
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 departments, A and B. Among them, two are English translators who cannot be assigned to the same department, and three are computer programmers who also cannot be assigned to the same department. Determine the number of different distribution plans.

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