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.Scanner;

public class Solution {
	public static boolean[] prime = new boolean[1000001];
	public static boolean isPrime(int n) {
		int maxN = 1000000;
		for (int i = 2; i <= maxN; i++) prime[i] = true;
		for (int i = 2; i*i <= maxN; i++)
			if (prime[i])
				for (int j = i*i; j <= maxN; j+=i)
					prime[j] = false;
		return prime[n];
	}
	public static void main(String args[]) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		for (int i = 2; i <= n/2; i++) {
			if (!isPrime(i) && !isPrime(n-i)) {
				System.out.println(i +" "+ (n - i));
				break;
			}
		}
		sc.close();
	}
}