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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

import sys
a, b = map(int, input().split())
c = 0
s = 1

if b == 1:
    print(0)
    sys.exit()

while True:
    for e in range(1, s+1):
        c += 1
        s = s - 1 + e * a
        if s >= b:
            print(c)
            break
    else:
        continue
    break