
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
Person A and person B depart simultaneously from locations A and B, respectively, and travel back and forth between A and B. At the moment when persons A and B first meet at location C, person C, who departed from A at the same time as person A, is still 100 meters away from location C. When person C reaches location C, person A has walked another 108 meters. When person C reaches location B, persons A and B meet each other for the second time. What is the distance between locations A and B in meters?

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