Connect Four on 6 high, 7 wide grid, there are 4,531,985,219,092 positions for all game boards populated with 0 to 42 pieces. The game was first solved by James Dow Allen (October 1, 1988), and independently by Victor Allis (October 16, 1988). Allis describes a knowledge-based approach, with nine strategies, as a solution for Connect Four. Allen also describes winning strategies in his analysis of the game. At the time of the initial solutions for Connect Four, brute-force analysis was not deemed feasible given the game's complexity and the computer technology available at the time. Connect Four has since been solved with
Game mechanics in zero-sum games. These involve the use of "dice", usually as randomisers. Most dice used in games are the standard cubical dice numbered from 1 to 6, though games with polyhedral dice or those marked with symbols other than numbers exist. The most common use of dice is to randomly determine the outcome of an interaction in a game. An example is a player rolling a die or dice to determine how many board spaces to move a game token. Dice often determine the outcomes of in-game conflict between players, with different outcomes of the die/dice roll of different benefit