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 A525
{
    public static void main(String args[])
    {
        Scanner sc=new Scanner(System.in);
        int a,x;
        x=sc.nextInt();
        if(x==1)
            System.out.println(-1);
        else 
        {
            a=(int)Math.sqrt(x)+1;
            System.out.println(a+" "+a);
        }
    }
}