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3536：Beer Refrigerator

Special Judge 特殊评判
题目描述

Beer Lovers Club makes regular parties. They hate warm beer, but club’s refrigerator is too small to store enough beer for the whole company. So they decided to order a special super-big beer refrigerator. The new refrigerator should be a parallelepiped a × b × c and store exactly n cubical 1 × 1 × 1 beer boxes (the club has n members). To decrease losses of cold, the total area of the surface of the refrigerator must be as small as possible.

For example, if the capacity of the refrigerator must be 12, the possible variants are:

DimensionsSurface Area
3 × 2 × 232
4 × 3 × 138
6 × 2 × 140
12 × 1 × 150

The best variant in this case is 3 × 2 × 2.

Help the beer lovers to find the optimal dimensions of their new refrigerator.

输入解释

The input file contains single integer number n (1 ≤ n ≤ 106) — the capacity of the refrigerator. Help the beer lovers to find the optimal dimensions of their new refrigerator.

输出解释

Output three integer numbers: a, b and c — the optimal dimensions of the refrigerator. If there are several solutions, output any of them.

输入样例 
#112
#213
#31000000
输出样例 
#13 2 2
#21 13 1
#3100 100 100
该题目是Virtual Judge题目，来自 北京大学POJ
题目来源 Northeastern Europe 2007, Northern Subregion
源链接： POJ-3536
最后修改于 2020-10-29T07:03:57+00:00 由爬虫自动更新
共提交 0 次
通过率 --%
时间上限 内存上限
1000 65536