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.util.*;
public class Codeforces472A
{ 
   public boolean composite(int a)
    {
            if(a<=3)
            return false;
      int count=0;
         for(int i = 2 ; i <= a/2 ; i++)
         {
                  if(a%i==0)
                       {
                           count++;      
                 if(count==1)
                  {
                  return true;
                   }            
                        }

           }
          return false;      

    }
   public static void main(String args[])
    {
            Codeforces472A d = new Codeforces472A();
          Scanner cin = new Scanner(System.in);
          int n = cin.nextInt();
         int b;
                    for(int  i =  4 ; i <n ;i++)
                        {
                            if(d.composite(i))           
                                    {
                                           b = n  - i ;
                                         if(d.composite(b))
                                              {
                                      System.out.println(b + " " + i);
                                            break;
                                               }                        
                                     }
                            }
   }
}