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One important MN-puzzle problem is to find a sequence of up-down and right-left movements of theempty-cell so that a goal-pattern can be achieved from a given initial-pattern.The second problem is tocharacterize the totality of the goal-pattern from a given initial-pattern.The third problem is finding thefewest movements to achieve it.In this paper,these problems will be completely solved.
One important MN-puzzle problem is to find a sequence of up-down and right-left movements of thempty-cell so that a goal-pattern can be achieved from a given initial-pattern. Second problem is tocharacterize the totality of the goal -pattern from a given initial-pattern. The third problem is finding thefewest movements to achieve it.In this paper, these problems will be completely solved.