Snuke has N integers. Among them, the smallest is A, and the largest is B. We are interested in the sum of those N integers. How many different possible sums there are?

Constraints

* 1 ≤ N,A,B ≤ 10^9
* A and B are integers.

Input

Input is given from Standard Input in the following format:


N A B


Output

Print the number of the different possible sums.

Examples

Input

4 4 6


Output

5


Input

5 4 3


Output

0


Input

1 7 10


Output

0


Input

1 3 3


Output

1
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		int N = in.nextInt();
		int A = in.nextInt();
		int B = in.nextInt();
		if ((N == 1 && B != A) || A > B) {
			System.out.println(0);
		} else {
			long min = B - A;
			long max = min * (N - 1);
			System.out.println(max - min + 1l);
		}
		in.close();
	}
}