
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. Determine the maximum possible value of $n$.
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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