
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
12 people sat around a round table; some of them are knights (who always tell the truth), and others are liars (who always lie). Then each of them said, "There is a liar among my neighbors." What is the maximum number of people sitting at the table who can say, "There is a knight among my neighbors?"

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