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;
class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int socket = sc.nextInt();
    int need = sc.nextInt();
    if(need == 1){
      System.out.println(0);
    }else if(socket == 1){
      System.out.println(need);
    }else if(need <= socket){
      System.out.println(1);
    }else if((need - socket) % (socket - 1) == 0){
      System.out.println(1 + (need - socket) / (socket - 1));
  }else{
    System.out.println(2 + (need - socket) / (socket - 1));
  }
}
}