
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 \(3 \times 3\) table, real numbers are arranged. It turns out that the product of the numbers in any row and any column is equal to 10, and the product of the numbers in any \(2 \times 2\) square is equal to 3. Find the number in the central cell.

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