
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 person left a will dictating that a certain amount should be separated from their estate and invested at $4 \frac{1}{2} \%$ compound interest. From this, the municipality of their hometown should receive an annuity of 5000 florins at the end of each year for 26 years. However, the relatives contested the will and it took 3 years before it could be executed. According to the court's decision, the municipality had the option either to take the accrued three payments at once or extend the period of the annuity payments beyond the 26 years. The municipality chose the latter. For how many years will the municipality receive the annuity?

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