
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
Five male colleagues travel for a business trip and need to be accommodated in three rooms. It is required that colleagues A and B do not stay in the same room, and each room can accommodate up to two people. How many different accommodation arrangements are possible? (Answer with a number).

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