
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 line $l$: $\begin{cases} x=t \\ y=- \sqrt {3}t \end{cases}(t$ is the parameter $)$, the curve $C_{1}$: $\begin{cases} x=\cos \theta \\ y=1+\sin \theta \end{cases}(\theta$ is the parameter $)$, and the curve $C_{2}$ has the equation $\rho=-2\cos \theta+2 \sqrt {3}\sin \theta$ in the polar coordinate system with the origin $O$ as the pole and the non-negative semi-axis of $x$ as the polar axis.

1. Find the polar coordinate equation of the curve $C_{1}$ and the rectangular coordinate equation of the curve $C_{2}$.
2. Suppose the line $l$ intersects the curve $C_{1}$ at points $O$, $A$ and intersects the curve $C_{2}$ at points $O$, $B$. Find the length of $|AB|$.

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