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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 ...
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 ...
Tic-Tac-Toe is a game where the player places a letter (either an X or an O) on part of the board, which consists of a 3×3 grid. The aim of the game is to complete 3 squares in a row, either vertically, horizontally, or diagonally.
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.
An m,n,k-game is an abstract board game in which two players take turns in placing a stone of their color on an m-by-n board, the winner being the player who first gets k stones of their own color in a row, horizontally, vertically, or diagonally. [1] [2] Thus, tic-tac-toe is the 3,3,3-game and free-style gomoku is the 15,15,5-game.
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