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 Perl (v5.18.2) (judge verdict: Wrong Answer)

#!/bin/perl

use strict;

my $st = <STDIN>;

chomp $st;
my ($a, $b) = split(/ /, $st);

my $ports = $a;
for ( my $tap=1; $tap<=$b; $tap++ ) {
#	print "$tap: $ports\n";
	if ( $b <= $ports ) {
		print "$tap\n";
		last;
	}
	$ports = $ports - 1 + $a;
}