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 (Clang 3.8.0) (judge verdict: Accepted)


#include<stdio.h>
int main(void) {
	int a, b;
	scanf("%d %d", &a, &b);
	//n*a + 1 - n = b
	//n(a-1) = b-1
	int n = 0;
	n = (b - 1) / (a - 1);
	if ((b - 1) % (a - 1) != 0) {
		n++;
	}
	printf("%d", n);
	return 0;
}