"""simple docstring"""







from __future__ import annotations




def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     list[int]:







     '''simple docstring'''


     __A					:					int								=		[0] * len(_SCREAMING_SNAKE_CASE						)
     for i in range(1  ,       len(_SCREAMING_SNAKE_CASE						)						):
          __A					:					List[str]								=		duration_times[i - 1] + waiting_times[i - 1]
     return waiting_times




def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]  ,       _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     list[int]:







     '''simple docstring'''


     return [
         duration_time + waiting_times[i]
         for i, duration_time in enumerate(_SCREAMING_SNAKE_CASE						)
     ]




def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     float:







     '''simple docstring'''


     return sum(_SCREAMING_SNAKE_CASE						) / len(_SCREAMING_SNAKE_CASE						)




def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     float:







     '''simple docstring'''


     return sum(_SCREAMING_SNAKE_CASE						) / len(_SCREAMING_SNAKE_CASE						)


if __name__ == "__main__":
       # process id's
       lowerCamelCase      : Tuple       =[1, 2, 3]

       # ensure that we actually have processes
       if len(processes) == 0:
              print('''Zero amount of processes''')
              raise SystemExit(0)

       # duration time of all processes
       lowerCamelCase      : Optional[Any]       =[19, 8, 9]

       # ensure we can match each id to a duration time
       if len(duration_times) != len(processes):
              print('''Unable to match all id\'s with their duration time''')
              raise SystemExit(0)

       # get the waiting times and the turnaround times
       lowerCamelCase      : str       =calculate_waiting_times(duration_times)
       lowerCamelCase      : Tuple       =calculate_turnaround_times(duration_times, waiting_times)

       # get the average times
       lowerCamelCase      : Optional[Any]       =calculate_average_waiting_time(waiting_times)
       lowerCamelCase      : int       =calculate_average_turnaround_time(turnaround_times)

       # print all the results
       print('''Process ID\tDuration Time\tWaiting Time\tTurnaround Time''')
       for i, process in enumerate(processes):
              print(
                  F'{process}\t\t{duration_times[i]}\t\t{waiting_times[i]}\t\t'
                  F'{turnaround_times[i]}'
              )
       print(F'Average waiting time = {average_waiting_time}')
       print(F'Average turn around time = {average_turnaround_time}')




"""simple docstring"""







def 						_lowercase				(  _SCREAMING_SNAKE_CASE				:				list[int]						)    ->     int:







     '''simple docstring'''


     if not isinstance(_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE						) or not all(
         isinstance(_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE						) and item >= 0 for item in citations						):
          raise ValueError('The citations should be a list of non negative integers.'						)

     citations.sort()
     __A					:					Any								=		len(_SCREAMING_SNAKE_CASE						)

     for i in range(_SCREAMING_SNAKE_CASE						):
          if citations[len_citations - 1 - i] <= i:
               return i

     return len_citations


if __name__ == "__main__":
       import doctest

       doctest.testmod()



