Problem:
Score : 400 points

Problem Statement

Give a pair of integers (A, B) such that A^5-B^5 = X.
It is guaranteed that there exists such a pair for the given integer X.

Constraints

1 \leq X \leq 10^9

X is an integer.

There exists a pair of integers (A, B) satisfying the condition in Problem Statement.

Input

Input is given from Standard Input in the following format:

X

Output

Print A and B, with space in between.
If there are multiple pairs of integers (A, B) satisfying the condition, you may print any of them.

A B

Sample Input 1

33

Sample Output 1

2 -1

For A=2 and B=-1, A^5-B^5 = 33.

Sample Input 2

1

Sample Output 2

0 -1

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int main()
{
    ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    ll x;

    cin >> x;
   
       for(ll i = -40; i <= 40; i++){
           for(ll j = -40; j <= 40; j++){
               if(i * i * i * i * i - j * j * j * j * j == x){
                   cout << i << " " << j << endl;
                   return 0;
               }
           }
       }
    
}