
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 $L$ are $ \begin{cases} x= \frac {1}{2}t \\ y=1+ \frac { \sqrt {3}}{2}t \end{cases}(t \text{ is the parameter}) $, and the parametric equations of $C$ are $ \begin{cases} x=1+2\cos θ \\ y=2\sin θ \end{cases}(θ \text{ is the parameter}) $.
(1) Find the ordinary equations of $L$ and $C$;
(2) Given $P(0,1)$, $L$ intersects $C$ at points $A$ and $B$, find the value of $|PA||PB|$.

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