A radar dish covers a circular region of integer radius r centered at the origin of a grid. Count how many integer grid points (x, y) lie inside or exactly on the edge of that region, i.e. how many integer pairs satisfy x*x + y*y <= r*r.
Input format
Line 1: a single integer r, the radius.
Output format
A single integer: the number of integer grid points covered.
Constraints
- 0 <= r <= 1000000