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;
const int inf = 1000000000, maksn = 1000000;
const double pi = 3.141592653589793;
const double eps = 1e-7;
bool sito[maksn];
int main() {
  for (int i = 0; i < (maksn); i++) sito[i] = 1;
  sito[1] = 0;
  for (int i = 2; i * i < maksn; i++)
    if (sito[i])
      for (int j = i * i; j < maksn; j += i) sito[j] = 0;
  int n;
  cin >> n;
  for (int i = (2); i <= (n - 2); i++)
    if (sito[i] == 0 && sito[n - i] == 0) {
      cout << i << " " << n - i;
      return 0;
    }
}