
'''simple docstring'''


from __future__ import annotations
def 					__magic_name__(       UpperCAmelCase__ :       list[int]	):
						UpperCamelCase_     :	Any					     =     [0] * len(lowerCAmelCase__	)
						for i in range(1							,				len(lowerCAmelCase__	)	):
												UpperCamelCase_     :	str					     =     duration_times[i - 1] + waiting_times[i - 1]
						return waiting_times
def 					__magic_name__(       UpperCAmelCase__ :       list[int]							,				UpperCAmelCase__ :       list[int]	):
						return [
						    duration_time + waiting_times[i]
						    for i, duration_time in enumerate(lowerCAmelCase__	)
						]
def 					__magic_name__(       UpperCAmelCase__ :       list[int]	):
						return sum(lowerCAmelCase__	) / len(lowerCAmelCase__	)
def 					__magic_name__(       UpperCAmelCase__ :       list[int]	):
						return sum(lowerCAmelCase__	) / len(lowerCAmelCase__	)


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

	# get the average times
	__SCREAMING_SNAKE_CASE						=      calculate_average_waiting_time(waiting_times)
	__SCREAMING_SNAKE_CASE						=      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'''






import os






def 						_A					() ->	int:




     '''simple docstring'''



     _a         =				os.path.dirname(os.path.realpath(lowerCAmelCase__		)		)
     _a         =				os.path.join(lowerCAmelCase__					,    'triangle.txt'		)

     with open(lowerCAmelCase__		) as in_file:
          _a         =				[[int(lowerCAmelCase__		) for i in line.split()] for line in in_file]

     while len(lowerCAmelCase__		) != 1:
          _a         =				triangle.pop()
          _a         =				triangle[-1]
          for j in range(len(lowerCAmelCase__		) - 1		):
               curr_row[j] += max(last_row[j]					,    last_row[j + 1]		)
     return triangle[0][0]


if __name__ == "__main__":
 print(solution())

