




"""simple docstring"""

import math




def    snake_case__						(							lowerCAmelCase :		Optional[int]		):
					__snake_case        =						0
					if n % 2 == 0:
										count += 1
										while n % 2 == 0:
															__snake_case        =						int(n / 2		)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

					__snake_case        =						3

					while i <= int(math.sqrt(lowerCAmelCase		)		):
										if n % i == 0:
															count += 1
															while n % i == 0:
																				__snake_case        =						int(n / i		)
										__snake_case        =						i + 2

					# this condition checks the prime
					# number n is greater than 2

					if n > 2:
										count += 1
					return count


if __name__ == "__main__":
		UpperCamelCase__			:     str			       =				51_24_21_83
		print(f'The number of distinct prime factors is/are {exact_prime_factor_count(n)}')
		print(f'The value of log(log(n)) is {math.log(math.log(n)):.4f}')








"""simple docstring"""

from __future__ import annotations




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					__snake_case        =						[0] * len(lowerCAmelCase		)
					for i in range(1					,       len(lowerCAmelCase		)		):
										__snake_case        =						duration_times[i - 1] + waiting_times[i - 1]
					return waiting_times




def    snake_case__						(							lowerCAmelCase :		list[int]					,       lowerCAmelCase :		list[int]		):
					return [
					    duration_time + waiting_times[i]
					    for i, duration_time in enumerate(lowerCAmelCase		)
					]




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					return sum(lowerCAmelCase		) / len(lowerCAmelCase		)




def    snake_case__						(							lowerCAmelCase :		list[int]		):
					return sum(lowerCAmelCase		) / len(lowerCAmelCase		)


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

		# get the average times
		UpperCamelCase__			:     Optional[Any]			       =				calculate_average_waiting_time(waiting_times)
		UpperCamelCase__			:     Dict			       =				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}')


