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.

Input is given from Standard Input in the following format:

```
$A$ $B$
```

Print the minimum number of power strips required.

-   All values in input are integers.
-   $2 \leq A \leq 20$
-   $1 \leq B \leq 20$

3

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

2

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