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 Main {
             static int a,b,n;
             static long S;
             public static void main(String[] args) {
            @SuppressWarnings("resource")
                 Scanner s= new Scanner(System.in);
                    PrintWriter out = new PrintWriter(System.out);
         
               n=s.nextInt();
      
               for(int i =2;i<=n;i++) {
            	   for(int j =2;j<=n;j++) {
            		   
            		   if(i+j==n && prime(i).equals("no") && prime(j).equals("no"))  {
            			   
            			a++;
            			  System.out.println(i+" "+j); 
            			  
            		   }if(a==1)
             			  break; 
            			 
            			  
            		   
            	   }
               }
               
                     
     out.flush();
            } static String prime(int n) {
            	for(int i =2;i<=Math.sqrt(n);i++)
            		if(n%i==0) return "no";return "yes";
            }
            }