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 {

    static int gcd (int a, int b) {return b>0?gcd(b,a%b):a;}
    static int mod = 1000000007;

    public static void main(String[] args)  {
        Scanner sc = new Scanner(System.in);
        Long X = sc.nextLong();
        for(long i = -1000; i<1000;i++){
            Long A = i * i * i * i * i;
            for(long j = -1000;j<1000;j++){
                Long B = j * j* j * j * j;
                if(A - B == X){
                    System.out.println(i + " " + j);
                    System.exit(0);
                }
            }
        }
    }

}