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DK-GEORGMOHR 2023 Problem 1

    A frog jumps around on the integers on the number line. If it lands on an even number nn , it jumps to the number n2\frac{n}{2} . If it lands on an odd number nn , it jumps to the number n+5n + 5 . At some point it lands on the number 2525 . At which numbers may it have been three jumps ago?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2023 official paper, page 1.

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