
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 ordinary equation of curve C1 is $x^{2}+ \frac{y^{2}}{3}=1$, and the parametric equation of curve C is $\begin{cases} x=-2+cos\alpha \\ y=-1+sin\alpha \end{cases}$ (where $\alpha$ is the parameter). Establish a polar coordinate system with the coordinate origin O as the pole and the positive half of the x-axis as the polar axis. The polar coordinate equation of line l is $\theta= \frac{\pi}{4}, \rho \in R$.
(1) Find the rectangular coordinate equation of C1's parametric form;
(2) Given that P is the point on C2 corresponding to the parameter $\alpha= \frac{\pi}{2}$, and Q is a point on C1, find the rectangular coordinates of point Q such that the distance from the midpoint M of PQ to line l is maximized.

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