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++ (GCC 9.2.1) (judge verdict: Accepted)

// 15:20-15:25
#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (n); ++i)
using namespace std;
typedef long long ll;

int main(){
    int A, B;
    cin >> A >> B;

    int cnt = 0;
    while(1 + (A - 1) * cnt < B){
        cnt++;
    }
    
    cout << cnt << endl;

    return 0;
}