
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
Hence, a signalman can choose any of the 3 flags for the top, any of the 2 remaining flags for the middle, and any of the remaining flags for the bottom. Determine the total number of different signals that can be represented.

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