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 sc = new Scanner(System.in);

		long X = sc.nextLong();
		long[] five = new long[121];
		long A = 0;
		for( int i=1; i<=120; i++ ){
			A++;
			five[i] = A*A*A*A*A;
		}
		loop:for( int i=0; i<=120; i++ ){
			for( int k=0; k<=120; k++ ){
				if( five[i]-five[k]==X ){
					System.out.println(i+" "+k);
					break loop;
				}
				if( five[i]+five[k]==X ){
					System.out.println(i+" "+(-k));
					break loop;
				}			
			}
		}
	}
}