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.InputStreamReader;
import java.util.Scanner;
public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(new InputStreamReader(System.in));
        int a  = sc.nextInt();
        int b = a/2;
        if(a%2 == 0)
        {
             if((b)%2==0)
             {
                  System.out.println(b+" "+b);
             }
             else
             {
                  System.out.println((b+1)+" "+(b-1));
             }
        }
        else
        {
             int c = 4;
             b = a-4;
             boolean r = false;
             while(!r){
               for(int i = 2;i<b;i++)
               {
                    if(b%i==0)
                    {
                         
                         r = true;
                         break;
                    }
               }
               if(!r)
               {
                    c = c+2;
                    b = b-2;

               }
               
                  
             }
             System.out.println(b+" "+c);
             
             
        }
        
        
        
     }
}