In this writeup, I discuss certain examples of the mnk games as well as their winning strategies, and then move on to the algorithms people used to prove the existence of these strategies. 2 mnk games The most famous case of mnk games is the 3-3-3 game, more commonly referred to as tic-tac-toe. Many people have played this game, and if both ...

MNK-game engine (generalized tic-tac-toe board game) and Player AI based on an improved Alpha-Beta pruning search algorithm with threat detection heuristic which runs in O(√(n!)*log(N+M)) time on average case

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.

Source code for a simple Pygame based implementation of the generalized version of tic-tac-toce (m-n-k game) that I wrote for fun a few years ago. The game is played on your local computer, with your opponent sitting next to you. To start the game, run the python script from your terminal.

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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×n board, the winner being the player who first gets k stones of their own color in a row, horizontally, vertically, or diagonally. Thus, Tic-tac-toe is the 3,3,3-game and free-style Gomoku is the 15,15,5-game.

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2015年5月8日 · Two players take turns in placing a stone of their color on an m×n board, the winner being the player who first gets k stones of their own color in a. row, horizontally, vertically, or diagonally. For example, tic-tac-toe is a 3,3,3-game and gomuku is a 19,19,5-game. newGame, move, moves. deriving (Show, Read, Eq)