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SMO 2019 Problem 2

    There are 315315 marbles divided into three piles of 81,11581, 115 and 119119 . In each move Ah Meng can either merge several piles into a single pile or divide a pile with an even number of marbles into 22 equal piles. Can Ah Meng divide the marbles into 315315 piles, each with a single marble?

    Dataset text AI-MO AoPS. Quoted with source.

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