

"""simple docstring"""




import string
from math import logaa



def 	UpperCAmelCase__   (				A__	,    A__   )      ->      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 	UpperCAmelCase__   (				A__	,    A__   )      ->      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(lowercase_   ))



def 	UpperCAmelCase__   (				A__	,    A__	,    A__=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 	UpperCAmelCase__   (				A__	,    A__   )      ->      float:




   """simple docstring"""
   return round(tf * idf	,    3   )







"""simple docstring"""




from __future__ import annotations

import bisect



def 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 0	,    A__ = -1   )      ->      int:




   """simple docstring"""
   if hi < 0:
      lowerCamelCase__						=			len(A__   )

   while lo < hi:
      lowerCamelCase__						=			lo + (hi - lo) // 2
      if sorted_collection[mid] < item:
         lowerCamelCase__						=			mid + 1
      else:
         lowerCamelCase__						=			mid

   return lo



def 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 0	,    A__ = -1   )      ->      int:




   """simple docstring"""
   if hi < 0:
      lowerCamelCase__						=			len(A__   )

   while lo < hi:
      lowerCamelCase__						=			lo + (hi - lo) // 2
      if sorted_collection[mid] <= item:
         lowerCamelCase__						=			mid + 1
      else:
         lowerCamelCase__						=			mid

   return lo



def 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 0	,    A__ = -1   )      ->      None:




   """simple docstring"""
   sorted_collection.insert(bisect_left(A__	,    A__	,    A__	,    A__   )	,    A__   )



def 	UpperCAmelCase__   (				A__	,    A__	,    A__ = 0	,    A__ = -1   )      ->      None:




   """simple docstring"""
   sorted_collection.insert(bisect_right(A__	,    A__	,    A__	,    A__   )	,    A__   )



def 	UpperCAmelCase__   (				A__	,    A__   )      ->      int | None:




   """simple docstring"""
   lowerCamelCase__						=			0
   lowerCamelCase__						=			len(A__   ) - 1

   while left <= right:
      lowerCamelCase__						=			left + (right - left) // 2
      lowerCamelCase__						=			sorted_collection[midpoint]
      if current_item == item:
         return midpoint
      elif item < current_item:
         lowerCamelCase__						=			midpoint - 1
      else:
         lowerCamelCase__						=			midpoint + 1
   return None



def 	UpperCAmelCase__   (				A__	,    A__   )      ->      int | None:




   """simple docstring"""
   lowerCamelCase__						=			bisect.bisect_left(A__	,    A__   )
   if index != len(A__   ) and sorted_collection[index] == item:
      return index
   return None



def 	UpperCAmelCase__   (				A__	,    A__	,    A__	,    A__   )      ->      int | None:




   """simple docstring"""
   if right < left:
      return None

   lowerCamelCase__						=			left + (right - left) // 2

   if sorted_collection[midpoint] == item:
      return midpoint
   elif sorted_collection[midpoint] > item:
      return binary_search_by_recursion(A__	,    A__	,    A__	,    midpoint - 1   )
   else:
      return binary_search_by_recursion(A__	,    A__	,    midpoint + 1	,    A__   )


if __name__ == "__main__":
     SCREAMING_SNAKE_CASE_     :			Optional[Any]	  =			input('''Enter numbers separated by comma:\n''').strip()
     SCREAMING_SNAKE_CASE_     :			int	  =			sorted(int(item) for item in user_input.split(''','''))
     SCREAMING_SNAKE_CASE_     :			Optional[Any]	  =			int(input('''Enter a single number to be found in the list:\n'''))
     SCREAMING_SNAKE_CASE_     :			Dict	  =			binary_search(collection, target)
     if result is None:
          print(F'''{target} was not found in {collection}.''')
     else:
          print(F'''{target} was found at position {result} in {collection}.''')




