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;
using ll = long long;

ll n;

int main(){
	cin >> n;

	for(ll i = -200; i <= 200; ++i){
		for(ll j = -200; j <= 200; ++j){
			if(i*i*i*i*i - j*j*j*j*j == n){
				printf("%lld %lld\n", i, j);
				return 0;
			}
		}
	}
}