
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 $(xOy)$, the parametric equations of line $l$ are given by $ \begin{cases} x=m+ \sqrt {2}t \\ y= \sqrt {2}t \end{cases} (t \text{ is the parameter}) $, and the polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is given by $ρ^{2}= \dfrac {4}{1+ \sin ^{2} θ }$. Also, line $l$ passes through the left focus $F$ of curve $C$.
(I) Find the general equation of line $l$;
(II) Let the perimeter of the inscribed rectangle of curve $C$ be $L$, find the maximum value of $L$.

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