
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
7 natives are sitting around a table in a circle. They include knights, liars, and bores (with at least one representative from each tribe present). A knight always tells the truth, a liar always lies, and a bore lies if there is at least one knight sitting next to them, otherwise, they say anything.

How many bores could there be at the table if each native, when asked "Who are your neighbors?", answered "Both of my neighbors are bores"? List all possible scenarios and explain why there are no other possibilities.

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