
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
Given a rectangular array of chairs, where each row and column must contain at least three chairs and all chairs in the room must be used without any leftover, determine how many possible arrays can be formed in a classroom containing $48$ chairs.

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