
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
In a classroom containing 49 chairs, each chair must be included in a rectangular array where each row contains the same number of chairs as every other row, and each column contains the same number of chairs as every other column. There must also be at least two chairs in every row and column. How many different arrays are possible? Note that arrangements are considered unique based on their row and column configuration.

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