Parallelepiped

题意翻译

你有个长方体,你知道其中有公共定点的三个面的面积,求12条边边长和

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.

输入输出格式

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

输入样例 #1

1 1 1

输出样例 #1

12

输入样例 #2

4 6 6

输出样例 #2

28

说明

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