
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
Four people, A, B, C, and D, move into four rooms numbered 1, 2, 3, and 4, with one person per room. Given that B does not live in room 2, and B and C must live in adjacent rooms, how many possible arrangements are there?

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