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.Arrays;
import java.util.Scanner;

/**
 *
 * @author MiloMurphy
 */
public class OtherConjecture {
    static boolean p[] = new boolean[1000005];
    public static void main(String[] args){
        Scanner s = new Scanner(System.in);
        int t = 1; // s.nextInt();
        while(t-- > 0)
            solve(s);
    }
    public static void solve(Scanner s){
        int n = s.nextInt();
        Arrays.fill(p, true);
        
        for(int i = 2; i * i < p.length; ++i){
           if(p[i]){
               for(int j = i + i; j < p.length; j += i ){
                   p[j] = false;
               }
           } 
        }
        for(int i = 4; i < (n / 2) + 1; ++i){
            if(!p[i] && !p[n - i]){
                System.out.println(i + " " +(n - i));
                break;
            }
        }
    }
}