
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
In the village of Berezovka, there are 200 residents, some of whom know each other while others do not. It is known that any six residents can be seated at a round table such that each one of them knows both of their neighbors. What is the minimum number of pairs of acquaintances among the residents in Berezovka?

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