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: Accepted)

#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<stdlib.h>
int asc(const void* a, const void* b) { return *(int*)a - *(int*)b; }
int desc(const void* a, const void* b) { return *(int*)b - *(int*)a; }

//qsort(data,10,sizeof(int),compare_int);

int main(void)
{
	int a, b;
	int sum = 1;
	int i = 0;

	scanf("%d %d", &a, &b);
	while (sum < b) {
		i++;
		sum--;
		sum += a;
	}
	printf("%d\n", i);
	return 0;
}