

from __future__ import annotations





def 			_lowercase    (      __UpperCamelCase     :		list[int] ):
      snake_case__					=   [0] * len(__UpperCamelCase )
      for i in range(1   ,       len(__UpperCamelCase ) ):
            snake_case__					=   duration_times[i - 1] + waiting_times[i - 1]
      return waiting_times





def 			_lowercase    (      __UpperCamelCase     :		list[int]   ,       __UpperCamelCase     :		list[int] ):
      return [
          duration_time + waiting_times[i]
          for i, duration_time in enumerate(__UpperCamelCase )
      ]





def 			_lowercase    (      __UpperCamelCase     :		list[int] ):
      return sum(__UpperCamelCase ) / len(__UpperCamelCase )





def 			_lowercase    (      __UpperCamelCase     :		list[int] ):
      return sum(__UpperCamelCase ) / len(__UpperCamelCase )


if __name__ == "__main__":
       # process id's
       lowerCAmelCase						:   Optional[Any]										=    [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						:   int										=    [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						:   List[str]										=    calculate_waiting_times(duration_times)
       lowerCAmelCase						:   int										=    calculate_turnaround_times(duration_times, waiting_times)

       # get the average times
       lowerCAmelCase						:   Optional[int]										=    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}""")









import sys





def 			_lowercase    (      __UpperCamelCase     :		int   ,       __UpperCamelCase     :		list[int] ):
      if not numbers:
            return 0
      if target == 0 and target in numbers:
            return 0
      if not isinstance(__UpperCamelCase   ,       (list, tuple) ) or not all(
          isinstance(__UpperCamelCase   ,       __UpperCamelCase ) for number in numbers ):
            raise ValueError("""numbers must be an iterable of integers""" )

      snake_case__					=   snake_case__					=   snake_case__					=   0
      snake_case__					=   sys.maxsize

      while right < len(__UpperCamelCase ):
            curr_sum += numbers[right]
            while curr_sum >= target and left <= right:
                  snake_case__					=   min(__UpperCamelCase   ,       right - left + 1 )
                  curr_sum -= numbers[left]
                  left += 1
            right += 1

      return 0 if min_len == sys.maxsize else min_len






