
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 annual interest rates for fixed deposits in a bank are as follows: 11.7% for a two-year period, 12.24% for a three-year period, and 13.86% for a five-year period. If person A and person B each deposit 10,000 Yuan at the same time, A deposits the money for a two-year period initially, and then re-deposits the principal and interest for a three-year period upon maturity; B deposits the money for a five-year period. After five years, they both withdraw their money. Whose earnings are higher, and by how much?

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