
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
Four companies, A, B, C, and D, are to undertake 8 projects, with company A taking on 3 projects, company B taking on one project, and companies C and D each taking on 2 projects. How many different ways can the projects be allocated? (Answer with a number)

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