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.*; 


public class Main{
	public static void main(String[] args){
		Scanner scan = new Scanner(System.in);
                
                long X = scan.nextLong();
                long A = 0;
                long B = 0;
                ArrayList<Integer> arrayList = new ArrayList<Integer>();
               
                if(0<X || X<0){
                    for(int i=-120; i<=120; i++){
                        for(int j=-120; j<=120; j++){
                            if(i*i*i*i*i-j*j*j*j*j==X){
                                System.out.println(i + " " + j);
                                System.exit(0);
                            }
                        }
                    }
                }
                else if(X==0){
                    System.out.println("1 1");
                }
        }
}