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 Main {

    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);

        int number = sc.nextInt();
        int i;

        for ( i = number / 2; i >= 4; i--) {

            if(isComposite(i) && isComposite(number-i)){
                break;
            }


        }
        System.out.print(i);
        System.out.print(" ");
        System.out.print(number - i);


    }

    public static boolean isComposite(int number) {
        int i;
        for (i = 2; i <= Math.sqrt(number); i++) {
            if (number % i == 0) {
                return true;
            }
        }
        return false;
    }
}
//            for (j = 2; j <= Math.sqrt(number); j++) {
//                if (i % j == 0) {
//                    for (k = 2; k <= Math.sqrt(number); k++) {
//                        if (number - i % k == 0) {
//                            System.out.println(1);
//                        }
//                    }
//                }
//            }
//            if(result > 0){
//                break;
//            }