Question: There are two players, player 1 and player 2. Each round, a player must pick up at least one stick from ONE pile. The last
There are two players, player 1 and player 2. Each round, a player must pick up at least one stick from ONE pile. The last person to pick up a stick wins. Assuming that both players are playing strategically, what is the winning strategy of the game regardless of the number of piles there are and the number of sticks in each pile? In other words, given any iteration of the game, how can you tell who is able to win and what is their strategy to win?
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