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;
long long int X;
int main()
{
    cin>>X;
  
    for(long long int i = 1; i <= 200; i++){
        for(long long int j = -200; j < i; j++){
            if(i*i*i*i*i-j*j*j*j*j==X){cout<<i<<" "<<j<<endl;return 0;}
        }
    }
}