
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 $(xOy)$, a pole coordinate system is established with the origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. The parametric equations of the curve $(C_{1})$ are given by $ \begin{cases} x=2\cos α \\ y=2+2\sin α \end{cases} (α \text{ is the parameter})$, and the equation of the curve $(C_{2})$ is $x^{2}+(y-4)^{2}=16$.

(I) Find the polar coordinate equation of the curve $(C_{1})$;

(II) If the curve $θ= \frac {π}{3}(ρ > 0)$ intersects the curves $(C_{1})$ and $(C_{2})$ at points $A$ and $B$, find $|AB|$.

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