Takahashi's house has only one socket.

Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets.

One power strip with A sockets can extend one empty socket into A empty sockets.

Find the minimum number of power strips required.

Constraints

* All values in input are integers.
* 2 \leq A \leq 20
* 1 \leq B \leq 20

Input

Input is given from Standard Input in the following format:


A B


Output

Print the minimum number of power strips required.

Examples

Input

4 10


Output

3


Input

8 9


Output

2


Input

8 8


Output

1
import java.util.*;
import java.math.*;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		// 整数の入力

		int a = sc.nextInt();
		int b = sc.nextInt();


		for (int i = 0; i <= 20; i++) {
			int now = 1 + (a-1)*i;
			if(now >= b){
				System.out.println(i);
				break;
			}
		}

	}
}
