Wine quality.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "_cell_guid": "87c7b371-53b1-4d4d-bfbd-373d2b84b33a",
    "_uuid": "da5343fb3f6b3942909c94bf8e2add04fd3ff1a3"
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import confusion_matrix, classification_report,accuracy_score\n",
    "from sklearn.preprocessing import StandardScaler, LabelEncoder\n",
    "from sklearn.model_selection import train_test_split, cross_val_score\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "_cell_guid": "800f9ff4-79bf-4785-9569-23e1d9b9b03b",
    "_uuid": "07c8409e4eccd80507d9846e8cc70ea42e58cbe6"
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv('winequality-red.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "_cell_guid": "019cbcee-6cb2-478c-922b-ccebe4962769",
    "_uuid": "45ff42953e9082cd55612a4774408cc97a05fb11"
   },
   "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>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.098</td>\n",
       "      <td>25.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>0.9968</td>\n",
       "      <td>3.20</td>\n",
       "      <td>0.68</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.04</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.092</td>\n",
       "      <td>15.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.9970</td>\n",
       "      <td>3.26</td>\n",
       "      <td>0.65</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.2</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.075</td>\n",
       "      <td>17.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.9980</td>\n",
       "      <td>3.16</td>\n",
       "      <td>0.58</td>\n",
       "      <td>9.8</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "0            7.4              0.70         0.00             1.9      0.076   \n",
       "1            7.8              0.88         0.00             2.6      0.098   \n",
       "2            7.8              0.76         0.04             2.3      0.092   \n",
       "3           11.2              0.28         0.56             1.9      0.075   \n",
       "4            7.4              0.70         0.00             1.9      0.076   \n",
       "\n",
       "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "0                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "1                 25.0                  67.0   0.9968  3.20       0.68   \n",
       "2                 15.0                  54.0   0.9970  3.26       0.65   \n",
       "3                 17.0                  60.0   0.9980  3.16       0.58   \n",
       "4                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "\n",
       "   alcohol  quality  \n",
       "0      9.4        5  \n",
       "1      9.8        5  \n",
       "2      9.8        5  \n",
       "3      9.8        6  \n",
       "4      9.4        5  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "_cell_guid": "704f4830-5804-436d-9b78-6ca00f5ae510",
    "_uuid": "af141503385967f92d409c5e111e2724b4c9636f"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1599 entries, 0 to 1598\n",
      "Data columns (total 12 columns):\n",
      " #   Column                Non-Null Count  Dtype  \n",
      "---  ------                --------------  -----  \n",
      " 0   fixed acidity         1599 non-null   float64\n",
      " 1   volatile acidity      1599 non-null   float64\n",
      " 2   citric acid           1599 non-null   float64\n",
      " 3   residual sugar        1599 non-null   float64\n",
      " 4   chlorides             1599 non-null   float64\n",
      " 5   free sulfur dioxide   1599 non-null   float64\n",
      " 6   total sulfur dioxide  1599 non-null   float64\n",
      " 7   density               1599 non-null   float64\n",
      " 8   pH                    1599 non-null   float64\n",
      " 9   sulphates             1599 non-null   float64\n",
      " 10  alcohol               1599 non-null   float64\n",
      " 11  quality               1599 non-null   int64  \n",
      "dtypes: float64(11), int64(1)\n",
      "memory usage: 150.0 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a1f43d4a8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 7200x5040 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(100,70))\n",
    "sns.set(font_scale=5)\n",
    "plt.subplot(331)\n",
    "plt.title(\"Quality vs Fixed Acidity\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'fixed acidity', data = df)\n",
    "\n",
    "plt.subplot(332)\n",
    "plt.title(\"Quality vs Volatile Acidity\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'volatile acidity', data = df)\n",
    "\n",
    "plt.subplot(333)\n",
    "plt.title(\"Quality vs Citric acid\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'citric acid', data = df)\n",
    "\n",
    "plt.subplot(334)\n",
    "plt.title(\"Quality vs Residual sugar\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'residual sugar', data = df)\n",
    "\n",
    "plt.subplot(335)\n",
    "plt.title(\"Quality vs Chlorides\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'chlorides', data = df)\n",
    "\n",
    "plt.subplot(336)\n",
    "plt.title(\"Quality vs free SO2\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'free sulfur dioxide', data = df)\n",
    "\n",
    "plt.subplot(337)\n",
    "plt.title(\"Quality vs total SO2\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'total sulfur dioxide', data = df)\n",
    "\n",
    "plt.subplot(338)\n",
    "plt.title(\"Quality vs Sulphates\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'sulphates', data = df)\n",
    "\n",
    "plt.subplot(339)\n",
    "plt.title(\"Quality vs alcohol\",fontsize=70)\n",
    "sns.barplot(x = 'quality', y = 'alcohol', data = df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "_cell_guid": "33e1c5c0-a65a-4918-8d94-db8e4c521d50",
    "_uuid": "3f082340d1b157391052f0fa20a44aa0105ce987"
   },
   "outputs": [],
   "source": [
    "bins = (2, 6.5, 8)\n",
    "classes = ['bad','good']\n",
    "df['quality'] = pd.cut(df['quality'], bins = bins, labels = classes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "_cell_guid": "21a15507-cc97-4c40-835b-51fd79f7cdd9",
    "_uuid": "87127b3c5e9493a9364b3c63401ddb11a51373a1"
   },
   "outputs": [],
   "source": [
    "label_quality = LabelEncoder()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "_cell_guid": "f4c3a886-4b1f-4533-a660-b7ffb66376c2",
    "_uuid": "a592e2b8ece55e8d5928241eb5b9188226a725bf"
   },
   "outputs": [],
   "source": [
    "df['quality'] = label_quality.fit_transform(df['quality'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "_cell_guid": "faa36f65-7e80-44d7-a4f8-10e482cec684",
    "_uuid": "65a97517331f835cade698b594a7376ea7778eeb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1382\n",
       "1     217\n",
       "Name: quality, dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['quality'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## So 0 indicates bad and 1 indicates good"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "_cell_guid": "2fe7339e-837e-48c0-b988-a36c89632844",
    "_uuid": "d2a4c7e14dc6b8faa31efd1fcbe4f61b80a7d3e1"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a28073080>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,7))\n",
    "sns.set(font_scale=3)\n",
    "plt.title(\"Quality vs Count\",fontsize=30)\n",
    "sns.countplot(df['quality'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        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>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.098</td>\n",
       "      <td>25.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>0.9968</td>\n",
       "      <td>3.20</td>\n",
       "      <td>0.68</td>\n",
       "      <td>9.8</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.04</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.092</td>\n",
       "      <td>15.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.9970</td>\n",
       "      <td>3.26</td>\n",
       "      <td>0.65</td>\n",
       "      <td>9.8</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.2</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.075</td>\n",
       "      <td>17.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.9980</td>\n",
       "      <td>3.16</td>\n",
       "      <td>0.58</td>\n",
       "      <td>9.8</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "0            7.4              0.70         0.00             1.9      0.076   \n",
       "1            7.8              0.88         0.00             2.6      0.098   \n",
       "2            7.8              0.76         0.04             2.3      0.092   \n",
       "3           11.2              0.28         0.56             1.9      0.075   \n",
       "4            7.4              0.70         0.00             1.9      0.076   \n",
       "\n",
       "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "0                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "1                 25.0                  67.0   0.9968  3.20       0.68   \n",
       "2                 15.0                  54.0   0.9970  3.26       0.65   \n",
       "3                 17.0                  60.0   0.9980  3.16       0.58   \n",
       "4                 11.0                  34.0   0.9978  3.51       0.56   \n",
       "\n",
       "   alcohol  quality  \n",
       "0      9.4        0  \n",
       "1      9.8        0  \n",
       "2      9.8        0  \n",
       "3      9.8        0  \n",
       "4      9.4        0  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "_cell_guid": "ba89712a-ad66-4a92-9214-4e35c3802d59",
    "_uuid": "b893deb26bb309c914de12aadf9ad8437deb8358"
   },
   "outputs": [],
   "source": [
    "X = df.drop('quality', axis = 1)\n",
    "Y = df['quality']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "_cell_guid": "d7703d9a-3397-4c42-9b38-6f341cac1cde",
    "_uuid": "bdfc0f6ba146f947f265fd493e8327366fdb5c9a"
   },
   "outputs": [],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.2, random_state = 21)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "_cell_guid": "cef31289-9cec-4ab1-afea-2ff34c36fec1",
    "_uuid": "ca68209bcd596b3cfcaf42837e4a6e49b6c12974"
   },
   "outputs": [],
   "source": [
    "sc = StandardScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "_cell_guid": "705b8e8a-a6d3-4e93-8b53-7c677b5b88c4",
    "_uuid": "7878194b0c4935904c68a88a91e18f9bbbabbda7"
   },
   "outputs": [],
   "source": [
    "X_train = sc.fit_transform(X_train)\n",
    "X_test = sc.fit_transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_cell_guid": "0a12868b-8780-43b9-ae70-4c849407aac6",
    "_uuid": "093572f70cda59063611c1c888974e6a863ec7ef"
   },
   "source": [
    "## Random Forest Classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "_cell_guid": "f7d2ca14-40fa-4b7c-b902-d47f09214c75",
    "_uuid": "4c2c2a071bde3b44adf031a6807f51b47f8b5eaa"
   },
   "outputs": [],
   "source": [
    "RF = RandomForestClassifier(n_estimators=100)\n",
    "RF.fit(X_train, Y_train)\n",
    "pred_RF = RF.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "_cell_guid": "1cc15e56-0589-4fa3-a4f1-6f5e7b5547b2",
    "_uuid": "61e8a79a7db4fef289b8d4e3b3dd8e1c01756697"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "90.0\n"
     ]
    }
   ],
   "source": [
    "pred1 = accuracy_score(Y_test,pred_RF)\n",
    "print(pred1*100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "_cell_guid": "84334dbd-d36c-4650-87ab-d3e8f73be63c",
    "_uuid": "0fd8c7cd7741be25fd0d5f56d5711e8aaf44ac0f"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm1=confusion_matrix(Y_test, pred_RF)\n",
    "ax1 = sns.heatmap(cm1,annot=True)\n",
    "ax1.set(xlabel='predict', ylabel='true')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "LR = LogisticRegression().fit(X_train,Y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "logistic regression accuracy score:  88.75\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred_LR = LR.predict(X_test)\n",
    "cm2 = confusion_matrix(Y_test,pred_LR)\n",
    "ax2 = sns.heatmap(cm2,annot=True)\n",
    "ax2.set(xlabel='predict', ylabel='true')\n",
    "pred2 = accuracy_score(Y_test,pred_LR)\n",
    "print(\"logistic regression accuracy score: \",pred2*100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
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