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
z=int(input())
c=0
for i in range(1,z+1):
    for j in range(1,z+1):
        if i%j==0 and i*j > z and i/j < z :
            print(i ,j)
            c=1
            break
    if c==1:
        break
if c==0:
    print(-1)
        
            
        
    

			  	      	  	 			     	  		