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;

long long a, b, x;
 
int main()
{
	cin >> x;
	for (a = 0; a <= 1000; a++)
		for (b = -1000; b <= 1000; b++)
			if (a * a * a * a * a - b * b * b * b * b == x)
			{
				cout << a << " " << b << endl;
				exit(0);
			}
	return 0;
}