
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
2018 politicians gathered at a summit. Every pair of them planned to hold a private discussion. At some point, it turned out that among any four politicians, there is one who has already talked with the other three. What is the greatest number of discussions yet to be held?

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