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>
#include <math.h>
#define LL long long
long long n, m, i, j, k, x, y, s;
int main(){
	scanf("%lld", &x);
	for(i=-500; i<=500; i++){
		for(j=-500; j<=500; j++){
			if(i*i*i*i*i-j*j*j*j*j == x){
				printf("%lld %lld\n", i, j);
				return 0;
			}
		}
	}
	return 0;
}