Problem:
Score : 300 points

Problem Statement

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

Sample Input 1

2

Sample Output 1

1 2 2

4/2 = 1/1 + 1/2 + 1/2.

Sample Input 2

3485

Sample Output 2

872 1012974 1539173474040

It is allowed to use an integer exceeding 3500 in a solution.

Sample Input 3

4664

Sample Output 3

3498 3498 3498

Solution in C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main() {
    int h, n, w;

    int N;
    scanf("%d", &N);

    for (int i = 1; i < 3500; i++) {
        for (int j = i; j < 3500; j++) {
            for (int k = j; i < 3500; k++) {
                if(4 * i * j * k == N * (i * j + j * k + k * i)) {
                    h = i;
                    n = j;
                    w = k;
                    goto OUT;
                }
            }
        }
    }
    OUT:

    printf("%d %d %d\n", h, n, w);
    return 0;
}