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 static java.lang.System.*;
import java.math.*;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int a = sc.nextInt();
		int b = sc.nextInt();
		int cnt = 0;
		int plug = 1;
		for(;;){
			if (plug >= b) break;
			plug = plug + a - 1;
			cnt++;
		}
		out.println(cnt);
	}
}