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 A470 {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		
	Scanner sc = new Scanner(System.in);
	
	int n=sc.nextInt();
	
	int start=4;
	
	
	while(true){
		
		if((start%2==0||start%3==0)&&((n-start)%2==0||(n-start)%3==0))
		{
			System.out.println(start+" "+(n-start));
			return;
		}
		else 
		start++;
		
		
		
	}
	
	
		
		
	}
}