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IL-GROSSMAN 1995 Problem 2

    Two players play a game on an infinite board that consists of unit squares. Player II chooses a square and marks it with OO . Then player IIII chooses another square and marks it with XX . They play until one of the players marks a whole row or a whole column of five consecutive squares, and this player wins the game. If no player can achieve this, the result of the game is a tie. Show that player IIII can prevent player II from winning.

    Dataset text AI-MO AoPS. Quoted with source.

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