对于给定的键，如何在Pandas中测试重叠的日期范围？

import pandas as pd

# 创建一个包含日期范围的DataFrame
df = pd.DataFrame({
    'start_date': pd.to_datetime(['2022-01-01', '2022-02-01', '2022-03-01']),
    'end_date': pd.to_datetime(['2022-01-15', '2022-02-15', '2022-03-15'])
})

# 定义一个给定的键
given_start_date = pd.to_datetime('2022-01-10')
given_end_date = pd.to_datetime('2022-01-20')

# 使用overlaps()函数测试重叠的日期范围
overlap_mask = df[['start_date', 'end_date']].apply(lambda x: given_start_date <= x['end_date'] and given_end_date >= x['start_date'], axis=1)

# 打印结果
print(overlap_mask)