



from __future__ import annotations




def     UpperCAmelCase__ (							__snake_case							)   -> Optional[Any]:
  _A           =    [0] * len(__snake_case							)
  for i in range(1						,				len(__snake_case							)							):
    _A           =    duration_times[i - 1] + waiting_times[i - 1]
  return waiting_times




def     UpperCAmelCase__ (							__snake_case						,				__snake_case							)   -> str:
  return [
      duration_time + waiting_times[i]
      for i, duration_time in enumerate(__snake_case							)
  ]




def     UpperCAmelCase__ (							__snake_case							)   -> List[str]:
  return sum(__snake_case							) / len(__snake_case							)




def     UpperCAmelCase__ (							__snake_case							)   -> Dict:
  return sum(__snake_case							) / len(__snake_case							)


if __name__ == "__main__":
    # process id's
    __lowerCamelCase  				=					[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  				=					[1_9, 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  				=					calculate_waiting_times(duration_times)
    __lowerCamelCase  				=					calculate_turnaround_times(duration_times, waiting_times)

    # get the average times
    __lowerCamelCase  				=					calculate_average_waiting_time(waiting_times)
    __lowerCamelCase  				=					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}''')




def     UpperCAmelCase__ (							__snake_case						,				__snake_case						,				__snake_case						,				__snake_case						,				__snake_case							)   -> None:
  if target == 0:
    answer.append(path.copy()							)
  else:
    for index in range(__snake_case						,				len(__snake_case							)							):
      if target >= candidates[index]:
        path.append(candidates[index]							)
        backtrack(__snake_case						,				__snake_case						,				__snake_case						,				target - candidates[index]						,				__snake_case							)
        path.pop(len(__snake_case							) - 1							)




def     UpperCAmelCase__ (							__snake_case						,				__snake_case							)   -> list:
  _A           =    []  # type: list[int]
  _A           =    []  # type: list[int]
  backtrack(__snake_case						,				__snake_case						,				__snake_case						,				__snake_case						,				0							)
  return answer




def     UpperCAmelCase__ (							)   -> None:
  print(combination_sum([-8, 2.3, 0]						,				1							)							)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()