
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
What is the length of the chord intercepted on the circle $(x-3)^2+(y+1)^2=25$ by the line given by the parametric equations $\begin{cases} x=-2+t \\ y=1-t \end{cases}$, where $t$ is a parameter?

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