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MathNet 2016-part-06 — 184 problems (EN–VI) Question 29

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 29

Determine the largest number of bishops that can be placed on an $8 \times 8$ chessboard so that no two bishops are on the same square and each bishop is threatened by at most one of the other bishops.

Note. A bishop threatens another one if both are on two different squares of the same diagonal. The diagonals of the board are the $2$ main diagonals and the lines parallel to them.