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 Fortran (gfortran v4.8.4) (judge verdict: Accepted)

program sample
    implicit none
    real(8)::x,y,z
    integer(8) :: a,b,c,i,j,m,n,k,a1,b1,c1
    
    
  
    read(*,*) a,b
    n=0
    do while (a*n-n+1<b)
        n=n+1
    end do
    
    write(*,*) n
    
    stop
end program sample