
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 group of 30 people, any two people are either friends or enemies, and each person has exactly six enemies. How many ways can three people be selected from the group such that any two of them are either friends or enemies?

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