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 prac_designtutorial {

	public static void main(String[] args) {
		
		Scanner scanner = new Scanner(System.in);
		
		int x = scanner.nextInt();
		int sum = 0;
		int value1 = 0;
		int value2 = 0;
		
		for(int i = 2; i<x-1; i++)
		{
			value1 = i;
			for(int j = i+1; j<x;j++)
			{
				value2 = j;
				sum = i+j;
				if(sum == x)
				{
					if(value1%2 == 0 && value1 != 2|| value1%3 == 0 && value1 != 3 || value1%5 == 0 && value1 != 5 || value1%7 == 0 && value1 != 7)
					{
						
					value1 = i;
					
					if(value2%2 == 0 && value2!= 2|| value2%3 == 0 && value2 != 3 || value2%5 == 0 && value2 != 5 || value2%7 == 0 && value2 != 7)
					{
					value2 = j;
					System.out.print(value1);
					System.out.print(" ");
					System.out.println(value2);
					return;
					
					}
					
					}
					
					
					
			}
			}
			sum = 0;
		}
		
		

	}

}