



'''simple docstring'''



from math import isqrt
def      UpperCAmelCase   (						A  :				int				):
							SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			[True] * max_number
							for i in range(2					,		isqrt(max_number - 1				) + 1				):
														if is_prime[i]:
																					for j in range(i**2					,		A					,		A				):
																												SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			False

							return [i for i in range(2					,		A				) if is_prime[i]]
def      UpperCAmelCase   (						A  :				int = 10**8				):
							SCREAMING_SNAKE_CASE					:      List[Any]     					=			calculate_prime_numbers(max_number // 2				)

							SCREAMING_SNAKE_CASE					:      List[str]     					=			0
							SCREAMING_SNAKE_CASE					:      str     					=			0
							SCREAMING_SNAKE_CASE					:      Tuple     					=			len(A				) - 1
							while left <= right:
														while prime_numbers[left] * prime_numbers[right] >= max_number:
																					right -= 1
														semiprimes_count += right - left + 1
														left += 1

							return semiprimes_count


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









'''simple docstring'''



import string
from math import logaa
def 					UpperCAmelCase   (						A  :				str					,		A  :				str				):
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			document.translate(
							    str.maketrans(''''''					,		''''''					,		string.punctuation				)				).replace('''\n'''					,		''''''				)
							SCREAMING_SNAKE_CASE					:      Tuple     					=			document_without_punctuation.split(''' '''				)  # word tokenization
							return len([word for word in tokenize_document if word.lower() == term.lower()]				)
def 					UpperCAmelCase   (						A  :				str					,		A  :				str				):
							SCREAMING_SNAKE_CASE					:      int     					=			corpus.lower().translate(
							    str.maketrans(''''''					,		''''''					,		string.punctuation				)				)  # strip all punctuation and replace it with ''
							SCREAMING_SNAKE_CASE					:      Any     					=			corpus_without_punctuation.split('''\n'''				)
							SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			term.lower()
							return (len([doc for doc in docs if term in doc]				), len(A				))
def 					UpperCAmelCase   (						A  :				int					,		A  :				int					,		A  :				str=False				):
							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 					UpperCAmelCase   (						A  :				int					,		A  :				int				):
							return round(tf * idf					,		3				)




