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 System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ABC_Training
{
    class Program
    {
        static void Main(string[] args)
        {
            var ab = Console.ReadLine().Split(' ');
            var a = int.Parse(ab[0]);
            var b = int.Parse(ab[1]);
            Console.WriteLine(Ans(a, b));
            
        }

        static int Ans(int x,int y)
        {
            if (x >= y)
            {
                return 1;
            }

            var amari = y - x;
            var count = 1;
            while(amari > 0)
            {
                amari -= x - 1;
                count++;
            }

            return count;
        }
    }
}