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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {
    val line = readLine()
    val nums = line!!.split(" ").map { it.toInt() }
    val ans = solve(nums)
    print(ans)
}

fun solve(nums: List<Int>): Int {
    val tapNum = nums[0]
    val needNum = nums[1]
    
    val integral = (needNum - 1) / (tapNum - 1)
    val remaining = (needNum - 1) % (tapNum - 1) == 0

    return if (remaining) {
        integral
    } else {
        integral + 1
    }
}