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 Scala (2.13.1) (judge verdict: Accepted)

import scala.math.abs

object Main extends App {

  val sc = new java.util.Scanner(System.in)
  val A = sc.nextInt()
  val B = sc.nextInt()
  var socket = 1
  var tap =  0
  while(socket < B) {
    socket = socket + A - 1
    tap += 1
  }
  println(tap)
}