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 <cmath>

using namespace std;

int main() {
  long long A, B, X;
  cin >> X;
  for (int i = 0; i < 101; ++i) {
    long long x = X;
    A = pow(i, 5);
    x = X - A;
    for (int j = -100; j < 101; ++j) {
      B = pow(j, 5) * -1;
      if (x == B) {
        cout << i << " " << j << endl;
        return 0;
      }
    }
  }
  return 0;
}