
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
A $10 \times 10$ table is filled with zeros. In one operation, the minimum number in the table is found (if there are several such numbers, any one is chosen), and one is added to it, as well as to all the numbers in the cells adjacent to it by side or corner. What is the largest number that can appear in one of the cells of the table after 80 operations?

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