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 <stdio.h>
#define LL long long
LL a,b,x,i,j,y;
LL f(LL a){
	return a*a*a*a*a;
}
int main(){
	scanf("%lld",&x);
	for(i=-1000;i<=1000;i++){
		y=f(i)+x;
		for(j=-1000;j<=1000;j++)
			if(f(j)==y){
				printf("%lld %lld\n",j,i);
				return 0;
			}
	}
	return 0;
}