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 OCaml (4.02.3) (judge verdict: Wrong Answer)

let scan_int () = Scanf.scanf " %d" (fun x -> x)
let print_int n = Printf.printf "%d\n" n

let () =
  let a = scan_int() and b = scan_int() in
  let ans =
    if b < a then 1 
    else 1 + (b-2) / (a-1) in
  print_int ans