
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 Sosnovka, there are 240 inhabitants, some of whom are acquainted with each other and some who are not. It is known that any five inhabitants can be seated at a round table such that each of them is acquainted with both of their neighbors. What is the minimum number of pairs of acquainted inhabitants in Sosnovka?

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