
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
Given the curve $C: \frac{4x^2}{9} + \frac{y^2}{16} = 1$, and the line $l: \begin{cases} x = 3 + t \\ y = 5 - 2t \end{cases} (t \text{ is a parameter})$,
(1) Write down the parametric equations of curve $C$ and the general equation of line $l$.
(2) Assuming any point $P$ on curve $C$ has a distance $d$ to line $l$, find the maximum and minimum values of $d$.

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