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;


public class Main {
	
	static boolean isPrime(int n){
		if(n<=1){
			return false;
		}
		else{
			if(n<=3){
				return true;
			}
			else{
				if(n%2 == 0 || n%3==0){
					return false;
				}
				else{
					for(int i=5;(i*i)<=n;i+=6){
						if(n%i == 0 || n%(i+2) == 0){
							return false;
						}
					}
					return true;
				}
			}
		}
	}
	

	public static void main(String[] args) throws NumberFormatException, IOException {
		BufferedReader br = new BufferedReader( new InputStreamReader(System.in));
		boolean sw=true;
		int i,j = 0;
		int n=Integer.parseInt(br.readLine());
		for (i = 4; i <= n && sw; ++i) {
			if(!isPrime(i)){
				for (j = i; j <= n && sw; j++) {
					if(!isPrime(j)){
						if(i+j==n){
							sw=false;
						}
					}
				}
			}	
		}
		System.out.println((i-1)+" "+(j-1));

	}

}