In the world of mathematical games, Nim’s game stands out as a fascinating and challenging two-player game. Despite its simple rules, Nim’s game requires strategic thinking and logical reasoning to win the game.
Consider the 2D grid formed by integer points on the XY Plane. The position of the Sniper and the Target are lattice points in this grid. The bullet shot by the Sniper will follow a straight line trajectory from (x1, y1) to (x2, y2). The bullet goes no further than (x2, y2).