Problem: 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

Solution (in JAVA):

Solution:
import java.util.*;
public class anotherConstruction {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int x = sc.nextInt();
        for(int a =1;a<=x;a++){
            for(int b =1;b<=x;b++){
                if(a%b==0 && a*b>x && a/b<x){
                    System.out.print(a);
                    System.out.print(" ");
                    System.out.print(b);
                    return;
                }
            }
        }
        System.out.println(-1);
    }
}