
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 length of the chord which is cut off by the circle $$\begin{cases} \left.\begin{matrix}x=2+5\cos\theta \\ y=1+5\sin\theta\end{matrix}\right.\end{cases}$$, (where $\theta$ is the parameter), from the line $$\begin{cases} \left.\begin{matrix}x=-2+4t \\ y=-1-3t\end{matrix}\right.\end{cases}$$, (where $t$ is the parameter), is ______ .

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