





def lowerCAmelCase__(__snake_case							)       ->   list[int]:







	'''simple docstring'''







	if num <= 0:
		raise ValueError('''Input must be a positive integer'''							)

	lowerCamelCase__              =	[True] * (num + 1)

	lowerCamelCase__              =	2
	while p * p <= num:
		if primes[p]:
			for i in range(p * p ,num + 1 ,__snake_case							):
				lowerCamelCase__              =	False
		p += 1

	return [prime for prime in range(2 ,num + 1							) if primes[prime]]


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			_a						=   int(input("Enter a positive integer: ").strip())
			print(prime_sieve_eratosthenes(user_num))










import string
from math import logaa





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   int:







	'''simple docstring'''







	lowerCamelCase__              =	document.translate(
	    str.maketrans('''''' ,'''''' ,string.punctuation							)							).replace('''\n''' ,''''''							)
	lowerCamelCase__              =	document_without_punctuation.split(''' '''							)  # word tokenization
	return len([word for word in tokenize_document if word.lower() == term.lower()]							)





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   tuple[int, int]:







	'''simple docstring'''







	lowerCamelCase__              =	corpus.lower().translate(
	    str.maketrans('''''' ,'''''' ,string.punctuation							)							)  # strip all punctuation and replace it with ''
	lowerCamelCase__              =	corpus_without_punctuation.split('''\n'''							)
	lowerCamelCase__              =	term.lower()
	return (len([doc for doc in docs if term in doc]							), len(__snake_case							))





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case=False							)       ->   float:







	'''simple docstring'''







	if smoothing:
		if n == 0:
			raise ValueError('''log10(0) is undefined.'''							)
		return round(1 + logaa(n / (1 + df)							) ,3							)

	if df == 0:
		raise ZeroDivisionError('''df must be > 0'''							)
	elif n == 0:
		raise ValueError('''log10(0) is undefined.'''							)
	return round(logaa(n / df							) ,3							)





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   float:







	'''simple docstring'''







	return round(tf * idf ,3							)



