
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 Environmental Protection Bureau of a city proposes two investment plans to increase the city's green space area: Plan A involves a one-time investment of 1 million yuan; Plan B involves an investment of 100,000 yuan in the first year, with an increase of 100,000 yuan each subsequent year. Determine the number of years it will take for the total investment under Plan B to be no less than the investment under Plan A.

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