
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 rectangular array of chairs in a classroom is to be arranged such that each row has the same number of chairs as every other row, and each column has the same number of chairs as every other column. There must be at least two chairs in every row and column and all of the chairs in the room must be included. How many distinct arrays are possible for a classroom containing 48 chairs?

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