
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 certain company borrowed 10 million yuan from a bank at the beginning of the first year to invest in a project. The loan is calculated on a compound interest basis with an annual interest rate of 10%, and a one-time repayment is agreed upon. One year after the loan, the project generates a profit of 3 million yuan at the beginning of each year, which is then deposited into the bank. The deposit interest is also calculated on a compound interest basis with an annual interest rate of 10%. Then, at the beginning of the $n$th year, the total profit of the project is ______ million yuan, and by the beginning of the ______ year, the loan can be repaid in one lump sum.

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