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:
/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		int x=Integer.parseInt(br.readLine());
		int a=0,b=0;
		if(x>1 && x<=4)
		{
		    System.out.println(x+" "+x);
		}
		else if(x>4)
		{
		    
		if(x%2==0)
		{
		  a=x-2;
		  b=(x-2)/2;
		}
		else
		{
		  a=x-1;
		  b=(x-1)/2;
		}
		System.out.println(a+" "+b);
		}
		else
		 System.out.println(-1);
	}
}