
from __future__ import annotations

import bisect







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__ = 0					,	SCREAMING_SNAKE_CASE__ = -1				) ->    str:




       if hi < 0:
              lowercase							:     int       	=      len(_lowerCamelCase				)

       while lo < hi:
              lowercase							:     Optional[Any]       	=      lo + (hi - lo) // 2
              if sorted_collection[mid] < item:
                     lowercase							:     Union[str, Any]       	=      mid + 1
              else:
                     lowercase							:     str       	=      mid

       return lo







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__ = 0					,	SCREAMING_SNAKE_CASE__ = -1				) ->    str:




       if hi < 0:
              lowercase							:     str       	=      len(_lowerCamelCase				)

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

       return lo







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__ = 0					,	SCREAMING_SNAKE_CASE__ = -1				) ->    int:
       sorted_collection.insert(bisect_left(_lowerCamelCase					,	_lowerCamelCase					,	_lowerCamelCase					,	_lowerCamelCase				)					,	_lowerCamelCase				)







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__ = 0					,	SCREAMING_SNAKE_CASE__ = -1				) ->    Any:
       sorted_collection.insert(bisect_right(_lowerCamelCase					,	_lowerCamelCase					,	_lowerCamelCase					,	_lowerCamelCase				)					,	_lowerCamelCase				)







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    List[Any]:
       lowercase							:     int       	=      0
       lowercase							:     Union[str, Any]       	=      len(_lowerCamelCase				) - 1

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







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    str:
       lowercase							:     Tuple       	=      bisect.bisect_left(_lowerCamelCase					,	_lowerCamelCase				)
       if index != len(_lowerCamelCase				) and sorted_collection[index] == item:
              return index
       return None







def 						_snake_case(  SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				) ->    Dict:




       if right < left:
              return None

       lowercase							:     Optional[int]       	=      left + (right - left) // 2

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


if __name__ == "__main__":
  lowercase  :					List[Any]						    =							input("""Enter numbers separated by comma:\n""").strip()
  lowercase  :					Optional[Any]						    =							sorted(int(item) for item in user_input.split(""","""))
  lowercase  :					Union[str, Any]						    =							int(input("""Enter a single number to be found in the list:\n"""))
  lowercase  :					List[str]						    =							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}.''')





def 				A				(					_lowerCamelCase				, _lowerCamelCase  ):





							'''simple docstring'''




							if density <= 0:
														raise ValueError("Impossible fluid density"  )
							if bulk_modulus <= 0:
														raise ValueError("Impossible bulk modulus"  )

							return (bulk_modulus / density) ** 0.5


if __name__ == "__main__":
						import doctest

						doctest.testmod()
