
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
Now, consider the scenario where Matt's five cousins are visiting, and there are still four identical rooms they can stay in. In how many different ways can the cousins be distributed among the rooms?

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