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.*;

public class NastyaAndRice {
    public static void main(String[] args) {
        FastReader fs = new FastReader();
        int n = fs.nextInt();
        int counter = 0;
        int outputOne = 0, outputTwo = 0;
        while(n > counter) {
            int diff = n - counter;
            if(isBothPrime(diff, counter)) {
                outputOne = diff;
                outputTwo = counter;
                break;
            }
            counter++;
        }
        System.out.println(outputOne + " " + outputTwo);
    }

    private static boolean isBothPrime(int one, int two) {
        return checkIfPrime(one) && checkIfPrime(two);
    }

    private static boolean checkIfPrime(int n) {
        boolean isPrime = false;
        int counter = 2;
        while(counter < n) {
            if(n % counter == 0) {
                isPrime = true;
                break;
            }
            counter++;
        }
        return isPrime;
    }

    static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;
        public FastReader()
    {
        br = new BufferedReader(new
                InputStreamReader(System.in));
    }

    String next()
    {
        while (st == null || !st.hasMoreElements())
        {
            try
            {
                st = new StringTokenizer(br.readLine());
            }
            catch (IOException  e)
            {
                e.printStackTrace();
            }
        }
        return st.nextToken();
    }

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

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

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

    String nextLine()
    {
        String str = "";
        try
        {
            str = br.readLine();
        }
        catch (IOException e)
        {
            e.printStackTrace();
        }
        return str;
    }
}
}