
def       _lowercase					(      __SCREAMING_SNAKE_CASE )	->     list:
			UpperCamelCase__    :		Optional[int]     =				[True for i in range(n + 1 )]
			UpperCamelCase__    :		Optional[int]     =				[i - 1 for i in range(n + 1 )]
			UpperCamelCase__    :		Tuple     =				[]
			for i in range(2				,    n + 1 ):
						if is_prime[i]:
									primes.append(__SCREAMING_SNAKE_CASE )
						for j in range(0				,    len(__SCREAMING_SNAKE_CASE ) ):
									if i * primes[j] >= n:
												break
									UpperCamelCase__    :		Union[str, Any]     =				False

									if i % primes[j] == 0:
												UpperCamelCase__    :		str     =				totients[i] * primes[j]
												break

									UpperCamelCase__    :		Union[str, Any]     =				totients[i] * (primes[j] - 1)

			return totients


if __name__ == "__main__":
							import doctest

							doctest.testmod()





from __future__ import annotations

import re



def       _lowercase					(      __SCREAMING_SNAKE_CASE )	->     list[str]:

			def alphanum_key(__SCREAMING_SNAKE_CASE ):
						return [int(__SCREAMING_SNAKE_CASE ) if s.isdigit() else s.lower() for s in re.split('([0-9]+)'				,    __SCREAMING_SNAKE_CASE )]

			return sorted(__SCREAMING_SNAKE_CASE				,    key=__SCREAMING_SNAKE_CASE )


if __name__ == "__main__":
							import doctest

							doctest.testmod()



