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MathNet 2001 — Part 01 Question 95

Math Olympiad Vault · MathNet 2001 — Part 01

Question 95

Andraž and Breda cut two long strips of length $a$ and $b$ from the newspaper in order to play with them. In this game, the player on his turn cuts a piece of length $d$ from any strip. The game is lost by the first player who cannot cut off a piece of length $d$. As a cavalier, Andraž leaves it to Breda to start the game. Find out how the lengths of the ribbons affect who wins.