ipl 2024 analysis (1).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cd872c11-797c-4c9f-ab33-c98619ce5006",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                          team  over        batter    bowler   non_striker  \\\n",
      "0  Royal Challengers Bengaluru     0       V Kohli  I Sharma  F du Plessis   \n",
      "1  Royal Challengers Bengaluru     0       V Kohli  I Sharma  F du Plessis   \n",
      "2  Royal Challengers Bengaluru     0  F du Plessis  I Sharma       V Kohli   \n",
      "3  Royal Challengers Bengaluru     0       V Kohli  I Sharma  F du Plessis   \n",
      "4  Royal Challengers Bengaluru     0       V Kohli  I Sharma  F du Plessis   \n",
      "\n",
      "   runs_batter  runs_extras  runs_total player_out wicket_kind fielders  \n",
      "0            0            0           0        NaN         NaN       []  \n",
      "1            1            0           1        NaN         NaN       []  \n",
      "2            1            0           1        NaN         NaN       []  \n",
      "3            0            0           0        NaN         NaN       []  \n",
      "4            2            0           2        NaN         NaN       []  \n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "deliveries_df = pd.read_csv(\"innings_deliveries.csv\")\n",
    "\n",
    "print(deliveries_df.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c4379cdb-c714-4c36-ac28-1cc847f07ac4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "# data preparation for run distribution per over \n",
    "run_distribution = deliveries_df.groupby(['team', 'over']).agg({'runs_total' : 'sum'}).reset_index()\n",
    "\n",
    "# plotting run distrbution per over  for both teams\n",
    "plt.figure(figsize=(14,6))\n",
    "sns.lineplot(data= run_distribution, x='over', y='runs_total', hue='team',marker='o')\n",
    "plt.title('Run Distribution Per Over')\n",
    "plt.xlabel('Over Number')\n",
    "plt.ylabel('Runs Scored')\n",
    "plt.xticks(range(0, 21)) #over number from 0 to 20\n",
    "plt.legend(title='Team')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d8bd92a5-bed2-4551-874f-8dd393fae209",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculating top scorers for each team\n",
    "top_scorers = deliveries_df.groupby(['team','batter']).agg({'runs_batter':'sum'}).reset_index().sort_values(by='runs_batter', ascending=False)\n",
    "\n",
    "plt.figure(figsize=(14,8))\n",
    "sns.barplot(data=top_scorers, x= 'runs_batter', y= 'batter',hue = 'team', dodge=False)\n",
    "plt.title('Top scorers from each team')\n",
    "plt.xlabel('total runs')\n",
    "plt.ylabel('Batter')\n",
    "plt.legend(title='team', loc='center right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bae85308-dce3-4576-ba97-519bbd9c78a2",
   "metadata": {},
   "source": [
    "bowlers analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "398a42ea-6300-4f2a-8fe3-e516e323c8aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# preparing data for bowling analysis\n",
    "deliveries_df['wickets_taken'] = deliveries_df['wicket_kind'].notna().astype(int)\n",
    "bowling_stats = deliveries_df.groupby(['team', 'bowler']).agg({'runs_total': 'sum', 'wickets_taken': 'sum', 'over':'nunique'}).reset_index()\n",
    "\n",
    "# calculating economy rate (total runs conceded / number of overs bowled)\n",
    "bowling_stats['economy_rate'] = bowling_stats['runs_total']/ bowling_stats['over']\n",
    "\n",
    "# sorting the data for bettr visualization \n",
    "bowling_stats_sorted = bowling_stats.sort_values(by='wickets_taken',ascending=False)\n",
    "\n",
    "#prepare the data fram for ploting\n",
    "bowling_stats_sorted['wicket_taken'] = deliveries_df['wicket_kind'].notna().astype(int)\n",
    "bowling_stats = deliveries_df.groupby(['team', 'bowler']).agg({'runs_total':'sum','wickets_taken':'sum','over':'nunique'}).reset_index()\n",
    "bowling_stats['economy_rate']= bowling_stats['runs_total']/bowling_stats['over']\n",
    "bowling_stats_sorted = bowling_stats.sort_values(by='wickets_taken',ascending=False)\n",
    "\n",
    "#create the plot\n",
    "fig, ax1 = plt.subplots(figsize = (14, 8))\n",
    "\n",
    "#box plot\n",
    "sns.barplot(data=bowling_stats_sorted,x='bowler',y='wickets_taken',hue= 'team',ax=ax1,alpha=0.6)\n",
    "ax1.set_ylabel('wickets taken')\n",
    "ax1.set_xlabel('bowler')\n",
    "ax1.set_title('bowling analysis: wickets and economy rate')\n",
    "ax1.legend(title='team', bbox_to_anchor=(1.05, 1),loc ='upper left')\n",
    "\n",
    "for item in ax1.get_xticklabels():\n",
    "    item.set_rotation(45)\n",
    "#line plot for wickets lost \n",
    "ax2 = ax1.twinx()\n",
    "sns.lineplot(data=bowling_stats_sorted, x= 'bowler',y='economy_rate',marker='o',ax=ax2,sort=False, color='black')\n",
    "ax2.set_ylabel('Economy Rate')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b1be858-4243-4e7a-935e-240bd4e670dc",
   "metadata": {},
   "source": [
    "analyze the type of dismissals apper in the match"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6c6e5090-7aae-487d-bdb2-8b2fb36628a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#counting dismissal type \n",
    "dismissal_types = deliveries_df['wicket_kind'].dropna().value_counts()\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "plt.pie(dismissal_types, labels=dismissal_types.index, autopct='%1.1f%%',startangle=140, colors=sns.color_palette(\"Set2\"))\n",
    "plt.title('type of dismissals')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fac716a-0040-4a34-a9f5-6767f0df855a",
   "metadata": {},
   "source": [
    "partnership analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d1b4bea0-6716-454c-969d-dcf7382589e1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#function to calculate partnerships\n",
    "def calculate_partnerships(df):\n",
    "    partnerships = []\n",
    "    current_partnership = {}\n",
    "    for i, row in df.iterrows():\n",
    "        if i  == 0 or (row['batter'] not in current_partnership.values()):\n",
    "            if current_partnership:\n",
    "                partnerships.append(current_partnership)\n",
    "            current_partnership = {\n",
    "                'team': row['team'],\n",
    "                'batter1': row['batter'],\n",
    "                'batter2': row['non_striker'],\n",
    "                'runs': 0,\n",
    "                'balls': 0\n",
    "                }\n",
    "            current_partnership['runs'] += row['runs_total']\n",
    "            current_partnership['balls'] += 1\n",
    "            if 'player_out' in row and pd.notna(row['player_out']):\n",
    "                if row['player_out'] == current_partnership['batter1'] or row['player_out'] == current_partnership['batter2']:\n",
    "                    partnerships.append(current_partnership)\n",
    "                    current_partnership = {}\n",
    "        \n",
    "        if current_partnership:\n",
    "             partnerships.append(current_partnership)\n",
    "        return partnerships\n",
    "\n",
    "partnerships_data = calculate_partnerships(deliveries_df)\n",
    "partnerships_df = pd.DataFrame(partnerships_data)\n",
    "\n",
    "significant_partnerships = partnerships_df[partnerships_df['runs'] >20]\n",
    "\n",
    "significant_partnerships = significant_partnerships.sort_values(by='runs', ascending=False)\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "sns.barplot(data=significant_partnerships, x='runs', y='batter1', hue='team', dodge=False)\n",
    "plt.title('significant batting partnerships')\n",
    "plt.xlabel('Runs Scored')\n",
    "plt.ylabel('Batter 1(Partnership Initiated)')\n",
    "plt.legend(title = 'team' )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2f08f5c3-4a17-41f7-be1a-0ae4bdaf0abd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# function to classify\n",
    "def classify_phase(over):\n",
    "    if over < 6:\n",
    "        return 'Powerplay'\n",
    "    elif over < 16: \n",
    "            return 'Middle'\n",
    "    else:\n",
    "      return 'Death'\n",
    "\n",
    "\n",
    "deliveries_df['phase'] = deliveries_df['over'].apply(classify_phase)\n",
    "\n",
    "phase_analysis = deliveries_df.groupby(['team', 'phase']).agg({'runs_total': 'sum','wickets_taken':'sum', 'over':'count'}).rename(columns={'over':'balls'}).reset_index()\n",
    "\n",
    "phase_analysis['run_rate'] = (phase_analysis['runs_total']/ phase_analysis['balls']) * 6\n",
    "\n",
    "fig, ax1 = plt.subplots(figsize=(12,8))\n",
    "\n",
    "sns.barplot(data=phase_analysis, x='phase', y='runs_total',hue='team', ax=ax1)\n",
    "ax1.set_title('Phase analysis: runs and wickets')\n",
    "ax1.set_ylabel('total runs')\n",
    "ax1.set_xlabel('match phase')\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "sns.lineplot(data=phase_analysis, x='phase',y='wickets_taken', hue='team',marker='o', ax=ax2,legend=False)\n",
    "ax2.set_ylabel('wickets lost')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b405a92-740b-48ec-817c-cdd162e26165",
   "metadata": {},
   "source": [
    "calculating strike rate of batters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2d49b44f-0fe5-43f8-8bef-efb4f307a457",
   "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>batter</th>\n",
       "      <th>runs_batter</th>\n",
       "      <th>balls_faced</th>\n",
       "      <th>strike_rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>J Fraser-McGurk</td>\n",
       "      <td>21</td>\n",
       "      <td>8</td>\n",
       "      <td>262.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>V Kohli</td>\n",
       "      <td>27</td>\n",
       "      <td>14</td>\n",
       "      <td>192.857143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>RM Patidar</td>\n",
       "      <td>52</td>\n",
       "      <td>34</td>\n",
       "      <td>152.941176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>KV Sharma</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>150.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>AR Patel</td>\n",
       "      <td>57</td>\n",
       "      <td>40</td>\n",
       "      <td>142.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>WG Jacks</td>\n",
       "      <td>41</td>\n",
       "      <td>30</td>\n",
       "      <td>136.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>C Green</td>\n",
       "      <td>32</td>\n",
       "      <td>24</td>\n",
       "      <td>133.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>MK Lomror</td>\n",
       "      <td>13</td>\n",
       "      <td>10</td>\n",
       "      <td>130.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>SD Hope</td>\n",
       "      <td>29</td>\n",
       "      <td>24</td>\n",
       "      <td>120.833333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>F du Plessis</td>\n",
       "      <td>6</td>\n",
       "      <td>7</td>\n",
       "      <td>85.714286</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             batter  runs_batter  balls_faced  strike_rate\n",
       "6   J Fraser-McGurk           21            8   262.500000\n",
       "18          V Kohli           27           14   192.857143\n",
       "13       RM Patidar           52           34   152.941176\n",
       "8         KV Sharma            6            4   150.000000\n",
       "0          AR Patel           57           40   142.500000\n",
       "19         WG Jacks           41           30   136.666667\n",
       "2           C Green           32           24   133.333333\n",
       "11        MK Lomror           13           10   130.000000\n",
       "15          SD Hope           29           24   120.833333\n",
       "4      F du Plessis            6            7    85.714286"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batter_stats = deliveries_df.groupby('batter').agg({'runs_batter': 'sum','over':'count'}).rename(columns={'over':'balls_faced'}).reset_index()\n",
    "\n",
    "batter_stats['strike_rate'] = (batter_stats['runs_batter']/batter_stats['balls_faced'])*100\n",
    "\n",
    "batter_stats_sorted = batter_stats.sort_values(by='strike_rate',ascending=False)\n",
    "\n",
    "batter_stats_sorted.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "768dbf1d-e14d-41cb-86be-33858bdb182a",
   "metadata": {},
   "source": [
    "top performance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a1407b6d-ffa4-4d52-9371-475ba1d07170",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batter_phase_stats = deliveries_df.groupby(['batter', 'phase']).agg({'runs_batter': 'sum','over':'count'}).rename(columns={'over':'balls_faced'}).reset_index()\n",
    "\n",
    "batter_phase_stats['strike_rate'] = (batter_phase_stats['runs_batter']/batter_phase_stats['balls_faced'])*100\n",
    "\n",
    "top_performers = batter_stats_sorted.head(5)['batter']\n",
    "batter_phase_stats_top = batter_phase_stats[batter_phase_stats['batter'].isin(top_performers)]\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "sns.barplot(data= batter_phase_stats_top, x='batter', y= 'strike_rate', hue='phase')\n",
    "plt.title('striker rate across different phase for top performers')\n",
    "plt.xlabel('batter')\n",
    "plt.ylabel('strike rate')\n",
    "plt.legend(title='match phase')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "494f2a56-e28e-4699-bd0d-035662f2f4e7",
   "metadata": {},
   "source": [
    "identifing turning point of matchs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8c11ff9d-1684-41d8-baec-8c323c689d43",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "deliveries_df['cumulative_runs'] = deliveries_df.groupby('team')['runs_total'].cumsum()\n",
    "deliveries_df['cumulative_wickets'] = deliveries_df.groupby('team')['wickets_taken'].cumsum()\n",
    "\n",
    "\n",
    "rcb_deliveries = deliveries_df[deliveries_df['team'] == 'royal challengers bengaluru']\n",
    "dc_deliveries = deliveries_df[deliveries_df['team'] == 'delhi capitals']\n",
    "\n",
    "rcb_deliveries['over_ball'] = rcb_deliveries['over'] + (rcb_deliveries.groupby('over').cumcount() + 1)/6\n",
    "dc_deliveries['over_ball'] = dc_deliveries['over'] + (dc_deliveries.groupby('over').cumcount() + 1)/6\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(14,8))\n",
    "\n",
    "\n",
    "ax.plot(rcb_deliveries['over_ball'], rcb_deliveries['cumulative_runs'], color = 'blue', label = 'rcb runs')\n",
    "ax.scatter(rcb_deliveries[rcb_deliveries['wickets_taken'] == 1]['over_ball'], rcb_deliveries[rcb_deliveries['wickets_taken'] == 1]['cumulative_runs'], color='blue', marker='X',s=100)\n",
    "\n",
    "ax.plot(dc_deliveries['over_ball'],dc_deliveries['cumulative_runs'], color= 'red',label='dc runs')\n",
    "ax.scatter(dc_deliveries[dc_deliveries['wickets_taken'] == 1]['over_ball'], dc_deliveries[dc_deliveries['wickets_taken'] ==1]['cumulative_runs'],color='red',marker='X',s=100)\n",
    "\n",
    "\n",
    "ax.set_title('cumulative runs with wickets for rcb and dc')\n",
    "ax.set_xlabel('over')\n",
    "ax.set_ylabel('cumulative runs')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce1acfeb-8de6-4d20-9907-e186b8166786",
   "metadata": {},
   "source": [
    "calculate the run rate for each teams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ab14b286-6fa1-4ff9-b590-8e0e397d6e15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "per_over_stats = deliveries_df.groupby(['team', 'over']).agg({'runs_total':  'sum' ,'wickets_taken': 'sum'}).reset_index()\n",
    "\n",
    "per_over_stats ['run_rate'] = (per_over_stats['runs_total']/6)\n",
    "\n",
    "rcb_per_over_stats = per_over_stats[per_over_stats['team'] =='royal challenger bengaluru']\n",
    "dc_per_over_stats = per_over_stats[per_over_stats['team'] =='delhi capitals']\n",
    "\n",
    "fig,(ax1, ax2) = plt.subplots(2,1, figsize=(14,8),sharex=True)\n",
    "\n",
    "ax1.plot(rcb_per_over_stats['over'], rcb_per_over_stats['run_rate'], marker='o', color='blue', label='rcb run rate')\n",
    "ax1.scatter(rcb_per_over_stats[rcb_per_over_stats['wickets_taken'] > 0]['over'], rcb_per_over_stats[rcb_per_over_stats['wickets_taken'] > 0]['run_rate'],color='red', s=100, label='wickets')\n",
    "ax1.set_title('rcb run rate per over')\n",
    "ax1.set_ylabel('run rate(runs per ball)')\n",
    "ax1.legend()\n",
    "\n",
    "ax2.plot(dc_per_over_stats['over'], dc_per_over_stats['run_rate'], marker='o', color='red', label='dc run rate')\n",
    "ax2.scatter(dc_per_over_stats[dc_per_over_stats['wickets_taken'] > 0]['over'], dc_per_over_stats[dc_per_over_stats['wickets_taken'] > 0]['run_rate'],color='blue', s=100, label='wickets')\n",
    "ax2.set_title('dc run rate per over')\n",
    "ax2.set_xlabel('over')\n",
    "ax2.set_ylabel('run rate(runs per ball)')\n",
    "ax2.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d8bc376e-07ee-4962-a839-9a903133758f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
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