
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 the cells of an $8 \times 8$ table, the numbers 1 and -1 are written such that the product of the numbers is 1 in each row, in each column, and on each diagonal (including the corner cells). What is the maximum possible number of negative ones in this table?

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