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.io.*;
import java.util.*;
import java.math.*;

public class Main{
	static final BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	static int tc;
	static final int MOD=1_000_000_007;
	public static int[] inputArray(String str){
		String[] s=str.split(" ");
		int[] array=new int[s.length];
		for(int i=0;i<s.length;i++) {
			array[i]=Integer.parseInt(s[i]);
		}
		return array;
	}
	public static void main(String[] args)throws IOException {
		//tc=Integer.parseInt(br.readLine());
		tc=1;
		while(tc-->0) {
			String[] s=br.readLine().split(" ");
			int A=Integer.parseInt(s[0]);
			int B=Integer.parseInt(s[1]);
			long multiply=0;
			long factor=0;
			while(multiply<B) {
				factor++;
				multiply=A*factor;
			}
			System.out.println(factor);
		}
	}
}