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 x;
	cin>>x;
	for(long long i=1;i<300;i++){
		for(long long j=i-1;j>-300;j--){
			if(((i*i*i*i*i)-(j*j*j*j*j))==x){
				cout<<i<<" "<<j<<endl;
				return 0;
			}
		}
	}
	return 0;
}