CF224A.Parallelepiped

普及/提高-

通过率:0%

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题目描述

You'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.

输入格式

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 10410^{4} . It is guaranteed that there exists at least one parallelepiped that satisfies the problem statement.

输出格式

Print a single number — the sum of all edges of the parallelepiped.

输入输出样例

  • 输入#1

    1 1 1
    

    输出#1

    12
    
  • 输入#2

    4 6 6
    

    输出#2

    28
    

说明/提示

In the first sample the parallelepiped has sizes 1×1×11×1×1 , in the second one — 2×2×32×2×3 .

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