
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
Several buses (more than three) at the beginning of the workday consecutively depart with constant and identical speeds from one point to another. Upon arrival at the final point, each bus immediately turns around and heads back. All buses make the same number of round trips, and the first bus finishes its first trip later than the last bus departs on its first trip. Each driver counted how many times during the day he met with the other buses, and the total number of meetings for all drivers was 300. Determine how many buses there were and how many trips they made. In the answer, indicate the product of the number of buses and the number of trips.

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