class Polynomial:
    def __init__(self, *argv: float):
        self.__coefficients = tuple(argv)


    def  evaluate(self, x: float) -> tuple[float, list[float]]:
        p = self.__coefficients[-1]
        c = [p]
        for ak in self.__coefficients[-2::-1]:
            p = ak + (p * x)
            c.insert(0, p)
        return c[0], c[1:]

    def __repr__(self) -> str:
        coe = []
        for c in self.__coefficients:
            coe.append(f'{c}')
        return ' '.join(coe)