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.ArrayList;
import java.util.Arrays;
import java.util.Scanner;
public class Main {

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