
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 checkerboard consists of one-inch squares. A square card, 2 inches on a side, is placed on the board so that it covers part or all of the area of each of \( n \) squares. The maximum possible value of \( n \) is:
A) 4 or 5  
B) 6 or 7  
C) 8 or 9  
D) 10 or 11  
E) 12 or more

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