
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 classroom contains 48 chairs to be arranged in a rectangular array where each row and each column contains at least two chairs, and all the chairs in the room must be included. Each arrangement where the number of rows differs from the number of columns counts as distinct. How many different arrays can be formed?

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