A short-sighted rook is a rook that attacks all squares in the same column and in the same row for which he can not go more than 60-steps.
What is the maximal amount of short-sighted rooks that don't attack each other that can be put on a 100×100 chessboard.
The most I have managed is 178.
I populated one entire main diagonal, with additional rooks 61 steps to the left and right wherever possible. This resulted in two rooks in rows 1 to 39 and in rows 62 to 100, and 1 rook in rows 40-61.
Altogether, 78 rows with 2 rooks + 22 rows with 1 rook = 178 rooks
Solution (?)
