HMMT 2025 T4
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- Answer
Jerry places at most one rook in each cell of a grid of cells. A rook attacks another rook if the two rooks are in the same row or column and there are no other rooks between them.
Determine, with proof, the maximum number of rooks Jerry can place on the grid such that no rook attacks 4 other rooks.
Dataset text NuminaMath olympiads. Quoted with source.
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