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 sc=new Scanner(System.in);

		int a=sc.nextInt();
		int b=sc.nextInt();
		int total=1;
		int count=0;
		for(int i=0;;i++){
			if(total>=b){
				break;
			}
			total--;
			total+=a;
			count++;
		}
		System.out.println(count);


	}
}
