
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 country "Energetics," there are 150 factories, and some of them are connected by bus routes that do not stop anywhere except at these factories. It turns out that any four factories can be split into two pairs such that a bus runs between each pair of factories. Find the minimum number of pairs of factories that can be connected by bus routes.

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