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 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include "iostream"

using namespace std;

int main(void){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int A, B, count, result = 0;

    cin >> A >> B;
    for (result = 1; B > (result * A) + result - 1; result++){}

    cout << result << "\n";
    return 0;
}