
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
Three athletes start from the same point on a closed running track with a length of 400 meters and run in the same direction. The first runs at a speed of 155 m/min, the second at 200 m/min, and the third at 275 m/min. After what minimum time will all three be at the same point again? How many overtakes will occur during this time (not counting the start and finish points)?

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