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 Main{
    public static void main(String[] args) {
        Scanner in=new Scanner(System.in);
        int n =in.nextInt();
        ArrayList<Integer> f =new ArrayList();
        boolean d[]=new boolean [n+1];
        Arrays.fill(d, true);
        d[0]=false;
        d[1]=false;
        for (int i = 2; i < d.length; i++) {
            if (d[i]==true) {
                for (int j = i*2; j < d.length; j+=i) {
                    d[j]=false;
                    f.add(j);
                }
            }
        }int con=0;
        for (int i = 0; i < f.size(); i++) {
            for (int j = 0; j <f.size(); j++) {
                if (f.get(i)+f.get(j) == n) {
                    System.out.println(f.get(i)+" "+f.get(j));
                    con++;
                    break;
                }
            }
            if (con==1) {
                break;
            }
        }
    }
}