
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 unit purchased a piece of land for 2560 million yuan and plans to build a building with at least 12 floors, each floor covering an area of 2000 square meters. It has been calculated that if the building is constructed with x (x ≥ 12) floors, the average construction cost per square meter is 520 + 50x yuan. To minimize the average comprehensive cost per square meter of the building, how many floors should it have? What is the minimum value of the average comprehensive cost per square meter? (Note: Average comprehensive cost = Average construction cost + Average land cost, Average land cost = Total land cost / Total building area)

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