
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 a certain city, the area of new housing constructed in 2015 was 5 million m^2, of which the resettlement housing area was 2 million m^2. It is planned that each subsequent year, the area of new housing constructed will increase by 10%, and the area of resettlement housing will increase by 500,000 m^2 per year. The year 2015 is considered the first year.
(1) How many years will it take for the cumulative area of resettlement housing constructed in the city to first reach or exceed 30 million m^2?
(2) Does there exist two consecutive years where the proportion of resettlement housing area to the total new housing area remains the same? If so, provide an explanation.

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