






'''simple docstring'''







from __future__ import annotations


def     _UpperCamelCase				(  snake_case__				,      snake_case__				):
      __A		 =   0
      __A		 =   len(snake_case__				) - 1
      while left <= right:
            __A		 =   (left + right) // 2
            if left == right:
                  if sorted_list[middle] < item:
                        __A		 =   middle + 1
                  break
            elif sorted_list[middle] < item:
                  __A		 =   middle + 1
            else:
                  __A		 =   middle - 1
      sorted_list.insert(snake_case__				,      snake_case__				)
      return sorted_list


def     _UpperCamelCase				(  snake_case__				,      snake_case__				):
      __A		 =   []
      while left and right:
            if left[0][0] < right[0][0]:
                  result.append(left.pop(0				)				)
            else:
                  result.append(right.pop(0				)				)
      return result + left + right


def     _UpperCamelCase				(  snake_case__				):
      __A		 =   len(snake_case__				)
      if length <= 1:
            return list_ad
      __A		 =   length // 2
      return merge(sortlist_ad(list_ad[:middle]				)				,      sortlist_ad(list_ad[middle:]				)				)


def     _UpperCamelCase				(  snake_case__				):

      if len(snake_case__				) <= 1:
            return collection
      __A		 =   []
      __A		 =   False
      for i in range(0				,      len(snake_case__				)				,      2				):
            if i == len(snake_case__				) - 1:
                  __A		 =   True
            else:
                  if collection[i] < collection[i + 1]:
                        two_paired_list.append([collection[i], collection[i + 1]]				)
                  else:
                        two_paired_list.append([collection[i + 1], collection[i]]				)
      __A		 =   sortlist_ad(snake_case__				)
      __A		 =   [i[0] for i in sorted_list_ad]
      result.append(sorted_list_ad[-1][1]				)
      if has_last_odd_item:
            __A		 =   collection[-1]
            __A		 =   binary_search_insertion(snake_case__				,      snake_case__				)
      __A		 =   False
      for i in range(len(snake_case__				) - 1				):
            if result[i] == collection[-1] and has_last_odd_item:
                  __A		 =   True
            __A		 =   sorted_list_ad[i][1]
            # If last_odd_item is inserted before the item's index,
            # you should forward index one more.
            if is_last_odd_item_inserted_before_this_index:
                  __A		 =   result[: i + 2] + binary_search_insertion(result[i + 2 :]				,      snake_case__				)
            else:
                  __A		 =   result[: i + 1] + binary_search_insertion(result[i + 1 :]				,      snake_case__				)

      return result


if __name__ == "__main__":
       __A   :							Dict     	=						input('Enter numbers separated by a comma:\n').strip()
       __A   :							Optional[Any]     	=						[int(item) for item in user_input.split(',')]
       print(merge_insertion_sort(unsorted))










'''simple docstring'''







from __future__ import annotations


def     _UpperCamelCase				(  snake_case__				):
      __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__				):
      return [
          duration_time + waiting_times[i]
          for i, duration_time in enumerate(snake_case__				)
      ]


def     _UpperCamelCase				(  snake_case__				):
      return sum(snake_case__				) / len(snake_case__				)


def     _UpperCamelCase				(  snake_case__				):
      return sum(snake_case__				) / len(snake_case__				)


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

       # get the average times
       __A   :							Dict     	=						calculate_average_waiting_time(waiting_times)
       __A   :							Tuple     	=						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}""")


