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Problem 1109
Beer Refrigerator
Time Limit: 1000ms
Memory Limit: 65536kb Description
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:
The best variant in this case is 3*2*2. Help the beer lovers to find the optimal dimensions for their new refrigerator. Input
Each case contains single integer number n (1 <= n <= 106) — the capacity of the refrigerator. Process to the end of file.
Output
Output three integer numbers: a, b and c — the optimal dimensions of the refrigerator. (a<=b<=c)
Sample Input
12 13 1000000 Sample Output
2 2 3 1 1 13 100 100 100 |