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MathNet 2026 — Part 04 Question 12

Math Olympiad Vault · MathNet 2026 — Part 04

Question 12

We put 23 matches on a table and 2 players play a game: each, in turn, withdraws between 1 and 4 matches (included). Whoever takes the last wins. Is there a winning strategy for one of the two? A winning strategy is a way of playing that allows one of the two to win no matter how their opponent plays.