






from collections import deque






class 			_UpperCamelCase:

		def __init__(					self		:    Tuple    ,       SCREAMING_SNAKE_CASE__		:    str    ,       SCREAMING_SNAKE_CASE__		:    int    ,       SCREAMING_SNAKE_CASE__		:    int    ):



					'''simple docstring'''



					__a						:  int									=     process_name  # process name
					__a						:  Dict									=     arrival_time  # arrival time of the process
					# completion time of finished process or last interrupted time
					__a						:  int									=     arrival_time
					__a						:  Any									=     burst_time  # remaining burst time
					__a						:  List[str]									=     0  # total time of the process wait in ready queue
					__a						:  Union[str, Any]									=     0  # time from arrival time to completion time






class 			_UpperCamelCase:

		def __init__(					self		:    Optional[int]    ,       SCREAMING_SNAKE_CASE__		:    int    ,       SCREAMING_SNAKE_CASE__		:    list[int]    ,       SCREAMING_SNAKE_CASE__		:    deque[Process]    ,       SCREAMING_SNAKE_CASE__		:    int    ,       ):



					'''simple docstring'''



					__a						:  Dict									=     number_of_queues
					# time slice of queues that round robin algorithm applied
					__a						:  int									=     time_slices
					# unfinished process is in this ready_queue
					__a						:  List[Any]									=     queue
					# current time
					__a						:  Dict									=     current_time
					# finished process is in this sequence queue
					__a						:  deque[Process]									=     deque()

		def    __lowerCAmelCase  (					self		:    List[str]    ):



					'''simple docstring'''



					__a						:  List[Any]									=     []
					for i in range(len(self.finish_queue    )    ):
								sequence.append(self.finish_queue[i].process_name    )
					return sequence

		def    __lowerCAmelCase  (					self		:    List[str]    ,       SCREAMING_SNAKE_CASE__		:    list[Process]    ):



					'''simple docstring'''



					__a						:  str									=     []
					for i in range(len(SCREAMING_SNAKE_CASE__    )    ):
								waiting_times.append(queue[i].waiting_time    )
					return waiting_times

		def    __lowerCAmelCase  (					self		:    Dict    ,       SCREAMING_SNAKE_CASE__		:    list[Process]    ):



					'''simple docstring'''



					__a						:  List[str]									=     []
					for i in range(len(SCREAMING_SNAKE_CASE__    )    ):
								turnaround_times.append(queue[i].turnaround_time    )
					return turnaround_times

		def    __lowerCAmelCase  (					self		:    Optional[int]    ,       SCREAMING_SNAKE_CASE__		:    list[Process]    ):



					'''simple docstring'''



					__a						:  Tuple									=     []
					for i in range(len(SCREAMING_SNAKE_CASE__    )    ):
								completion_times.append(queue[i].stop_time    )
					return completion_times

		def    __lowerCAmelCase  (					self		:    str    ,       SCREAMING_SNAKE_CASE__		:    deque[Process]    ):



					'''simple docstring'''



					return [q.burst_time for q in queue]

		def    __lowerCAmelCase  (					self		:    Union[str, Any]    ,       SCREAMING_SNAKE_CASE__		:    Process    ):



					'''simple docstring'''



					process.waiting_time += self.current_time - process.stop_time
					return process.waiting_time

		def    __lowerCAmelCase  (					self		:    Any    ,       SCREAMING_SNAKE_CASE__		:    deque[Process]    ):



					'''simple docstring'''



					__a						:  deque[Process]									=     deque()  # sequence deque of finished process
					while len(SCREAMING_SNAKE_CASE__    ) != 0:
								__a						:  Any									=     ready_queue.popleft()  # current process

								# if process's arrival time is later than current time, update current time
								if self.current_time < cp.arrival_time:
											self.current_time += cp.arrival_time

								# update waiting time of current process
								self.update_waiting_time(SCREAMING_SNAKE_CASE__    )
								# update current time
								self.current_time += cp.burst_time
								# finish the process and set the process's burst-time 0
								__a						:  str									=     0
								# set the process's turnaround time because it is finished
								__a						:  str									=     self.current_time - cp.arrival_time
								# set the completion time
								__a						:  Optional[Any]									=     self.current_time
								# add the process to queue that has finished queue
								finished.append(SCREAMING_SNAKE_CASE__    )

					self.finish_queue.extend(SCREAMING_SNAKE_CASE__    )  # add finished process to finish queue
					# FCFS will finish all remaining processes
					return finished

		def    __lowerCAmelCase  (					self		:    Optional[int]    ,       SCREAMING_SNAKE_CASE__		:    deque[Process]    ,       SCREAMING_SNAKE_CASE__		:    int    ):



					'''simple docstring'''



					__a						:  deque[Process]									=     deque()  # sequence deque of terminated process
					# just for 1 cycle and unfinished processes will go back to queue
					for _ in range(len(SCREAMING_SNAKE_CASE__    )    ):
								__a						:  str									=     ready_queue.popleft()  # current process

								# if process's arrival time is later than current time, update current time
								if self.current_time < cp.arrival_time:
											self.current_time += cp.arrival_time

								# update waiting time of unfinished processes
								self.update_waiting_time(SCREAMING_SNAKE_CASE__    )
								# if the burst time of process is bigger than time-slice
								if cp.burst_time > time_slice:
											# use CPU for only time-slice
											self.current_time += time_slice
											# update remaining burst time
											cp.burst_time -= time_slice
											# update end point time
											__a						:  Union[str, Any]									=     self.current_time
											# locate the process behind the queue because it is not finished
											ready_queue.append(SCREAMING_SNAKE_CASE__    )
								else:
											# use CPU for remaining burst time
											self.current_time += cp.burst_time
											# set burst time 0 because the process is finished
											__a						:  Optional[int]									=     0
											# set the finish time
											__a						:  Dict									=     self.current_time
											# update the process' turnaround time because it is finished
											__a						:  Tuple									=     self.current_time - cp.arrival_time
											# add the process to queue that has finished queue
											finished.append(SCREAMING_SNAKE_CASE__    )

					self.finish_queue.extend(SCREAMING_SNAKE_CASE__    )  # add finished process to finish queue
					# return finished processes queue and remaining processes queue
					return finished, ready_queue



		def    __lowerCAmelCase  (					self		:    Tuple    ):



					'''simple docstring'''



					for i in range(self.number_of_queues - 1    ):
								__a						,					__a						:  Union[str, Any]									=     self.round_robin(
								    self.ready_queue    ,       self.time_slices[i]    )
					#  the last queue has first_come_first_served algorithm
					self.first_come_first_served(self.ready_queue    )

					return self.finish_queue


if __name__ == "__main__":
							import doctest

							SCREAMING_SNAKE_CASE__				     =			Process('''P1''', 0, 53)
							SCREAMING_SNAKE_CASE__				     =			Process('''P2''', 0, 17)
							SCREAMING_SNAKE_CASE__				     =			Process('''P3''', 0, 68)
							SCREAMING_SNAKE_CASE__				     =			Process('''P4''', 0, 24)
							SCREAMING_SNAKE_CASE__				     =			3
							SCREAMING_SNAKE_CASE__				     =			[17, 25]
							SCREAMING_SNAKE_CASE__				     =			deque([Pa, Pa, Pa, Pa])

							if len(time_slices) != number_of_queues - 1:
														raise SystemExit(0)

							doctest.testmod(extraglobs={'''queue''': deque([Pa, Pa, Pa, Pa])})

							SCREAMING_SNAKE_CASE__				     =			Process('''P1''', 0, 53)
							SCREAMING_SNAKE_CASE__				     =			Process('''P2''', 0, 17)
							SCREAMING_SNAKE_CASE__				     =			Process('''P3''', 0, 68)
							SCREAMING_SNAKE_CASE__				     =			Process('''P4''', 0, 24)
							SCREAMING_SNAKE_CASE__				     =			3
							SCREAMING_SNAKE_CASE__				     =			[17, 25]
							SCREAMING_SNAKE_CASE__				     =			deque([Pa, Pa, Pa, Pa])
							SCREAMING_SNAKE_CASE__				     =			MLFQ(number_of_queues, time_slices, queue, 0)
							SCREAMING_SNAKE_CASE__				     =			mlfq.multi_level_feedback_queue()

							# print total waiting times of processes(P1, P2, P3, P4)
							print(
							    F"waiting time:\
        \t\t\t{MLFQ.calculate_waiting_time(mlfq, [Pa, Pa, Pa, Pa])}"
							)
							# print completion times of processes(P1, P2, P3, P4)
							print(
							    F"completion time:\
        \t\t{MLFQ.calculate_completion_time(mlfq, [Pa, Pa, Pa, Pa])}"
							)
							# print total turnaround times of processes(P1, P2, P3, P4)
							print(
							    F"turnaround time:\
        \t\t{MLFQ.calculate_turnaround_time(mlfq, [Pa, Pa, Pa, Pa])}"
							)
							# print sequence of finished processes
							print(
							    F"sequence of finished processes:\
        {mlfq.calculate_sequence_of_finish_queue()}"
							)








def 		UpperCamelCase   (lowercase_:					str   )	-> Optional[Any]:
	A__				:       Optional[int]	  =						[]
	A__				:       Optional[int]	  =						set({"""(""", """[""", """{"""}   )
	A__				:       str	  =						set({""")""", """]""", """}"""}   )
	A__				:       Optional[Any]	  =						{"""{""": """}""", """[""": """]""", """(""": """)"""}

	for i in range(len(lowercase_   )   ):
		if s[i] in open_brackets:
			stack.append(s[i]   )

		elif s[i] in closed_brackets and (
		    len(lowercase_   ) == 0 or (len(lowercase_   ) > 0 and open_to_closed[stack.pop()] != s[i])
		):
			return False

	return len(lowercase_   ) == 0

def 		UpperCamelCase   ()	-> List[str]:
	A__				:       Optional[Any]	  =						input("""Enter sequence of brackets: """   )
	if is_balanced(lowercase_   ):
		print(lowercase_       , """is balanced"""   )
	else:
		print(lowercase_       , """is not balanced"""   )


if __name__ == "__main__":
	main()



