题解:Tic Tac Toe(模拟)

本文介绍了一个Tic Tac Toe游戏的模拟过程,分析了从初始空格到游戏结束的各种可能网格配置,并提供了输入输出示例,旨在确定给定的网格是否可能出现在有效的Tic Tac Toe游戏中。

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Tic Tac Toe is a child’s game played on a 3 by 3 grid. One player, X, starts by placing an X at an unoccupied grid position. Then the other player, O, places an O at an unoccupied grid position. Play alternates between X and O until the grid is filled or one player’s symbols occupy an entire line (vertical, horizontal, or diagonal) in the grid.
We will denote the initial empty Tic Tac Toe grid with nine dots. Whenever X or O plays we fill in an X or an O in the appropriate position. The example below illustrates each grid configuration from the beginning to the end of a game in which X wins.
… X… X.O X.O X.O X.O X.O X.O

… … … … .O. .O. OO. OO.

… … … …X …X X.X X.X XXX

Your job is to read a grid and to determine whether or not it could possibly be part of a valid Tic Tac Toe game. That is, is there a series of plays that can yield this grid somewhere between the start and end of the game?
Input
The first line of input contains N, the number of t

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