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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.*;
import java.util.*;

import static java.lang.Math.*;

public class Main {


    public static void main(String[] args) {
        try (CustomReader in = new CustomReader()) {
            new Main().execute(in);
        } catch (IOException e) {
            e.printStackTrace();
        }
    }


    public void execute(CustomReader in) throws IOException {
        int[] nk = in.readLineAsIntArray();
        final int N = nk[0];
        final int K = nk[1];
        int[] A = in.readLineAsIntArray();

        int left = 0;
        int right = 0;
        int i = 0;
        while (i < N && A[i] != 1) {
            left++;
            i++;
        }
        right = N - left - 1;

        int ans = 0;
        ans += left / (K - 1);
        ans += right / (K - 1);
        ans += (left % (K - 1) + right % (K - 1)) % (K - 1) == 0 ? 1 : 2;
        System.out.println(ans);
    }


    static class CustomReader extends BufferedReader {
        public CustomReader() throws IOException {
            super(new InputStreamReader(System.in));
        }

        public int readLineAsInt() throws IOException {
            return Integer.parseInt(readLine());
        }

        public int[] readLineAsIntArray() throws IOException {
            String[] strArray = this.readLine().split(" ");
            int[] intArray = new int[strArray.length];
            for (int i = 0, n = strArray.length; i < n; i++) {
                intArray[i] = Integer.parseInt(strArray[i]);
            }
            return intArray;
        }

        public int[][] readAsIntMatrix(int rows, int columns) throws IOException {
            int[][] matrix = new int[rows][columns];
            for (int i = 0; i < rows; i++) {
                String[] r = this.readLine().split(" ");
                for (int j = 0; j < columns; j++) {
                    matrix[i][j] = Integer.parseInt(r[j]);
                }
            }
            return matrix;
        }

        public char[][] readAsCharMatrix(int rows) throws IOException {
            char[][] matrix = new char[rows][];
            for (int i = 0; i < rows; i++) {
                matrix[i] = this.readLine().toCharArray();
            }
            return matrix;
        }

    }

}