SPOJ in Gyumri

   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 x 2 x 2.

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

Input

   The input file contains single integer number n (1 ≤ n ≤ 10⁶) — the capacity of the refrigerator.

Output

   Output three integer numbers:  a, b and c — the optimal dimensions of the refrigerator.  

Examples