Given an integer x, find 2 integers a and b such that: 

  * 1 ≤ a,b ≤ x 
  * b divides a (a is divisible by b). 
  * a ⋅ b>x. 
  * a/b<x. 

Input

The only line contains the integer x (1 ≤ x ≤ 100).

Output

You should output two integers a and b, satisfying the given conditions, separated by a space. If no pair of integers satisfy the conditions above, print "-1" (without quotes).

Examples

Input

10


Output

6 3

Input

1


Output

-1
	import java.util.Scanner;
	import java.util.*;
	
	
	public class cf_1 {
	
		
		public static void main(String[] args) {
	
				Scanner scan = new Scanner(System.in);
				int x= scan.nextInt();
			
				if(x==1){
					System.out.println(-1);
				}
				else{
					System.out.println(x+" "+ x);	
				}
		}
	
	}
