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!
by
Mateo Matijasevick