3714: Parallelepiped
[Creator : ]
Description
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputYou've got a rectangular parallelepiped with integer edge lengths. You know the areas of its three faces that have a common vertex. Your task is to find the sum of lengths of all 12 edges of this parallelepiped.
Input
The first and the single line contains three space-separated integers − the areas of the parallelepiped's faces. The area's values are positive (>0) and do not exceed 104. It is guaranteed that there exists at least one parallelepiped that satisfies the problem statement.
Output
Print a single number − the sum of all edges of the parallelepiped.
Examples
Input
1 1 1
Output
12
Input
4 6 6
Output
28
Note
In the first sample the parallelepiped has sizes 1×1×1, in the second one− 2×2×3.