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.

Input

Input is given from Standard Input in the following format:
A B

Output

Print the minimum number of power strips required.

Constraints

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

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

见题面 Input 部分

见题面 Output 部分