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.*;
import java.lang.*;
import java.io.*;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        long X = sc.nextInt();

        for(long A=0;; A++) for(long B=0; B<=A; B++){
            if(A*A*A*A*A-B*B*B*B*B==X){
                System.out.printf("%d %d\n", A, B);
                return;
            }
            if(A*A*A*A*A+B*B*B*B*B==X){
                System.out.printf("%d %d\n", A, -B);
                return;
            }
            if(-A*A*A*A*A-B*B*B*B*B==X){
                System.out.printf("%d %d\n", -A, B);
                return;
            }
            if(-A*A*A*A*A+B*B*B*B*B==X){
                System.out.printf("%d %d\n", -A, -B);
                return;
            }            
        }
    }
}