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 Go (1.14.1) (judge verdict: Accepted)

package main

import "fmt"

func main() {
	var a, b int

	fmt.Scan(&a)
	fmt.Scan(&b)

	fmt.Println(solve(a, b))
}

func solve(a, b int) int {
	if (b-1)%(a-1) == 0 {
		return (b - 1) / (a - 1)
	} else {
		return (b-1)/(a-1) + 1
	}
}