How to calculate the week number so that a week number does not overlap with two months in pandas?

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How to calculate the week number so that a week number does not overlap with two months in pandas? I want to create a new variable in which the weeks are assigned but i don't want the week to overlap between 2 months. So suppose in Jan'23 week 5 has 30,31 and the rest from Feb 1,2,3 and so on. Jan 30,31 should be assigned week5 and the dates from Feb as week6

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