
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
Each cell of a $10 \times 10$ table contains a natural number. Then, a cell is shaded if the number in that cell is less than one of its neighbors but greater than another neighbor. (Two cells are considered neighbors if they share a side.) As a result, only two cells remain unshaded. What is the minimal possible sum of the numbers in these two unshaded cells?

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