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,ans;
	scanf("%d%d",&a,&b);

	if(b%a!=0)ans=b/a+1;
	else ans=b/a;
	if(ans*a-(ans-1)>=b){
		printf("%d\n",ans);
		return 0;
	}
	for(int i=ans+1;i<100;i++){
		if(i*a-(i-1)>=b){
			printf("%d\n",i);
			return 0;
		}
	}
	
	return 0;
}