
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
There were 14 participants sitting at a round table during a conference. During the break, some of them (but not all) went to drink coffee. It turned out that each participant remaining at the table had exactly one neighbor who left. How many participants could have gone for coffee? Provide all possible answers.

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