
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
The parametric equation of curve C is given by $$\begin{cases} x=2+ \sqrt {10}\cos\theta \\ y=-1+ \sqrt {10}\sin\theta\end{cases}$$ and the parametric equation of line l is given by $$\begin{cases} x=1+2t \\ y=1+t\end{cases}.$$ Find the length of the chord formed by line l and curve C

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