
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
In a city, there are \( n \) traffic lights. Each light can be in one of three states (red, yellow, or green). How many different ways can all the traffic lights be illuminated?

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