
from collections import deque





class 							UpperCAmelCase				:




	'''simple docstring'''





	def __init__(	self :			Optional[int]							,A :			str							,A :			int							,A :			int			):
					__A             =			process_name  # process name
					__A             =			arrival_time  # arrival time of the process
					# completion time of finished process or last interrupted time
					__A             =			arrival_time
					__A             =			burst_time  # remaining burst time
					__A             =			0  # total time of the process wait in ready queue
					__A             =			0  # time from arrival time to completion time





class 							UpperCAmelCase				:




	'''simple docstring'''





	def __init__(	self :			Optional[int]							,A :			int							,A :			list[int]							,A :			deque[Process]							,A :			int							,):
					# total number of mlfq's queues
					__A             =			number_of_queues
					# time slice of queues that round robin algorithm applied
					__A             =			time_slices
					# unfinished process is in this ready_queue
					__A             =			queue
					# current time
					__A             =			current_time
					# finished process is in this sequence queue
					__A             =			deque()






	def     UpperCamelCase_  (	self :			str			):
					__A             =			[]
					for i in range(len(self.finish_queue			)			):
									sequence.append(self.finish_queue[i].process_name			)
					return sequence






	def     UpperCamelCase_  (	self :			Dict							,A :			list[Process]			):
					__A             =			[]
					for i in range(len(A			)			):
									waiting_times.append(queue[i].waiting_time			)
					return waiting_times






	def     UpperCamelCase_  (	self :			Dict							,A :			list[Process]			):
					__A             =			[]
					for i in range(len(A			)			):
									turnaround_times.append(queue[i].turnaround_time			)
					return turnaround_times






	def     UpperCamelCase_  (	self :			Optional[int]							,A :			list[Process]			):
					__A             =			[]
					for i in range(len(A			)			):
									completion_times.append(queue[i].stop_time			)
					return completion_times






	def     UpperCamelCase_  (	self :			List[Any]							,A :			deque[Process]			):
					return [q.burst_time for q in queue]






	def     UpperCamelCase_  (	self :			Dict							,A :			Process			):
					process.waiting_time += self.current_time - process.stop_time
					return process.waiting_time






	def     UpperCamelCase_  (	self :			Tuple							,A :			deque[Process]			):
					__A             =			deque()  # sequence deque of finished process
					while len(A			) != 0:
									__A             =			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
									__A             =			0
									# set the process's turnaround time because it is finished
									__A             =			self.current_time - cp.arrival_time
									# set the completion time
									__A             =			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     UpperCamelCase_  (	self :			Any							,A :			deque[Process]							,A :			int			):
					__A             =			deque()  # sequence deque of terminated process
					# just for 1 cycle and unfinished processes will go back to queue
					for _ in range(len(A			)			):
									__A             =			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
													__A             =			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
													__A             =			0
													# set the finish time
													__A             =			self.current_time
													# update the process' turnaround time because it is finished
													__A             =			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     UpperCamelCase_  (	self :			Tuple			):

					#  all queues except last one have round_robin algorithm
					for i in range(self.number_of_queues - 1			):
									__A      ,							__A             =			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							:List[str]										=    Process('P1', 0, 53)
					SCREAMING_SNAKE_CASE							:List[Any]										=    Process('P2', 0, 17)
					SCREAMING_SNAKE_CASE							:Any										=    Process('P3', 0, 68)
					SCREAMING_SNAKE_CASE							:Any										=    Process('P4', 0, 24)
					SCREAMING_SNAKE_CASE							:Tuple										=    3
					SCREAMING_SNAKE_CASE							:Dict										=    [17, 25]
					SCREAMING_SNAKE_CASE							:Union[str, Any]										=    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							:Optional[int]										=    Process('P1', 0, 53)
					SCREAMING_SNAKE_CASE							:Optional[Any]										=    Process('P2', 0, 17)
					SCREAMING_SNAKE_CASE							:List[Any]										=    Process('P3', 0, 68)
					SCREAMING_SNAKE_CASE							:int										=    Process('P4', 0, 24)
					SCREAMING_SNAKE_CASE							:str										=    3
					SCREAMING_SNAKE_CASE							:List[str]										=    [17, 25]
					SCREAMING_SNAKE_CASE							:Tuple										=    deque([Pa, Pa, Pa, Pa])
					SCREAMING_SNAKE_CASE							:List[Any]										=    MLFQ(number_of_queues, time_slices, queue, 0)
					SCREAMING_SNAKE_CASE							:List[str]										=    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      (     )		->     list[list[int]]:







				"""simple docstring"""



				return [list(range(1_0_0_0 - i		,       -1_0_0_0 - i		,       -1						)						) for i in range(1_0_0_0						)]


SCREAMING_SNAKE_CASE							:List[str]										=    generate_large_matrix()
SCREAMING_SNAKE_CASE							:str										=    (
    [[4, 3, 2, -1], [3, 2, 1, -1], [1, 1, -1, -2], [-1, -1, -2, -3]],
    [[3, 2], [1, 0]],
    [[7, 7, 6]],
    [[7, 7, 6], [-1, -2, -3]],
    grid,
)


def 						UpperCAmelCase      (     a_						)		->     None:







				"""simple docstring"""



				assert all(row == sorted(a_		,       reverse=a_						) for row in grid						)
				assert all(list(a_						) == sorted(a_		,       reverse=a_						) for col in zip(*a_						)						)


def 						UpperCAmelCase      (     a_						)		->     int:







				"""simple docstring"""



				__A             =			0
				__A             =			len(a_						) - 1

				# Edge cases such as no values or all numbers are negative.
				if not array or array[0] < 0:
								return 0

				while right + 1 > left:
								__A             =			(left + right) // 2
								__A             =			array[mid]

								# Num must be negative and the index must be greater than or equal to 0.
								if num < 0 and array[mid - 1] >= 0:
												return mid

								if num >= 0:
												__A             =			mid + 1
								else:
												__A             =			mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
				return len(a_						)


def 						UpperCAmelCase      (     a_						)		->     int:







				"""simple docstring"""



				__A             =			0
				__A             =			len(grid[0]						)

				for i in range(len(a_						)						):
								__A             =			find_negative_index(grid[i][:bound]						)
								total += bound
				return (len(a_						) * len(grid[0]						)) - total


def 						UpperCAmelCase      (     a_						)		->     int:







				"""simple docstring"""



				return len([number for row in grid for number in row if number < 0]						)


def 						UpperCAmelCase      (     a_						)		->     int:







				"""simple docstring"""



				__A             =			0
				for row in grid:
								for i, number in enumerate(a_						):
												if number < 0:
																total += len(a_						) - i
																break
				return total


def 						UpperCAmelCase      (     )		->     None:







				"""simple docstring"""



				from timeit import timeit

				print("Running benchmarks"						)
				__A             =			(
				    "from __main__ import count_negatives_binary_search, "
				    "count_negatives_brute_force, count_negatives_brute_force_with_break, grid"
				)
				for func in (
				    "count_negatives_binary_search",  # took 0.7727 seconds
				    "count_negatives_brute_force_with_break",  # took 4.6505 seconds
				    "count_negatives_brute_force",  # took 12.8160 seconds
				):
								__A             =			timeit(F'''{func}(grid=grid)'''		,       setup=a_		,       number=5_0_0						)
								print(F'''{func}() took {time:0.4f} seconds'''						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					benchmark()
