King and a Lot of Rooks

Logic Level 1

What is the biggest 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? You can place the King wherever you think is more profitable.

Bonus: Generalize it for a \(m\times n\) chessboard.


This is the seventh problem of the set Look after the King!
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