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.io.PrintWriter;
public class Main{
	public static void main(String[] args){
		Scanner sc=new Scanner(System.in);
		long x=sc.nextLong();
		for(int i=0; i<=1000; i++){
			for(int j=-1000; j<=1000; j++){
				if(pow(i,5)-pow(j,5)==x){
					System.out.println(i+" "+j);
					return;
				}
			}
		}
	}
	static long pow(long left,long right){
		long ans=1;
		while(right>0){
			if((right&1)==1){
				ans*=left;
			}
			right>>=1;
			left*=left;
		}
		return ans;
	}
}