If $$1 + \tan \theta = \sqrt{3}$$, then $$\sqrt{3} \cot \theta - 1 =$$ __________

A

$$\frac{\sqrt{3} + 1}{2}$$

B

$$\frac{2\sqrt{3} - 1}{2}$$

C

$$\frac{\sqrt{3} - 1}{2}$$

D

$$\frac{2\sqrt{3} + 1}{2}$$