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:
// Don't place your source in a package
import java.util.*;
import java.lang.*;
import java.io.*;

// Please name your class Main
public class asdasdas{
	public static void main (String[] args) throws java.lang.Exception {
	    Scanner scan = new Scanner(System.in);
		int x = scan.nextInt();
		int val = (int)(Math.sqrt(x))+1;
		if(x==1){
		    System.out.println(-1);
		}else
		System.out.println(val+" "+val);
	}
}