
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 interns, $a$, $b$, $c$, $d$, and $e$, are to be assigned to three classes, A, B, and C, of a high school's second year. Each class must have at least one intern and at most two. If $a$ cannot be assigned to class A, calculate the number of different assignment schemes.

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