The area of the region enclosed by the curves $$y=e^x,\; y=|e^x-1|$$  and the  $$y$$ -axis is:

A

$$ 1-\log_e 2 $$

B

$$ \log_e 2 $$

C

$$ 1+\log_e 2 $$

D

$$ 2\log_e 2 - 1 $$