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This had me puzzled a bit as well. I solved it by interpreting it as though the comparison took place at the beginning of the month and any babies that were born during the month could not be counted until the start of the next month....which may be another way to get to the solution you both got to...
you have me puzzeled, you mentioned 41 iteration but how with that number of iteration you end up on date 2022-08-02 shouldn't that date mean something like 48 iterations (it is 4 years from starting date) , or alternatively with 41 iteration shouldn't you end around 2022-01-02?