Problem:
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.

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

Solution in Rust (1.42.0) (judge verdict: Wrong Answer)

use proconio::input;

fn main() {
    input! {
        a: usize,
        b: usize,
    }

    solve(a, b);
}

fn solve(a: usize, b: usize) {
    match b.cmp(&a) {
        std::cmp::Ordering::Equal => println!("{}", 1),
        std::cmp::Ordering::Less => println!("{}", 1),
        _ => match (b + 1) % a {
            0 => println!("{}", (b + 1) / a),
            _ => println!("{}", (b + 1) / a + 1),
        },
    }
}