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 Salamander
{
	public static void main(String[] args)
	{
		Scanner s = new Scanner(System.in);
		int n = s.nextInt();
		if(n%2==0 && isComp(n/2))
			System.out.println(n/2+" "+n/2);
		else
		{
			for(int i=4; i<n ; i=i+2)
			{
				if(isComp(n-i))
				{	System.out.println(n-i+" "+i );
					break;
				}
			}

		}

	}
	public static Boolean isComp(int n)
	{	Boolean flag = false;
		double x = Math.sqrt(n);
		for(int i=2; i<=x; i++)
		{
			if(n%i==0)
			{
				flag=true;
				break;
			}
		}
		return flag;
	}
}