
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
Fill the numbers $2013 \times 1, 2013 \times 2, 2013 \times 3, 2013 \times 4, 2013 \times 5, 2013 \times 6, 2013 \times 7, 2013 \times 8, 2013 \times 9, 2013 \times 10, 2013 \times 11$ into the table such that the number in each column is divisible by the position number of that column. How many different ways can this be done?

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