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 int x,i,j;

signed main()
{
    ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin>>x;
	for (i=-1000;i<1000;i++) for (j=-1000;j<1000;j++)
	if (i*i*i*i*i-j*j*j*j*j==x)
	{
		cout<<i<<" "<<j;return 0;
	}
	cout<<-1;
}