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 DesignTutorialLearnFromMath{
	public static boolean checkComposite(int n)
	{
		int c = 1;
		for(int i = 1 ; i <= n ; i++)
		{
			if(n%i==0)
				c++;
			if(c>3)
				break;
		}
		if(c>3)
			return true;
		else
			return false;

	}
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		boolean flag = true;
		if(n%2==0)
		{
			int n1 = n/2;
			int n2 = n/2;
			while(flag )
			{
				flag = !(checkComposite(n1) && checkComposite(n2));				
				--n1;
				++n2;
			}
			System.out.println((++n1)+" "+(--n2));
		}
		else
		{
			int n1 = n/2;
			int n2 = n/2+1;
			while(flag)
			{
				//System.out.println(n1+" " + n2+ " " +!(checkComposite(n1) && checkComposite(n2)));
				flag = !(checkComposite(n1) && checkComposite(n2));				
				--n1;
				++n2;
			}
			System.out.println((++n1)+" "+(--n2));
		}

	}
}