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 Lua (5.3.2) (judge verdict: Wrong Answer)

local a,b = io.read("a"):match("(%d+).(%d+)")
a,b = tonumber(a) - 1,tonumber(b)
local count = 0
local loop = true
while loop do
  if b == 0 then
    break
  end
  count = count + 1
  if b <= a * count + 1 then
    loop = false
  end
end
print(count)