Problem: 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

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

Examples

Input

33


Output

2 -1


Input

1


Output

0 -1

Solution (in CPP):

Solution:
#include <iostream>
using namespace std;

int main() {
  int x;
  cin >> x;
  for (int a = -118; a <= 119; a++) {
    for (int b = -119; b <= 118; b++) {
      if (a * a * a * a * a - b * b * b * b * b == x) {
        cout << a << " " << b << endl;
        exit(0);
      }
    }
  }
}