
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
Crestview's school colors are purple and gold. The students are designing a flag using three solid-colored horizontal stripes. Using one or both of the school colors, how many different flags are possible if no two adjacent stripes may have the same color?

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