#include <iostream>

using namespace std;

int main(void) {
    int A, B;
    cin >> A >> B;
    cout << (B+A-3) / (A-1) << endl;
    return 0;
}

### Prompt

Please provide a CPP coded solution to the problem described below:

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.

Examples

Input

4 10


Output

3


Input

8 9


Output

2


Input

8 8


Output

1

### Response

```cpp
#include <iostream>

using namespace std;

int main(void) {
    int A, B;
    cin >> A >> B;
    cout << (B+A-3) / (A-1) << endl;
    return 0;
}

```