If $$D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 1 + x & 1 \\ 1 & 1 & 1 + y \end{vmatrix}$$ for $$x \ne 0, y \ne 0$$ then $$D$$ is

A

divisible by neither $$x$$ nor $$y$$

B

divisible by both $$x$$ and $$y$$

C

divisible by $$x$$ but not $$y$$

D

divisible by $$y$$ but not $$x$$