Largest Volume#5498

Largest Volume

1 second
64 megabytes
Hard

Now our heroes – Alakbar, Hidayet, Khayyam are working for SOCAR(State Oil Company of Azerbaijan Republic) as developers. Now they have faced a great problem.

They couldn't find the correct solution. Because the problem is related to math. Their friend Kamran can solve that problem. But he is working for Yandex. So he is not in Azerbaijan and our heroes can't contact him at this moment. Could you help them?

We are given – radius of lower base and – slant height. The figure can be cylinder or truncated cone. You have to find the largest possible volume to carry oil based on the given information.

Input

You are given two numbers that are less than : radius of lower base and slant height . The slant height is the shortest possible distance between the edges of two bases.

Output

Print the largest volume with two digits after the decimal point.

Examples

Example 1

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