
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 curve $C_{1}$ is defined by the parametric equations: $$C_{1} :  \begin{cases} x=cos\alpha \ y=1+sin\alpha \end{cases}$$ and the curve $C_{2}$ has the polar coordinate equation $ρ=2cosθ+2 \sqrt {3}sinθ$. The line $l$ has the polar coordinate equation $θ= \frac {π}{3}$.
(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 $O$ and $M$, and intersects the curve $C_{2}$ at points $O$ and $N$. Find the length of $MN$.

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