0165. Two Cylinders

Input file name:	twocyl.in
Output file name:	twocyl.out
Time limit:	2 s
Memory limit:	32 megabytes

In this problem your task is very simple.

Consider two infinite cylinders in three-dimensional space, of radii R₁ and R₂ respectively, located in such a way that their axes intersect and are perpendicular.

Your task is to find the volume of their intersection.

Input file

Input file contains two real numbers R₁ and R₂ (1 ≤ R₁, R₂ ≤ 100);

Output file

Output the volume of the intersection of the cylinders. Your answer must be accurate up to 10^-4.

Examples:

twocyl.in	twocyl.out
1 1	5.3333

Source: Petrozavodsk Summer 2003. Final Contest, Saturday, August 30
Author: Andrew Stankevich

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