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 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdbool.h>
#include <stdlib.h>
#include <math.h>
#define DEBUG

int main()
{
    int a, b;
    //read
    scanf("%d %d", &a, &b);

    //solve
    int ans = 1;
    int sum = a;
    while (true)
    {
        if(sum >= b)
        {
            goto OUT;
        }
        if(sum < b)
        {
            sum += a - 1;
        }
        ans++;
    }
    
    //write
    OUT:
    printf("%d\n", ans);

    return 0;
}