
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
Matt now has five cousins coming to visit, and there are still four identical rooms available. At least one room must always be empty. How many different ways can the cousins be arranged in the rooms?

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