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Use clingo to determine how many bishops can be placed on a chessboard so that they do not attack each other. (a) Find the maximum

Use clingo to determine how many bishops can be placed on a chessboard so that they do not attack each other. (a) Find the maximum value of bishops when the chessboard is n by n, where n is 3, 4, 5, 6, 7, 8. (b) Infer the general function f(n) that returns the maximum value of bishops.

PLEASE USE CLINGO.

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