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:
//package codeforces;
import java.io.*;
import java.util.*;
import java.*;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Random;
import java.lang.*;


 
public class zadacha {
private static BufferedReader in;
private static StringTokenizer tok;
private static PrintWriter out;
final static boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") !=null;
 
public static void init() throws FileNotFoundException{
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("out.txt");
}
}
 
private static String readString() throws IOException {
while (tok == null || !tok.hasMoreTokens()) {
tok = new StringTokenizer(in.readLine());
}
return tok.nextToken();
}
 
private static int readInt() throws IOException {
return Integer.parseInt(readString());
}
private static double readDouble() throws IOException {
return Double.parseDouble(readString());
}
private static long readLong() throws IOException {
return Long.parseLong(readString());
}
private static float readFloat() throws IOException{
    return Float.parseFloat(readString());
}
  
public static void Solve() throws IOException{

	int n = readInt();
	if(n%2 ==0 )
		out.print("4 "+(n-4));
	else out.print("9 "+(n-9));
}
    

public static void main(String[] args) throws IOException {
init();
Solve();
 
 
in.close();
out.close();
}
}