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;
using System.Net;
using System.Security.Cryptography.X509Certificates;
using System.Text.RegularExpressions;
using Console = System.Console;

namespace Atcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var l = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
            var A = l[0];
            var B = l[1];
            int ret = 0;
            if (B == 1)
            {
                Console.WriteLine(ret);
                return;
            }
            while (B > 0)
            {
                if (A >= B)
                {
                    B -= A;
                }
                else
                {
                    B -= A - 1;
                }
                ret++;
            }
            Console.WriteLine(ret);
        }
    }
}