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MathNet 2021 — Part 01 Question 73

Math Olympiad Vault · MathNet 2021 — Part 01

Question 73

Aerith and Bob play a game where they start with a row of 20 squares, and take turns crossing out one of the squares. The game ends when there are two squares left. Aerith wins if the two remaining squares are next to each other, and Bob wins if they are not next to each other.

a) If Aerith goes first, who has a winning strategy?

b) What if Bob goes first?