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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<iostream>
#include<cstdlib>
#include<string>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
using ll = long long int;
const int mod = 1e9 + 7;
#define rep(i, a, b) for(int i = a;i < b; i++)

int main() {

	int a, b;
	cin >> a >> b;

	int count = b / a;
	if (b % a != 0)count++;

	if (a * count - count + 1 < b) count++;

	cout << count << endl;

	return 0;
}