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 CF472A {
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        boolean[] composite = preprocessing();

        int n = Integer.parseInt(br.readLine());
        for (int i = n/2+1; i > 0; i--) {
            if (composite[i] && composite[n - i]) {
                System.out.println(String.format("%s %s", i, n - i));
                break;
            }
        }


    }

    private static boolean[] preprocessing() {
        final int limit = 2500002;
        boolean[] composites = new boolean[limit + 5];
        Arrays.fill(composites, Boolean.FALSE);
        for (int i = 2; i < limit; i++) {
            if (!composites[i]) {
                for (int j = i * 2; j < limit; j += i) {
                    composites[j] = true;
                }
            }
        }
        return composites;
    }
}