

"""simple docstring"""




from __future__ import annotations
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					A     =   [0] * len(lowercase__ )
					for i in range(1     ,				len(lowercase__ ) ):
										A     =   duration_times[i - 1] + waiting_times[i - 1]
					return waiting_times
def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					return [
					    duration_time + waiting_times[i]
					    for i, duration_time in enumerate(lowercase__ )
					]
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					return sum(lowercase__ ) / len(lowercase__ )
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					return sum(lowercase__ ) / len(lowercase__ )


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

	# get the average times
	__A	:       str        =						calculate_average_waiting_time(waiting_times)
	__A	:       Any        =						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}""")











import math
from collections.abc import Generator







def 		lowercase__ (		__A:						int					):





					'''simple docstring'''






					__magic_name__				:						Generator     				=				(i for i in range(1				,(max_n + 1)					))
					for i in (n for n in numbers if n > 1):
										for j in range(2				,__A					):
															if (i % j) == 0:
																				break
										else:
															yield i







def 		lowercase__ (		__A:						int					):





					'''simple docstring'''






					__magic_name__				:						Generator     				=				(i for i in range(1				,(max_n + 1)					))
					for i in (n for n in numbers if n > 1):
										# only need to check for factors up to sqrt(i)
										__magic_name__				:						Tuple     				=				int(math.sqrt(__A					)					) + 1
										for j in range(2				,__A					):
															if (i % j) == 0:
																				break
										else:
															yield i







def 		lowercase__ (		__A:						int					):





					'''simple docstring'''






					__magic_name__				:						Generator     				=				(i for i in range(1				,(max_n + 1)				,2					))
					# It's useless to test even numbers as they will not be prime
					if max_n > 2:
										yield 2  # Because 2 will not be tested, it's necessary to yield it now
					for i in (n for n in numbers if n > 1):
										__magic_name__				:						str     				=				int(math.sqrt(__A					)					) + 1
										for j in range(3				,__A				,2					):
															# As we removed the even numbers, we don't need them now
															if (i % j) == 0:
																				break
										else:
															yield i







def 		lowercase__ (		):





					'''simple docstring'''






					from timeit import timeit

					__magic_name__				:						Dict     				=				'''from __main__ import slow_primes, primes, fast_primes'''
					print(timeit('''slow_primes(1_000_000_000_000)'''				,setup=__A				,number=1_0_0_0_0_0_0					)					)
					print(timeit('''primes(1_000_000_000_000)'''				,setup=__A				,number=1_0_0_0_0_0_0					)					)
					print(timeit('''fast_primes(1_000_000_000_000)'''				,setup=__A				,number=1_0_0_0_0_0_0					)					)


if __name__ == "__main__":
	__lowerCamelCase :    Union[str, Any]      						=      int(input('''Calculate primes up to:\n>> ''').strip())
	for ret in primes(number):
		print(ret)
	benchmark()



