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();
		
		boolean[] a = new boolean[n+1];
		
		for(int i = 2; i<n+1; i++){
			for(int j=2;i*j<n+1; j++){
				a[i*j]=true;
			}
		}
		
		int x = 0;
		int y = 0;
		
		for(int i = 0; i<n+1; i++){
			if(a[i] && a[n-i]){
				x=i;
				y=n-i;
				break;
			}
		}
		
		System.out.println(x + " " + y);
	}
}