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@naruarjun
Created August 24, 2018 18:38
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# TASK1\n",
"So this is a classification model for Telco-Customer-Churn. So basically we have to predict whether churn is yes or no. The model is a simple linear SVM and achieved a accuracy of 100% on the test set."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"data = pd.read_csv(\"telcom_data/WA_Fn-UseC_-Telco-Customer-Churn.csv\")\n",
"#TotalCharges was in string format so converted it to numeric\n",
"data['TotalCharges'] = pd.to_numeric(data['TotalCharges'], errors='coerce')\n",
"#Dropped customerID as it is not relevant to classification\n",
"data = data.drop(['customerID'],axis=1)\n",
"#These are the features with a continuous domain, the rest all are discrete valued features\n",
"a = ['tenure','MonthlyCharges','TotalCharges']"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"#Some data in TotalCharges turns to NaN due to absence of data in those columns, \n",
"#this removes those rows from the dataset entirely\n",
"for i,j in enumerate(data['TotalCharges'].isnull()):\n",
" if j==True:\n",
" data = data.drop(i)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>gender</th>\n",
" <th>SeniorCitizen</th>\n",
" <th>Partner</th>\n",
" <th>Dependents</th>\n",
" <th>tenure</th>\n",
" <th>PhoneService</th>\n",
" <th>MultipleLines</th>\n",
" <th>InternetService</th>\n",
" <th>OnlineSecurity</th>\n",
" <th>OnlineBackup</th>\n",
" <th>DeviceProtection</th>\n",
" <th>TechSupport</th>\n",
" <th>StreamingTV</th>\n",
" <th>StreamingMovies</th>\n",
" <th>Contract</th>\n",
" <th>PaperlessBilling</th>\n",
" <th>PaymentMethod</th>\n",
" <th>MonthlyCharges</th>\n",
" <th>TotalCharges</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>1</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>29.85</td>\n",
" <td>29.85</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>34</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Mailed check</td>\n",
" <td>56.95</td>\n",
" <td>1889.50</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Mailed check</td>\n",
" <td>53.85</td>\n",
" <td>108.15</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Male</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>45</td>\n",
" <td>No</td>\n",
" <td>No phone service</td>\n",
" <td>DSL</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>One year</td>\n",
" <td>No</td>\n",
" <td>Bank transfer (automatic)</td>\n",
" <td>42.30</td>\n",
" <td>1840.75</td>\n",
" <td>No</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Female</td>\n",
" <td>0</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>2</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>Fiber optic</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>Month-to-month</td>\n",
" <td>Yes</td>\n",
" <td>Electronic check</td>\n",
" <td>70.70</td>\n",
" <td>151.65</td>\n",
" <td>Yes</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" gender SeniorCitizen Partner Dependents tenure PhoneService \\\n",
"0 Female 0 Yes No 1 No \n",
"1 Male 0 No No 34 Yes \n",
"2 Male 0 No No 2 Yes \n",
"3 Male 0 No No 45 No \n",
"4 Female 0 No No 2 Yes \n",
"\n",
" MultipleLines InternetService OnlineSecurity OnlineBackup \\\n",
"0 No phone service DSL No Yes \n",
"1 No DSL Yes No \n",
"2 No DSL Yes Yes \n",
"3 No phone service DSL Yes No \n",
"4 No Fiber optic No No \n",
"\n",
" DeviceProtection TechSupport StreamingTV StreamingMovies Contract \\\n",
"0 No No No No Month-to-month \n",
"1 Yes No No No One year \n",
"2 No No No No Month-to-month \n",
"3 Yes Yes No No One year \n",
"4 No No No No Month-to-month \n",
"\n",
" PaperlessBilling PaymentMethod MonthlyCharges TotalCharges \\\n",
"0 Yes Electronic check 29.85 29.85 \n",
"1 No Mailed check 56.95 1889.50 \n",
"2 Yes Mailed check 53.85 108.15 \n",
"3 No Bank transfer (automatic) 42.30 1840.75 \n",
"4 Yes Electronic check 70.70 151.65 \n",
"\n",
" Churn \n",
"0 No \n",
"1 No \n",
"2 Yes \n",
"3 No \n",
"4 Yes "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#A priliminary look at the dataset\n",
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"Int64Index: 7032 entries, 0 to 7042\n",
"Data columns (total 20 columns):\n",
"gender 7032 non-null object\n",
"SeniorCitizen 7032 non-null int64\n",
"Partner 7032 non-null object\n",
"Dependents 7032 non-null object\n",
"tenure 7032 non-null int64\n",
"PhoneService 7032 non-null object\n",
"MultipleLines 7032 non-null object\n",
"InternetService 7032 non-null object\n",
"OnlineSecurity 7032 non-null object\n",
"OnlineBackup 7032 non-null object\n",
"DeviceProtection 7032 non-null object\n",
"TechSupport 7032 non-null object\n",
"StreamingTV 7032 non-null object\n",
"StreamingMovies 7032 non-null object\n",
"Contract 7032 non-null object\n",
"PaperlessBilling 7032 non-null object\n",
"PaymentMethod 7032 non-null object\n",
"MonthlyCharges 7032 non-null float64\n",
"TotalCharges 7032 non-null float64\n",
"Churn 7032 non-null object\n",
"dtypes: float64(2), int64(2), object(16)\n",
"memory usage: 1.1+ MB\n"
]
}
],
"source": [
"data.info()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7f47a6aa8d30>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7f47a5dd6b00>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7f47a6a0ee10>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7f47a6a2c390>]],\n",
" dtype=object)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x1440 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#A histogram of all the numeric columns in the dataset, this helps us get an \n",
"#idea of the range and magnitude of cvalues in each bucket\n",
"df_num = data.select_dtypes(include = ['float64', 'int64'])\n",
"df_num.hist(figsize=(16, 20), bins=50, xlabelsize=8, ylabelsize=8)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 540x540 with 12 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#A Pairplot of all continuous domain features with respect to each other\n",
"#We can see clear lines forming which might indicate that linear regression or a svm should be enough to classify this \n",
"#dataset\n",
"import seaborn as sns; sns.set(style=\"ticks\",color_codes=True)\n",
"df1 = data[['tenure','MonthlyCharges','TotalCharges']]\n",
"df1.head()\n",
"#iris = sns.load_dataset(\"iris\")\n",
"g = sns.pairplot(df1)\n",
"# f, ax = plt.subplots(1,3,figsize=(8,4))\n",
"# vis1 = sns.distplot(data[\"tenure\"],bins=10, ax= ax[0][0])\n",
"# vis2 = sns.distplot(data[\"MonthlyCharges\"],bins=10, ax=ax[0][1])\n",
"# vis3 = sns.distplot(data[\"TotalCharges\"],bins=10, ax=ax[0][2])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x720 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#These are boxplots from which we get a mean and variance of the data\n",
"#So this basically helps us secure a confidence threshold, so the smaller the box\n",
"#More sure we are that the a value there will most probably lkie in that category and vice-versa\n",
"#These are box plots of every continuous domained feature with the churn\n",
"import numpy as np\n",
"f, ax = plt.subplots(1,3,figsize=(20,10))\n",
"#new_df = data.select_dtypes([np.number])\n",
"#a = new_df.columns.values\n",
"a = ['tenure','MonthlyCharges','TotalCharges']\n",
"vis5 = []\n",
"i=0\n",
"j=0\n",
"for column in a:\n",
" sns.boxplot(data = data, x = 'Churn', y = column ,ax = ax[i])\n",
" i=i+1\n",
" if i==3:\n",
" break\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 14400x7200 with 64 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#These are box plots of every continuous feature with every discontinuous feature in the dataset.\n",
"#The size is small as this is all my laptop can render.\n",
"#No great is insight is gained from this though\n",
"i=0\n",
"j=0\n",
"f, ax = plt.subplots(8,8,figsize=(200,100))\n",
"for column in data:\n",
" if column in a:\n",
" continue\n",
" else:\n",
" for column2 in a:\n",
" sns.boxplot(data = data, x = column, y = column2,ax = ax[i][j])\n",
" j=j+1\n",
" if j==8:\n",
" i=i+1\n",
" j=0"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#A Correlation vector of the three continuous features in matshow form\n",
"new_df = data[a]\n",
"plt.matshow(new_df.corr())\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>tenure</th>\n",
" <th>MonthlyCharges</th>\n",
" <th>TotalCharges</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>tenure</th>\n",
" <td>1.000000</td>\n",
" <td>0.246862</td>\n",
" <td>0.825880</td>\n",
" </tr>\n",
" <tr>\n",
" <th>MonthlyCharges</th>\n",
" <td>0.246862</td>\n",
" <td>1.000000</td>\n",
" <td>0.651065</td>\n",
" </tr>\n",
" <tr>\n",
" <th>TotalCharges</th>\n",
" <td>0.825880</td>\n",
" <td>0.651065</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" tenure MonthlyCharges TotalCharges\n",
"tenure 1.000000 0.246862 0.825880\n",
"MonthlyCharges 0.246862 1.000000 0.651065\n",
"TotalCharges 0.825880 0.651065 1.000000"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#This is the matrix in numbers, the higher the value, the more they are correlated\n",
"#Tenure is strongly correlated to TotalCharges\n",
"new_df.corr()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"data['Churn'] = data['Churn'].map({'Yes': 1, 'No': 0})"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Partner'].nunique()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"#One hot encoding the data for training\n",
"b = data.columns.values\n",
"list_col = []\n",
"for i in [x for x in b if x not in a]:\n",
" list_col.append(i)\n",
"#list_col.append('SeniorCitizen')\n",
"df_final = pd.get_dummies(data, columns=list_col)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>tenure</th>\n",
" <th>MonthlyCharges</th>\n",
" <th>TotalCharges</th>\n",
" <th>gender_Female</th>\n",
" <th>gender_Male</th>\n",
" <th>SeniorCitizen_0</th>\n",
" <th>SeniorCitizen_1</th>\n",
" <th>Partner_No</th>\n",
" <th>Partner_Yes</th>\n",
" <th>Dependents_No</th>\n",
" <th>...</th>\n",
" <th>Contract_One year</th>\n",
" <th>Contract_Two year</th>\n",
" <th>PaperlessBilling_No</th>\n",
" <th>PaperlessBilling_Yes</th>\n",
" <th>PaymentMethod_Bank transfer (automatic)</th>\n",
" <th>PaymentMethod_Credit card (automatic)</th>\n",
" <th>PaymentMethod_Electronic check</th>\n",
" <th>PaymentMethod_Mailed check</th>\n",
" <th>Churn_0</th>\n",
" <th>Churn_1</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>29.85</td>\n",
" <td>29.85</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>34</td>\n",
" <td>56.95</td>\n",
" <td>1889.50</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</td>\n",
" <td>1</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>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2</td>\n",
" <td>53.85</td>\n",
" <td>108.15</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>45</td>\n",
" <td>42.30</td>\n",
" <td>1840.75</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2</td>\n",
" <td>70.70</td>\n",
" <td>151.65</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>8</td>\n",
" <td>99.65</td>\n",
" <td>820.50</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>22</td>\n",
" <td>89.10</td>\n",
" <td>1949.40</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</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",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>10</td>\n",
" <td>29.75</td>\n",
" <td>301.90</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>28</td>\n",
" <td>104.80</td>\n",
" <td>3046.05</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>...</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>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>62</td>\n",
" <td>56.15</td>\n",
" <td>3487.95</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>...<
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