
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
Contracting a certain project. Team A alone needs 36 days to complete; Team B alone needs 24 days to complete; Team C alone only needs 18 days to complete. In actual construction, the three teams first complete half of the project together, and then Teams A and C continue to complete the remaining half of the project together. The total contract fee for the project is 36,000 yuan. If the contract fee is distributed according to the amount of work completed, then, how much contract fee should Team C receive?

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