



def 			lowerCAmelCase_  (						_lowercase       :     int)							-> int:







			"""simple docstring"""

			if not isinstance(_lowercase		,     _lowercase) or number < 0:
						raise ValueError("""Input must be a non-negative integer""")

			a__     :		Optional[Any]		 =						number & ~(number - 1)
			a__     :		Union[str, Any]		 =						0
			while intermediate:
						intermediate >>= 1
						index += 1
			return index - 1


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)









from collections.abc import Callable

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

def 			lowerCAmelCase_  (						_lowercase       :     RealFunc		,     _lowercase       :     RealFunc		,     _lowercase       :     int		,     )							-> float:







			"""simple docstring"""
			a__     :		Optional[int]		 =						float(_lowercase)
			while True:
						try:
									a__     :		Union[str, Any]		 =						prev_guess - function(_lowercase) / derivative(_lowercase)
						except ZeroDivisionError:
									raise ZeroDivisionError("""Could not find root""") from None
						if abs(prev_guess - next_guess) < 10**-5:
									return next_guess
						a__     :		Optional[Any]		 =						next_guess

def 			lowerCAmelCase_  (						_lowercase       :     float)							-> float:







			"""simple docstring"""
			return (x**3) - (2 * x) - 5

def 			lowerCAmelCase_  (						_lowercase       :     float)							-> float:







			"""simple docstring"""
			return 3 * (x**2) - 2


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




