
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
Elective 4-4: Coordinate System and Parametric Equations

Given the curve \\(C:\\) \\(\begin{cases} x=2\cos \theta \\ y=\sqrt{3}\sin \theta \end{cases}\\) (where \\(\theta\\) is the parameter) and the curve \\(l:\\) \\(\begin{cases} x=-2t+2 \\ y=3t \end{cases}\\) (where \\(t\\) is the parameter) intersect at two points \\(A,B\\), find the distance between points \\(A\\) and \\(B\\).

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