
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 people start from points $\mathrm{A}$ and $\mathrm{B}$ simultaneously and move towards each other. Person A travels at a speed of 12.5 kilometers per hour, and Person B travels at 10 kilometers per hour. After traveling for 30 minutes, Person A arrives at the entrance of a bank and realizes he forgot his credit card. He turns back and heads to point $\mathrm{A}$ at the same speed, retrieves the card, and then proceeds towards $\mathrm{B}$ again at the same speed. When Person B reaches point $\mathrm{A}$, Person A still needs 15 minutes to reach point $\mathrm{B}$. What is the distance between points A and B in centimeters?

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