
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 a $3 \times 3$ grid, fill in 9 different natural numbers such that the product of the three numbers in each row and the product of the three numbers in each column are all equal to P. For which of the numbers 1996, 1997, 1998, 1999, 2000, and 2001 can P take?

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