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() {
	long long int x;
	cin >> x;

	for (int i = 119; i >= -118; i--) {
		for (int j = i - 1; j >= -119; j--) {
			if (pow(i, 5) - pow(j, 5) == x) {
				cout << i << " " << j << endl;
				return 0;
			}
		}
	}
}