
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 has five cousins coming over to visit, and there are three identical bedrooms they could stay in. Each bedroom can accommodate any number of cousins, but at least one bedroom must remain empty. How many different ways can the cousins be distributed across the bedrooms?

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