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

    print(-1)



if __name__ == "__main__":
    main()
