



"""simple docstring"""





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









"""simple docstring"""





def        a__     (				lowerCAmelCase__ = 2000000				):
      UpperCAmelCase_      			=							[0 for i in range(n + 1				)]
      UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							1

      for i in range(2     ,      int(n**0.5				) + 1				):
            if primality_list[i] == 0:
                  for j in range(i * i     ,      n + 1     ,      lowerCAmelCase__				):
                        UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							0
      for i in range(lowerCAmelCase__				):
            if primality_list[i] == 0:
                  sum_of_primes += i
      return sum_of_primes


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




