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)

#pragma GCC optimize("-O3")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
void Main();
#ifdef ConanYu
#include "local.hpp"
#else
#define debug(...) do { } while(0)
int main() {
  ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
  Main();
}
#endif

void Main() {
  int a, b; cin >> a >> b;
  cout << ((a + b - 1) / a) << "\n";
}