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:
//construction problem
import java.util.*;
import java.io.*;
public class Construction
{
	public static void main(String[] args)
	{
		Scanner sc=new Scanner(System.in);
		int x=sc.nextInt();
		if(x==1)
			System.out.println("-1");
		else
		{
			x=x-(x%2);
			System.out.println(x+ " 2");
		}
	}
}