
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 excellent student Polycarp filled the cells of a table with digits so that the sum of the digits in any three adjacent cells was always 15. However, the failing student Kolka erased almost all the digits. Can you restore the table?

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