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Omni-MATH / On an 8×8 chessboard, 6 black rooks and k white rooks are placed on different cells so that each rook only attacks rooks of the opposite color. Compute the maximum possible value o…

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problem

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.
Plain-text mathematical notation (without MathML)
On an 8×8 chessboard, 6 black rooks and k white rooks are placed on different cells so that each rook only attacks rooks of the opposite color. Compute the maximum possible value of k.
Original LaTeX notation
On an $8 \times 8$ chessboard, 6 black rooks and $k$ white rooks are placed on different cells so that each rook only attacks rooks of the opposite color. Compute the maximum possible value of $k$.

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