
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 line $l$ are given by $\begin{cases} x=a+ \frac {1}{2}t \\ y= \frac { \sqrt {3}}{2}t\end{cases}(t$ is the parameter$)$. Establish a polar coordinate system with the coordinate origin as the pole and the non-negative half of the $x$-axis as the polar axis. The polar equation of curve $C$ is given by $\rho^{2}= \frac {3}{1+2\cos^{2}\theta }$.
(I) Find the standard equation of line $l$ and the parametric equations of curve $C$;
(II) When $a=1$, $P$ is a moving point on curve $C$, find the maximum distance from point $P$ to line $l$.

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