
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
Divide a circle into $n$ sectors $(n \geqslant 2)$, labeled as $s_{1}, s_{2}, \cdots, s_{n}$. Each sector can be colored with one of three different colors: red, white, or blue. The requirement is that adjacent sectors must be colored differently. How many different ways are there to color the circle?

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