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 in=new Scanner(System.in);
      int A=in.nextInt();
      int B=in.nextInt();
      
      int res=0;
      int strip=1;
      while(strip<B){
      	strip=strip-1+A;
        res++;
      }
      System.out.println(res);
      in.close();
    }
}