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SMO 2019 Junior Round 2 Question 2

SMO · SMO 2019 Junior Round 2

Question 2

There are 315 marbles divided into three piles of 81, 115 and 119. 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 2 equal piles. Can Ah Meng divide the marbles into 315 piles, each with a single marble?