
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
We know the following about a one-story apartment: a) there is at most 1 door between any two rooms; b) from any room, at most 1 door opens to the outside of the apartment; c) there are 12 doors in the apartment. What is the minimum number of rooms in the apartment?

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