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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

    using System;
    using System.Collections.Generic;
    using System.Linq;

    namespace b
    {
        class Program
        {
            static void Main(string[] args)
            {
                var _ = Console.ReadLine().Split();
                var a = int.Parse(_[0]);
                var b = int.Parse(_[1]);

                var count = 0;
                var socket = 1;

                while(b > socket){
                    socket += a - 1;
                    count++;
                }

                Console.WriteLine(count);
            }
        }
    }