
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
175 schoolchildren arrived at the health camp. Some children know each other, and some do not. It is known that any six schoolchildren can be accommodated in two three-person rooms in such a way that all the schoolchildren in one room will know each other. What is the minimum number of pairs of acquainted schoolchildren that could have come to the camp?

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