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;
using static System.Console;
using System.Collections.Generic;
using System.Linq;

namespace Atcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var input = InputNumList();
            int a = input[0];
            int b = input[1];
            int tmp = a;

            int cnt = 1;
            while (true)
            {
                if (a >= b) break;
                a += tmp;
                a -= 1;
                cnt++;
            }

            WriteLine(cnt);
        }

        static int InputNum()
        {
            return int.Parse(ReadLine());
        }
        static List<int> InputNumList()
        {
            return ReadLine().Split(' ').Select(int.Parse).ToList();
        }
    }
}