
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 is some number of people in a room. Each of them knows exactly three other people. It is known that among any three people, there are two people who do not know each other. What is the minimum number of people that can be in the room?

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