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A8742. Parallelepiped

编程题 普及/提高-

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 $10^{4}$ . 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 $1×1×1$ , in the second one — $2×2×3$ .
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