

def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		Optional[Any]			, _SCREAMING_SNAKE_CASE       :		Dict							):





    """simple docstring"""


    SCREAMING_SNAKE_CASE_						=    (boundary[1] - boundary[0]) / steps
    SCREAMING_SNAKE_CASE_						=    boundary[0]
    SCREAMING_SNAKE_CASE_						=    boundary[1]
    SCREAMING_SNAKE_CASE_						=    make_points(_SCREAMING_SNAKE_CASE			, _SCREAMING_SNAKE_CASE			, _SCREAMING_SNAKE_CASE							)
    SCREAMING_SNAKE_CASE_						=    0.0
    y += (h / 3.0) * f(_SCREAMING_SNAKE_CASE							)
    SCREAMING_SNAKE_CASE_						=    2
    for i in x_i:
        y += (h / 3) * (4 - 2 * (cnt % 2)) * f(_SCREAMING_SNAKE_CASE							)
        cnt += 1
    y += (h / 3.0) * f(_SCREAMING_SNAKE_CASE							)
    return y


def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		Any			, _SCREAMING_SNAKE_CASE       :		Any			, _SCREAMING_SNAKE_CASE       :		int							):





    """simple docstring"""


    SCREAMING_SNAKE_CASE_						=    a + h
    while x < (b - h):
        yield x
        SCREAMING_SNAKE_CASE_						=    x + h


def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		List[str]							):  # enter your function here





    """simple docstring"""


    SCREAMING_SNAKE_CASE_						=    (x - 0) * (x - 0)
    return y


def        _UpperCAmelCase							(	):





    """simple docstring"""


    SCREAMING_SNAKE_CASE_						=    0.0  # Lower bound of integration
    SCREAMING_SNAKE_CASE_						=    1.0  # Upper bound of integration
    SCREAMING_SNAKE_CASE_						=    10.0  # define number of steps or resolution
    SCREAMING_SNAKE_CASE_						=    [a, b]  # define boundary of integration
    SCREAMING_SNAKE_CASE_						=    method_a(_SCREAMING_SNAKE_CASE			, _SCREAMING_SNAKE_CASE							)
    print(f"""y = {y}"""							)


if __name__ == "__main__":
       main()





def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		list							):





    """simple docstring"""


    if not isinstance(_SCREAMING_SNAKE_CASE			, _SCREAMING_SNAKE_CASE							):
        raise ValueError('Input series is not valid, valid series - [2, 4, 8]'							)
    if len(_SCREAMING_SNAKE_CASE							) == 0:
        raise ValueError('Input list must be a non empty list'							)
    if len(_SCREAMING_SNAKE_CASE							) == 1:
        return True
    try:
        SCREAMING_SNAKE_CASE_						=    series[1] / series[0]
        for index in range(len(_SCREAMING_SNAKE_CASE							) - 1							):
            if series[index + 1] / series[index] != common_ratio:
                return False
    except ZeroDivisionError:
        return False
    return True


def        _UpperCAmelCase							(	_SCREAMING_SNAKE_CASE       :		list							):





    """simple docstring"""


    if not isinstance(_SCREAMING_SNAKE_CASE			, _SCREAMING_SNAKE_CASE							):
        raise ValueError('Input series is not valid, valid series - [2, 4, 8]'							)
    if len(_SCREAMING_SNAKE_CASE							) == 0:
        raise ValueError('Input list must be a non empty list'							)
    SCREAMING_SNAKE_CASE_						=    1
    for value in series:
        answer *= value
    return pow(_SCREAMING_SNAKE_CASE			, 1 / len(_SCREAMING_SNAKE_CASE							)							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()


