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.Scanner;

public class Main { 
    public static void main(String[] args) {
    	Scanner sc = new Scanner(System.in);
    	String[] inputNumber = sc.nextLine().split(" ");
    	int tap = Integer.parseInt(inputNumber[0]);
    	int neededTap = Integer.parseInt(inputNumber[1]);
    	
    	int result = 0;
    	
    	for(int i = 1;;i++) {
    		
    		int allTap = 0;
    		if(i == 1) {
    			allTap = tap;
    		}else {
    			allTap = tap + (tap-1)*i;
    		}
    		
    		if(allTap >= neededTap) {
    			result = i;
    			break;
    		}
    		
    		
    	}
    	System.out.println(result);
    }
}