Problem: 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

Solution (in PYTHON3):

Solution:
def solve(x):
    for b in range(1, x + 1):
        for n in range(1, x + 1):
            if n * b * b > x:
                return n * b, b
    return None


def main():
    x = int(input())

    result = solve(x)
    if result:
        a, b = result
        print(a, b)
    else:
        print(-1)


if __name__ == '__main__':
    main()