The area enclosed by the curves $$y = \sin x + \cos x$$ and $$y = |\cos x - \sin x|$$ over the interval $$\left[0, \frac{\pi}{2}\right]$$ is

A

$$4(\sqrt 2 - 1)$$

B

$$2 \sqrt 2(\sqrt 2 - 1)$$

C

$$2(\sqrt 2 + 1)$$

D

$$2\sqrt 2(\sqrt 2 + 1)$$