
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
At the end of 2000, the population of a city was 200,000, with an average living space of 8m<sup>2</sup> per person. The plan is to increase the average living space to 10m<sup>2</sup> per person by 2004. If the city controls the average annual population growth rate at 1%, how much living space in square meters (in ten thousand m<sup>2</sup> units, rounded to two decimal places) does the city need to add on average each year to achieve this plan?

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