
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
Alice, Bob, Derek, Carla, and Eric are to be seated in a row of $5$ chairs, under the conditions that Alice refuses to sit next to either Bob or Derek, Carla refuses to sit next to Derek, and Eric has no restrictions on whom he sits next to. Calculate the number of ways for the five of them to be seated.

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