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{{Unreferenced|date=January 2008}}
{{dicdef}}
'''Binary constraint''', in [[mathematical optimization]], is a constraint that involves exactly two variables. For example, consider the [[n-queens problem]], where the goal is to place ''n'' [[Queen (chess)|chess queens]] on an ''n''-by-''n'' chessboard such that none of the queens can attack each other (horizontally, vertically, or diagonally). The formal set of constraints are therefore "Queen 1 can't attack Queen 2", "Queen 1 can't attack Queen 3", and so on between all pairs of queens. Each constraint in this problem is binary, in that it only considers the placement of two individual queens.
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