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TOT 152 1987 Autumn J3 game, winmer chooses 1987

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April 19, 2020
combinatoricsgamegame strategy

Problem Statement

In a game two players alternately choose larger natural numbers. At each turn the difference between the new and the old number must be greater than zero but smaller than the old number. The original number is 2. The winner is considered to be the player who chooses the number 19871987. In a perfect game, which player wins?