
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 and his four cousins are coming over for a weekend stay. There are four identical rooms available for them. Each person, including Matt, can stay in any room and any number of people can stay in one room. How many different ways can Matt and his cousins be assigned rooms?

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