The area enclosed by the curves $$y = \log_e(x+e^2)$$, $$x = \log_e\left(\frac{2}{y}\right)$$, above the line $$x = \log_e 2$$ and $$y = 1$$ is

A

$$2 + e - \log_e 2$$

B

$$1 + e - \log_e 2$$

C

$$e - \log_e 2$$

D

$$1 + \log_e 2$$