Question 32
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 $k$.
(Two rooks attack each other if they are in the same row or column and no rooks are between them.)
(Two rooks attack each other if they are in the same row or column and no rooks are between them.)