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 (1.6) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var stdin = bufio.NewScanner(os.Stdin)

func main() {
	stdin.Split(bufio.ScanWords)
	A := nextInt()
	B := nextInt()
	if A >= B {
		fmt.Println(1)
	} else if B%(A-1) == 1 {
		fmt.Println(B / (A - 1))
	} else {
		fmt.Println(B/(A-1) + 1)
	}

}

func nextInt() int {
	stdin.Scan()
	i, err := strconv.Atoi(stdin.Text())
	if err != nil {
		panic(err)
	}
	return i
}