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;
import java.util.*;

public class CodeForces_EhabAndAnotherConstructionProblem {
		public static void main(String[] args) {

		      Scanner sc = new Scanner(System.in);  
		      int n = sc.nextInt();
		      sc.close();
		      if(n != 1) System.out.println(n + " " + n);
		      else System.out.println(-1);
		}
}