
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 equation of a line is given by $$\begin{cases} x=1+2t \\ y=1+t \end{cases}$$ (where $t$ is the parameter). Establish a polar coordinate system with the origin as the pole and the positive semi-axis as the polar axis. The polar equation of the line is $\rho^2 - 4\rho\sin\theta - 12 = 0$.

(I) Find the parametric equation of the line.

(II) Find the length of the chord cut off by the line.

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