
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 is set up such that each row and each column contains the same number of chairs. The requirement is that there must be at least two chairs in every row and column, and all chairs must be used in the setup. How many unique arrays are possible if a classroom contains 49 chairs?

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