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: Runtime Error)

#include <stdio.h>
#include <stdlib.h>

int main(int argc, char **argv){
  int num, req, mul;
  int i;
  if(argc < 2)
    fprintf(stderr, "invalid inputs");
  
  num = atoi(argv[0]);
  req = atoi(argv[1]);
  
  if(num < 2)
    fprintf(stderr, "error");
  
  for(i = 1;;i++){
    if(i == 1)
      mul = num * i;
    else
      mul = num * i - 1;
    
    if(mul > req){
      printf("%d\n", i);
      return 0;
    }else{
      continue;
    }
  }
}