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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 or computer assistance.
Incidence structure for tic-tac-toe. 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-by-n board with the goal of getting k of their own color in a row. Tic-tac-toe is the 3,3,3-game. [5] Harary's generalized tic-tac-toe is an even broader generalization of tic-tac-toe.
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.
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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 ...
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.
Ultimate tic-tac-toe (also known as UTT, super tic-tac-toe, meta tic-tac-toe or (tic-tac-toe)² [1]) is a board game composed of nine tic-tac-toe boards arranged in a 3 × 3 grid. [2] [3] Players take turns playing on the smaller tic-tac-toe boards until one of them wins on the larger board. Compared to traditional tic-tac-toe, strategy in this ...
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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