Question: Show that the 8-puizle states are divided into two disjoint sets, such that no state in one set can be transformed into a state in

Show that the 8-puizle states are divided into two disjoint sets, such that no state in one set can be transformed into a state in the other set by any number of moves. Devise a procedure that will tell you which class a given state is in, and explain why this is a good thing to have for generating random states.

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From httpwwwcuttheknotcompvthagorasfifteenshtml this proof applies to the fifteen puzzles but the same argument works for the eight puzzles Definition ... View full answer

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