Robot Movement

Consider a K×K square made of K2 unit squares. The center of the lowermost, leftmost unit square has coordinates (0, 0) and the center of the rightmost, uppermost unit square has coordinates ((K-1), (K-1)). Consider a robot that can move only in a straight line and cannot change its direction once it starts moving. If the robot starts from the center (p,q) of a unit square to retrieve an object fr