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;

namespace ConsoleApp2
{
	class Program
	{
		static void Main(string[] args)
		{
			var input = Console.ReadLine().Split();
			int a = int.Parse(input[0]);
			int b = int.Parse(input[1]);

			int taps = 0;
			int remain = 1;

			for (; ; )
			{
				if (b <= remain)
				{
					break;
				}
				else
				{
					remain--;
					taps++;
					remain += a;
				}
			}
			Console.WriteLine(taps);
		}
	}
}