Placing rooks on the table is a commonly known problem. What about "short rooks" (they behave in the same manner, but on distance less or equal to 2. I've noticed that splitting the board into 5x5 smaller ones and using the classical rook placing might help, but knowing the maximum number will allow me to construct a good placement.
2026-03-26 17:36:50.1774546610
How many short rooks can be placed on a chessboard
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As seen here, it's possible to place $22$. It's not hard to prove that this is optimal.