

lowercase     :       dict[str, float]        =       {
    "kilogram": 1,
    "gram": pow(10, 3),
    "milligram": pow(10, 6),
    "metric-ton": pow(10, -3),
    "long-ton": 0.0009842073,
    "short-ton": 0.0011023122,
    "pound": 2.2046244202,
    "stone": 0.1574731728,
    "ounce": 35.273990723,
    "carrat": 5000,
    "atomic-mass-unit": 6.0_22_13_66_52E26,
}

lowercase     :       dict[str, float]        =       {
    "kilogram": 1,
    "gram": pow(10, -3),
    "milligram": pow(10, -6),
    "metric-ton": pow(10, 3),
    "long-ton": 1016.04608,
    "short-ton": 907.184,
    "pound": 0.453592,
    "stone": 6.35029,
    "ounce": 0.0283495,
    "carrat": 0.0002,
    "atomic-mass-unit": 1.6_60_54_01_99E-27,
}







def  UpperCAmelCase_   (_lowerCAmelCase :		str     ,			_lowerCAmelCase :		str     ,			_lowerCAmelCase :		float		):
			if to_type not in KILOGRAM_CHART or from_type not in WEIGHT_TYPE_CHART:
						__UpperCamelCase    :    Dict								=      (
						    F'''Invalid \'from_type\' or \'to_type\' value: {from_type!r}, {to_type!r}\n'''
						    F'''Supported values are: {", ".join(_lowerCAmelCase		)}'''
						)
						raise ValueError(_lowerCAmelCase		)
			return value * KILOGRAM_CHART[to_type] * WEIGHT_TYPE_CHART[from_type]


if __name__ == "__main__":
					import doctest

					doctest.testmod()


from collections.abc import Callable

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







def  UpperCAmelCase_   (_lowerCAmelCase :		RealFunc     ,			_lowerCAmelCase :		RealFunc     ,			_lowerCAmelCase :		int     ,			):
			__UpperCamelCase    :    Any								=      float(_lowerCAmelCase		)
			while True:
						try:
									__UpperCamelCase    :    List[Any]								=      prev_guess - function(_lowerCAmelCase		) / derivative(_lowerCAmelCase		)
						except ZeroDivisionError:
									raise ZeroDivisionError("Could not find root"		) from None
						if abs(prev_guess - next_guess		) < 10**-5:
									return next_guess
						__UpperCamelCase    :    Tuple								=      next_guess







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







def  UpperCAmelCase_   (_lowerCAmelCase :		float		):
			return 3 * (x**2) - 2


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