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: Wrong Answer)

   using System;
   class Program
    {

        static void Main()
        {
            string[] input = Console.ReadLine().Split(' ');
            int a = int.Parse(input[0]);
            int b = int.Parse(input[1]);
            int kon = 0;
            int quant = 0;
            if (a == 1)
            {
                Console.WriteLine(1);
                return;
            }
            while (true)
            {
                quant++;
                if (quant == 1)
                {
                    kon += a;
                }
                else
                {
                    kon += a;
                    kon--;
                }
                if (kon >= b)
                {
                    Console.WriteLine(quant);
                    return;
                }
            }

        }
    }