
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
At the class reunion, 45 people attended. It turned out that any two of them, who have the same number of acquaintances among the attendees, do not know each other. What is the largest number of pairs of acquaintances that could have been among the attendees?

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