Segment and Circles#197
In a plane, there is a system of concentric circles centered at the origin with radii 1, 2, 3, \ldots. Additionally, there is a segment in the plane with endpoints at (X_1, Y_1) and (X_2, Y_2). Find the number of intersection points between this segment and the system of circles.
The first line contains four integers X_1, Y_1, X_2, Y_2 (|X_1|, |Y_1|, |X_2|, |Y_2| \leq 10^3). The segment has nonzero length.
Print the number of intersection points.
Example 1