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MathNet 2026 — Part 08 Question 41

Math Olympiad Vault · MathNet 2026 — Part 08

Question 41

Winnie-the-Pooh and Piglet play the following game. There is a 15-inch-long stick. By his first move, Piglet breaks it into two pieces, then the players in turn break one of the existing pieces into two. The rules are that the resulting pieces must have integer length (in inches) and can't be 1-inch-long. The player who can't make a move loses. Who has a winning strategy?