It can also be generalized as a n d game. Harary's generalized tic-tac-toe is an even broader generalization of tic-tac-toe. The game can be generalized to an m,n,k-game in which two players alternate placing stones of their own color on an m× n board, with the goal of getting k of their own color in a row. It is straightforward to write a computer program to play tic-tac-toe perfectly or to enumerate the 765 essentially different positions (the state space complexity) or the 26,830 possible games up to rotations and reflections (the game tree complexity) on this space. Hence, tic-tac-toe is most often played by young children.īecause of the simplicity of tic-tac-toe, it is often used as a pedagogical tool for teaching the concepts of good sportsmanship and the branch of artificial intelligence that deals with the searching of game trees. Players soon discover that the best play from both parties leads to a draw.
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