All you need is to represent the natural number as the product of three distinct natural numbers greater than one (or say that it is impossible).
The input consists of a single natural number such that N \le 10^9.
You need to output three different integers , , (2 \le a, b, c \le 10^9) separated by spaces, whose product is exactly . If this is not possible, output three zeros separated by spaces. If there are multiple solutions, you may output any of them.
Example 1
Example 2