
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 each cell of a $6 \times 6$ table, numbers are written. All the numbers in the top row and all the numbers in the left column are identical. Each of the other numbers in the table is equal to the sum of the numbers written in the two neighboring cells — the cell to the left and the cell above. What number can be written in the top-left corner cell if the number 2016 is written in the bottom-right corner cell?

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