



'''simple docstring'''




from collections import deque

class     UpperCamelCase_				:





	def __init__(						self	,	A	,	A	,	A					)    ->    None:
								UpperCAmelCase  :	str							  =	process_name  # process name
								UpperCAmelCase  :	List[Any]							  =	arrival_time  # arrival time of the process
								# completion time of finished process or last interrupted time
								UpperCAmelCase  :	Optional[int]							  =	arrival_time
								UpperCAmelCase  :	Optional[int]							  =	burst_time  # remaining burst time
								UpperCAmelCase  :	List[Any]							  =	0  # total time of the process wait in ready queue
								UpperCAmelCase  :	List[str]							  =	0  # time from arrival time to completion time




class     UpperCamelCase_				:





	def __init__(						self	,	A	,	A	,	A	,	A	,	)    ->    None:
								# total number of mlfq's queues
								UpperCAmelCase  :	Optional[Any]							  =	number_of_queues
								# time slice of queues that round robin algorithm applied
								UpperCAmelCase  :	Tuple							  =	time_slices
								# unfinished process is in this ready_queue
								UpperCAmelCase  :	Optional[Any]							  =	queue
								# current time
								UpperCAmelCase  :	Optional[Any]							  =	current_time
								# finished process is in this sequence queue
								UpperCAmelCase  :	deque[Process]							  =	deque()





	def 				_lowercase(						self					)    ->    list[str]:
								UpperCAmelCase  :	str							  =	[]
								for i in range(len(self.finish_queue					)					):
															sequence.append(self.finish_queue[i].process_name					)
								return sequence





	def 				_lowercase(						self	,	A					)    ->    list[int]:
								UpperCAmelCase  :	Any							  =	[]
								for i in range(len(A					)					):
															waiting_times.append(queue[i].waiting_time					)
								return waiting_times





	def 				_lowercase(						self	,	A					)    ->    list[int]:
								UpperCAmelCase  :	str							  =	[]
								for i in range(len(A					)					):
															turnaround_times.append(queue[i].turnaround_time					)
								return turnaround_times





	def 				_lowercase(						self	,	A					)    ->    list[int]:
								UpperCAmelCase  :	Optional[Any]							  =	[]
								for i in range(len(A					)					):
															completion_times.append(queue[i].stop_time					)
								return completion_times





	def 				_lowercase(						self	,	A					)    ->    list[int]:
								return [q.burst_time for q in queue]





	def 				_lowercase(						self	,	A					)    ->    int:
								process.waiting_time += self.current_time - process.stop_time
								return process.waiting_time





	def 				_lowercase(						self	,	A					)    ->    deque[Process]:
								UpperCAmelCase  :	deque[Process]							  =	deque()  # sequence deque of finished process
								while len(A					) != 0:
															UpperCAmelCase  :	Tuple							  =	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(A					)
															# update current time
															self.current_time += cp.burst_time
															# finish the process and set the process's burst-time 0
															UpperCAmelCase  :	Optional[int]							  =	0
															# set the process's turnaround time because it is finished
															UpperCAmelCase  :	Dict							  =	self.current_time - cp.arrival_time
															# set the completion time
															UpperCAmelCase  :	int							  =	self.current_time
															# add the process to queue that has finished queue
															finished.append(A					)

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





	def 				_lowercase(						self	,	A	,	A					)    ->    tuple[deque[Process], deque[Process]]:
								UpperCAmelCase  :	deque[Process]							  =	deque()  # sequence deque of terminated process
								# just for 1 cycle and unfinished processes will go back to queue
								for _ in range(len(A					)					):
															UpperCAmelCase  :	List[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 unfinished processes
															self.update_waiting_time(A					)
															# 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
																						UpperCAmelCase  :	List[str]							  =	self.current_time
																						# locate the process behind the queue because it is not finished
																						ready_queue.append(A					)
															else:
																						# use CPU for remaining burst time
																						self.current_time += cp.burst_time
																						# set burst time 0 because the process is finished
																						UpperCAmelCase  :	Any							  =	0
																						# set the finish time
																						UpperCAmelCase  :	Dict							  =	self.current_time
																						# update the process' turnaround time because it is finished
																						UpperCAmelCase  :	Optional[int]							  =	self.current_time - cp.arrival_time
																						# add the process to queue that has finished queue
																						finished.append(A					)

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






	def 				_lowercase(						self					)    ->    deque[Process]:

								#  all queues except last one have round_robin algorithm
								for i in range(self.number_of_queues - 1					):
															UpperCAmelCase  ,  UpperCAmelCase  :	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

							a     :    Optional[int]      						=					Process("""P1""", 0, 5_3)
							a     :    Optional[Any]      						=					Process("""P2""", 0, 1_7)
							a     :    Union[str, Any]      						=					Process("""P3""", 0, 6_8)
							a     :    Optional[int]      						=					Process("""P4""", 0, 2_4)
							a     :    List[str]      						=					3
							a     :    Union[str, Any]      						=					[1_7, 2_5]
							a     :    Tuple      						=					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])})

							a     :    int      						=					Process("""P1""", 0, 5_3)
							a     :    str      						=					Process("""P2""", 0, 1_7)
							a     :    Optional[int]      						=					Process("""P3""", 0, 6_8)
							a     :    Union[str, Any]      						=					Process("""P4""", 0, 2_4)
							a     :    Union[str, Any]      						=					3
							a     :    Dict      						=					[1_7, 2_5]
							a     :    Union[str, Any]      						=					deque([Pa, Pa, Pa, Pa])
							a     :    Optional[int]      						=					MLFQ(number_of_queues, time_slices, queue, 0)
							a     :    List[Any]      						=					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()}'''
							)






'''simple docstring'''




import math



def    __lowerCamelCase						(      _lowercase	)   ->    bool:
							assert isinstance(_lowercase			,       _lowercase	) and (
							    number >= 0
							), "'number' must been an int and positive"

							if 1 < number < 4:
														# 2 and 3 are primes
														return True
							elif number < 2 or not number % 2:
														# Negatives, 0, 1 and all even numbers are not primes
														return False

							UpperCAmelCase  :	str							  =	range(3			,       int(math.sqrt(_lowercase	) + 1	)			,       2	)
							return not any(not number % i for i in odd_numbers	)



def    __lowerCamelCase						(      _lowercase			,       _lowercase=1			,       **_lowercase	)   ->    Union[str, Any]:
							UpperCAmelCase  :	Optional[int]							  =	factor * value
							UpperCAmelCase  :	List[Any]							  =	value

							while not is_prime(_lowercase	):
														value += 1 if not ("desc" in kwargs and kwargs["desc"] is True) else -1

							if value == first_value_val:
														return next_prime(value + 1			,       **_lowercase	)
							return value

