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
using namespace std;

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	ll x;cin>>x;
	for(ll i=0;i<=200;i++){
		for(ll j=-i;j<=i;j++){
			if(i*i*i*i*i-j*j*j*j*j==x){cout<<i<<" "<<j<<'\n';return 0;}
		}
	}
	return 0;
}