
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
In a class, there are $\mathrm{n}$ students. Any two students are either friends or not friends, and the friendship is mutual. In this class, any $\mathrm{n}-1$ students can be arranged in a circle so that each pair of adjacent students in the circle are friends, but it is not possible to arrange all $\mathrm{n}$ students in such a circle. Find the smallest value of $\mathrm{n}$.

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