
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
Given that a company plans to sponsor 3 different projects in the "Four, Seven, Nine, Three School Districts" and the number of projects sponsored in the same district cannot exceed 2, determine the total number of different investment schemes available to the company.

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