k-Factorization
Description
Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20).
If it's impossible to find the representation of n as a product of k numbers, print -1.
Otherwise, print k integers in any order. Their product must be equal to n. If there are multiple answers, print any of them.
Input
The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20).
Output
If it's impossible to find the representation of n as a product of k numbers, print -1.
Otherwise, print k integers in any order. Their product must be equal to n. If there are multiple answers, print any of them.
Samples
100000 2
2 50000
100000 20
-1
1024 5
2 64 2 2 2