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MathNet 2016-part-06 — 184 problems (EN–VI) Question 141

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 141

Number $2016$ is written on the board. Olesya and Andriy are playing a game: they take turns (Olesya is the first to start) to reduce the number on the board by an integer not exceeding the number of the move (on the first move Olesya must reduce the number by $1$, Andriy, in his turn, by $1$ or $2$, then Olesya by $1$, $2$ or $3$, etc.). The winner is the first one to be able to write number $0$ on the board. Who wins with the right game of both opponents?

(Oleksiy Piskun)