
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
A company has recruited 8 new employees, who are to be evenly distributed between two sub-departments, A and B. There are restrictions that the two translators cannot be in the same department, and the three computer programmers cannot all be in the same department. How many different distribution plans are possible?

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