You are given an integer N.

Find a triple of positive integers h, n and w such that 4/N = 1/h + 1/n + 1/w.

If there are multiple solutions, any of them will be accepted.

Constraints

* It is guaranteed that, for the given integer N, there exists a solution such that h,n,w \leq 3500.

Inputs

Input is given from Standard Input in the following format:


N


Outputs

Print a triple of positive integers h, n and w that satisfies the condition, in the following format:


h n w

Examples

Input

2


Output

1 2 2


Input

3485


Output

872 1012974 1539173474040


Input

4664


Output

3498 3498 3498
#include <cstdio>
long long n, a, b, c, x, y;
int main() {
	scanf("%lld", &n);
	for(a=1; a<=3500; a++) for(b=a; b<=3500; b++) {
		x = n*a*b;
		y = 4*a*b - n*a - n*b;
		if(y>0 && x%y==0) return !printf("%lld %lld %lld", a, b, x/y);
	}
}