
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
Given that a $3 \times 3$ grid must be filled with the digits from 1 to 9 such that each digit appears exactly once, and the entries in each row and column increase, how many such arrays can be formed when the center number is always 5, the top left corner is 1, and the bottom right corner is 8?

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