How many ways are there to choose two distinct positive integers totaling N, disregarding the order?

Constraints

* 1 \leq N \leq 10^6
* N is an integer.

Input

Input is given from Standard Input in the following format:


N


Output

Print the answer.

Examples

Input

4


Output

1


Input

999999


Output

499999
import java.util.Scanner;

public class Main {
	public static void main (String args[]) {
		
		Scanner scan = new Scanner(System.in);
        String str = scan.nextLine();
        
        int i = Integer.parseInt(str);
        
        if (1 <= i && i <= 1000000) {
        	if (i % 2 == 0) {
        		i = i / 2 - 1;
        	} else {
        		i = (i - 1) / 2;
        	}
        	System.out.println(i);
        }
        return;
	}
}
