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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php
$a_b = explode(" ", trim(fgets(STDIN)));

if($a_b[1] == 1) {
    echo 0;
} else {
    $count = $a_b[0];
    
    $tap = 1;
    for ($i = 0; $i < 10000; $i++) {
         if($count >= $a_b[1]){
             break;
         }
         $count += $a_b[0] - 1;
         $tap++;
    }
    
    echo $tap;
}