
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 a total of $60$ chairs that need to be arranged in rows and columns. Each row and column must contain at least two chairs. How many different ways can the chairs be arranged such that all chairs are used, and every configuration is considered unique if the number of rows is different from the number of columns?

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