
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) set off one after another at the beginning of the workday at constant and identical speeds from one point to another. Upon arrival at the final point, each of them, without delay, turns around and heads back. All the buses make the same number of round trips, with the first bus finishing its first trip after the last bus has started its first trip. Each driver counted how many times during the day he met with the other buses, and in total, the number of meetings for all drivers was 300. Determine how many buses there were and how many trips they made. In your 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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