In n queens problem, n queens should be placed on an n × n chessboard so that they do not threaten each other. Figure 5.15 gives one solution to the 8 queens problem, which has in total – omitting rotations and mirror images – 12 different solutions. Formulate the n queens problem as a search problem.

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.