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
x=int(input())
flag=0
for i in range(1,x+1):
    for j in range(2,x+1):
        if i*j>x and j%i==0 and j/i<x:
            print(j,i)
            flag=1
            break
    if flag==1:
        break
    elif i==x and flag==0:
        print(-1)
        break