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: Runtime Error)

#include<stdio.h>

int main(){
	int n;
	scanf("%d",&n);
	if(n%4==0){
		printf("%d %d %d\n",n/4*3,n/4*3,n/4*3);
		return 0;
	}
	if(n%2==0){
		printf("%d %d %d\n",n,n,n/2);
		return 0;
	}
	//printf("%d\n",n);
	int i,j;
	for(i=1;;i++){
		//for(j=1;j<=3500;j++){
			j=(n-3)*i/(3-n);
			if(j>0&&3*i*j==(i+j)*n){
				printf("%d %d %d\n",n,i,j);
				return 0;
			}
		//}
	}
	puts("0 0 0");
	return 0;
}