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.InputStreamReader;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.InputStream;
import java.util.Arrays;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class MainA {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskA solver = new TaskA();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskA {
    public boolean isComposite(int x) {
    	for (int i = 2; i < x; i++) {
		if (x % i == 0) return true;
	}
	return false;
    }
    public void solve(int testNumber, InputReader in, PrintWriter out) {
	int n = in.nextInt();
	// for (n = 12; n <= 1000000; n++) {
	int others = -1;
	int leftovers = -1;

	if (n % 2 == 0) {

		others = 4;
		leftovers = n - others;

		//return;
	} 
	else if (n < 20) {
		others = n - 9;
		leftovers = 9;
		//return;
	}
	else {	
		leftovers = (n % 10) + 5;
		others = n - leftovers;
	}
	// out.write(n + ":");
	out.write(others + " " + leftovers + "\n");
	
	/*
	if (!(isComposite(others) && isComposite(leftovers) && leftovers + others == n)) {
		out.write("BAD\n"); 
		return;
	}
	} */
	
    }
}

class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

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

}