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.Scanner;
public class sieve
{
    public static void main (String args[])
    {
        Scanner s= new Scanner(System.in);
        int i, j, x, y,c=0;
        int n= s.nextInt();
        boolean prime[]= new boolean[n+1];
        for(i=0; i<=n; i++)
        prime[i]=true;
        for(j=2; j*j<=n; j++)
        {
            if(prime[j]==true)
            {
                for(i=j*j; i<=n; i=i+j)
                {
                    prime[i]=false;
                }
            }
        }
        
        if(n%2==0)
        x=y=n/2;
        else
        {
            x=n/2;
            y=n/2+1;
        }
        while(c==0)
        {
            if(prime[x]==true || prime[y]==true)
            {
                x++;
                y--;
            }
            if(prime[x]==false && prime[y]==false)
            {
                c=1;
            }
        }      
        System.out.print(y);
        System.out.print(" ");                                         
        System.out.print(x);
    }
}