
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 depart from points A and B simultaneously, moving towards each other at a constant speed. When A and B meet at point C, C departs from point B, moving at a constant speed towards point A. When A and C meet at point D, A immediately turns around and reduces speed to 80% of the original speed. When A and C both arrive at point A, B is 720 meters away from point A. If the distance between C and D is 900 meters, what is the distance between A and B in meters?

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