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Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns marking the spaces in a three-by-three grid with X or O. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner.
Tic-tac-toe is an instance of an m,n,k-game, where two players alternate taking turns on an m × n board until one of them gets k in a row. [1] Harary's generalized tic-tac-toe is an even broader generalization. The game can also be generalized as a n d game. [2] The game can be generalised even further from the above variants by playing on an ...
As a simple example of a strong solution, the game of tic-tac-toe is easily solvable as a draw for both players with perfect play (a result manually determinable). Games like nim also admit a rigorous analysis using combinatorial game theory. Whether a game is solved is not necessarily the same as whether it remains interesting for humans to play.
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Notakto is a tic-tac-toe variant, also known as neutral or impartial tic-tac-toe. [1] [2] The game is a combination of the games tic-tac-toe and Nim, [1] [3] played across one or several boards with both of the players playing the same piece (an "X" or cross). The game ends when all the boards contain a three-in-a-row of Xs, [4] [5] [6] at ...
SOS (paper-and-pencil game) SOS is paper and pencil game for two or more players. It is similar to tic-tac-toe and dots and boxes, but has much greater complexity. [1] SOS is a combinatorial game when played with two players. In terms of game theory, it is a zero-sum, sequential game with perfect information .
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