
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 that the pole of the polar coordinate system coincides with the origin of the rectangular coordinate system, and the polar axis coincides with the positive semi-axis of the x-axis. If the parameter equation of line l is $$\begin{cases} x=t+1 \\ y=2t \end{cases}$$ (t is the parameter), and the polar coordinate equation of curve C is ρ=2, find the length of the chord intercepted by curve C on line l.

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