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Omni-MATH / What is the maximum number of bishops that can be placed on an 8×8 chessboard such that at most three bishops lie on any diagonal?

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problem

What is the maximum number of bishops that can be placed on an 8×88 \times 8 chessboard such that at most three bishops lie on any diagonal?
Plain-text mathematical notation (without MathML)
What is the maximum number of bishops that can be placed on an 8×8 chessboard such that at most three bishops lie on any diagonal?
Original LaTeX notation
What is the maximum number of bishops that can be placed on an $8 \times 8$ chessboard such that at most three bishops lie on any diagonal?

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