Threatened Rooks
Discrete Mathematics
Level
5
Find the largest number of rooks that can be placed in a \(3000 \times 3000\) chessboard in such a way that each rook is threatened by no more than one rook.
Details and Assumptions:
- Rooks can attack in any range but can only attack in a horizontal or vertical direction.
- A rook is considered to be "threatened" if another rook can attack it.
by
Sean Ty