
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
A paperboy delivers newspapers to 15 houses along King's Avenue. He doesn't always deliver to every house, but to avoid being fired he never misses three consecutive houses. Additionally, if he delivers a paper to the first house, he must also deliver to the last house. Compute the number of ways the paperboy could deliver papers in this manner.

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