benchmarks.wiki / Public workspace

Omni-MATH / Determine the maximum number of bishops that we can place in a 8×8 chessboard such that there are not two bishops in the same cell, and each bishop is threatened by at most one bis…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Determine the maximum number of bishops that we can place in a 8×88 \times 8 chessboard such that there are not two bishops in the same cell, and each bishop is threatened by at most one bishop. Note: A bishop threatens another one, if both are placed in different cells, in the same diagonal. A board has as diagonals the 22 main diagonals and the ones parallel to those ones.
Plain-text mathematical notation (without MathML)
Determine the maximum number of bishops that we can place in a 8×8 chessboard such that there are not two bishops in the same cell, and each bishop is threatened by at most one bishop. 

Note: A bishop threatens another one, if both are placed in different cells, in the same diagonal. A board has as diagonals the 2 main diagonals and the ones parallel to those ones.
Original LaTeX notation
Determine the maximum number of bishops that we can place in a $8 \times 8$ chessboard such that there are not two bishops in the same cell, and each bishop is threatened by at most one bishop. 

Note: A bishop threatens another one, if both are placed in different cells, in the same diagonal. A board has as diagonals the $2$ main diagonals and the ones parallel to those ones.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import