F. Prime factorization
time limit per test
2 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output

You are given an integer n. Output its prime factorization.

If n = a1b1a2b2 ... akbk, where ak are prime numbers, the output of your program should look as follows: a1 a1 ... a1 a2 a2 ... a2 ... ak ak ... ak, where factors are ordered in non-decreasing order, and each factor ai is printed bi times.

Input

The only line of input contains an integer n (2 ≤ n ≤ 250).

Output

Output the prime factorization of n, as described above.

Examples
Input
245
Output
5 7 7
Input
13
Output
13