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 = Integer.parseInt(sc.next());
	    int b = Integer.parseInt(sc.next());
	    
	    int counter = 0;
	   
	    while(a * counter - (counter - 1) < b) {
	        ++counter;
	    }
	    System.out.println(counter);
	  
	}
}