

from decimal import Decimal, getcontext
from math import ceil, factorial





def a(lowercase__						):





	'''simple docstring'''

	if not isinstance(lowercase__      ,			lowercase__						):
		raise TypeError('Undefined for non-integers'						)
	elif precision < 1:
		raise ValueError('Undefined for non-natural numbers'						)

	snake_case_   		=			precision
	snake_case_   		=			ceil(precision / 14						)
	snake_case_   		=			426880 * Decimal(10005						).sqrt()
	snake_case_   		=			1
	snake_case_   		=			13591409
	snake_case_   		=			Decimal(lowercase__						)
	for k in range(1      ,			lowercase__						):
		snake_case_   		=			factorial(6 * k						) // (factorial(3 * k						) * factorial(lowercase__						) ** 3)
		linear_term += 545140134
		exponential_term *= -262537412640768000
		partial_sum += Decimal(multinomial_term * linear_term						) / exponential_term
	return str(constant_term / partial_sum						)[:-1]


if __name__ == "__main__":
		A									=  50
		print(f"""The first {n} digits of pi is: {pi(n)}""")



from __future__ import annotations





def a(lowercase__      ,			lowercase__      ,			lowercase__      ,			lowercase__						):





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





def a(lowercase__      ,			lowercase__      ,			lowercase__      ,			lowercase__						):





	'''simple docstring'''
	if length > 1:
		snake_case_   		=			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 a(lowercase__      ,			lowercase__      ,			lowercase__      ,			lowercase__						):





	'''simple docstring'''
	if length > 1:
		snake_case_   		=			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__":
		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=', ')
