
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 are 30 people studying in the Slytherin House at Hogwarts. Some of them are friends (friendship is mutual, i.e., if A is friends with B, then B is also friends with A), but no three people are pairwise friends with each other. For New Year, everyone sent postcards to all their friends. What is the maximum number of postcards that could have been sent?

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