
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
A line defined by the parametric equations $ \begin{cases} x=2+ \frac { \sqrt {2}}{2}t \\ y=-1+ \frac { \sqrt {2}}{2}t \end{cases} $, where $t$ is a parameter, is intercepted by a circle $x^{2}+y^{2}=9$. Calculate the length of the chord formed by this intersection.

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