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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;


public class LearnMath {
	
	public static void main(String[] args) throws IOException {
		
		String input;
		int n;
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		input = reader.readLine();
		n = Integer.parseInt(input);
				
		int N = (int) Math.pow(10, 6);
        boolean[] isPrime = new boolean[N + 1];

        Arrays.fill(isPrime, true);

        for (int i = 2; i*i <= N; i++) {

            if (isPrime[i]) {
                for (int j = i; i*j <= N; j++) {
                    isPrime[i*j] = false;
                }
            }
        }
        
        if(n == 12) { System.out.println("6 " + "6");}
        else{
        
        	if(isPrime[n-10]) System.out.println("9 " + (n-9));
        	else System.out.println("10 " + (n-10));
        
        }
    }
        
        
}