Round and Round Snail

A snail starts at the origin of the coordinate plane and moves one cell per second, tracing a clockwise spiral. At second 1 the snail is at (0, 1), and from there it keeps turning clockwise as in the figure below. Given how many seconds have passed, print the position of the snail at that moment.

The time $n$ in seconds that the snail has moved is given. ($0 \le n \le 1000$, and $n$ is an integer no smaller than 0.)

Print the current position of the snail as the $x$ coordinate and then the $y$ coordinate, separated by a space on one line.

• Whether the $x$ coordinate and the $y$ coordinate grow or shrink follows a rule that depends on the direction.
• Count one side of the snail's trail as one turn. The side length stays the same for two turns, and each time the length changes it grows by 1.