
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
Given a rectangular coordinate system with its origin O as the pole, the non-negative semi-axis of the x-axis as the polar axis, and the length unit of the rectangular coordinate system as the length unit, establish a polar coordinate system. The parameter equation of the line l is $$\begin{cases} \overset{x=2-3t}{y=-1+2t}\end{cases}$$ (t is the parameter), and the polar coordinate equation of the curve C is ρsin<sup>2</sup>θ=4cosθ.

(I) Find the rectangular coordinate equation of curve C;

(II) Suppose line l intersects curve C at points A and B. Find the length |AB|.

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