
from __future__ import annotations




def 				a						(							snake_case__:					list[int]						,   snake_case__:					int						,   snake_case__:					int						,   snake_case__:					int					):


				'''simple docstring'''
				if (direction == 1 and array[indexa] > array[indexa]) or (
				    direction == 0 and array[indexa] < array[indexa]
				):
								lowercase_  ,	lowercase_       =					array[indexa], array[indexa]




def 				a						(							snake_case__:					list[int]						,   snake_case__:					int						,   snake_case__:					int						,   snake_case__:					int					):


				'''simple docstring'''
				if length > 1:
								lowercase_       =					int(length / 2					)
								for i in range(snake_case__						,   low + middle					):
												comp_and_swap(snake_case__						,   snake_case__						,   i + middle						,   snake_case__					)
								bitonic_merge(snake_case__						,   snake_case__						,   snake_case__						,   snake_case__					)
								bitonic_merge(snake_case__						,   low + middle						,   snake_case__						,   snake_case__					)




def 				a						(							snake_case__:					list[int]						,   snake_case__:					int						,   snake_case__:					int						,   snake_case__:					int					):


				'''simple docstring'''
				if length > 1:
								lowercase_       =					int(length / 2					)
								bitonic_sort(snake_case__						,   snake_case__						,   snake_case__						,   1					)
								bitonic_sort(snake_case__						,   low + middle						,   snake_case__						,   0					)
								bitonic_merge(snake_case__						,   snake_case__						,   snake_case__						,   snake_case__					)


if __name__ == "__main__":
						__a  			=					input('Enter numbers separated by a comma:\n').strip()
						__a  			=					[int(item.strip()) for item in user_input.split(',')]

						bitonic_sort(unsorted, 0, len(unsorted), 1)
						print('\nSorted array in ascending order is: ', end='')
						print(*unsorted, sep=', ')

						bitonic_merge(unsorted, 0, len(unsorted), 0)
						print('Sorted array in descending order is: ', end='')
						print(*unsorted, sep=', ')






import itertools
import math




def 				a						(							snake_case__:					int					):


				'''simple docstring'''

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

				# All primes number are in format of 6k +/- 1
				for i in range(5						,   int(math.sqrt(snake_case__					) + 1					)						,   6					):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True




def 				a						(							):


				'''simple docstring'''
				lowercase_       =					2
				while True:
								if is_prime(snake_case__					):
												yield num
								num += 1




def 				a						(							snake_case__:					int = 10_001					):


				'''simple docstring'''
				return next(itertools.islice(prime_generator()						,   nth - 1						,   snake_case__					)					)


if __name__ == "__main__":
						print(f"{solution() = }")




