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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long llINF = 9223372036854775807;
const int INF = 2147483647;
const int maxn = 35007;
const int maxm = 5e4 + 7;
const int mod = 998244353;
int main(int argc, char const *argv[]) {
  int x;
  scanf("%d", &x);
  for (int a = 1; a <= x; a++) {
    for (int b = 1; b <= x; b++) {
      if (a % b == 0 && a * b > x && a / b < x) {
        printf("%d %d\n", a, b);
        return 0;
      }
    }
  }
  printf("-1\n");
  return 0;
}