
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 a shopping mall with 3 colored lights (red, yellow, or green) installed at its entrance, where the sequence of lighting is not fixed and each light is used exactly once per sequence, determine the minimum time required to achieve all different flashes.

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