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