The Coordinate Plane · Challenge problem

A snail starts at $(10, 10)$ and crawls in a spiral: $1$ unit right, $2$ units up, $3$ units left, $4$ units down, $5$ units right, $6$ units up, and so on, turning the same way each time and crawling $1$ unit farther on each move. Where is the snail after $10$ moves? Write the point as (x, y).