
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
A group of friends decided to play a computer game. Any two people either play together or against each other. Moreover, if player \(A\) plays together with \(B\), and \(B\) plays against \(C\), then \(A\) also plays against \(C\). How many friends are in the group if each player had exactly 15 opponents? List all possible options.

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