
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
Two students, A and B, start jogging in opposite directions from the same point on a 400-meter circular track, with speeds of 2 meters per second and 3 meters per second, respectively. After 6 seconds, a dog starts running from A towards B at a speed of 6 meters per second. Upon reaching B, the dog immediately turns around and runs back towards A at the same speed, continuing to do so until A and B meet for the first time. How many meters in total did the dog run?

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