


"""simple docstring"""





from .hash_table import HashTable



class 		snake_case_(							a__      ):






     def __init__(						self	:       Dict       ,					*UpperCamelCase_	:       Optional[Any]       ,					**UpperCamelCase_	:       Optional[int]					):
           super().__init__(*UpperCamelCase_       ,					**UpperCamelCase_					)






     def   lowerCamelCase__  (						self	:       str       ,					UpperCamelCase_	:       int       ,					UpperCamelCase_	:       Optional[int]=None					):
           lowerCAmelCase       :						Optional[int]							= 1
           lowerCAmelCase       :						List[str]							= self.hash_function(key + i * i					)

           while self.values[new_key] is not None and self.values[new_key] != key:
                 i += 1
                 lowerCAmelCase       :						Union[str, Any]							= (
                     self.hash_function(key + i * i					)
                     if not self.balanced_factor() >= self.lim_charge
                     else None
                 )

                 if new_key is None:
                       break

           return new_key






"""simple docstring"""





from collections.abc import Callable

snake_case__		:  Optional[int]     					=					Callable[[float], float]  # type alias for a real -> real function


def   _snake_case    (    _snake_case					:      RealFunc			, _snake_case					:      RealFunc			, _snake_case					:      int			, ):
      lowerCAmelCase       :						Dict							= float(_snake_case      )
      while True:
            try:
                  lowerCAmelCase       :						Optional[Any]							= prev_guess - function(_snake_case      ) / derivative(_snake_case      )
            except ZeroDivisionError:
                  raise ZeroDivisionError('''Could not find root'''      ) from None
            if abs(prev_guess - next_guess      ) < 10**-5:
                  return next_guess
            lowerCAmelCase       :						Optional[int]							= next_guess


def   _snake_case    (    _snake_case					:      float      ):
      return (x**3) - (2 * x) - 5


def   _snake_case    (    _snake_case					:      float      ):
      return 3 * (x**2) - 2


if __name__ == "__main__":
 print(newton(f, fa, 3))


