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<cstdio>
 
int main()
{
	int X;
	scanf("%d", &X);
	for (int A = 0; A < 120; ++A) {
      	for (int B = -120; B < A; ++B) {
			if (A * A * A * A * A - B * B * B * B * B == X)
			{
				printf("%d %d", A, B);
				return 0;
            }
		}
    }
}