
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 students studying in the Slytherin faculty. Some of them are friends (friendship is mutual), but there are no 3 people who are all mutual friends with each other. For New Year, each student sent greeting cards to all their friends. What is the maximum number of greeting cards that could have been sent?

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