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.*;

public class Main
{
  public static void main(String args[])
  {
    Scanner scan = new Scanner(System.in);
	int a = scan.nextInt();
	int b = scan.nextInt();
	int count=0,non=1;
	while((a>0)&&(b>0))
	{
		if(non>=b)
		{
			break;
		}
		else
		{
			non=non-1+a;
			count++;
		}
	}
	System.out.println(count);
  }
}
		