
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 rectangular coordinate system xOy, the parametric equations of the curve C are $$\begin{cases} x= \sqrt {3}\cos\alpha \\ y=\sin\alpha\end{cases}$$ (where α is the parameter), and in the polar coordinate system with the coordinate origin O as the pole and the positive semi-axis of the x-axis as the polar axis, the polar coordinates of point M are $$(2 \sqrt {2}, \frac {3π}{4})$$, and the polar equation of line l is $$ρ\sin(θ- \frac {π}{4})+2 \sqrt {2}=0$$.
(1) Find the rectangular coordinate equation of line l and the general equation of curve C;
(2) If N is a moving point on curve C, P is the midpoint of segment MN, find the maximum value of the distance from point P to line l.

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