
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
In $2015$, the Gross Domestic Product (GDP) of my country was $a$ billion yuan. If it grows at an average annual rate of $8\%$, after how many years will the GDP be twice that of $2015$ ($(\lg 2 \approx 0.3010, \lg 1.08 \approx 0.0334)$, accurate to $1$ year)?

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