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N-queens puzzles can be viewed as constraint satisfaction problems.

In a \(n\times n\) chessboard, the goal is to place n queens such that no two queens can attack each other.

Variable \(\{X_{i}\}\). Let \(X=\{x_{1},x_{2},...,x_{n}\}\) where \(X_{i}\) represents the there is a queen on the chessboard \((X_{i},i)\).

Domain \(D=\{1,2,....,n\}\)

Constraints \(\{C_{1},C_{2}\}\):

\(C_{1}:\forall i\forall j\) \(X_{i}\neq X_{j}\) , it represents that no two queens are in the same row.

\(C_{2}:\forall i\forall j\) \(|X_{i}-X_{j}|\neq|i-j|\) , it represents that no two queens are in the same diagonal.

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Hankabout 2 years ago · PublicI think this should be \(E=mc^{2}\).