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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Objects;
import java.util.Scanner;

public class Main {
    public static void main(final String[] args) {
        final int p = 2;
        switch (p) {
        case 1:
            P1.p1();
            break;
        case 2:
            P2.answer();
            break;
        case 3:
            P3.answer();
            break;
        }
    }
}

class P3 {
    static void answer() {
        final Scanner sc = new Scanner(System.in);
        final int a = sc.nextInt();
        final int b = sc.nextInt();
//        final int res = calc(a, b);
//        System.out.println(res);
    }

}

class P2 {
    static void answer() {
        final Scanner sc = new Scanner(System.in);
        final int a = sc.nextInt();
        final int b = sc.nextInt();
        final int res = calc(a, b);
        System.out.println(res);
    }

    static int calc(final int a, final int b) {
        final int per = a - 1;
        final int remain = b - 1;
        final int x = remain / per;
        System.out.println("" + per + "," + remain + "," + x);
        if (remain - (per * x) > 0) {
            return x + 1;
        }
        return x;
    }
}

class P1 {

    static void p1() {
        final Scanner sc = new Scanner(System.in);
        final String yohou = sc.nextLine();
        final String jissai = sc.nextLine();

        final int res = calc(yohou, jissai);
        System.out.println(res);
    }

    static int calc(final String yohou, final String kekka) {
        int res = 0;
        for (int i = 0; i < 3; i++) {
            if (Objects.equals(yohou.charAt(i), kekka.charAt(i))) {
                res++;
            }
        }
        return res;
    }
}