
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
The rules for a race require that all runners start at $A$, touch any part of the 800-meter wall, and stop at $B$. Determine the minimum number of meters a participant must run if $A$ is located 200 meters from the wall vertically and $B$ is situated 400 meters east and 600 meters north of the wall. Express your answer to the nearest meter.

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