
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
We divided a rectangle into two rows and six columns, resulting in 12 cells. We aimed to fill these cells with the numbers 1 to 12 such that the sum of the numbers in each column is 13, and the sum of the numbers in each row is 39. In how many ways can this be done?

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