
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
Assuming that a space station has three modules: A, B, and C, and four astronauts: A, B, C, and D, and that at least one person is in each of the modules, but A and B cannot be in the same module, calculate the number of different arrangements possible.

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