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MathNet 2016-part-05 — 184 problems (EN–VI) Question 160

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 160

Zola and Ron play a game by alternately moving a single ten cent coin on a circular board. The game starts with the ten cent coin already on the board as shown. A player may move the coin either clockwise one position or one position toward the centre, but cannot move to a position that has been previously occupied.

The last person who is able to move wins the game.

If Zola starts, which player can play in a way that guarantees a win?

Explain this player's winning strategy.