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.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);

        //System.out.println("digite x");
        int x = input.nextInt();

        if(x==1){
            System.out.println("-1");
            System.exit(0);
        }
        for(int a=1; a<=x; a++){
            for(int b=1; b<=x; b++){
                if(a%b==0){
                    if(((a*b)>x) && ((a/b)<x)){
                        System.out.println(a + " "+ b);
                        System.exit(0);
                    }
                }
            }
        }
    }
}