules buvable pour suspension  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=granules effervescent(e) pour solution buvable  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=granules enrobe  forme pharma=granules enrobe en vrac  \\\n",
       "0                             0                                     0   \n",
       "1                             0                                     0   \n",
       "2                             0                                     0   \n",
       "3                             0                                     0   \n",
       "4                             0                                     0   \n",
       "\n",
       "   forme pharma=granules et  solvant pour suspension buvable  \\\n",
       "0                                                  0           \n",
       "1                                                  0           \n",
       "2                                                  0           \n",
       "3                                                  0           \n",
       "4                                                  0           \n",
       "\n",
       "   forme pharma=granules gastro-resistant(e)  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=granules gastro-resistant(e) pour suspension buvable  \\\n",
       "0                                                  0                   \n",
       "1                                                  0                   \n",
       "2                                                  0                   \n",
       "3                                                  0                   \n",
       "4                                                  0                   \n",
       "\n",
       "   forme pharma=granules pour sirop  \\\n",
       "0                                 0   \n",
       "1                                 0   \n",
       "2                                 0   \n",
       "3                                 0   \n",
       "4                                 0   \n",
       "\n",
       "   forme pharma=granules pour solution buvable  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=granules pour suspension buvable  forme pharma=implant  \\\n",
       "0                                              0                     0   \n",
       "1                                              0                     0   \n",
       "2                                              0                     0   \n",
       "3                                              0                     0   \n",
       "4                                              0                     0   \n",
       "\n",
       "   forme pharma=implant injectable  forme pharma=lotion  \\\n",
       "0                                0                    0   \n",
       "1                                0                    0   \n",
       "2                                0                    0   \n",
       "3                                0                    0   \n",
       "4                                0                    0   \n",
       "\n",
       "   forme pharma=lotion pour application  forme pharma=lyophilisat  \\\n",
       "0                                     0                         0   \n",
       "1                                     0                         0   \n",
       "2                                     0                         0   \n",
       "3                                     0                         0   \n",
       "4                                     0                         0   \n",
       "\n",
       "   forme pharma=lyophilisat et  solution pour usage parenteral  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=lyophilisat et  solvant pour collyre  \\\n",
       "0                                                  0   \n",
       "1                                                  0   \n",
       "2                                                  0   \n",
       "3                                                  0   \n",
       "4                                                  0   \n",
       "\n",
       "   forme pharma=lyophilisat pour usage parenteral  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   forme pharma=lyophilisat pour usage parenteral pour perfusion  \\\n",
       "0                                                  0               \n",
       "1                                                  0               \n",
       "2                                                  0               \n",
       "3                                                  0               \n",
       "4                                                  0               \n",
       "\n",
       "   forme pharma=microgranule a liberation prolongee en gelule  \\\n",
       "0                                                  0            \n",
       "1                                                  0            \n",
       "2                                                  0            \n",
       "3                                                  0            \n",
       "4                                                  0            \n",
       "\n",
       "   forme pharma=microgranule en comprime  \\\n",
       "0                                      0   \n",
       "1                                      0   \n",
       "2                                      0   \n",
       "3                                      0   \n",
       "4                                      0   \n",
       "\n",
       "   forme pharma=microgranule gastro-resistant(e)  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=microgranule gastro-resistant(e) en gelule  \\\n",
       "0                                                  0         \n",
       "1                                                  0         \n",
       "2                                                  0         \n",
       "3                                                  0         \n",
       "4                                                  0         \n",
       "\n",
       "   forme pharma=microsphere et  solution pour usage parenteral a liberation prolongee  \\\n",
       "0                                                  0                                    \n",
       "1                                                  0                                    \n",
       "2                                                  0                                    \n",
       "3                                                  0                                    \n",
       "4                                                  0                                    \n",
       "\n",
       "   forme pharma=mousse  forme pharma=mousse pour application  \\\n",
       "0                    0                                     0   \n",
       "1                    0                                     0   \n",
       "2                    0                                     0   \n",
       "3                    0                                     0   \n",
       "4                    0                                     0   \n",
       "\n",
       "   forme pharma=ovule  forme pharma=ovule a liberation prolongee  \\\n",
       "0                   0                                          0   \n",
       "1                   0                                          0   \n",
       "2                   0                                          0   \n",
       "3                   0                                          0   \n",
       "4                   0                                          0   \n",
       "\n",
       "   forme pharma=pansement adhesif(ve)  forme pharma=pate  \\\n",
       "0                                   0                  0   \n",
       "1                                   0                  0   \n",
       "2                                   0                  0   \n",
       "3                                   0                  0   \n",
       "4                                   0                  0   \n",
       "\n",
       "   forme pharma=pate pour application  forme pharma=pilule enrobe  \\\n",
       "0                                   0                           0   \n",
       "1                                   0                           0   \n",
       "2                                   0                           0   \n",
       "3                                   0                           0   \n",
       "4                                   0                           0   \n",
       "\n",
       "   forme pharma=pommade  forme pharma=pommade pour application  \\\n",
       "0                     0                                      0   \n",
       "1                     0                                      0   \n",
       "2                     0                                      0   \n",
       "3                     0                                      0   \n",
       "4                     0                                      0   \n",
       "\n",
       "   forme pharma=poudre  \\\n",
       "0                    0   \n",
       "1                    0   \n",
       "2                    0   \n",
       "3                    0   \n",
       "4                    0   \n",
       "\n",
       "   forme pharma=poudre buvable effervescent(e) pour suspension  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=poudre buvable pour solution  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=poudre buvable pour suspension  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=poudre effervescent(e) pour solution buvable  \\\n",
       "0                                                  0           \n",
       "1                                                  0           \n",
       "2                                                  0           \n",
       "3                                                  0           \n",
       "4                                                  0           \n",
       "\n",
       "   forme pharma=poudre effervescent(e) pour suspension buvable  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=poudre et  poudre pour solution buvable  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=poudre et  solution pour preparation injectable  \\\n",
       "0                                                  0              \n",
       "1                                                  0              \n",
       "2                                                  0              \n",
       "3                                                  0              \n",
       "4                                                  0              \n",
       "\n",
       "   forme pharma=poudre et  solution pour solution injectable  \\\n",
       "0                                                  0           \n",
       "1                                                  0           \n",
       "2                                                  0           \n",
       "3                                                  0           \n",
       "4                                                  0           \n",
       "\n",
       "   forme pharma=poudre et  solution pour usage parenteral  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=poudre et  solvant  \\\n",
       "0                                0   \n",
       "1                                0   \n",
       "2                                0   \n",
       "3                                0   \n",
       "4                                0   \n",
       "\n",
       "   forme pharma=poudre et  solvant pour collyre en solution  \\\n",
       "0                                                  0          \n",
       "1                                                  0          \n",
       "2                                                  0          \n",
       "3                                                  0          \n",
       "4                                                  0          \n",
       "\n",
       "   forme pharma=poudre et  solvant pour dispersion injectable  \\\n",
       "0                                                  0            \n",
       "1                                                  0            \n",
       "2                                                  0            \n",
       "3                                                  0            \n",
       "4                                                  0            \n",
       "\n",
       "   forme pharma=poudre et  solvant pour inhalation par nebuliseur  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=poudre et  solvant pour preparation injectable  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=poudre et  solvant pour solution injectable  \\\n",
       "0                                                  0          \n",
       "1                                                  0          \n",
       "2                                                  0          \n",
       "3                                                  0          \n",
       "4                                                  0          \n",
       "\n",
       "   forme pharma=poudre et  solvant pour solution injectable ou pour perfusion  \\\n",
       "0                                                  0                            \n",
       "1                                                  0                            \n",
       "2                                                  0                            \n",
       "3                                                  0                            \n",
       "4                                                  0                            \n",
       "\n",
       "   forme pharma=poudre et  solvant pour solution pour administration intravesicale  \\\n",
       "0                                                  0                                 \n",
       "1                                                  0                                 \n",
       "2                                                  0                                 \n",
       "3                                                  0                                 \n",
       "4                                                  0                                 \n",
       "\n",
       "   forme pharma=poudre et  solvant pour solution pour perfusion  \\\n",
       "0                                                  0              \n",
       "1                                                  0              \n",
       "2                                                  0              \n",
       "3                                                  0              \n",
       "4                                                  0              \n",
       "\n",
       "   forme pharma=poudre et  solvant pour suspension injectable  \\\n",
       "0                                                  0            \n",
       "1                                                  0            \n",
       "2                                                  0            \n",
       "3                                                  0            \n",
       "4                                                  0            \n",
       "\n",
       "   forme pharma=poudre et  solvant pour suspension injectable a liberation prolongee  \\\n",
       "0                                                  0                                   \n",
       "1                                                  0                                   \n",
       "2                                                  0                                   \n",
       "3                                                  0                                   \n",
       "4                                                  0                                   \n",
       "\n",
       "   forme pharma=poudre et  solvant pour suspension pour administration intravesicale  \\\n",
       "0                                                  0                                   \n",
       "1                                                  0                                   \n",
       "2                                                  0                                   \n",
       "3                                                  0                                   \n",
       "4                                                  0                                   \n",
       "\n",
       "   forme pharma=poudre et  solvant pour suspension pour instillation  \\\n",
       "0                                                  0                   \n",
       "1                                                  0                   \n",
       "2                                                  0                   \n",
       "3                                                  0                   \n",
       "4                                                  0                   \n",
       "\n",
       "   forme pharma=poudre et  suspension pour suspension injectable  \\\n",
       "0                                                  0               \n",
       "1                                                  0               \n",
       "2                                                  0               \n",
       "3                                                  0               \n",
       "4                                                  0               \n",
       "\n",
       "   forme pharma=poudre pour aerosol et pour usage parenteral  \\\n",
       "0                                                  0           \n",
       "1                                                  0           \n",
       "2                                                  0           \n",
       "3                                                  0           \n",
       "4                                                  0           \n",
       "\n",
       "   forme pharma=poudre pour application  forme pharma=poudre pour inhalation  \\\n",
       "0                                     0                                    0   \n",
       "1                                     0                                    0   \n",
       "2                                     0                                    0   \n",
       "3                                     0                                    0   \n",
       "4                                     0                                    0   \n",
       "\n",
       "   forme pharma=poudre pour inhalation en gelule  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=poudre pour inhalation et  poudre pour inhalation  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=poudre pour solution  \\\n",
       "0                                  0   \n",
       "1                                  0   \n",
       "2                                  0   \n",
       "3                                  0   \n",
       "4                                  0   \n",
       "\n",
       "   forme pharma=poudre pour solution buvable  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=poudre pour solution buvable enteral(e)  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=poudre pour solution buvable et gastro-enterale  \\\n",
       "0                                                  0              \n",
       "1                                                  0              \n",
       "2                                                  0              \n",
       "3                                                  0              \n",
       "4                                                  0              \n",
       "\n",
       "   forme pharma=poudre pour solution injectable  \\\n",
       "0                                             0   \n",
       "1                                             0   \n",
       "2                                             0   \n",
       "3                                             0   \n",
       "4                                             0   \n",
       "\n",
       "   forme pharma=poudre pour solution injectable ou pour perfusion  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=poudre pour solution injectable pour perfusion  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=poudre pour solution pour irrigation vesical(e)  \\\n",
       "0                                                  0              \n",
       "1                                                  0              \n",
       "2                                                  0              \n",
       "3                                                  0              \n",
       "4                                                  0              \n",
       "\n",
       "   forme pharma=poudre pour solution pour perfusion  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=poudre pour suspension  \\\n",
       "0                                    0   \n",
       "1                                    0   \n",
       "2                                    0   \n",
       "3                                    0   \n",
       "4                                    0   \n",
       "\n",
       "   forme pharma=poudre pour suspension buvable  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=poudre pour suspension et  \\\n",
       "0                                       0   \n",
       "1                                       0   \n",
       "2                                       0   \n",
       "3                                       0   \n",
       "4                                       0   \n",
       "\n",
       "   forme pharma=poudre pour suspension ou  \\\n",
       "0                                       0   \n",
       "1                                       0   \n",
       "2                                       0   \n",
       "3                                       0   \n",
       "4                                       0   \n",
       "\n",
       "   forme pharma=poudre pour suspension pour administration intravesicale  \\\n",
       "0                                                  0                       \n",
       "1                                                  0                       \n",
       "2                                                  0                       \n",
       "3                                                  0                       \n",
       "4                                                  0                       \n",
       "\n",
       "   forme pharma=poudre pour usage parenteral  forme pharma=shampooing  \\\n",
       "0                                          0                        0   \n",
       "1                                          0                        0   \n",
       "2                                          0                        0   \n",
       "3                                          0                        0   \n",
       "4                                          0                        0   \n",
       "\n",
       "   forme pharma=sirop  forme pharma=solution  \\\n",
       "0                   0                      0   \n",
       "1                   0                      0   \n",
       "2                   0                      0   \n",
       "3                   0                      0   \n",
       "4                   0                      0   \n",
       "\n",
       "   forme pharma=solution a diluer et  solvant pour solution injectable  \\\n",
       "0                                                  0                     \n",
       "1                                                  0                     \n",
       "2                                                  0                     \n",
       "3                                                  0                     \n",
       "4                                                  0                     \n",
       "\n",
       "   forme pharma=solution a diluer injectable ou pour perfusion  \\\n",
       "0                                                  0             \n",
       "1                                                  0             \n",
       "2                                                  0             \n",
       "3                                                  0             \n",
       "4                                                  0             \n",
       "\n",
       "   forme pharma=solution a diluer pour perfusion  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=solution a diluer pour solution buvable  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=solution buvable  forme pharma=solution buvable en gouttes  \\\n",
       "0                              0                                         0   \n",
       "1                              0                                         0   \n",
       "2                              0                                         0   \n",
       "3                              0                                         0   \n",
       "4                              0                                         0   \n",
       "\n",
       "   forme pharma=solution buvable et injectable  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=solution buvable gouttes  forme pharma=solution buvable ou  \\\n",
       "0                                      0                                 0   \n",
       "1                                      0                                 0   \n",
       "2                                      0                                 0   \n",
       "3                                      0                                 0   \n",
       "4                                      0                                 0   \n",
       "\n",
       "   forme pharma=solution et  emulsion et  solution pour perfusion  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=solution et  solution et  emulsion pour perfusion  \\\n",
       "0                                                  0                \n",
       "1                                                  0                \n",
       "2                                                  0                \n",
       "3                                                  0                \n",
       "4                                                  0                \n",
       "\n",
       "   forme pharma=solution et  solution injectable  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=solution et  solution pour perfusion  \\\n",
       "0                                                  0   \n",
       "1                                                  0   \n",
       "2                                                  0   \n",
       "3                                                  0   \n",
       "4                                                  0   \n",
       "\n",
       "   forme pharma=solution filmogene pour application  \\\n",
       "0                                                 0   \n",
       "1                                                 0   \n",
       "2                                                 0   \n",
       "3                                                 0   \n",
       "4                                                 0   \n",
       "\n",
       "   forme pharma=solution gouttes  forme pharma=solution injectable  \\\n",
       "0                              0                                 0   \n",
       "1                              0                                 0   \n",
       "2                              0                                 0   \n",
       "3                              0                                 0   \n",
       "4                              0                                 0   \n",
       "\n",
       "   forme pharma=solution injectable et buvable  \\\n",
       "0                                            0   \n",
       "1                                            0   \n",
       "2                                            0   \n",
       "3                                            0   \n",
       "4                                            0   \n",
       "\n",
       "   forme pharma=solution injectable hypertonique  \\\n",
       "0                                              0   \n",
       "1                                              0   \n",
       "2                                              0   \n",
       "3                                              0   \n",
       "4                                              0   \n",
       "\n",
       "   forme pharma=solution injectable ou pour perfusion  \\\n",
       "0                                                  0    \n",
       "1                                                  0    \n",
       "2                                                  0    \n",
       "3                                                  0    \n",
       "4                                                  0    \n",
       "\n",
       "   forme pharma=solution moussant(e)  forme pharma=solution ou  \\\n",
       "0                                  0                         0   \n",
       "1                                  0                         0   \n",
       "2                                  0                         0   \n",
       "3                                  0                         0   \n",
       "4                                  0                         0   \n",
       "\n",
       "   forme pharma=solution pour administration endonasale  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=solution pour application  \\\n",
       "0                                       0   \n",
       "1                                       0   \n",
       "2                                       0   \n",
       "3                                       0   \n",
       "4                                       0   \n",
       "\n",
       "   forme pharma=solution pour application a diluer  \\\n",
       "0                                                0   \n",
       "1                                                0   \n",
       "2                                                0   \n",
       "3                                                0   \n",
       "4                                                0   \n",
       "\n",
       "   forme pharma=solution pour application moussant(e)  \\\n",
       "0                                                  0    \n",
       "1                                                  0    \n",
       "2                                                  0    \n",
       "3                                                  0    \n",
       "4                                                  0    \n",
       "\n",
       "   forme pharma=solution pour application sterile  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   forme pharma=solution pour bain de bouche  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=solution pour inhalation  \\\n",
       "0                                      0   \n",
       "1                                      0   \n",
       "2                                      0   \n",
       "3                                      0   \n",
       "4                                      0   \n",
       "\n",
       "   forme pharma=solution pour inhalation par nebuliseur  \\\n",
       "0                                                  0      \n",
       "1                                                  0      \n",
       "2                                                  0      \n",
       "3                                                  0      \n",
       "4                                                  0      \n",
       "\n",
       "   forme pharma=solution pour instillation  forme pharma=solution pour lavage  \\\n",
       "0                                        0                                  0   \n",
       "1                                        0                                  0   \n",
       "2                                        0                                  0   \n",
       "3                                        0                                  0   \n",
       "4                                        0                                  0   \n",
       "\n",
       "   forme pharma=solution pour perfusion  \\\n",
       "0                                     0   \n",
       "1                                     0   \n",
       "2                                     0   \n",
       "3                                     0   \n",
       "4                                     0   \n",
       "\n",
       "   forme pharma=solution pour pulverisation  \\\n",
       "0                                         0   \n",
       "1                                         0   \n",
       "2                                         0   \n",
       "3                                         0   \n",
       "4                                         0   \n",
       "\n",
       "   forme pharma=solution pour pulverisation endo-buccal(e)  \\\n",
       "0                                                  0         \n",
       "1                                                  0         \n",
       "2                                                  0         \n",
       "3                                                  0         \n",
       "4                                                  0         \n",
       "\n",
       "   forme pharma=suppositoire  forme pharma=suppositoire effervescent(e)  \\\n",
       "0                          0                                          0   \n",
       "1                          0                                          0   \n",
       "2                          0                                          0   \n",
       "3                          0                                          0   \n",
       "4                          0                                          0   \n",
       "\n",
       "   forme pharma=suppositoire secable  forme pharma=suspension  \\\n",
       "0                                  0                        0   \n",
       "1                                  0                        0   \n",
       "2                                  0                        0   \n",
       "3                                  0                        0   \n",
       "4                                  0                        0   \n",
       "\n",
       "   forme pharma=suspension buvable  forme pharma=suspension buvable a diluer  \\\n",
       "0                                0                                         0   \n",
       "1                                0                                         0   \n",
       "2                                0                                         0   \n",
       "3                                0                                         0   \n",
       "4                                0                                         0   \n",
       "\n",
       "   forme pharma=suspension injectable  \\\n",
       "0                                   0   \n",
       "1                                   0   \n",
       "2                                   0   \n",
       "3                                   0   \n",
       "4                                   0   \n",
       "\n",
       "   forme pharma=suspension injectable a liberation prolongee  \\\n",
       "0                                                  0           \n",
       "1                                                  0           \n",
       "2                                                  0           \n",
       "3                                                  0           \n",
       "4                                                  0           \n",
       "\n",
       "   forme pharma=suspension par nebuliseur pour inhalation  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=suspension pour inhalation  \\\n",
       "0                                        0   \n",
       "1                                        0   \n",
       "2                                        0   \n",
       "3                                        0   \n",
       "4                                        0   \n",
       "\n",
       "   forme pharma=suspension pour inhalation par nebuliseur  \\\n",
       "0                                                  0        \n",
       "1                                                  0        \n",
       "2                                                  0        \n",
       "3                                                  0        \n",
       "4                                                  0        \n",
       "\n",
       "   forme pharma=suspension pour instillation  \\\n",
       "0                                          0   \n",
       "1                                          0   \n",
       "2                                          0   \n",
       "3                                          0   \n",
       "4                                          0   \n",
       "\n",
       "   forme pharma=suspension pour pulverisation  \\\n",
       "0                                           0   \n",
       "1                                           0   \n",
       "2                                           0   \n",
       "3                                           0   \n",
       "4                                           0   \n",
       "\n",
       "   forme pharma=systeme de diffusion  \\\n",
       "0                                  0   \n",
       "1                                  0   \n",
       "2                                  0   \n",
       "3                                  0   \n",
       "4                                  0   \n",
       "\n",
       "   forme pharma=vernis a ongles medicamenteux(se)  \\\n",
       "0                                               0   \n",
       "1                                               0   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   statut admin=autorisation abrogee  statut admin=autorisation active  \\\n",
       "0                                  0                                 1   \n",
       "1                                  0                                 1   \n",
       "2                                  0                                 1   \n",
       "3                                  0                                 1   \n",
       "4                                  0                                 1   \n",
       "\n",
       "   statut admin=autorisation archivee  statut admin=autorisation retiree  \\\n",
       "0                                   0                                  0   \n",
       "1                                   0                                  0   \n",
       "2                                   0                                  0   \n",
       "3                                   0                                  0   \n",
       "4                                   0                                  0   \n",
       "\n",
       "   statut admin=autorisation suspendue  statut=presentation abrogee  \\\n",
       "0                                    0                            0   \n",
       "1                                    0                            0   \n",
       "2                                    0                            0   \n",
       "3                                    0                            0   \n",
       "4                                    0                            0   \n",
       "\n",
       "   statut=presentation active  type proc=autorisation d'importation parallele  \\\n",
       "0                           1                                               0   \n",
       "1                           1                                               0   \n",
       "2                           1                                               0   \n",
       "3                           1                                               0   \n",
       "4                           1                                               0   \n",
       "\n",
       "   type proc=procedure centralisee  \\\n",
       "0                                0   \n",
       "1                                0   \n",
       "2                                0   \n",
       "3                                0   \n",
       "4                                0   \n",
       "\n",
       "   type proc=procedure de reconnaissance mutuelle  \\\n",
       "0                                               0   \n",
       "1                                               1   \n",
       "2                                               0   \n",
       "3                                               0   \n",
       "4                                               0   \n",
       "\n",
       "   type proc=procedure decentralisee  type proc=procedure nationale  \\\n",
       "0                                  1                              0   \n",
       "1                                  0                              0   \n",
       "2                                  0                              1   \n",
       "3                                  0                              1   \n",
       "4                                  0                              1   \n",
       "\n",
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       "3          -0.983299          -2.889937           1.051227          -0.185751   \n",
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       "\n",
       "   component_titul_4  component_titul_5  component_titul_6  component_titul_7  \\\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
       "   component_titul_20  component_titul_21  component_titul_22  \\\n",
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       "\n",
       "   component_titul_23  component_titul_24  component_titul_25  \\\n",
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       "\n",
       "   component_titul_26  component_titul_27  component_titul_28  \\\n",
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       "\n",
       "   component_titul_29  component_titul_30  component_titul_31  \\\n",
       "0            0.921093           -0.245711           -0.571562   \n",
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       "3            0.045181           -0.011417           -0.038699   \n",
       "4           -0.018409            0.018366           -0.032777   \n",
       "\n",
       "   component_titul_32  component_titul_33  component_titul_34  \\\n",
       "0            0.065722           -0.035721           -0.077698   \n",
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       "3            0.006078           -0.009568            0.013819   \n",
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       "\n",
       "   component_titul_35  component_titul_36  component_titul_37  \\\n",
       "0           -0.350416           -0.064084            0.940612   \n",
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       "3           -0.012625            0.006029           -0.014083   \n",
       "4            0.015018            0.022030           -0.098143   \n",
       "\n",
       "   component_titul_38  component_titul_39  component_titul_40  \\\n",
       "0            4.682603           -0.066061            1.451061   \n",
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       "3            0.006609            0.000113            0.001834   \n",
       "4            0.047477            0.082236           -0.116657   \n",
       "\n",
       "   component_titul_41  component_titul_42  component_titul_43  \\\n",
       "0            0.797612            0.020426           -0.059619   \n",
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       "3           -0.022716           -0.008224           -0.003068   \n",
       "4            0.056162            0.011800            0.008969   \n",
       "\n",
       "   component_titul_44  component_titul_45  component_titul_46  \\\n",
       "0            0.035108           -0.027999           -0.087905   \n",
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       "3            0.013938           -0.001898           -0.008496   \n",
       "4           -0.029363           -0.003490            0.029864   \n",
       "\n",
       "   component_titul_47  component_titul_48  component_titul_49  \\\n",
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       "3           -0.015436            0.020120           -0.012845   \n",
       "4            0.051873           -0.017658           -0.028922   \n",
       "\n",
       "   component_titul_50  component_titul_51  component_titul_52  \\\n",
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       "3            0.006791            0.023360           -0.003458   \n",
       "4            0.009271            0.015198           -0.005454   \n",
       "\n",
       "   component_titul_53  component_titul_54  component_titul_55  \\\n",
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       "3           -0.033560            0.004645           -0.000111   \n",
       "4           -0.025423           -0.010889            0.000139   \n",
       "\n",
       "   component_titul_56  component_titul_57  component_titul_58  \\\n",
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       "3           -0.004683            0.001162            0.010961   \n",
       "4            0.001300           -0.006290            0.006685   \n",
       "\n",
       "   component_titul_59  component_titul_60  component_titul_61  \\\n",
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       "3           -0.018705            0.001920            0.001818   \n",
       "4           -0.003667            0.008082            0.003370   \n",
       "\n",
       "   component_titul_62  component_titul_63  component_titul_64  \\\n",
       "0       -5.351445e-14            0.336220           -0.110063   \n",
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       "2        1.178926e-16            0.001372            0.004466   \n",
       "3        1.618515e-15           -0.011822           -0.003444   \n",
       "4       -6.807317e-15           -0.024893           -0.005819   \n",
       "\n",
       "   component_titul_65  component_titul_66  component_titul_67  \\\n",
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       "3            0.009215           -0.025721            0.048716   \n",
       "4           -0.002468            0.087174            0.059674   \n",
       "\n",
       "   component_titul_68  component_titul_69  component_titul_70  \\\n",
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       "2       -4.016703e-16           -0.004870           -0.014329   \n",
       "3        2.603376e-15           -0.020957           -0.038922   \n",
       "4       -1.268915e-14           -0.039465           -0.003370   \n",
       "\n",
       "   component_titul_71  component_titul_72  component_titul_73  \\\n",
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       "3           -0.010137        1.185685e-15           -0.013163   \n",
       "4            0.000295        1.670957e-14            0.006080   \n",
       "\n",
       "   component_titul_74  component_titul_75  component_titul_76  \\\n",
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       "3            0.085871           -0.038520           -0.172565   \n",
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       "\n",
       "   component_titul_77  component_subst_0  component_subst_1  \\\n",
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       "2            0.001955           2.051252           2.295480   \n",
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       "4            0.005317          -0.078416          -0.377036   \n",
       "\n",
       "   component_subst_2  component_subst_3  component_subst_4  component_subst_5  \\\n",
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       "4           0.048874          -0.006115           0.228586          -0.030289   \n",
       "\n",
       "   component_subst_6  component_subst_7  component_subst_8  component_subst_9  \\\n",
       "0           0.030344          -0.208226           0.095857          -0.043268   \n",
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       "3           0.798359           0.264248          -0.088516           0.012832   \n",
       "4           0.031229          -0.214559           0.098815          -0.044696   \n",
       "\n",
       "   component_subst_10  component_subst_11  component_subst_12  \\\n",
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       "3            0.018498           -0.128196            0.009144   \n",
       "4            0.101051           -0.183366            0.058136   \n",
       "\n",
       "   component_subst_13  component_subst_14  component_subst_15  \\\n",
       "0           -0.008387           -0.018590           -0.247005   \n",
       "1            0.201798            0.054673            0.034674   \n",
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       "3            1.100876            0.376888           -0.235129   \n",
       "4           -0.008700           -0.019289           -0.256713   \n",
       "\n",
       "   component_subst_16  component_subst_17  component_subst_18  \\\n",
       "0           -0.059015       -3.243527e-14       -1.647210e-15   \n",
       "1            0.064856       -8.662903e-15       -9.081795e-15   \n",
       "2            1.553137        8.706223e-15       -4.396408e-14   \n",
       "3            0.767666       -1.561418e-14       -7.664397e-15   \n",
       "4           -0.061567       -7.020845e-15        2.162130e-14   \n",
       "\n",
       "   component_subst_19  component_subst_20  component_subst_21  \\\n",
       "0            0.007311           -0.035609            0.009178   \n",
       "1           -0.030133           -0.026499            0.474011   \n",
       "2           -0.025767            0.255194           -0.765258   \n",
       "3           -0.045157           -0.073791            0.415444   \n",
       "4            0.007644           -0.037253            0.009612   \n",
       "\n",
       "   component_subst_22  component_subst_23  component_subst_24  \\\n",
       "0           -0.060056            0.089841           -0.325312   \n",
       "1           -0.026681           -0.092407           -0.331800   \n",
       "2            1.673000            0.470011            0.827383   \n",
       "3           -0.689447           -0.392109           -0.887187   \n",
       "4           -0.062906            0.094208           -0.342207   \n",
       "\n",
       "   component_subst_25  component_subst_26  component_subst_27  \\\n",
       "0            0.213417           -0.088490            0.178959   \n",
       "1           -0.060917           -0.234786            0.282946   \n",
       "2            0.578060           -0.384967           -0.029913   \n",
       "3           -3.119496           -0.798028           -0.545211   \n",
       "4            0.225943           -0.093886            0.190356   \n",
       "\n",
       "   component_subst_28  component_subst_29  component_subst_30  \\\n",
       "0           -0.094894            0.042453       -1.992476e-14   \n",
       "1            0.121721            0.094925       -3.327934e-14   \n",
       "2           -0.633882            0.035681        1.244395e-16   \n",
       "3           -0.038486           -0.087291        2.149927e-14   \n",
       "4           -0.101299            0.045454       -1.615133e-14   \n",
       "\n",
       "   component_subst_31  component_subst_32  component_subst_33  \\\n",
       "0           -0.136733            0.019356           -0.180129   \n",
       "1           -0.646404            0.271288            0.525027   \n",
       "2           -0.071088            0.054320            0.112258   \n",
       "3            0.333209           -0.675584            0.452261   \n",
       "4           -0.146735            0.020817           -0.194077   \n",
       "\n",
       "   component_subst_34  component_subst_35  component_subst_36  \\\n",
       "0            0.009635        2.190750e-14            0.141534   \n",
       "1            1.238615        2.172269e-13            1.978896   \n",
       "2            0.328379        6.342709e-14            0.094055   \n",
       "3            2.240789        3.306318e-13            1.036263   \n",
       "4            0.010414       -1.258409e-15            0.153301   \n",
       "\n",
       "   component_subst_37  component_subst_38  component_subst_39  \\\n",
       "0           -0.153578            0.001651            0.046851   \n",
       "1            2.294977            0.007950           -0.249867   \n",
       "2           -0.002321            0.341134            0.015526   \n",
       "3            0.790363           -1.011150           -0.063715   \n",
       "4           -0.166834            0.001799            0.051091   \n",
       "\n",
       "   component_subst_40  component_subst_41  component_subst_42  \\\n",
       "0           -0.071015           -0.186672            0.255427   \n",
       "1            0.247677            1.413177            0.866485   \n",
       "2           -0.262054            0.071253            0.609597   \n",
       "3            0.092465            1.080976            0.427377   \n",
       "4           -0.077595           -0.204456            0.280981   \n",
       "\n",
       "   component_subst_43  component_subst_44  component_subst_45  \\\n",
       "0           -0.013386           -0.161729           -0.044450   \n",
       "1           -0.899747            0.600651           -0.027199   \n",
       "2            1.794221            2.040518            0.676426   \n",
       "3           -0.136047           -0.343833           -0.310887   \n",
       "4           -0.014742           -0.178770           -0.049365   \n",
       "\n",
       "   component_subst_46  component_subst_47  component_subst_48  \\\n",
       "0            0.003305           -0.116839            0.038270   \n",
       "1            0.012751            0.183152           -0.175083   \n",
       "2            0.390360            1.978167            3.205835   \n",
       "3            0.019484            0.056834            0.418686   \n",
       "4            0.003675           -0.130130            0.042667   \n",
       "\n",
       "   component_subst_49  component_subst_50  component_subst_51  \\\n",
       "0            0.003918           -0.001346           -0.068953   \n",
       "1            1.597826            1.555554           -0.285584   \n",
       "2           -1.169401            2.268043           -0.207469   \n",
       "3            2.199307           -0.185255           -0.020752   \n",
       "4            0.004373           -0.001505           -0.077176   \n",
       "\n",
       "   component_subst_52  component_subst_53  component_subst_54  \\\n",
       "0            0.180818           -0.014731            0.127443   \n",
       "1            0.422331           -0.042733            0.165738   \n",
       "2           -0.411983           -1.167475            0.086875   \n",
       "3           -0.053234           -0.363833            0.088576   \n",
       "4            0.203215           -0.016582            0.143858   \n",
       "\n",
       "   component_subst_55  component_subst_56  component_subst_57  \\\n",
       "0           -0.264189            0.040231           -0.181205   \n",
       "1           -0.719688           -0.956732           -0.887443   \n",
       "2           -0.206380           -8.043625            3.152743   \n",
       "3            0.049509            0.362065            0.130003   \n",
       "4           -0.299881            0.045849           -0.207280   \n",
       "\n",
       "   component_subst_58  component_subst_59  component_subst_60  \\\n",
       "0            0.241324           -0.102286            0.056814   \n",
       "1           -1.917083           -5.542479           -6.887652   \n",
       "2            3.950973            0.846672           -0.993667   \n",
       "3            0.517916           -0.717844           -1.431805   \n",
       "4            0.277851           -0.118102            0.065992   \n",
       "\n",
       "   component_subst_61  component_subst_62  component_subst_63  \\\n",
       "0       -3.127492e-14        8.130376e-15        1.191262e-14   \n",
       "1        1.588110e-13        1.709038e-13       -8.737375e-15   \n",
       "2        1.458134e-13       -2.587930e-13        1.379123e-14   \n",
       "3        3.433536e-14        5.868920e-14        1.321065e-14   \n",
       "4       -4.115579e-14        2.708686e-14        6.934103e-15   \n",
       "\n",
       "   component_subst_64  component_subst_65  component_subst_66  \\\n",
       "0           -0.004898            0.099660           -0.107343   \n",
       "1            1.120308           -0.805862            1.080723   \n",
       "2           -1.489338           -0.070624            2.177096   \n",
       "3            0.288762           -0.191432            0.606853   \n",
       "4           -0.005722            0.116699           -0.126039   \n",
       "\n",
       "   component_subst_67  component_subst_68  component_subst_69  \\\n",
       "0            0.033451           -0.028953           -0.193646   \n",
       "1            0.871551            0.948179            0.503909   \n",
       "2            3.781992            0.007407           -0.482504   \n",
       "3            0.458395            1.074034           -0.145191   \n",
       "4            0.039321           -0.034088           -0.228950   \n",
       "\n",
       "   component_subst_70  component_subst_71  component_subst_72  \\\n",
       "0            0.079494           -0.195416            0.018857   \n",
       "1            1.088353           -0.249249            0.438265   \n",
       "2            0.087154           -0.050514            0.292902   \n",
       "3            0.771291           -0.435241            0.188059   \n",
       "4            0.094232           -0.232810            0.022547   \n",
       "\n",
       "   component_subst_73  component_subst_74  component_subst_75  \\\n",
       "0            0.028247           -0.024856           -0.020206   \n",
       "1            0.432557            0.264965           -1.499620   \n",
       "2           -0.420633           -0.428487           -0.295148   \n",
       "3            0.387893            0.285456           -0.230149   \n",
       "4            0.033866           -0.029816           -0.024294   \n",
       "\n",
       "   component_subst_76  component_subst_77  component_subst_78  \\\n",
       "0           -0.032428            0.225834           -0.049568   \n",
       "1            3.430568            0.444718            0.180344   \n",
       "2           -0.199763            0.044445           -0.177400   \n",
       "3            1.002544            0.270452           -0.012226   \n",
       "4           -0.039090            0.272728           -0.060238   \n",
       "\n",
       "   component_subst_79  component_subst_80  component_subst_81  \\\n",
       "0           -0.024137            0.162318           -0.057837   \n",
       "1           -4.229705           -0.747633           -1.150081   \n",
       "2            2.867744            0.132810            1.945645   \n",
       "3           -0.318490            0.124744           -0.190850   \n",
       "4           -0.029386            0.198358           -0.071002   \n",
       "\n",
       "   component_subst_82  component_subst_83  component_subst_84  \\\n",
       "0           -0.086316           -0.117223            0.227545   \n",
       "1            0.050934           -2.312222           -3.685986   \n",
       "2           -1.398185           -1.360548           -1.173219   \n",
       "3           -0.006381           -0.330457            0.324097   \n",
       "4           -0.106074           -0.144966            0.282797   \n",
       "\n",
       "   component_subst_85  component_subst_86  component_subst_87  \\\n",
       "0           -0.128908           -0.154524        8.409310e-15   \n",
       "1           -5.252485           -2.814127        6.096809e-14   \n",
       "2           -1.228666            0.945710        1.795920e-14   \n",
       "3            0.585783            0.294493        2.552588e-15   \n",
       "4           -0.160407           -0.193879        1.508009e-14   \n",
       "\n",
       "   component_subst_88  component_subst_89  component_subst_90  \\\n",
       "0            0.264073           -0.025814           -0.020287   \n",
       "1           -1.938582            6.873812            1.172754   \n",
       "2            1.072464            0.194950            0.087756   \n",
       "3            0.430592           -0.086883           -0.029395   \n",
       "4            0.333059           -0.032746           -0.025834   \n",
       "\n",
       "   component_subst_91  component_subst_92  component_subst_93  \\\n",
       "0           -0.211681            0.005062            0.023804   \n",
       "1            0.424735            0.389788           -0.324616   \n",
       "2           -0.342318            0.519725           -0.312109   \n",
       "3           -0.211332            0.183217           -0.103258   \n",
       "4           -0.270669            0.006543            0.030787   \n",
       "\n",
       "   component_subst_94  component_subst_95  component_subst_96  \\\n",
       "0            0.057938           -0.000259        1.790533e-14   \n",
       "1           -0.314544           -0.119885       -5.357904e-14   \n",
       "2           -0.050348           -0.771902       -4.729240e-14   \n",
       "3            0.104697            0.355196        4.223916e-14   \n",
       "4            0.075119           -0.000337        1.347152e-14   \n",
       "\n",
       "   component_subst_97  component_subst_98  component_subst_99  \\\n",
       "0       -6.466828e-15           -0.054167           -0.068556   \n",
       "1        1.187454e-14            1.324702           -0.796236   \n",
       "2       -4.200958e-14           -0.007258            0.199290   \n",
       "3        1.085300e-14           -0.461332            0.257768   \n",
       "4       -9.866433e-15           -0.070705           -0.089844   \n",
       "\n",
       "   component_subst_100  component_subst_101  component_subst_102  \\\n",
       "0             0.028980             0.388653            -0.253337   \n",
       "1            -0.098067            -0.292354            -0.101533   \n",
       "2            -0.681951             0.455598            -0.101367   \n",
       "3             0.044827             0.327826            -0.018042   \n",
       "4             0.038590             0.521156            -0.341355   \n",
       "\n",
       "   component_subst_103  component_subst_104  component_subst_105  \\\n",
       "0             0.033847             0.006866             0.078714   \n",
       "1             0.065864            -0.081738             0.487258   \n",
       "2            -0.119807             1.186865            -0.252406   \n",
       "3             0.000936             0.141870            -0.127608   \n",
       "4             0.046026             0.009445             0.108424   \n",
       "\n",
       "   component_subst_106  component_subst_107  component_subst_108  \\\n",
       "0            -0.127684            -0.047616            -0.021890   \n",
       "1             1.193379             2.680992             2.200068   \n",
       "2            -0.024093             0.161631             0.045526   \n",
       "3            -0.572310            -2.124003            -1.798731   \n",
       "4            -0.177610            -0.066453            -0.030633   \n",
       "\n",
       "   component_subst_109  component_subst_110  component_subst_111  \\\n",
       "0            -0.220432            -0.002398             0.050197   \n",
       "1            -0.787203             0.505804             0.657302   \n",
       "2             0.017746            -0.073690             0.164133   \n",
       "3             0.863368            -0.433036            -0.454414   \n",
       "4            -0.312119            -0.003426             0.072167   \n",
       "\n",
       "   component_subst_112  component_subst_113  component_subst_114  \\\n",
       "0             0.159539             0.027777            -0.295993   \n",
       "1            -1.180382            -1.404384            -0.106098   \n",
       "2             0.056512             0.052668            -0.011376   \n",
       "3             0.134219             0.484697            -0.330239   \n",
       "4             0.231554             0.040438            -0.432976   \n",
       "\n",
       "   component_subst_115  component_subst_116  component_subst_117  \\\n",
       "0            -0.162828         4.462719e-14        -4.918499e-16   \n",
       "1             0.081603        -2.128037e-14        -2.963011e-15   \n",
       "2            -0.011401        -3.580008e-15         1.093991e-15   \n",
       "3            -0.205311         3.952221e-14         1.662758e-15   \n",
       "4            -0.239109         6.619119e-14        -1.677877e-15   \n",
       "\n",
       "   component_subst_118  component_subst_119  component_subst_120  \\\n",
       "0             0.107092             0.113219             0.039412   \n",
       "1            -0.083608            -0.159725            -0.449700   \n",
       "2            -0.000696            -0.016541            -0.033770   \n",
       "3             0.115426             0.178977             0.282022   \n",
       "4             0.161797             0.173525             0.060829   \n",
       "\n",
       "   component_subst_121  component_subst_122  component_subst_123  \\\n",
       "0            -0.172022            -0.220028        -8.751543e-15   \n",
       "1             0.194368             0.014907         3.676749e-15   \n",
       "2             0.453415            -0.307058        -1.607399e-14   \n",
       "3            -0.377906            -0.139341        -2.841887e-14   \n",
       "4            -0.269793            -0.348275        -2.131085e-14   \n",
       "\n",
       "   component_subst_124  component_subst_125  component_subst_126  \\\n",
       "0            -0.010200             0.444249            -0.044664   \n",
       "1            -0.210597            -0.321029             0.090754   \n",
       "2             0.227491             0.188480             0.197926   \n",
       "3             0.286236             1.031173            -0.355017   \n",
       "4            -0.016486             0.746203            -0.075783   \n",
       "\n",
       "   component_subst_127  component_subst_128  component_subst_129  \\\n",
       "0            -0.131796             0.058539             0.035006   \n",
       "1             0.374776             0.379934             0.116906   \n",
       "2            -0.077798             0.085457            -0.100941   \n",
       "3            -1.559287            -1.735458            -0.559633   \n",
       "4            -0.227956             0.101781             0.061160   \n",
       "\n",
       "   component_subst_130  component_subst_131  component_subst_132  \\\n",
       "0            -0.238868         1.510006e-14             0.098808   \n",
       "1             0.345574        -7.645575e-15             0.009495   \n",
       "2            -0.013491         1.073954e-14            -0.002198   \n",
       "3            -0.348640         1.467989e-14            -0.435477   \n",
       "4            -0.438175         3.222461e-14             0.184460   \n",
       "\n",
       "   component_subst_133  component_subst_134  component_subst_135  \\\n",
       "0             0.569954             0.042698            -0.025212   \n",
       "1            -0.016827             0.112408            -0.173325   \n",
       "2             0.026210             0.050506             0.001446   \n",
       "3             1.001849            -0.700334             3.690378   \n",
       "4             1.084014             0.083177            -0.050072   \n",
       "\n",
       "   component_subst_136  component_subst_137  component_subst_138  \\\n",
       "0        -7.338291e-15             0.341069            -0.092129   \n",
       "1         8.101666e-15             0.014587            -0.126423   \n",
       "2        -3.082138e-15            -0.115621            -0.350405   \n",
       "3        -2.267763e-13             0.136049             0.165872   \n",
       "4        -1.447434e-14             0.711144            -0.192439   \n",
       "\n",
       "   component_subst_139  component_subst_140  component_subst_141  \\\n",
       "0             0.097028             0.425816             0.012975   \n",
       "1             0.204593            -0.287843             0.038271   \n",
       "2            -0.040446             0.058875            -0.098808   \n",
       "3            -0.064425             1.831543            -0.117373   \n",
       "4             0.213880             0.956295             0.031234   \n",
       "\n",
       "   component_subst_142  component_subst_143  component_subst_144  \\\n",
       "0            -0.366260             0.002226             0.010421   \n",
       "1             0.029294            -0.182272            -0.019363   \n",
       "2            -0.043452             0.004027             0.004692   \n",
       "3             0.495037             1.640065            -2.377937   \n",
       "4            -0.885565             0.005434             0.025964   \n",
       "\n",
       "   component_subst_145  component_subst_146  component_subst_147  \\\n",
       "0             0.229521            -0.043583            -0.037340   \n",
       "1            -0.052186            -0.001587             0.056778   \n",
       "2             0.027452             0.038743            -0.047901   \n",
       "3            -0.270971            -0.587502            -0.387335   \n",
       "4             0.588890            -0.114346            -0.101193   \n",
       "\n",
       "   component_subst_148  component_subst_149  component_subst_150  \\\n",
       "0            -0.369961             0.113361            -0.541319   \n",
       "1             0.201804            -0.249874             0.066708   \n",
       "2            -0.078691            -0.080520             0.254950   \n",
       "3            -5.674834             8.823387             3.026627   \n",
       "4            -1.098288             0.361655            -1.795660   \n",
       "\n",
       "   component_subst_151  component_subst_152  component_subst_153  \\\n",
       "0             0.842622             0.247434            -0.182522   \n",
       "1            -0.022978            -0.163430             0.103429   \n",
       "2             0.127815             0.081546             0.078447   \n",
       "3            -2.537266             0.597662             1.671185   \n",
       "4             3.085256             0.946288            -0.948447   \n",
       "\n",
       "   component_subst_154  component_subst_155  component_subst_156  \\\n",
       "0            -0.775736             0.170712             0.156686   \n",
       "1             0.068530             0.028683            -0.022252   \n",
       "2            -0.078795             0.040584             0.166117   \n",
       "3             2.389781             2.869602            -0.474410   \n",
       "4            -5.599670             1.384547             2.010297   \n",
       "\n",
       "   component_subst_157  component_subst_158  component_subst_159  \\\n",
       "0            -0.020156             0.004401         1.190363e-13   \n",
       "1            -0.251658             0.003932        -1.489279e-14   \n",
       "2            -0.060886             0.008917        -2.742672e-14   \n",
       "3            -2.822011             0.038330         7.244248e-13   \n",
       "4            -0.918940             0.859315         7.449055e+00   \n",
       "\n",
       "   component_subst_160  component_subst_161  component_subst_162  \\\n",
       "0         1.483669e-15         2.280225e-14        -9.295799e-15   \n",
       "1         4.978509e-15        -1.516080e-14        -2.155840e-14   \n",
       "2        -1.268749e-14        -8.557905e-15        -1.026178e-14   \n",
       "3         3.374715e-13        -1.803557e-13        -6.030535e-13   \n",
       "4         6.494328e-01         1.113901e+01         1.859886e+01   \n",
       "\n",
       "   component_subst_163  component_subst_164  component_subst_165  \\\n",
       "0        -3.603068e-14             0.013540            -0.651058   \n",
       "1        -1.570901e-15             0.095453             0.043634   \n",
       "2        -4.606933e-14            -0.106547            -0.028291   \n",
       "3         6.600532e-13             4.386403             0.689792   \n",
       "4         4.802998e+00            -0.597454             4.821019   \n",
       "\n",
       "   component_subst_166  component_subst_167  component_subst_168  \\\n",
       "0             0.063322            -0.638739             0.758475   \n",
       "1             0.001353            -0.039418            -0.114983   \n",
       "2             0.029281             0.077380             0.070065   \n",
       "3            -0.414514             1.637238             1.144355   \n",
       "4            -0.315927             2.470203            -2.519668   \n",
       "\n",
       "   component_subst_169  component_subst_170  component_subst_171  \\\n",
       "0            -0.498019         1.408654e-13        -7.947477e-15   \n",
       "1             0.088410        -1.370563e-14         6.121319e-15   \n",
       "2            -0.052075        -2.894408e-14         6.820497e-16   \n",
       "3             0.786608         3.959943e-13        -1.837303e-14   \n",
       "4             1.276099        -2.994493e-13         2.515635e-14   \n",
       "\n",
       "   component_subst_172  component_subst_173  component_subst_174  \\\n",
       "0        -9.198463e-15             0.042858             0.309151   \n",
       "1         2.317471e-15             0.000437            -0.081448   \n",
       "2         7.186221e-15            -0.061290            -0.308354   \n",
       "3         2.207228e-14             1.389544             0.255784   \n",
       "4         1.811553e-14            -0.083144            -0.403976   \n",
       "\n",
       "   component_subst_175  component_subst_176  component_subst_177  \\\n",
       "0             1.369083            -0.261190             0.730390   \n",
       "1            -0.091449             0.001018             0.005780   \n",
       "2             0.056562             0.122634            -0.158405   \n",
       "3            -2.445786             3.399803             1.184038   \n",
       "4            -1.482649             0.234063            -0.510710   \n",
       "\n",
       "   component_subst_178  component_subst_179  component_subst_180  \\\n",
       "0             1.804310         2.253177e-13         8.394580e-13   \n",
       "1            -0.154814        -1.344649e-14        -6.853560e-14   \n",
       "2             0.237606         3.114297e-14         6.790202e-14   \n",
       "3             0.171568         1.000272e-14        -1.758615e-14   \n",
       "4            -1.167835        -1.500990e-13        -4.317477e-13   \n",
       "\n",
       "   component_subst_181  component_subst_182  component_subst_183  \\\n",
       "0             0.440200            -2.282148             2.006626   \n",
       "1            -0.027798             0.178359            -0.145871   \n",
       "2             0.304301            -0.033719             0.035274   \n",
       "3            -0.095322             0.356624            -0.121146   \n",
       "4            -0.175926             0.682139            -0.511997   \n",
       "\n",
       "   component_subst_184  component_subst_185  component_subst_186  \\\n",
       "0            -1.127670            -0.686174             5.569021   \n",
       "1             0.017845             0.055369            -0.451027   \n",
       "2             0.047096            -0.042046             0.084747   \n",
       "3             0.221639             0.018941            -0.415984   \n",
       "4             0.247958             0.138017            -0.877228   \n",
       "\n",
       "   component_subst_187  component_subst_188  component_subst_189  \\\n",
       "0            -2.873866             4.128698             3.578827   \n",
       "1             0.338340             0.750322             0.280591   \n",
       "2            -0.037246             0.048524             0.054245   \n",
       "3             0.101230            -0.479809             0.298489   \n",
       "4             0.400577            -0.443542            -0.208064   \n",
       "\n",
       "   component_subst_190  component_subst_191  component_subst_192  \\\n",
       "0            -5.617174         6.324661e+00        -2.413292e+01   \n",
       "1            -0.007356        -8.355410e-15        -2.192535e-17   \n",
       "2            -0.007659        -9.794193e-15        -3.771568e-14   \n",
       "3             0.033595         3.665574e-14        -1.219347e-14   \n",
       "4             0.047432         5.868903e-14        -2.800402e-14   \n",
       "\n",
       "   component_subst_193  component_subst_194  component_subst_195  \\\n",
       "0         2.923663e+00         7.360223e+00             0.181086   \n",
       "1        -1.671059e-16        -6.581963e-15             0.000675   \n",
       "2        -1.540848e-15         1.316728e-14             0.001540   \n",
       "3         1.141374e-14         1.554639e-14            -0.003180   \n",
       "4         3.981517e-15         2.906540e-14             0.001297   \n",
       "\n",
       "   component_subst_196  component_subst_197  component_subst_198  \\\n",
       "0             0.262566            -0.169054             2.605313   \n",
       "1            -0.002560            -0.010751            -0.015237   \n",
       "2            -0.166739            -0.286006            -0.210125   \n",
       "3             0.892421             1.272914             0.229874   \n",
       "4             0.009690            -0.008621             0.205410   \n",
       "\n",
       "   component_subst_199  component_subst_200  component_subst_201  \\\n",
       "0            -2.485661            -3.087260             1.776505   \n",
       "1             0.006833             0.008517             0.012907   \n",
       "2            -0.116936             0.334848             0.100193   \n",
       "3            -1.981026            -0.087682             3.024837   \n",
       "4            -0.244906            -0.340912             0.275924   \n",
       "\n",
       "   component_subst_202  component_subst_203  component_subst_204  \\\n",
       "0            -3.138399             0.816336            -0.150408   \n",
       "1            -0.048751             0.034659            -0.009453   \n",
       "2            -0.010571            -0.009753             0.016820   \n",
       "3             0.606138            -0.159065            -0.057675   \n",
       "4            -0.650563             0.179193            -0.034837   \n",
       "\n",
       "   component_subst_205  component_subst_206  component_subst_207  \\\n",
       "0             0.133742         8.682925e-14        -1.842306e-13   \n",
       "1             0.176678         1.378203e-14        -2.052990e-13   \n",
       "2             0.003207         6.249954e-16         1.403045e-14   \n",
       "3            -0.610056        -1.887204e-14         6.063013e-13   \n",
       "4             0.033020         1.239112e-14        -1.743089e-14   \n",
       "\n",
       "   component_subst_208  component_subst_209  component_subst_210  \\\n",
       "0             0.154674             0.137085            -0.359835   \n",
       "1             0.606152            -0.151427            -0.001820   \n",
       "2             0.010087             0.039360             0.013408   \n",
       "3             0.126234            -0.120250             0.009999   \n",
       "4             0.040123             0.037370            -0.100494   \n",
       "\n",
       "   component_subst_211  component_subst_212  component_subst_213  \\\n",
       "0            -0.062608             1.685932             0.263222   \n",
       "1            -0.000530             0.029979            -0.012511   \n",
       "2            -0.000094            -0.103354            -0.232393   \n",
       "3            -0.050681             1.312824            -1.406035   \n",
       "4            -0.017965             0.538405             0.086963   \n",
       "\n",
       "   component_subst_214  component_subst_215  component_subst_216  \\\n",
       "0             1.336914            -0.010100             0.709481   \n",
       "1             0.072608            -0.003188             0.012854   \n",
       "2            -0.035536             0.031708             0.255945   \n",
       "3            -1.611800             0.086966             0.216413   \n",
       "4             0.468957            -0.003689             0.263290   \n",
       "\n",
       "   component_subst_217  component_subst_218  component_subst_219  \\\n",
       "0            -0.097827             0.455524         3.470080e-14   \n",
       "1            -0.002087             0.015318        -1.861763e-14   \n",
       "2            -0.093701             0.053697         5.390343e-14   \n",
       "3            -0.157856             0.007418         3.583562e-13   \n",
       "4            -0.037724             0.176658         2.023649e-14   \n",
       "\n",
       "   component_subst_220  component_subst_221  component_subst_222  \\\n",
       "0         4.751341e-16             0.019049             0.113409   \n",
       "1        -4.395117e-15            -0.023045             0.014933   \n",
       "2         1.193315e-15             0.086277             0.300544   \n",
       "3         4.957455e-15             0.563190             0.543589   \n",
       "4        -4.885752e-15             0.007628             0.046726   \n",
       "\n",
       "   component_subst_223  component_subst_224  component_subst_225  \\\n",
       "0             0.036723             0.095398             0.488382   \n",
       "1             0.002359             0.008714             0.047148   \n",
       "2            -0.020991             0.026833            -0.100668   \n",
       "3             0.021739            -0.615095            -0.541824   \n",
       "4             0.015223             0.040097             0.209301   \n",
       "\n",
       "   component_subst_226  component_subst_227  component_subst_228  \\\n",
       "0             0.201664            -0.927437            -0.782561   \n",
       "1             0.270719            -0.001885            -0.086853   \n",
       "2             0.023038            -0.030859             0.017650   \n",
       "3             0.046580             1.077919             0.357059   \n",
       "4             0.089210            -0.422788            -0.364306   \n",
       "\n",
       "   component_subst_229  component_subst_230  component_subst_231  \\\n",
       "0         1.152388e-14             0.031892             0.310003   \n",
       "1        -6.022050e-15            -0.026313             0.005849   \n",
       "2         3.353501e-16            -0.011896             0.015476   \n",
       "3        -3.325365e-14            -0.197122            -1.490745   \n",
       "4         3.489539e-15             0.015269             0.150024   \n",
       "\n",
       "   component_subst_232  component_subst_233  component_subst_234  \\\n",
       "0            -0.367353             0.002090             0.024925   \n",
       "1            -0.048872             0.010318            -0.008764   \n",
       "2            -0.008212            -0.135447            -0.206523   \n",
       "3            -0.582277            -8.700384             7.527099   \n",
       "4            -0.178425             0.001024             0.012411   \n",
       "\n",
       "   component_subst_235  component_subst_236  component_subst_237  \\\n",
       "0        -7.129588e-15        -8.336984e-15         2.453225e-14   \n",
       "1         4.333706e-15        -6.095101e-16        -3.598832e-15   \n",
       "2        -1.478311e-14        -1.029272e-14        -6.892231e-15   \n",
       "3         3.067925e-13         1.775651e-13         1.515135e-13   \n",
       "4         3.148931e-15        -1.472302e-15        -2.478405e-15   \n",
       "\n",
       "   component_subst_238  component_subst_239  component_subst_240  \\\n",
       "0        -2.830370e-14            -0.190585            -0.267310   \n",
       "1         4.726084e-15             0.035999            -0.056899   \n",
       "2        -2.101287e-14            -0.062793             0.046202   \n",
       "3         6.232484e-13            -2.238930             0.540260   \n",
       "4         3.029848e-14            -0.097120            -0.137141   \n",
       "\n",
       "   component_subst_241  component_subst_242  component_subst_243  \\\n",
       "0            -0.205650            -0.065043            -0.061319   \n",
       "1            -0.035054            -0.009626            -0.098580   \n",
       "2             0.022724             0.006818            -0.032911   \n",
       "3             0.322569            -0.027777            -1.649279   \n",
       "4            -0.105828            -0.033490            -0.031876   \n",
       "\n",
       "   component_subst_244  component_subst_245  component_subst_246  \\\n",
       "0             0.172599             0.133210            -0.298560   \n",
       "1            -0.007097            -0.020017            -0.041456   \n",
       "2            -0.024590            -0.001264             0.011652   \n",
       "3             0.056138             2.107223            -0.308339   \n",
       "4             0.089795             0.070360            -0.158432   \n",
       "\n",
       "   component_subst_247  component_subst_248  component_subst_249  \\\n",
       "0        -6.781854e-14             0.357389             0.133364   \n",
       "1         1.877032e-15             0.067592             0.047360   \n",
       "2         5.069857e-15            -0.007780             0.001087   \n",
       "3         4.781885e-14            -0.189041            -1.077546   \n",
       "4        -2.605041e-14             0.190700             0.071422   \n",
       "\n",
       "   component_subst_250  component_subst_251  component_subst_252  \\\n",
       "0             0.058365             0.116900             0.289019   \n",
       "1             0.023526             0.067712             0.012724   \n",
       "2             0.033869            -0.000338            -0.012259   \n",
       "3             0.188517            -0.284992             0.527670   \n",
       "4             0.031650             0.063622             0.158250   \n",
       "\n",
       "   component_subst_253  component_subst_254  component_subst_255  \\\n",
       "0            -0.073316             0.019659            -0.035357   \n",
       "1             0.029172             0.027898             0.049876   \n",
       "2             0.072921            -0.009239             0.038123   \n",
       "3            -0.259520             0.515862            -0.394030   \n",
       "4            -0.040173             0.010815            -0.019477   \n",
       "\n",
       "   component_subst_256  component_subst_257  component_subst_258  \\\n",
       "0            -0.385450            -0.225754            -0.060030   \n",
       "1            -0.055915            -0.052027            -0.043619   \n",
       "2            -0.027186             0.097158             0.054421   \n",
       "3            -0.108347             0.126951             0.114692   \n",
       "4            -0.214809            -0.126418            -0.033913   \n",
       "\n",
       "   component_subst_259  component_subst_260  component_subst_261  \\\n",
       "0             0.206795            -0.005316         7.652177e-14   \n",
       "1             0.043461             0.170619         2.731206e-14   \n",
       "2            -0.005621             0.064217        -1.320057e-14   \n",
       "3            -0.059025            -0.199459        -1.574501e-15   \n",
       "4             0.117290            -0.003027         4.292567e-14   \n",
       "\n",
       "   component_subst_262  component_subst_263  component_subst_264  \\\n",
       "0        -8.318906e-15         1.855290e-14            -0.046032   \n",
       "1         3.625619e-15        -9.192938e-15            -0.178615   \n",
       "2         7.754683e-15        -5.139060e-15             0.061193   \n",
       "3         1.158532e-14        -6.917306e-15            -0.062771   \n",
       "4        -7.275438e-15         8.818432e-15            -0.026423   \n",
       "\n",
       "   component_subst_265  component_subst_266  component_subst_267  \\\n",
       "0             0.051589            -0.001659             0.144272   \n",
       "1            -0.111316            -0.036179             0.018496   \n",
       "2             0.033460            -0.104530            -0.005875   \n",
       "3            -0.264185            -0.316824             0.241020   \n",
       "4             0.029714            -0.000959             0.084136   \n",
       "\n",
       "   component_subst_268  component_subst_269  component_subst_270  \\\n",
       "0            -0.093617             0.367024             0.087949   \n",
       "1            -0.012893             0.053691             0.011816   \n",
       "2             0.003701            -0.014109             0.009378   \n",
       "3             0.152551            -0.003651            -0.011783   \n",
       "4            -0.054631             0.215568             0.051955   \n",
       "\n",
       "   component_subst_271  component_subst_272  component_subst_273  \\\n",
       "0             0.308478            -0.081549             0.237023   \n",
       "1             0.052073            -0.017028             0.040361   \n",
       "2            -0.046765            -0.041138            -0.028678   \n",
       "3            -0.086171            -0.066575             0.036959   \n",
       "4             0.183171            -0.048495             0.141379   \n",
       "\n",
       "   component_subst_274  component_subst_275  component_subst_276  \\\n",
       "0             0.328743            -0.021644            -0.163445   \n",
       "1             0.069013            -0.003008            -0.031730   \n",
       "2             0.045703            -0.043336            -0.031026   \n",
       "3             0.034833             0.255664            -1.001814   \n",
       "4             0.197975            -0.013100            -0.099014   \n",
       "\n",
       "   component_subst_277  component_subst_278  component_subst_279  \\\n",
       "0            -0.112516            -0.114669            -0.033258   \n",
       "1            -0.023293            -0.008472             0.020202   \n",
       "2            -0.055985             0.049171            -0.053912   \n",
       "3             0.458017             0.053051             0.127795   \n",
       "4            -0.068403            -0.069823            -0.020300   \n",
       "\n",
       "   component_subst_280  component_subst_281  component_subst_282  \\\n",
       "0             0.046865             0.014115             0.131679   \n",
       "1            -0.032660             0.020853             0.092970   \n",
       "2            -0.067371            -0.035067             0.000536   \n",
       "3            -0.256081            -0.092397             0.291911   \n",
       "4             0.028667             0.008660             0.080849   \n",
       "\n",
       "   component_subst_283  component_subst_284  component_subst_285  \\\n",
       "0             0.029748             0.060557             0.007345   \n",
       "1             0.038709            -0.025273            -0.092210   \n",
       "2             0.005158            -0.016818             0.004680   \n",
       "3             0.293737            -0.204764            -0.279093   \n",
       "4             0.018267             0.037259             0.004534   \n",
       "\n",
       "   component_subst_286  component_subst_287  component_subst_288  \\\n",
       "0            -0.041827            -0.107469            -0.016499   \n",
       "1            -0.039493             0.018911            -0.040979   \n",
       "2            -0.023125            -0.021831             0.148711   \n",
       "3            -0.197274             0.073310             0.040332   \n",
       "4            -0.025827            -0.066582            -0.010271   \n",
       "\n",
       "   component_subst_289  component_subst_290  component_subst_291  \\\n",
       "0            -0.023853             0.002440        -6.569859e-15   \n",
       "1             0.002041            -0.098237         1.572386e-14   \n",
       "2             0.013757            -0.063895         8.883452e-15   \n",
       "3             0.075965            -0.377223         1.527932e-14   \n",
       "4            -0.014878             0.001524         9.057460e-16   \n",
       "\n",
       "   component_subst_292  component_subst_293  component_subst_294  \\\n",
       "0        -2.634988e-15         1.227231e-14        -1.212728e-14   \n",
       "1        -1.885621e-14        -1.565498e-14         1.647916e-14   \n",
       "2        -1.643577e-14         1.294132e-14        -5.763072e-15   \n",
       "3        -8.983287e-14        -3.625972e-14         9.099695e-15   \n",
       "4         1.235076e-15        -4.761978e-16         3.921511e-15   \n",
       "\n",
       "   component_subst_295  component_subst_296  component_subst_297  \\\n",
       "0         9.084729e-15         4.437384e-15         3.474382e-15   \n",
       "1         5.747919e-15        -6.907323e-14         5.320851e-15   \n",
       "2        -9.237475e-15        -4.859377e-14         6.093142e-15   \n",
       "3         2.484794e-14        -1.444811e-13         4.546730e-14   \n",
       "4         3.473698e-15        -1.259151e-14        -1.572850e-15   \n",
       "\n",
       "   component_subst_298  component_subst_299  component_subst_300  \\\n",
       "0        -8.598402e-15         1.533392e-14             0.030810   \n",
       "1         8.057251e-17         1.107990e-14            -0.004564   \n",
       "2         5.033616e-15        -6.361015e-15             0.065733   \n",
       "3         4.327289e-15        -3.396765e-14            -0.133752   \n",
       "4        -5.102969e-15         2.749156e-14             0.019319   \n",
       "\n",
       "   component_subst_301  component_subst_302  component_subst_303  \\\n",
       "0             0.044445             0.001617            -0.059446   \n",
       "1            -0.005099            -0.040395            -0.003662   \n",
       "2            -0.032672            -0.047830            -0.002649   \n",
       "3             0.015751             0.154271             0.036649   \n",
       "4             0.027919             0.001017            -0.037488   \n",
       "\n",
       "   component_subst_304  component_subst_305  component_subst_306  \\\n",
       "0            -0.018513             0.022889             0.086097   \n",
       "1             0.007208            -0.025195             0.009470   \n",
       "2            -0.035700             0.105791            -0.087209   \n",
       "3             0.052402            -0.310400            -0.013993   \n",
       "4            -0.011701             0.014520             0.054943   \n",
       "\n",
       "   component_subst_307  component_subst_308  component_subst_309  \\\n",
       "0             0.125459             0.029344            -0.057642   \n",
       "1             0.023810            -0.003767            -0.002030   \n",
       "2             0.008726            -0.059298             0.055633   \n",
       "3            -0.518074            -0.128528             0.843354   \n",
       "4             0.080140             0.018752            -0.036887   \n",
       "\n",
       "   component_subst_310  component_subst_311  component_subst_312  \\\n",
       "0            -0.068310            -0.090439            -0.068834   \n",
       "1            -0.018872             0.022182             0.017340   \n",
       "2            -0.093536             0.030983            -0.053121   \n",
       "3            -0.364421            -0.554269             0.201645   \n",
       "4            -0.043830            -0.058193            -0.044312   \n",
       "\n",
       "   component_subst_313  component_subst_314  component_subst_315  \\\n",
       "0             0.012635            -0.053277            -0.101767   \n",
       "1             0.045017             0.021117            -0.109813   \n",
       "2            -0.013187            -0.061143            -0.001181   \n",
       "3             0.038283             0.239420            -0.652803   \n",
       "4             0.008137            -0.034330            -0.065656   \n",
       "\n",
       "   component_subst_316  component_subst_317  component_subst_318  \\\n",
       "0            -0.009959             0.009124            -0.020799   \n",
       "1            -0.093082             0.016703             0.018943   \n",
       "2            -0.014059             0.102919            -0.008711   \n",
       "3            -0.107141            -0.156769            -0.103050   \n",
       "4            -0.006437             0.005911            -0.013491   \n",
       "\n",
       "   component_subst_319  component_subst_320  component_subst_321  \\\n",
       "0             0.138018             0.093466             0.096488   \n",
       "1             0.077694             0.036528            -0.000768   \n",
       "2            -0.059241             0.003709            -0.106443   \n",
       "3             0.251819             0.008058             0.025629   \n",
       "4             0.089592             0.060794             0.062828   \n",
       "\n",
       "   component_subst_322  component_subst_323  component_subst_324  \\\n",
       "0            -0.113201            -0.060496            -0.064398   \n",
       "1            -0.267180             0.106018            -0.065442   \n",
       "2             0.004857            -0.032056            -0.021607   \n",
       "3            -0.161134            -0.117728            -0.336768   \n",
       "4            -0.073933            -0.039551            -0.042168   \n",
       "\n",
       "   component_subst_325  component_subst_326  component_subst_327  \\\n",
       "0            -0.060270            -0.130843            -0.264085   \n",
       "1            -0.038521            -0.033016            -0.000689   \n",
       "2             0.005249            -0.015340             0.020666   \n",
       "3            -0.086811            -0.188794            -0.039070   \n",
       "4            -0.039532            -0.085933            -0.173666   \n",
       "\n",
       "   component_subst_328  component_subst_329  component_subst_330  \\\n",
       "0            -0.001347        -5.897118e-15             0.059874   \n",
       "1            -0.049056         1.996433e-14            -0.002589   \n",
       "2             0.003224         3.487645e-14             0.000200   \n",
       "3            -0.396980         6.729623e-13             0.053812   \n",
       "4            -0.000888        -1.530786e-14             0.039501   \n",
       "\n",
       "   component_subst_331  component_subst_332  component_subst_333  \\\n",
       "0             0.075673             0.135059             0.039948   \n",
       "1             0.036452            -0.022335             0.007063   \n",
       "2            -0.001874            -0.000996             0.000719   \n",
       "3             0.321369            -0.337077            -0.134445   \n",
       "4             0.050000             0.089317             0.026505   \n",
       "\n",
       "   component_subst_334  component_subst_335  component_subst_336  \\\n",
       "0             0.000390        -1.575082e-14         8.323897e-15   \n",
       "1             0.001727         8.247797e-15         2.402163e-14   \n",
       "2             0.005983        -1.784712e-14        -9.126777e-15   \n",
       "3            -0.003000        -1.051933e-12        -9.733442e-13   \n",
       "4             0.000260        -7.187723e-15         2.688784e-14   \n",
       "\n",
       "   component_subst_337  component_subst_338  component_subst_339  \\\n",
       "0         4.195570e-16         2.602149e-15        -4.424968e-15   \n",
       "1        -2.212881e-14         4.221284e-16         5.780929e-15   \n",
       "2        -3.941932e-14        -1.236217e-14        -2.651019e-15   \n",
       "3        -8.239625e-13        -6.265155e-13         9.961792e-14   \n",
       "4        -1.209292e-15         5.231259e-15         5.085157e-16   \n",
       "\n",
       "   component_subst_340  component_subst_341  component_subst_342  \\\n",
       "0        -3.615162e-15        -1.066364e-14         2.962997e-15   \n",
       "1         7.021950e-15        -3.862638e-15        -4.177262e-15   \n",
       "2        -1.441036e-15         1.091766e-14        -4.477069e-15   \n",
       "3        -5.239064e-14         2.838013e-13        -1.753894e-13   \n",
       "4         3.474203e-15        -5.391051e-15         8.105415e-16   \n",
       "\n",
       "   component_subst_343  component_subst_344  component_subst_345  \\\n",
       "0            -0.011973            -0.016074            -0.059278   \n",
       "1             0.060147            -0.067768            -0.024733   \n",
       "2            -0.047071            -0.079668             0.008726   \n",
       "3             0.281279            -0.230917            -0.046427   \n",
       "4            -0.007988            -0.010733            -0.039674   \n",
       "\n",
       "   component_subst_346  component_subst_347  component_subst_348  \\\n",
       "0            -0.010731            -0.019460        -7.598296e-15   \n",
       "1             0.002259             0.001683         3.752899e-16   \n",
       "2            -0.032781            -0.008419        -2.440802e-15   \n",
       "3            -0.017705            -0.054497        -3.972924e-14   \n",
       "4            -0.007188            -0.013043        -2.007745e-14   \n",
       "\n",
       "   component_subst_349  component_subst_350  component_subst_351  \\\n",
       "0             0.002996            -0.030572             0.032757   \n",
       "1             0.011458            -0.090167             0.040158   \n",
       "2             0.086701             0.001882            -0.022658   \n",
       "3            -0.010847             0.507897            -0.225280   \n",
       "4             0.002017            -0.020616             0.022093   \n",
       "\n",
       "   component_subst_352  component_subst_353  component_subst_354  \\\n",
       "0            -0.117924            -0.032602            -0.020406   \n",
       "1            -0.023614             0.001869             0.023471   \n",
       "2             0.015917            -0.015541            -0.078269   \n",
       "3            -0.249869             0.069068             0.388470   \n",
       "4            -0.079684            -0.022042            -0.013824   \n",
       "\n",
       "   component_subst_355  component_subst_356  component_subst_357  \\\n",
       "0             0.087306            -0.079005            -0.093862   \n",
       "1             0.119790            -0.015523            -0.013074   \n",
       "2             0.012669             0.023067             0.056409   \n",
       "3             0.739868            -0.023540             0.100472   \n",
       "4             0.059159            -0.053644            -0.063787   \n",
       "\n",
       "   component_subst_358  component_subst_359  component_voies_0  \\\n",
       "0             0.096352             0.025074          -0.478575   \n",
       "1             0.084562            -0.124263          -0.478575   \n",
       "2             0.013456            -0.054886          -0.478575   \n",
       "3             0.640054            -0.979748          -0.478575   \n",
       "4             0.065557             0.017070          -0.478575   \n",
       "\n",
       "   component_voies_1  component_voies_2  component_voies_3  component_voies_4  \\\n",
       "0           -0.02909           0.040522           0.018684          -0.011735   \n",
       "1           -0.02909           0.040522           0.018684          -0.011735   \n",
       "2           -0.02909           0.040522           0.018684          -0.011735   \n",
       "3           -0.02909           0.040522           0.018684          -0.011735   \n",
       "4           -0.02909           0.040522           0.018684          -0.011735   \n",
       "\n",
       "   component_voies_5  component_voies_6  component_voies_7  \n",
       "0          -0.001166           0.004996          -0.008966  \n",
       "1          -0.001166           0.004996          -0.008966  \n",
       "2          -0.001166           0.004996          -0.008966  \n",
       "3          -0.001166           0.004996          -0.008966  \n",
       "4          -0.001166           0.004996          -0.008966  "
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train[FEATURES].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IV. Création du modèle prédictif"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Métrique MAPE\n",
    "\n",
    "La métrique MAPE n'étant pas disponible dans scikit-learn, nous la codons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Mean Absolute Percentage Error\n",
    "def mape_error(y_true, y_pred): \n",
    "    return np.mean(np.abs((y_true - y_pred) / y_true)) * 100\n",
    "\n",
    "from sklearn.metrics import make_scorer\n",
    "mape = make_scorer(mape_error, greater_is_better=False)\n",
    "# used in RandomizedSearchCV (scoring=mape) to optimize hyperparameters w.r.t. MAPE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Random Forest (benchmark)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Nous allons construire une Foret Aleatoire. Pour eviter le surapprentissage et estimer les performances de notre modèle nous allons utiliser le critère de validation croisée (cross-validation) - méthode k-fold. A 5-fold cross-validation means:\n",
    "- split the data into 5 parts\n",
    "- fit on 4-parts\n",
    "- test accuracy on the remaining part  \n",
    "\n",
    "This is repeated on all combinations to produce 5 estimates of the accuracy of the model using the current parameter setting. \n",
    "Typically the mean and standard deviation of the 5 scores is reported."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 Hyperparameters of the estimator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "parametersRF = {\n",
    "              'n_estimators': 50, \n",
    "              'n_jobs': -1, \n",
    "              'verbose': 1\n",
    "               }   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Running the model\n",
    "\n",
    "Here we run the model for the 1st time, without tuning the hyperparameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  42 tasks      | elapsed:   27.2s\n",
      "[Parallel(n_jobs=-1)]: Done  50 out of  50 | elapsed:   31.5s finished\n",
      "[Parallel(n_jobs=4)]: Done  42 tasks      | elapsed:    0.0s\n",
      "[Parallel(n_jobs=4)]: Done  50 out of  50 | elapsed:    0.0s finished\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fit in 31.737s\n",
      "42.9635133952\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  42 tasks      | elapsed:   26.9s\n",
      "[Parallel(n_jobs=-1)]: Done  50 out of  50 | elapsed:   31.6s finished\n",
      "[Parallel(n_jobs=4)]: Done  42 tasks      | elapsed:    0.0s\n",
      "[Parallel(n_jobs=4)]: Done  50 out of  50 | elapsed:    0.0s finished\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fit in 31.842s\n",
      "40.8263688728\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  42 tasks      | elapsed:   28.7s\n",
      "[Parallel(n_jobs=-1)]: Done  50 out of  50 | elapsed:   33.4s finished\n",
      "[Parallel(n_jobs=4)]: Done  42 tasks      | elapsed:    0.0s\n",
      "[Parallel(n_jobs=4)]: Done  50 out of  50 | elapsed:    0.0s finished\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fit in 33.723s\n",
      "36.1905394994\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  42 tasks      | elapsed:   29.7s\n",
      "[Parallel(n_jobs=-1)]: Done  50 out of  50 | elapsed:   34.7s finished\n",
      "[Parallel(n_jobs=4)]: Done  42 tasks      | elapsed:    0.0s\n",
      "[Parallel(n_jobs=4)]: Done  50 out of  50 | elapsed:    0.0s finished\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fit in 34.927s\n",
      "40.5758092328\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  42 tasks      | elapsed:   29.4s\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fit in 35.356s\n",
      "39.567119155\n",
      "*** MAPE Error : mean = 40.024670031 ; std = 2.2132864934\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=-1)]: Done  50 out of  50 | elapsed:   35.1s finished\n",
      "[Parallel(n_jobs=4)]: Done  42 tasks      | elapsed:    0.0s\n",
      "[Parallel(n_jobs=4)]: Done  50 out of  50 | elapsed:    0.0s finished\n"
     ]
    }
   ],
   "source": [
    "err = []\n",
    "n_folds = 5\n",
    "for train_index, test_index in KFold(train.shape[0], n_folds=n_folds):\n",
    "        \n",
    "    y = train['logprix'].values\n",
    "    X = train[FEATURES].values\n",
    "        \n",
    "    X_train, X_test = X[train_index], X[test_index]\n",
    "    y_train, y_test = y[train_index], y[test_index]\n",
    "        \n",
    "    clf = RandomForestRegressor(**parametersRF)\n",
    "    t0 = time.time()\n",
    "    clf.fit(X_train, y_train)\n",
    "    print \"Fit in %0.3fs\" % (time.time() - t0)\n",
    "    y_pred = clf.predict(X_test)\n",
    "    # ne pas oublier de reprendre l'exponentielle de la prédiction\n",
    "    curr_err = mape_error(np.exp(y_test), np.exp(y_pred))\n",
    "    err.append(curr_err)\n",
    "    print curr_err\n",
    "        \n",
    "print \"*** MAPE Error : mean =\", np.mean(err), '; std =', np.std(err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cela signifie que notre modèle (non optimisé) prédit les prix des medicaments avec environ 40% d’erreur en moyenne, avec 2% d'écart type.   \n",
    "Par exemple, si un médicament vaut réellement 10€, notre prédiction pourra etre de 14€ (ou 6€)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Showing the 50 most important predictors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0xbce8ba8>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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hTp26L3bz1hBFWwUhPyt0ypQpfPXVVzg4OFCrVi1atWpVKJM0n759+9K9e3dV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbf93d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "importance_df = pd.DataFrame(clf.feature_importances_, columns=[\"Importance\"], index=list(FEATURES)).sort_values(['Importance'], ascending = True)\n",
    "importance_df = importance_df.iloc[-50:]   # shows the 50 most important predictors\n",
    "importance_df.plot(kind='barh', title =\"Feature importances (Training data set)\", grid=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "'Type proc=procedure centralisee', nb_comprime and tx_rembours are the 3 features with the most predictive power for predicting the pricetag of drugs."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Split dataset into training and test set (80/20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.cross_validation import train_test_split\n",
    "X = train[FEATURES].values\n",
    "y = train['logprix'].values\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Choose estimator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "estimator = RandomForestRegressor(**parametersRF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Choose cross-validation iterator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.cross_validation import ShuffleSplit\n",
    "cv = ShuffleSplit(X_train.shape[0], n_iter=5, test_size=0.2, random_state=0)          # 5-fold cross-validation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Tune the hyperparameters (using RandomizedSearchCV)\n",
    "\n",
    "Guidelines for tuning a Random Forest algorithm:\n",
    "\n",
    "- **Number of trees**: the bigger the better. One way to evaluate and know when to stop is to monitor your error rate while building your forest (or any other evaluation criteria) and detect when it converges. One could do that on the learning set itself or, if available, on an independent test set. Here, we can plot the Out-of-bag error, see diagram below.\n",
    "\n",
    "- **Tree depth**: there are several ways to control how deep the trees are (limit the maximum depth, limit the number of nodes, limit the number of objects required to split, stop splitting if the split does not sufficiently improves the fit,...). Most of the time, it is recommended to prune (limit the depth of) the trees when dealing with noisy data, in order to avoid overfitting.\n",
    "\n",
    "- **Number of features** to test at each node: we can perform cross-validation with a wide range of values (including the recommended ones), and then plot a validation curve and be able to identify a maximum pointing out what is the best value for this parameter.\n",
    "\n",
    "\n",
    "Note on the bias-variance tradeoff: **deeper trees reduces the bias; more trees reduces the variance**.\n",
    "\n",
    "\n",
    "Applying the cross-validation iterator on the training set with the RandomizedSearchCV method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 5 folds for each of 10 candidates, totalling 50 fits\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best parameters set found on development set:\n",
      "-34.0403719999 {'n_estimators': 200, 'max_features': None, 'min_samples_leaf': 1}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.grid_search import RandomizedSearchCV\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "# specify parameters and distributions to sample from\n",
    "param_dist = {  'n_estimators'   : [200],\n",
    "                'max_features'   : [None, 'sqrt', 'log2'], \n",
    "                'min_samples_leaf':  [1, 3 , 30, 50]  # smaller leaf makes the model more prone to overfitting\n",
    "              }\n",
    "    \n",
    "# run randomized search\n",
    "n_iter_search = 10                # must be less than the number of combination of param_dist\n",
    "scoring_method = mape            # optimizes hyperparameters to minimize MAPE     (can try 'mean_squared_error' too)\n",
    "rf_random_search = RandomizedSearchCV(estimator=estimator, param_distributions=param_dist, scoring=scoring_method,\n",
    "                                      n_iter=n_iter_search, n_jobs=1, cv=cv, verbose=1)\n",
    "\n",
    "random_search = rf_random_search.fit(X_train, y_train)\n",
    "print \"Best parameters set found on development set:\"\n",
    "print random_search.best_score_, random_search.best_params_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above randomized search leads to the following optimized hyperparameters:\n",
    "{'n_estimators': 200, 'max_features': None, 'min_samples_leaf': 1} with a MAPE = 34%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "parametersRF_opt = {\n",
    "              'n_estimators': random_search.best_params_['n_estimators'], \n",
    "              'n_jobs': -1, \n",
    "              'verbose': 0, \n",
    "              'max_features': random_search.best_params_['max_features'],      \n",
    "              'min_samples_leaf': random_search.best_params_['min_samples_leaf']   \n",
    "             }  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plotting the learning curves (diagnosing Bias vs. Variance)\n",
    "\n",
    "Here we are plotting the training error and the cross-validation error as a function of the training set size (m). This approach will help to determine if our algorithm suffers from high bias or high variance, and then take the actions to improve the algorithm. See http://scikit-learn.org/stable/auto_examples/plot_learning_curve.html   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.learning_curve import learning_curve\n",
    "from sklearn import cross_validation\n",
    "\n",
    "def plot_learning_curve(estimator, title, X, y, ylim=None, cv=None, scoring=None,\n",
    "                        n_jobs=1, train_sizes=np.linspace(.1, 1.0, 5)):\n",
    "    \"\"\"\n",
    "    Generate a simple plot of the test and traning learning curve.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    estimator : object type that implements the \"fit\" and \"predict\" methods\n",
    "        An object of that type which is cloned for each validation.\n",
    "\n",
    "    title : string\n",
    "        Title for the chart.\n",
    "\n",
    "    X : array-like, shape (n_samples, n_features)\n",
    "        Training vector, where n_samples is the number of samples and\n",
    "        n_features is the number of features.\n",
    "\n",
    "    y : array-like, shape (n_samples) or (n_samples, n_features), optional\n",
    "        Target relative to X for classification or regression;\n",
    "        None for unsupervised learning.\n",
    "\n",
    "    ylim : tuple, shape (ymin, ymax), optional\n",
    "        Defines minimum and maximum yvalues plotted.\n",
    "\n",
    "    cv : integer, cross-validation generator, optional\n",
    "        If an integer is passed, it is the number of folds (defaults to 3).\n",
    "        Specific cross-validation objects can be passed, see\n",
    "        sklearn.cross_validation module for the list of possible objects\n",
    "\n",
    "    n_jobs : integer, optional\n",
    "        Number of jobs to run in parallel (default 1).\n",
    "    \"\"\"\n",
    "    plt.figure()\n",
    "    plt.title(title)\n",
    "    if ylim is not None:\n",
    "        plt.ylim(*ylim)\n",
    "    plt.xlabel(\"Training examples\")\n",
    "    plt.ylabel(\"Score: \" + str(scoring))\n",
    "    train_sizes, train_scores, test_scores = learning_curve(\n",
    "        estimator, X, y, cv=cv, n_jobs=n_jobs, train_sizes=train_sizes, scoring=scoring9)\n",
    "    train_scores_mean = np.mean(train_scores, axis=1) \n",
    "    train_scores_std = np.std(train_scores, axis=1)\n",
    "    test_scores_mean = np.mean(test_scores, axis=1) \n",
    "    test_scores_std = np.std(test_scores, axis=1)\n",
    "    plt.grid()\n",
    "\n",
    "    plt.fill_between(train_sizes, train_scores_mean - train_scores_std,\n",
    "                     train_scores_mean + train_scores_std, alpha=0.1,\n",
    "                     color=\"r\")\n",
    "    plt.fill_between(train_sizes, test_scores_mean - test_scores_std,\n",
    "                     test_scores_mean + test_scores_std, alpha=0.1, color=\"g\")\n",
    "    plt.plot(train_sizes, train_scores_mean, 'o-', color=\"r\",\n",
    "             label=\"Training score\")\n",
    "    plt.plot(train_sizes, test_scores_mean, 'o-', color=\"g\",\n",
    "             label=\"Cross-validation score\")\n",
    "\n",
    "    plt.legend(loc=\"best\")\n",
    "    \n",
    "    plt.gca().invert_yaxis()\n",
    "    \n",
    "    return plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[learning_curve] Training set sizes: [ 342 1113 1883 2654 3425]\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -   4.8s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  17.7s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  30.5s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  46.6s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set - 1.1min\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -   5.5s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  18.1s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  33.3s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set -  49.7s\n",
      "[CV] no parameters to be set .........................................\n",
      "[CV] ................................ no parameters to be set - 1.1min\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=1)]: Done  10 out of  10 | elapsed:  5.7min finished\n"
     ]
    },
    {
     "data": {
      "image/png": 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RlpZGy5atCQuLYPfuXTk+IN98czRvvfU6er0eb29vRo0aB8Dbb79FZORKNE3j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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc3e2b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "title = 'Learning Curves (RF with tuned hyperparameters)'    \n",
    "estimator = RandomForestRegressor(**parametersRF_opt)         # regressor with the tuned hyperparameters\n",
    "plot_learning_curve(estimator, title, X_train, y_train, \n",
    "                    ylim=(-100.0, 0.), cv=2, scoring=mape)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Determining the optimal number of trees: plotting the OOB error as a function of the number of trees\n",
    "\n",
    "The RandomForestRegressor is trained using bootstrap aggregation, where each new tree is fit from a bootstrap sample of the training observations z_i = (x_i, y_i). The out-of-bag (OOB) error is the average error for each z_i calculated using predictions from the trees that do not contain z_i in their respective bootstrap sample. This allows the RandomForestRegressor to be fit and validated whilst being trained.  \n",
    "The OOB error as a function of the number of trees is an estimate of the test set error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting for n_estimators =  10\n",
      "Fitting for n_estimators =  60\n",
      "Fitting for n_estimators =  110\n",
      "Fitting for n_estimators =  160\n",
      "Fitting for n_estimators =  210\n",
      "Fitting for n_estimators =  260\n",
      "Fitting for n_estimators =  310\n",
      "Fitting for n_estimators =  360\n",
      "Fitting for n_estimators =  410\n",
      "Fitting for n_estimators =  460\n"
     ]
    },
    {
     "data": {
      "image/png": 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7DxxH2sxrYNC37UmN2INXHtvYO9jOymMbK0/RM/709PSzPnhbFxtpwf+Kj6Go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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa2f53c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_OOB_curve(X, y, n_estimators):\n",
    "    \n",
    "    # see http://scikit-learn.org/stable/auto_examples/ensemble/plot_ensemble_oob.html\n",
    "    #Using the warm_start parameter to add trees 1 by 1 (or N by N) and monitor oob_score_ \n",
    "    forest = RandomForestRegressor(**parametersRF_opt)\n",
    "    \n",
    "    error_rate = []\n",
    "    for i in range(10, n_estimators, 50):\n",
    "        print 'Fitting for n_estimators = ', i\n",
    "        forest.set_params(warm_start=True, oob_score=True, n_estimators=i)\n",
    "        forest.fit(X, y)\n",
    "        oob_error = 1 - forest.oob_score_\n",
    "        error_rate.append((i, oob_error))  \n",
    "\n",
    "    plt.figure()\n",
    "    plt.title(\"OOB Error (Random Forest)\")\n",
    "    plt.xlabel(\"n_estimators\")\n",
    "    plt.ylabel(\"OOB error rate\")\n",
    "    plt.plot( *zip(*error_rate) ) #, 'x' , linewidth=2 )\n",
    "\n",
    "plot_OOB_curve(X_train, y_train, 500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It seems that 200 trees would be a good trade-off between accuracy and performance. However, it appears that the OOB keeps decreasing with the number of trees (even with n > 400). We might want to use a higher number of trees (n = 1000?) when training the algorithm for the final submission in order to increase as much as possible the accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a large gap between the training error and CV error, which means the learning algorithm is suffering from high variance (overfitting). Hence, we should try the following:\n",
    "- Getting more training data\n",
    "- Trying smaller sets of features\n",
    "- Trying to increase regularization (case of Neural Network, for example)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Determining the optimal tree depth: plotting the error as a function of the tree depth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.learning_curve import validation_curve\n",
    "\n",
    "def plot_validation_curve(estimator, title, X, y, param_name=None, param_range=None, ylim=None, cv=None, scoring=None,\n",
    "                        n_jobs=1, train_sizes=np.linspace(.1, 1.0, 5)):\n",
    "    '''Source:\n",
    "    http://scikit-learn.org/stable/auto_examples/model_selection/plot_validation_curve.html\n",
    "    #example-model-selection-plot-validation-curve-py'''\n",
    "\n",
    "    train_scores, test_scores = validation_curve(\n",
    "        estimator, X, y, param_name=param_name, param_range=param_range,\n",
    "        cv=cv, scoring=scoring, n_jobs=n_jobs, verbose=2)\n",
    "    train_scores_mean = np.mean(train_scores, axis=1)\n",
    "    train_scores_std = np.std(train_scores, axis=1)\n",
    "    test_scores_mean = np.mean(test_scores, axis=1)\n",
    "    test_scores_std = np.std(test_scores, axis=1)\n",
    "\n",
    "    if ylim is not None:\n",
    "        plt.ylim(*ylim)\n",
    "    plt.title(title)\n",
    "    plt.xlabel(param_name)\n",
    "    plt.ylabel(\"Score: \" + str(scoring))\n",
    "    plt.semilogx(param_range, train_scores_mean, label=\"Training score\", color=\"r\")\n",
    "    plt.fill_between(param_range, train_scores_mean - train_scores_std,\n",
    "                     train_scores_mean + train_scores_std, alpha=0.2, color=\"r\")\n",
    "    plt.semilogx(param_range, test_scores_mean, label=\"Cross-validation score\",\n",
    "                 color=\"g\")\n",
    "    plt.fill_between(param_range, test_scores_mean - test_scores_std,\n",
    "                     test_scores_mean + test_scores_std, alpha=0.2, color=\"g\")\n",
    "    plt.legend(loc=\"best\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=1)]: Done  20 out of  20 | elapsed: 14.0min finished\n"
     ]
    },
    {
     "data": {
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kqIkQ1U8KCglRMzy++uCcOXOYMWMG77zzDuPGjWPDhg1kZWVV6aRCCCGEqB0q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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110be860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "title = 'Validation Curves (RF with tuned hyperparameters)'    \n",
    "estimator = RandomForestRegressor(**parametersRF_opt)         # regressor with the tuned hyperparameters\n",
    "plot_validation_curve(estimator, title, X_train, y_train, param_name='min_samples_leaf', param_range = np.linspace(1, 50, 10), \n",
    "                    ylim=(-100.0, 0.), cv=2, scoring=mape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It appears that a fully developped tree, i.e. a tree with maximum depth (min_samples_leaf=1), leads to the best results (minimal error on the training and cross-validation sets)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Evaluation on the test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,\n",
       "           max_features=None, max_leaf_nodes=None, min_samples_leaf=1,\n",
       "           min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
       "           n_estimators=200, n_jobs=-1, oob_score=False, random_state=None,\n",
       "           verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimator = RandomForestRegressor(**parametersRF_opt)\n",
    "estimator.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAPE (test set) = 41.5795705826\n"
     ]
    }
   ],
   "source": [
    "print 'MAPE (test set) =', mape_error(np.exp(y_test), np.exp(estimator.predict(X_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# V. Calcul des prédictions et soumission sur Datascience.net"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As discussed above (OOB error diagram), we will use a higher number of trees for the final submission:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "parametersRF_opt = {\n",
    "              'n_estimators': 1000, \n",
    "              'n_jobs': -1, \n",
    "              'verbose': 0, \n",
    "              'max_features': None,      \n",
    "              'min_samples_leaf': 1   \n",
    "             }  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "clf = RandomForestRegressor(**parametersRF_opt)\n",
    "\n",
    "# On entraine de nouveau le modèle, cette fois sur l'intégralité des données du training set\n",
    "y = train['logprix'].values\n",
    "X = train[FEATURES].values\n",
    "clf.fit(X, y)\n",
    "\n",
    "# Puis on calcule les predictions sur le TEST dataset:\n",
    "FEATURES_TEST = FEATURES\n",
    "X_final_test = test[FEATURES_TEST].values\n",
    "predictions = np.exp(clf.predict(X_final_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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igUOhLtJAS1ulnsL8hmHJ3Dj8TI+Pb2zs2zk4zW1elwG3UFi4k61bza7z1gbq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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc3e2be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# representation graphique de la prediction du prix par rapport au vrai prix, pour le training set\n",
    "plt.scatter(train['prix'], np.exp(clf.predict(X)))\n",
    "plt.plot(train['prix'],train['prix'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAPE (test set) = 14.5250234772\n"
     ]
    }
   ],
   "source": [
    "print 'MAPE (test set) =', mape_error(np.exp(y_test), np.exp(clf.predict(X_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pd.DataFrame(predictions, index=test['id']).to_csv('soumission.csv', header=['prix'], sep = ';')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Puis finalement uploader le fichier `soumission.csv` sur [Datascience.net](www.datascience.net)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Saving the fitted model to a file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import cPickle as pickle \n",
    "pickle.dump(clf, open(\"best_model.pkl\", \"wb\"))\n",
    "#clf = pickle.load(open(\"best_model.pkl\", \"rb\"))"
   ]
  }
 ],
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