
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 that there is a display with a row of 7 holes, each of which can show a 0 or 1, and every time 3 holes are shown, but two adjacent holes cannot be shown at the same time, calculate the total number of different signals the display can show.

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