Two Cylinders

Time Limit: 5 Seconds    Memory Limit: 32768 KB
Special Judge

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.

This problem contains multiple test cases!

The first line of a multiple input is an integer N, then a blank line followed by N input blocks. Each input block is in the format indicated in the problem description. There is a blank line between input blocks.

The output format consists of N output blocks. There is a blank line between output blocks.

Input

Input file contains two real numbers R₁ and R₂ (1 <= R₁,R₂ <= 100).

Output

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

Sample Input

1

1 1

Sample Output

5.3333

Submit

Source: Andrew Stankevich's Contest #3