
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 x 10 grid is filled with non-negative numbers. It is known that in every (vertical or horizontal) strip of 1 x 3 the sum of the numbers is equal to 9. What is the maximum possible value of the sum of the numbers in the entire grid?

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