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 solve(x):
    for a in range(1, x+1):
        for b in range(1, x+1):
            if isValid(a, b, x):
                print(a, b)
                return
    print(-1)
    return

isValid = lambda a,b,x: 1<=a and a<=x and 1<=b and b<=x and a%b==0 and a*b>x and a/b<x
x = int(input())
solve(x)