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;
    class Program
    {
        static void Main(string[] args)
        {
            string[] a1 = Console.ReadLine().Split(' ');
            int[] s1 = new int[2];
            for(int i=0;i<2;i++)
            {
                s1[i] = int.Parse(a1[i]);
            }

            int hole = 1;
            int count = 0;
            while(hole<s1[1])
            {
                hole += s1[0];
                hole -= 1;
                count+=1;
            }
           
            Console.WriteLine(count);
            Console.ReadLine();
           
        }
    }