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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

def main():
  n,k = input_list()
  a = input_list()
  if n <= k:
    print(1)
    exit(0)
  amari = n%k
  if amari > 1:
    print((n//k)+amari)
  else:
    print((n//k)+1)
  
def input_list():
  return list(map(int, input().split()))

def input_list_str():
  return map(str, input().split())

def lcm_base(x, y):
    return (x * y) // fractions.gcd(x, y)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

def gcd(*numbers):
    return reduce(fractions.gcd, numbers)

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

# 2で割り切れる回数
def divide_two(arg):
  c = 0
  while True:
    if c >= 2:
      break
    if arg % 2 != 0:
      break
    arg //= 2
    c += 1
  return c 

import math
import fractions
import collections
from functools import reduce
main()