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.awt.*;
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.Map.Entry;

import static java.lang.Math.*;

public class Solution implements Runnable {
    final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");
    String delim = "";

    String readString() throws IOException {
        try {
            while (!tok.hasMoreTokens()) {
                tok = new StringTokenizer(in.readLine());
            }
            return tok.nextToken();
        } catch (Exception e) {
            return null;
        }
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }

    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    Point readPoint() throws IOException {
        return new Point(readInt(), readInt());
    }

    // ----------------------------------

    public class Pair<T1, T2> {
        public T1 x1;
        public T2 x2;

        public Pair() {
        };

        public Pair(T1 x1, T2 x2) {
            this.x1 = x1;
            this.x2 = x2;
        }

        public String toString() {
            return x1 + ":" + x2;
        }
    }

    public class Three {
        public int x, y, z;

        public Three() {
        }

        public Three(int a, int b, int c) {
            x = a;
            y = b;
            z = c;
        }

        public String toString() {
            return x + ":" + y + ":" + z;
        }
    }

    // ----------------------------------------
    
    
    void solve() throws NumberFormatException, IOException {
        
        int x = readInt();
        if (x%2==0){
            out.println(4+" "+(x-4));
        }else{
            out.println(9+" "+(x-9));
        }
    }

    // ----------------------------------------
    public static void main(String[] args) {
        new Thread(null, new Solution(), "", 256 * (1L << 20)).start();
    }

    public void run() {
        try {
            timeBegin = System.currentTimeMillis();

            try {
                if (ONLINE_JUDGE) {
                    in = new BufferedReader(new InputStreamReader(System.in));
                    out = new PrintWriter(System.out);
                } else {
                    in = new BufferedReader(new FileReader("input.txt"));
                    out = new PrintWriter("output.txt");
                }
            } catch (Throwable e) {
                in = new BufferedReader(new InputStreamReader(System.in));
                out = new PrintWriter(System.out);
            }
            solve();
            out.close();

            timeEnd = System.currentTimeMillis();
            if (!ONLINE_JUDGE)
                System.err.println("Time = " + (timeEnd - timeBegin));
        } catch (Exception e) {
            e.printStackTrace(System.err);
            System.exit(-1);
        }
    }

    long timeBegin, timeEnd;
}