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 in = new Scanner(System.in);
        int x=in.nextInt();

        if(x!=1) {
            int a=0,b=0;
            for (int i = 1; i <=x; i++) {
                for (int j = 1; j <=x; j++) {
                    if (((i<=x) && (j<=x))&&(i%j==0)&&(i*j>x)&&(i/j<x)) {
                        a=i;
                        b = j;
                    }
                }

            }
            System.out.print(a);
            System.out.print(" ");
            System.out.print(b);

        }else{
            System.out.println("-1");
        }

    }
}