The area of the region, inside the ellipse $$x^{2}+4y^{2}=4$$ and outside the region bounded by the curves y=|x|-1 and y=1-|x|, is:

A

3($$\pi$$- 1)

B

2($$\pi$$- 1)

C

2$$\pi$$- 1

D

2$$\pi$$- $$\frac{1}{2}$$