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.io.PrintWriter;
import java.util.ArrayList;
import java.util.StringTokenizer;
	
	public class A472 {
		BufferedReader br;
		StringTokenizer in;
		PrintWriter out;
		
		public String nextToken() throws IOException {
		    while (in == null || !in.hasMoreTokens()) {
		        in = new StringTokenizer(br.readLine());
		    }

		    return in.nextToken();
		}

		public int nextInt() throws IOException {
		    return Integer.parseInt(nextToken());
		}

		public long nextLong() throws IOException {
		    return Long.parseLong(nextToken());
		}

		public double nextDouble() throws IOException {
		    return Double.parseDouble(nextToken());
		}
		
		public void solve() throws IOException {
			br = new BufferedReader(new InputStreamReader(System.in));
	        out = new PrintWriter(System.out);
	       
	        int n = nextInt();
	        
	        boolean [] primes = new boolean[n+1];
	        int max = (int)Math.sqrt(primes.length);
	        for(int i = 2 ; i <= max ; i++)
	        {
	        	if(!primes[i]) {
		        	for(int j = i * i; j < primes.length ; j+=i) {
		        		primes[j] = true;
		        	}
	        	}
	        }
	        for(int i = 2 ; i < n ; i++) {
	        	int diff = n - i;
	        	if(primes[i] && primes[diff]) {
	        		out.println(i+" "+diff);
	        		break;
	        	}
	        }
	        
	        out.close();
		}
		
		public static void main (String [] args) throws IOException {
			new A472().solve();
		}
	}