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A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance.
Tic-tac-toe A completed game of tic-tac-toe Other names Noughts and Crosses Xs and Os Genres Paper-and-pencil game Players 2 Setup time Minimal Playing time ~1 minute Chance None Skills Strategy, tactics, observation 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 ...
An important notion in combinatorial game theory is that of the solved game. For example, tic-tac-toe is considered a solved game, as it can be proven that any game will result in a draw if both players play optimally. Deriving similar results for games with rich combinatorial structures is difficult.
In tic-tac-toe, pieces are placed (or marks are made) until the board is full; if neither player has an orthogonal or diagonal line at this point, the game is a draw. Extended tic-tac-toe, like the three men's morris game, each player has three pieces, but when moving pieces, players must first move their first pieces, then the second pieces ...
Zillions of Games is so called because of its potential to play a very large number of user-programmed games. The system is shipped with over 300 games and puzzles. These include a lot of popular board games, such as Alquerque, Fox and geese, Go, Gomoku, Jungle, Halma, Nim, Nine men's morris, Reversi, Tafl and Tic-tac-toe.
This chart had drawings of tic-tac-toe game grids with various configurations of X, O, and empty squares, [4] corresponding to all possible permutations a game could go through as it progressed. [11] After removing duplicate arrangements (ones that were simply rotations or mirror images of other configurations), MENACE used 304 permutations in ...
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