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 JAVA):

Solution:
import java.io.PrintWriter;
import java.util.Scanner;

public class TaskA{
  public static void main(String[] args) {
    TaskA tA = new TaskA();
    PrintWriter pw = new PrintWriter(System.out);
    tA.solve(new Scanner(System.in), pw);
    pw.close();
  }

  public void solve(Scanner input, PrintWriter output) {
  	int n = input.nextInt();
  	boolean[] composite = new boolean[n+1];
  	composite[1] = true;
  	for (int i = 2; i <= n; i++) {
  		if (!composite[i]) {
  			for (int j = i + i; j <= n; j += i) {
  				composite[j] = true;
  			}
  		}
  	}
  	for (int i = 4; i <= n-4; i++) {
  		if (composite[i] && composite[n - i]) {
  			output.println(i + " " + (n - i));
  			return;
  		}
  	}
  }
}