from math import acos


class MathFunction:

    def __validate(self):
        if not self.n > 0:
            raise IOError

    def __init__(self, x, y, n):
        self.x = int(x)
        self.y = int(y)
        self.n = int(n)
        self.__validate()

    def __compute(self):
        total = 1
        for i in range(self.y):
            total *= self.x
        return total

    def __myfactorial(self):
        result = 1
        n = self.n
        while n > 1:
            result *= n
            n -= 1
        return result

    def __solveA(self):
        return self.__compute() / self.__myfactorial()

    def __solveB(self, a): #ayusin mo nalang formula nito sa solve b
        ax = 2 * a * self.x
        arccos = acos(0.235 * self.n)
        y3 = self.y * self.y * self.y
        root = 1
        return ax + (arccos / (root/y3))

    def show(self):
        a_result = round(self.__solveA(), 4)
        b_result = round(self.__solveB(a_result), 4)
        print("Result for solveA: %s" % a_result)
        print("Result for solveB: %s" % b_result)


def inputdata():
    x = input("Enter X: ")
    y = input("Enter Y: ")
    n = input("Enter N: ")
    return MathFunction(x, y, n)


if __name__ == "__main__":
    repeat = True
    while repeat:
        try:
            solver = inputdata()
            solver.show()
            inp = input("Do you want to continue? y/n >>")
            repeat = inp == "y" or inp == "Y"
        except IOError:
            print("Please enter a positive number for n. Try again")
            continue