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<bits/stdc++.h>

using namespace std;


int main()
{
	int x; cin >> x;
	int m = 120;
	for(int i = -m; i <= m; i++){
		for(int j = -m; j <= m; j++){
			if(pow(i,5)-pow(j,5) == x){
				cout << i << " " << j;
				return 0;
			}
		}
	}
	return 0;
}