
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, 9 numbers are written such that the sums of the numbers in the rows, columns, and each of the 2 diagonals are equal. The sum of all 9 numbers is 2019. What number is written in the central cell of the table?

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