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 MathProb {
    
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        int left;
        // less than 12
        int primes[] = {2,3,5,7,11}; 
        for (int i = 2; i< n; i++) {
            left = n-i;
            boolean is_com = false;
            for (int prime:primes) {
                if (i%prime == 0 && prime!= i) {
                    is_com = true;
                    break;
                }
            }
            boolean is_ans = false;
            if (is_com) {
                for (int prime:primes) {
                    if (left%prime == 0 && prime!= left) {
                        is_ans = true;
                        break;
                    }
                }
            }
            if (is_ans) {
                System.out.print(i+" "+left);
                break;
            }
            
        }
    }
}