Problem: One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.

For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two primes". Let's modify it. How about a statement like that: "each integer no less than 12 can be expressed as the sum of two composite numbers." Not like the Goldbach's conjecture, I can prove this theorem.

You are given an integer n no less than 12, express it as a sum of two composite numbers.

Input

The only line contains an integer n (12 ≤ n ≤ 106).

Output

Output two composite integers x and y (1 < x, y < n) such that x + y = n. If there are multiple solutions, you can output any of them.

Examples

Input

12


Output

4 8


Input

15


Output

6 9


Input

23


Output

8 15


Input

1000000


Output

500000 500000

Note

In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well.

In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  cin >> n;
  int x = n / 2, y = (n / 2) + 1, prime1 = 0, prime2 = 0;
  if (n % 2 == 0) {
    x = (n / 2);
    y = n / 2;
  }
  for (int i = 1; i <= n; i++) {
    for (int j = 2; j < x; j++) {
      if (x % j == 0) {
        prime1++;
        break;
      } else if (j == x - 1) {
        prime1 = 0;
        break;
      }
    }
    for (int j = 2; j < y; j++) {
      if (y % j == 0) {
        prime2++;
        break;
      } else if (j == y - 1) {
        prime1 = 0;
        prime2 = 0;
      }
    }
    if (prime1 >= 1 && prime2 >= 1)
      break;
    else {
      x--;
      y++;
    }
  }
  cout << x << " " << y;
  return 0;
}