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.*;
class Main
{
  public static void main(String [ ]args)
  {
    Scanner sc = new Scanner(System.in);
    int A= sc.nextInt();
    int B =sc.nextInt();
    int sum=1;
    int count=0;
    
    while(sum<B)
    {
      count++;
      sum+=(A-1);
    }
    System.out.println(count);
  }
  
}