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.

4 10

3

$3$ power strips, each with $4$ sockets, extend the socket into $10$ empty sockets.

8 9

2

$2$ power strips, each with $8$ sockets, extend the socket into $15$ empty sockets.

8 8

1