
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
There is a $9 \times 2004$ grid, where each integer from 1 to 2004 is filled in 9 times. Additionally, within each column, the count of each number filled does not exceed 3. Find the minimum possible sum of the numbers in the first row.

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