m,n,k-game
Abstract board game for two players / From Wikipedia, the free encyclopedia
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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. An m,n,k-game is also called a k-in-a-row game on an m-by-n board.
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/9/91/Tic-tac-toe_5.png/320px-Tic-tac-toe_5.png)
The m,n,k-games are mainly of mathematical interest. One seeks to find the game-theoretic value, the result of the game with perfect play. This is known as solving the game.