
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
n people wish to sit at a round table which has n chairs. The first person takes any seat. The second person sits one place to the right of the first person, the third person sits two places to the right of the second person, the fourth person sits three places to the right of the third person, and so on. For which n is this possible?

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