
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 cost of purchasing a certain type of car is 100,000 yuan, and the annual expenses for insurance, road maintenance, and gasoline total 15,000 yuan. If the car's maintenance cost is 1,000 yuan in the first year, and increases by 2,000 yuan each year starting from the second year, the most cost-effective maximum number of years to use the car before scrapping it (i.e., when the average annual cost is the lowest) is __________ years.

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