
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
In how many ways can eight out of the nine digits \(1, 2, 3, 4, 5, 6, 7, 8,\) and \(9\) be placed in a \(4 \times 2\) table (4 rows, 2 columns) such that the sum of the digits in each row, starting from the second, is 1 more than in the previous row?

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