
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 has 49 chairs that need to be arranged in a rectangular array. Each row and column must contain at least two chairs, and all chairs must be used in the arrangement. How many distinct rectangular arrays are possible?

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