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:
//package difficulty_800;

import java.util.Scanner;

public class LearnFromMath {

	/*
	 * composite cannot be prime
	 */
	public static void main(String[] args) {

		try (Scanner sc = new Scanner(System.in)) {
			int number = sc.nextInt();
			int x, y;
			if (number % 2 != 0) {
				x = number/2;
				y = x + 1;
				while (isPrime(x) || isPrime(y)) {
					x--;
					y++;
				}
			} else {
				x = number/2;
				y = x;
				while (isPrime(x) || isPrime(y)) {
					x--;
					y++;
				}
			}
			System.out.println(x + " " + y);
		}
	}

	private static boolean isPrime(int num) {
		if (num < 2)
			return false;
		for (int i = 2; i < num; i++) {
			if (num % i == 0) {
				return false;
			}
		}
		return true;
	}

}