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 Python (3.4.3) (judge verdict: Wrong Answer)

input_AB = input()
AB = input_AB.split(" ")
a_0 = int(AB[0])
Sn = 1
n = 1
if int(AB[1]) == 1:
    print(0)
else:
    while Sn < int(AB[1]):
        Sn = a_0 + (n - 1) * (a_0 -1)
        if Sn >= int(AB[1]):
            break
        n = n + 1
print(n)