Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

4 10

Sample Output 1

3

3 power strips, each with 4 sockets, extend the socket into 10 empty sockets.

Sample Input 2

8 9

Sample Output 2

2

2 power strips, each with 8 sockets, extend the socket into 15 empty sockets.

Sample Input 3

8 8

Sample Output 3

1

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

	import java.util.Scanner;
 
public class Main {
 
	public Main() {
		// TODO 自動生成されたコンストラクター・スタブ
	}
 
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int answer,index;
		int a,b;
		String s,t;
		
			// 整数の入力
		
		a = sc.nextInt();
		b = sc.nextInt();
		sc.close();
		
		answer=(b-1+a-2)/(a-1);
		System.out.print(answer);

			// 出力
 
	}
}