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.*;
import java.io.*;

public class A472 {
	public static void main(String[] args) throws Exception {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));

		int n = Integer.parseInt(in.readLine());

		if(n % 2 == 0) {
			addends(n / 2, n / 2);
		} else {
			addends(n / 2, n / 2 + 1);
		}
		
		
	}

	public static void addends(int a, int b) {
		if(isComposite(a) && isComposite(b)) {
			System.out.println(a + " " + b);
		} else {
			addends(a - 1, b + 1);
		}
	}

	public static boolean isComposite(int x) {
		for(int i = 2; i < x; i++) {
			if(x % i == 0) {
				return true;
			}
		}
		return false;
	}
}