
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
Ten people are sitting around a round table. Each of them is either a knight, who always tells the truth, or a liar, who always lies. Each person was given a token. Then each of the people passed their token to one of their two neighbors. After this, 5 people said, “I have one token,” and the remaining 5 people said, “I have no tokens.” What is the maximum number of knights that could be among these 10 people?

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