olymmath

HMMT November 2023 E5

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On an 8×88 \times 8 chessboard, 6 black rooks and kk white rooks are placed on different cells so that each rook only attacks rooks of the opposite color. Compute the maximum possible value of kk. (Two rooks attack each other if they are in the same row or column and no rooks are between them.)

Dataset text NuminaMath olympiads. Quoted with source.

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