
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the plane rectangular coordinate system $(xOy)$, with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the polar coordinate equation of the curve $C$ is $\rho =2\sin \theta $, $\theta \in \left[ 0,2\pi \right)$.

(I) Find the parametric equation of the curve $C$;

(II) Find a point $D$ on the curve $C$ such that its distance to the line $l$: $\begin{cases} & x=\sqrt{3}t+\sqrt{3} \\ & y=-3t+2 \end{cases}(t$ is the parameter$)$ is maximized. Find the rectangular coordinates of point $D$.

Present the answer in LaTex format: \boxed{Your answer}
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