



from collections.abc import Callable

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


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


def 	_A	(   _UpperCamelCase			):
				return (x**3) - (2 * x) - 5


def 	_A	(   _UpperCamelCase			):
				return 3 * (x**2) - 2


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





def 	_A	(   _UpperCamelCase			):
				if not isinstance(_UpperCamelCase      ,					_UpperCamelCase			):
								_UpperCAmelCase						:  List[Any]     					=	(
								    '''operation can not be conducted on a object of type '''
								    F'''{type(_UpperCamelCase			).__name__}'''
								)
								raise TypeError(_UpperCamelCase			)
				_UpperCAmelCase						:  List[str]     					=	''''''
				for _ in range(0      ,					32			):
								bit_string += str(number % 2			)
								_UpperCAmelCase						:  Union[str, Any]     					=	number >> 1
				return bit_string


def 	_A	(   _UpperCamelCase			):
				if number < 0:
								raise ValueError('''the value of input must be positive'''			)
				elif isinstance(_UpperCamelCase      ,					_UpperCamelCase			):
								raise TypeError('''Input value must be a \'int\' type'''			)
				elif isinstance(_UpperCamelCase      ,					_UpperCamelCase			):
								raise TypeError('''\'<\' not supported between instances of \'str\' and \'int\''''			)
				_UpperCAmelCase						:  Tuple     					=	0
				# iterator over [1 to 32],since we are dealing with 32 bit integer
				for _ in range(1      ,					33			):
								# left shift the bits by unity
								_UpperCAmelCase						:  List[str]     					=	result << 1
								# get the end bit
								_UpperCAmelCase						:  List[Any]     					=	number % 2
								# right shift the bits by unity
								_UpperCAmelCase						:  Optional[int]     					=	number >> 1
								# add that bit to our ans
								_UpperCAmelCase						:  Any     					=	result | end_bit
				return get_reverse_bit_string(_UpperCamelCase			)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
