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 (
    "fmt"
    "os"
    "bufio"
    "strconv"
    //"math"
)

func ScanSplitIntLine(size int) []int {
    scanner := bufio.NewScanner(os.Stdin)
    scanner.Split(bufio.ScanWords)
    line := make([]int, 0, size)
    for i := 0; i < size; i++ {
        scanner.Scan()
        stringInput := scanner.Text()
        intInput, err := strconv.Atoi(stringInput)
        if err != nil {
            fmt.Println(err)
        }
        line = append(line, intInput)
    }
    return line
}

func main() {
    AB := ScanSplitIntLine(2) 
    A := AB[0]
    B := AB[1]
    if A >= B {
        fmt.Println(1)
        os.Exit(0)
    }

    tup := B / (A-1)
    if B % (A-1) > 2 {
        tup += 1
    }
    fmt.Println(tup)
}