King and a Lot of Rooks

Logic Level 1

What is the most number of white rooks that can be placed on a chessboard in such a way that a black king, also placed on the board, is not under attack?

The king may be placed anywhere on the 8×88\times 8 board.

Bonus: Generalize it for an m×nm\times n chessboard.

Mateo Matijasevick by Mateo Matijasevick
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