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>
#define ll long long int
#define N 4000
using namespace std;

int main() {
	ll x;
	cin>>x;
	for(ll a=-N+1;a<N;a++){
		for(ll b=a;b<N;b++){
			if(((b*b*b*b*b)-(a*a*a*a*a))==x){
				cout<<b<<' '<<a<<'\n';
				return 0;
			}
		}
	}
	return 0;
}