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 LearnfromMath {
	public static void main (String [] args){
		Scanner input=new Scanner (System.in);
		int n=input.nextInt();
		int num1=n-4;
		int num2=4;
		while((composite(num1)==false) || (composite(num2)==false)){
			num1--;
			num2++;
			
		}
		System.out.print(num1+" "+num2);
	}
	public static boolean composite (int num){
		boolean composite=false;
		int sum=0;
		for(double i=2;i<=Math.sqrt(num);i++){
			if(num % i ==0 ){
				sum++;
			}
		}
		if(sum>=1){
			composite=true;
		}
		return composite;
	}
}