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: Accepted)

#include<bits/stdc++.h>
#define rep(i, n) for(i = 0; i < (n); ++i)
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
#define MOD 1000000007
#define PI 3.14159265359
 
int main(){
  ll X, A, B, i, j;
  
  cin >> X;
  
  for (ll A = -120; A <= 120; A++){
    for(ll B = -120; B <= 120; B++){
      if(pow(A, 5) - pow(B, 5) == X){
        cout << A << " " << B << endl;
        return 0;
      }
    }
  }
  
  return 0;
}