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>

int main()
{
    int a, b, t=0, c=0;
    scanf("%d %d", &a, &b);
    if(b == 1)
    {
        printf("0\n");
        return 0;
    }
    if(b == 2)
    {
        if(a >= b)
        {
            printf("1\n");
            return 0;
        }
    }

    while(c<=b)
    {
        c += (a-1);
        t++;
        if(c+1>b)
            break;
    }

    printf("%d\n", t);

    return 0;
}