
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 people stand in a row. Determine the number of different arrangements under the following conditions:

(1) Person A must stand in the middle;
(2) Person A and B cannot stand adjacent to each other;
(3) Person A and B cannot stand at either end.

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