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<stdlib.h>

void init(char s[], int size)
{
	for (int i = 0; i < size; i++)
	{
		s[i] = '\0';
	}
}

int main(void)
{
	
	int a, b, d;
	int count = 1, i = 0;
	char c, temp[4];

	init(temp, 4);

	while ((c = getchar()) != '\n')
	{
		if (c != ' ')
		{
			temp[i] = c;
			i++;
		}
		else
		{
			a = atoi(temp);
			init(temp, 4);
			i = 0;
		}
	}

	b = atoi(temp);

	d = a;

	while (a < b)
	{
		d = d - 1 + a;
		count++;
	}

	printf("%d", count);

	return 0;
}