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.*;
import java.math.*;

public class A472 implements Runnable {

    public void solve() throws Exception {

        int n = nextInt();
        for(int i=4;i<=n/2;i++){
            if(isPrime(i) || isPrime(n-i)){
                continue;
            }

            out.println(i+" "+(n-i));
            break;
        }

    }

    private boolean isPrime(int n) {
        return (n+5)%6==0 || (n-5)%6==0;
    }

    /*******************************************************************************/

    public static void main(String[] args) throws Exception {
        new Thread(null, new A472(), "", 1 << 26).start();
    }

    BufferedReader in;
    PrintWriter out;
    StringTokenizer st;

    final String fname = "";

    private String next() throws Exception {
        if (st == null || !st.hasMoreElements())
            st = new StringTokenizer(in.readLine());
        return st.nextToken();
    }

    private int nextInt() throws Exception {
        return Integer.parseInt(next());
    }

    private long nextLong() throws Exception {
        return Long.parseLong(next());
    }

    private double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }

    public void run() {
        try {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(new OutputStreamWriter(System.out));

            solve();
        } catch (Exception ex) {
            throw new RuntimeException(ex);
        } finally {
            out.close();
        }
    }


}