
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 Cartesian coordinate system, with the origin $O$ as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established. Let curve $C$ be defined by $\begin{cases}x= \sqrt{3}\cos \alpha \\ y=\sin \alpha\end{cases} (\alpha$ is the parameter); and line $l$ be defined by $\rho(\cos \theta+\sin \theta)=4.$

(Ⅰ) Write the standard equation of curve $C$ and the Cartesian coordinate equation of line $l$;

(Ⅱ) Find the maximum distance from a point on curve $C$ to line $l$.

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