
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 rectangular table  $ 9$  rows  $ \times$   $ 2008$  columns is fulfilled with numbers  $ 1$ ,  $ 2$ , ..., $ 2008$  in a such way that each number appears exactly  $ 9$  times in table and difference between any two numbers from same column is not greater than  $ 3$ . What is maximum value of minimum sum in column (with minimal sum)?

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