
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
A certain city actively responded to the national call "houses are for living in, not for speculation". Under macro-control, the transaction price of commercial housing decreased from $10,000$ yuan per square meter in September last year to $8,100$ yuan per square meter in November. The rate of decline in house prices in September, October, November, and December last year was the same. Therefore, the unit price of housing in December last year was ____ yuan per square meter.

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