SP25862 SIMPGAME - Divisor Game

Alice and Bob are playing a game. There are n piles having stones. In one move, either player can choose a pile and replace it by two piles, both of which have number of stones more than one and less than the number of stones in the original pile. Moreover, the sizes of both the new piles should be divisors of the size of the original pile. Alice and bob alternate turns and Alice always goes first. The player unable to make a move loses. Assume that both the players play optimally.

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