
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
A and B start from the same point A on a 400-meter circular track, facing away from each other, and meet for the third time after 8 minutes. Given that A walks 0.1 meters more per second than B, what is the shortest distance from the point where they meet for the third time to point A along the track?

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