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++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include <iostream> 
using namespace std; 
int main(){
long long int a=0,b=0,m;
cin>>m;
for(int i=1;i<3501;i++){
for(int j=1;j<3501;j++){
a=m*i*j;
b=4*i*j-m*(i+j);
if(a%b==0&&a/b>0){
cout<<i<<" "<<j<<" "<<a/b<<endl;
return 0;
}
}
}
return 0;
}