我开发了下面的代码来检查三个人的组是否同时连接

import pandas as pd
from itertools import combinations

data = {
    'User': ['Esther','Jonh', 'Ann', 'Alex', 'Jonh', 'Alex', 'Ann', 'Beatrix'],
    'InitialTime': ['01/01/2023  00:00:00','01/01/2023  00:00:00', '01/01/2023  00:00:05', '01/01/2023  00:00:07', '01/01/2023  00:00:12', '01/01/2023  00:00:14', '01/01/2023  00:00:15', '01/01/2023  00:00:16'],
    'FinalTime': ['01/01/2023  00:10:00','01/01/2023  00:00:10', '01/01/2023  00:00:12', '01/01/2023  00:00:12','01/01/2023  00:00:16', '01/01/2023  00:00:16', '01/01/2023  00:00:17', '01/01/2023  00:00:17']
}
df=pd.DataFrame(data)

def calculate_overlapped_time(df):
    df['InitialTime'] = pd.to_datetime(df['InitialTime'], format='%d/%m/%Y %H:%M:%S')
    df['FinalTime'] = pd.to_datetime(df['FinalTime'], format='%d/%m/%Y %H:%M:%S')

    overlapped_time = {}

    for i, row_i in df.iterrows():
        for j, row_j in df.iterrows():
            for k, row_k in df.iterrows():
                if i != j and i != k and j != k:
                    initial_time = max(row_i['InitialTime'], row_j['InitialTime'], row_k['InitialTime'])
                    final_time = min(row_i['FinalTime'], row_j['FinalTime'], row_k['FinalTime'])
                    superposicion = max(0, (final_time - initial_time).total_seconds())

                    clave = f"{row_i['User']}-{row_j['User']}-{row_k['User']}"
                    if clave not in overlapped_time:
                        overlapped_time[clave] = 0
                    overlapped_time[clave] += superposicion

    results = pd.DataFrame(list(overlapped_time.items()), columns=['Group', 'OverlappingTime'])
    results['OverlappingTime'] = results['OverlappingTime'].astype(int)

    return results

results_df = calculate_overlapped_time(df)

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我想计算大约10人一组的循环时间，因此，有这么多重叠循环的代码变得不切实际。
有没有人能告诉我，是否有一种替代方案，使这段代码更具可扩展性，能够找到更大规模的组，而无需for循环？