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OPM 2021 Problem 1

    Joana divided 365365 by all integers from 11 to 365365 and added all the remainders. Then she divided 366366 by all the integers from 11 to 366366 and also added all the remainders. Which of the two sums is greater and what is the difference between them?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Portuguese Mathematical Olympiad 2021 official paper, page 1.

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