
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
Six seats are arranged in a circular table. Each seat is to be painted in red, blue, or green such that any two adjacent seats have different colors. How many ways are there to paint the seats?

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