code: 
  
  
  
  
  """simple docstring"""
  
  from collections.abc import Callable
  
  __A 		=			Callable[[float], float]  # type alias for a real -> real function
  
  
  
  def   UpperCamelCase__     (		lowercase__  :     Union[str, Any]       ,     lowercase__  :     Optional[int]       ,     lowercase__  :     Optional[int]       ,     ):
  		snake_case		:						int								=				float(__A   )
  		while True:
  				try:
  						snake_case		:						Dict								=				prev_guess - function(__A   ) / derivative(__A   )
  				except ZeroDivisionError:
  						raise ZeroDivisionError("Could not find root"   ) from None
  				if abs(prev_guess - next_guess   ) < 10**-5:
  						return next_guess
  				snake_case		:						Tuple								=				next_guess
  
  
  
  def   UpperCamelCase__     (		lowercase__  :     Dict   ):
  		return (x**3) - (2 * x) - 5
  
  
  
  def   UpperCamelCase__     (		lowercase__  :     Optional[Any]   ):
  		return 3 * (x**2) - 2
  
  
  if __name__ == "__main__":
  							print(newton(f, fa, 3))
  
  
style_context: 
  
  
  
  
  """simple docstring"""
  
  def   UpperCamelCase__     (		lowercase__  :     int   ):
  		if not isinstance(lowercase__       ,     lowercase__   ):
  				snake_case		:						Optional[Any]								=				F'''Input value of [number={number}] must be an integer'''
  				raise TypeError(lowercase__   )
  		if number < 0 or number % 2 == 1:
  				return False
  		snake_case		:						str								=				int(number**0.5   )
  		return number == number_sqrt * (number_sqrt + 1)
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  