
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 a similar race setup, all runners start at point $A$, must touch any part of a 1500-meter wall, and stop at point $B$. Given that the distances from $A$ to the closest point on the wall is 400 meters and from $B$ to the closest point on the wall is 600 meters, what is the minimum distance a participant must run? Round your answer to the nearest meter.

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