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.*;
import java.util.*;

public class Solve implements Runnable {
    public final String TASKNAME = "";
    public final boolean CONSOLE = true;


    public static void main(String[] args) {
        new Thread(new Solve()).start();
    }

    BufferedReader br;
    PrintWriter out;
    StringTokenizer in;

    public String nextToken() throws IOException {
        while (in == null || !in.hasMoreTokens()) {
            in = new StringTokenizer(br.readLine());
        }
        return in.nextToken();
    }

    public String nextLine() throws IOException {
        return br.readLine();
    }


    public int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    public double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }


    private void solve() throws IOException {
        int n = nextInt();
        boolean[] primes = new boolean[n];
        fillSieve(primes);

        for (int i = 4; i < n; i++) {
            int b = n - i;
            if (!primes[i] && !primes[b]) {
                out.print(i + " " + b);
                return;
            }
        }
    }

    public void fillSieve(boolean[] primes) {
        Arrays.fill(primes, true);
        primes[0] = primes[1] = false;
        for (int i = 2; i < primes.length; i++) {
            if (primes[i]) {
                for (int j = 2; i * j < primes.length; j++) {
                    primes[i * j] = false;
                }
            }
        }
    }

    public void run() {
        try {
            if (CONSOLE) {
                br = new BufferedReader(new InputStreamReader(System.in));
                out = new PrintWriter(System.out);
            } else {
                br = new BufferedReader(new FileReader(new File(TASKNAME + ".in")));
                out = new PrintWriter(new File(TASKNAME + ".out"));
            }

            solve();

            out.flush();
            out.close();
        } catch (IOException e) {
            e.printStackTrace();
            System.exit(1);
        }

    }
}