Problem: 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

Solution (in CPP):

Solution:
#include <cstdio>
int main() {
    long long n;
    scanf("%lld",&n);
    for (long long i = 1;i <= 3500;i++)
        for (long long j = 1;j <= 3500;j++)
            if (4*i*j-n*i-n*j > 0 && !(n*i*j%(4*i*j-n*i-n*j))) {
                printf("%lld %lld %lld",i,j,(n*i*j)/(4*i*j-n*i-n*j));
                return 0;
            }
    return 0;
}