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 <iostream>
#include <vector>
#include <cmath>

using namespace std;

int main(){
    int x, a,b; cin>>x;
    for(auto i=-1000; i<=1000; i++){
        for(auto j=-1000; j<=1000; j++){
            if((i*i*i*i*i)-(j*j*j*j*j)==x){
                a=i; b=j; goto ANS;
            }
        }
    }
    ANS:
        cout<<a<<" "<<b;
    return 0;
}