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.image.ReplicateScaleFilter;
import java.io.IOException;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.text.NumberFormat;
import java.text.ParseException;
import java.util.Arrays;
import java.util.Calendar;
import java.util.Date;
import java.util.HashMap;
import java.util.Locale;
import java.util.Map;
import java.util.Scanner;
import java.util.Vector;
import java.util.regex.Pattern;
import java.util.regex.PatternSyntaxException;



public class chicke {
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
         BigInteger n=sc.nextBigInteger();
         BigInteger a=BigInteger.valueOf(4);
         BigInteger b;
         while(true){
        	 if(!a.isProbablePrime(100)){
        		 b=n.subtract(a);
        		 if(!b.isProbablePrime(100)){
        			 System.out.println(a+" "+b);
        			 break;
        		 }
        		 }
        	 
        		 
        			 a=a.add(BigInteger.valueOf(1));
        		 
        		 
        		 
        	 
        		 
        	 
        	 
        	 
        	 
        	 
        	 
         }
         
		
	}
	
	}