#D6569. Power Socket
Power Socket
Power Socket
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
inputFormat
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
outputFormat
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
样例
4 103