
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 the diagram, there are exactly nine \(1 \times 1\) squares. What is the largest number of \(1 \times 1\) squares that can be shaded so that no two shaded squares share a side?

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