
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 is a circular bus route with  $n\geqslant2$  bus stops. The route can be frequented in both directions. The way between two stops is called *section* and one of the bus stops is called *Zürich*. A bus shall start at Zürich, pass through all the bus stops **at least once** and drive along exactly  $n+2$  sections before it returns to Zürich in the end. Assuming that the bus can chance directions at each bus stop, how many possible routes are there?

EDIT: Sorry, there was a mistake...corrected now, thanks mavropnevma!  :oops:

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