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:
            var x = +readline();

            if (x == 1) {
                print(-1);
            } else {
                var a = 0;
                var b = 0;
                
                for (var i = 1; i <= x; i++) {
                    for (var j = 1; j <= x; j++) {
                        if (i * j > x && i % j == 0 && i / j < x) {
                            a = i;
                            b = j;
                        }
                    }
                }
                
                print(a + " " + b);
            }