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
def Calculo_Brute_Force(x):
    
    for a in range(1,x+1):
            if ((a*a)>x) :
                print (a,a)
                return(a,a)
    
    print(-1)
    return(-1)

Calculo_Brute_Force(int(input()))