




'''simple docstring'''


from __future__ import annotations




def lowercase_	(   _lowercase			,       _lowercase			,       _lowercase			,       _lowercase				)     ->							None:
					'''simple docstring'''

					if (direction == 1 and array[indexa] > array[indexa]) or (
					    direction == 0 and array[indexa] < array[indexa]
					):
										lowerCamelCase_					:      str     =		array[indexa], array[indexa]




def lowercase_	(   _lowercase			,       _lowercase			,       _lowercase			,       _lowercase				)     ->							None:
					'''simple docstring'''

					if length > 1:
										lowerCamelCase_					:      int     =		int(length / 2				)
										for i in range(_lowercase			,       low + middle				):
															comp_and_swap(_lowercase			,       _lowercase			,       i + middle			,       _lowercase				)
										bitonic_merge(_lowercase			,       _lowercase			,       _lowercase			,       _lowercase				)
										bitonic_merge(_lowercase			,       low + middle			,       _lowercase			,       _lowercase				)




def lowercase_	(   _lowercase			,       _lowercase			,       _lowercase			,       _lowercase				)     ->							None:
					'''simple docstring'''

					if length > 1:
										lowerCamelCase_					:      Dict     =		int(length / 2				)
										bitonic_sort(_lowercase			,       _lowercase			,       _lowercase			,       1				)
										bitonic_sort(_lowercase			,       low + middle			,       _lowercase			,       0				)
										bitonic_merge(_lowercase			,       _lowercase			,       _lowercase			,       _lowercase				)


if __name__ == "__main__":
					__lowercase							:   Any					=     input('''Enter numbers separated by a comma:\n''').strip()
					__lowercase							:   Tuple					=     [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=''', ''')




'''simple docstring'''


import itertools
import math




def lowercase_	(   _lowercase				)     ->							bool:
					'''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(_lowercase				) + 1				)			,       6				):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True




def lowercase_	(   )     ->							Optional[int]:
					'''simple docstring'''

					lowerCamelCase_					:      Union[str, Any]     =		2
					while True:
										if is_prime(_lowercase				):
															yield num
										num += 1




def lowercase_	(   _lowercase = 10_001				)     ->							int:
					'''simple docstring'''

					return next(itertools.islice(prime_generator()			,       nth - 1			,       _lowercase				)				)


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


