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 a;
	cin>>a;
	for (long long i=-1000;i<=1000;i++)
		for (long long n=-1000;n<=1000;n++)
			if ((pow(i,5))-(pow(n,5))==a)
			{
				cout<<i<<" "<<n;
				return 0;
			}
	return 0;
}