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)

def _input():
    array = input().split()
    number_array = []
    for i in array:
        number_array.append(int(i))
    return number_array[0], number_array[1]

def number_of_taps(a, b):
    result = 1
    tmp = a
    while True:
        if a >= b:
            break
        result += 1
        a = result * tmp

    return result

if __name__ == "__main__":
    a,b = _input()
    print(number_of_taps(a,b))