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The game playing is an import domain of heuristic search, and its procedure is represented by a special and/or tree. Alpha-beta pruning is always used for problem solving by searching the game-playing-tree. In this paper, the plan which child nodes are inserted into game-playing-tree from large value of estimation function to small one when the node of no receiving fixed ply depth is expand is proposed based on alpha-beta pruning. It improves effect of search.