
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 desks is arranged such that each row has the same number of desks as every other row and each column has the same number of desks as every other column. If there must be at least two desks in every row and column and all of the desks in the room must be included, how many arrays are possible in a classroom containing $49$ desks?

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