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.ArrayList;
import java.util.Arrays;
        import java.util.Scanner;

public class Singleton_Pattern {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        if (n == 1)
            System.out.println(-1);
        else if (n == 2 | n == 3)
            System.out.println(2 + " " + 2);
        else if (n > 3) {
            if ((n & 1) == 0)
                System.out.println(n + " " + 2);
        if ((n & 1) == 1)
            System.out.println(n - 1 + " " + 2);
    }
    }
}