



from __future__ import annotations







def       lowerCamelCase_  (    _a       :						list[int]    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Dict  		=					[0] * len(_a    )
    for i in range(1   ,		len(_a    )    ):
        UpperCAmelCase_     :       Any  		=					duration_times[i - 1] + waiting_times[i - 1]
    return waiting_times







def       lowerCamelCase_  (    _a       :						list[int]   ,		_a       :						list[int]    ):



    '''simple docstring'''




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







def       lowerCamelCase_  (    _a       :						list[int]    ):



    '''simple docstring'''




    return sum(_a    ) / len(_a    )







def       lowerCamelCase_  (    _a       :						list[int]    ):



    '''simple docstring'''




    return sum(_a    ) / len(_a    )


if __name__ == "__main__":
      # process id's
      UpperCamelCase_									=   [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
      UpperCamelCase_									=   [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
      UpperCamelCase_									=   calculate_waiting_times(duration_times)
      UpperCamelCase_									=   calculate_turnaround_times(duration_times, waiting_times)

      # get the average times
      UpperCamelCase_									=   calculate_average_waiting_time(waiting_times)
      UpperCamelCase_									=   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}")





from __future__ import annotations
def 						snake_case__							(       __lowercase				,  __lowercase				,  __lowercase				,  )		->		list[float | int]:







						"""simple docstring"""

						if not all((nth_term, start_term_a, common_ratio_r)							):
												return []
						A__						:				list[float | int]         =			[]
						A__						:				Optional[Any]         =			1
						A__						:				List[Any]         =			common_ratio_r
						for _ in range(int(__lowercase							)							):
												if not series:
																		series.append(__lowercase							)
												else:
																		power += 1
																		series.append(float(start_term_a * multiple							)							)
																		A__						:				Optional[Any]         =			pow(float(__lowercase							)				,  __lowercase							)
						return series


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		snake_case     :    Optional[int]						=    float(input('Enter the last number (n term) of the Geometric Series'))
		snake_case     :    str						=    float(input('Enter the starting term (a) of the Geometric Series'))
		snake_case     :    int						=    float(
		    input('Enter the common ratio between two terms (r) of the Geometric Series')
		)
		print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
		print(geometric_series(nth_term, start_term_a, common_ratio_r))