
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 given by $ \begin{cases} x=2\cos \phi \\ y=\sin \phi \end{cases} $ where $(\phi)$ is the parameter. Establish a polar coordinate system with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar equations of lines $l_{1}$ and $l_{2}$ are given by $\rho\sin (\theta- \frac {π}{4})= \frac { \sqrt {2}}{2}$ and $\theta= \frac {π}{2}$ respectively, and their intersection point is $M$.
(I) Determine the relationship between point $M$ and curve $C$;
(II) Point $P$ is any point on curve $C$, find the maximum value of $|PM|$.

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