
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 alongside a lane containing 12 houses. The paperboy does not have to deliver every newspaper, but to keep his customers somewhat satisfied, he must ensure that he never misses three consecutive houses with a delivery. Additionally, he must deliver at least to the last house to leave a good impression. Calculate the number of ways he can distribute the newspapers under these conditions.

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