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.

Examples

Input

4 10

Output

3

Input

8 9

Output

2

Input

8 8

Output

1

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