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The eight queens puzzle is the problem of placing eight chess queens on an 88 chessboard so that no two queens threaten each other; thus,

The eight queens puzzle is the problem of placing eight chess queens on an 88 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. Formulate this problem as an ILP. Use LINGO package and provide an optimal solution for this problem by attaching the output of LINGO.

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