Large Number Prime Factorization

Time limit1sMemory limit128 MB

Problem

Factorize a given positive integer into its prime factors.

Input

The first line contains a single integer $N$ to factorize. ($1 < N < 2^{62}$)

Output

Print the prime factors of $N$ in increasing order, one per line. If a prime factor appears more than once, print it that many times.