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 JAVA):

Solution:
import java.util.*;
public class Main {
    
    public static void main(String args[]){
        Scanner scanner = new Scanner(System.in);
        int X = scanner.nextInt();
        for (long i = -1000; i <=1000 ; i++) {
            for (long j = -1000; j <=1000; j++) {
                long a5 = i*i*i*i*i;
                long b5 = j*j*j*j*j;
                if(a5-b5==X){
                    System.out.print(i);
                    System.out.print(" ");
                    System.out.print(j);
                    return;
                }
            }
        }
    }
}