
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
The cells of a $4 \times 4$ table are filled with integers. The product of all the numbers in each row and in each column has been calculated. Could the resulting numbers be $1, 5, 7, 2019, -1, -5, -7, -2019$ in some order?

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