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TUYMAADA 2022 J1

  • Junior

Arnim and Brentano have a little vase with 15001500 candies on the table and a huge sack with spare candies under the table. They play a game taking turns, Arnim begins . At each move a player can either eat 77 candies or take 66 candies from under the table and add them to the vase. A player cannot go under the table in two consecutive moves. A player is declared the winner if he leaves the vase empty. In any other case, if a player cannot make a move in his turn, the game is declared a tie. Is there a winning strategy for one of the players?

Dataset text AI-MO AoPS. Quoted with source.

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