


"""simple docstring"""





from collections.abc import Callable

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


def   _snake_case    (    _snake_case					:      Tuple			, _snake_case					:      str			, _snake_case					:      List[str]			, ):
      lowerCAmelCase       :						str							= float(_a      )
      while True:
            try:
                  lowerCAmelCase       :						List[str]							= 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
            lowerCAmelCase       :						str							= next_guess


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


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


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






from __future__ import annotations

import sys






def 	lowerCamelCase_       (			_a			):




		"""simple docstring"""






		if n < 0:
				raise ValueError('''Negative arguments are not supported'''			)
		return _fib(_a			)[0]






def 	lowerCamelCase_       (			_a			):




		"""simple docstring"""






		if n == 0:  # (F(0), F(1))
				return (0, 1)

		# F(2n) = F(n)[2F(n+1) − F(n)]
		# F(2n+1) = F(n+1)^2+F(n)^2
		lowerCAmelCase__	,      lowerCAmelCase__  :     Dict       	=   _fib(n // 2			)
		lowerCAmelCase__  :     Dict       	=   a * (b * 2 - a)
		lowerCAmelCase__  :     Union[str, Any]       	=   a * a + b * b
		return (d, c + d) if n % 2 else (c, d)


if __name__ == "__main__":
		lowerCamelCase		=						int(sys.argv[1])
		print(f'''fibonacci({n}) is {fibonacci(n)}''')




