
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 is recruiting 8 employees and plans to evenly distribute them to two sub-departments, A and B. Two of the employees are English translators who cannot be placed in the same department. In addition, three of the employees are computer programmers who cannot all be in the same department. How many different distribution plans are there?

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