Tic-tac-toe (also known as noughts and crosses or Xs and Os) is a paper-and-pencil game for two players, X and O, who take turns marking the spaces in a 3×3 grid. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row wins the game.
The following example game is won by the first player, X.
Players soon discover that best play from both parties leads to a draw. Hence, tic-tac-toe is most often played by young children.
Because 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. It is straightforward to write a computer program to play tic-tac-toe perfectly, 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.
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. Tic-tac-toe is the (3,3,3)-game.[2] Harary's generalized tic-tac-toe is an even broader generalization of tic tac toe. It can also be generalized as a nd game. Tic-tac-toe is the game where n equals 3 and d equals 2. If played properly, the game will end in a draw making tic-tac-toe a futile game
Win: If the player has two in a row, they can place a third to get three in a row.
Block: If the opponent has two in a row, the player must play the third themselves to block the opponent.
Fork: Create an opportunity where the player has two threats to win (two non-blocked lines of 2).
Blocking an opponent's fork:
Option 1: The player should create two in a row to force the opponent into defending, as long as it doesn't result in them creating a fork. For example, if "X" has two opposite corners and "O" has the center, "O" must not play a corner in order to win.
Option 2: If there is a configuration where the opponent can fork, the player should block that fork.
Center: A player marks the center. (If it is the first move of the game, playing on a corner gives the second player more opportunities to make a mistake and may therefore be the better choice
Opposite corner: If the opponent is in the corner
Empty corner: The player plays in a corner square.
Empty side: The player plays in a middle square on any of the 4 sides.
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Last updated on 2017年08月14日
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