
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 $9 \times 2004$ table, where the integers 1 to 2004 are each filled 9 times. In each row, the difference between the numbers should not be larger than 3. Find the minimum possible sum of the numbers in one row.

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