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#F2697. Parallelepiped

    ID: 2703 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 2 上传者: 标签>枚举计算几何数学算法思想基础难度共享题库Codeforces英文题面题目来源题面语言

Parallelepiped

题目描述

A. Parallelepiped
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

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.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2363 题。保留原作者与原赛事署名。