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 Julia (0.5.0) (judge verdict: Wrong Answer)

parseInt(x) = parse(Int,x)

function main()
  A,B = map(parseInt,split(readline()))
  if A < B
    r = div(B-A,A-1)
    rem(B-A,A-1) == 0 ? c=r+1 : c=r+2
  else
    c = 1
  end
  println(c)
end

main()