Quadrants · Superchallenge problem

A robot starts at the origin. On move $1$ it goes $1$ unit right, on move $2$ it goes $2$ units up, on move $3$ it goes $3$ units left, on move $4$ it goes $4$ units down, on move $5$ it goes $5$ units right, and so on: the directions keep repeating right, up, left, down, and each move is $1$ unit longer than the one before. After $20$ moves, what is the sum of the robot's two coordinates?