Given a natural number N. Lay it on the prime factors.

   Input

   The first line of input contains a single integer N (2 ≤ N ≤ 1 000 000 000).

   Output

   For number N of the input data in a single line through the gap carry him the prime factors in the format shown in the examples.

   Do not put extra spaces, otherwise you will get a "Wrong Answer". For example, if N is 4, you need to remove "2 * 2" (no space after the second two).

Samples

13

2*2

2*2*5*5