Hanoi

Players start with three stacks of five discs, each stacked by decreasing size 5-4-3-2-1. Each move involves splitting a stack to deploy each piece along a (possibly different) line of the mover's choice, to stop on the closest N+1 disc, if any, else the furthest empty cell. The game ends when a multicoloured stack of height 5 is formed, and is won by the player with the majority of discs in this stack.