Problem:
Score : 300 points

Problem Statement

There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.

On this sequence, Snuke can perform the following operation:

Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.

Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times.
Find the minimum number of operations required.
It can be proved that, Under the constraints of this problem, this objective is always achievable.

Constraints

2 \leq K \leq N \leq 100000

A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 ... A_N

Output

Print the minimum number of operations required.

Sample Input 1

4 3
2 3 1 4

Sample Output 1

2

One optimal strategy is as follows:

In the first operation, choose the first, second and third elements. The sequence A becomes 1, 1, 1, 4.

In the second operation, choose the second, third and fourth elements. The sequence A becomes 1, 1, 1, 1.

Sample Input 2

3 3
1 2 3

Sample Output 2

1

Sample Input 3

8 3
7 3 1 8 4 6 2 5

Sample Output 3

4

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;

class Program
{
    #region library
    static int n = 0;
    static int m = 0;
    static int r = 0;
    static int c = 0;
    static int x = 0;
    static int y = 0;
    static int[] arr;
    static string s = "";
    static string[] ss;
    static string alpha = "abcdefghijklmnopqrstuvwxyz";
    static long sum = 0;
    static long cnt = 0;
    static long max = -1;
    static long min = 2147483647;
    static bool flg = false;
    static bool flg2 = false;
    static char[,] map;
    static int[,] imap;
    static string rl()
    {
        return Console.ReadLine();
    }
    static string[] rls()
    {
        return Console.ReadLine().Split();
    }
    static void wl(object obj = null)
    {
        Console.WriteLine(obj);
    }
    static void w(object obj)
    {
        Console.Write(obj);
    }
    static int Int(string s)
    {
        return int.Parse(s);
    }
    static long Max(long a, long b)
    {
        return Math.Max(a, b);
    }
    static long Min(long a, long b)
    {
        return Math.Min(a, b);
    }
    static long Abs(long a)
    {
        return Math.Abs(a);
    }
    static void yes()
    {
        wl("YES");
    }
    static void no()
    {
        wl("NO");
    }
    static void Sum()
    {
        wl(sum);
    }
    static void Cnt()
    {
        wl(cnt);
    }
    static void setarray(int num = -1)
    {
        arr = new int[n];
        if(num == -1) ss = rls();
        for (int i = 0; i < n; i++)
        {
            if (num == -1)
                arr[i] = Int(ss[i]);
            else
                arr[i] = num;
        }
    }
    static void setmap(char def = '@')
    {
        if (r == 0 && c == 0)
        {
            ss = rls();
            r = Int(ss[0]);
            c = Int(ss[1]);
        }
        map = new char[r, c];
        for (int i = 0; i < r; i++)
        {
            if (def == '@') s = rl();
            for (int j = 0; j < c; j++)
            {
                map[i, j] = (def == '@') ? s[j] : def;
            }
        }
    }
    static void setimap(int def = -1)
    {
        if (r == 0 && c == 0)
        {
            ss = rls();
            r = Int(ss[0]);
            c = Int(ss[1]);
        }
        imap = new int[r, c];
        for (int i = 0; i < r; i++)
        {
            if (def == -1) s = rl();
            for (int j = 0; j < c; j++)
            {
                imap[i, j] = (def == -1) ? Int(s[j].ToString()) : def;
            }
        }
    }
    #endregion

    static void Main(string[] args)
    {
        ss = rls();
        n = Int(ss[0]);
        int k = Int(ss[1]);

        n--;
        k--;
        int ans = n / k;
        if (n % k > 0) ans++;
        wl(ans);
    }
}