
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 university students arrived at the "Horizon" base. Some of them are familiar with each other while others are not. It is known that any group of six students can be accommodated in two three-person rooms in such a way that everyone in the same room knows each other. What is the minimum number of pairs of students who could be familiar with each other among those who arrived at the base?

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