
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
In the diagram, a go-kart track layout is shown. The start and finish are at point $A$, and the go-kart driver can return to point $A$ and re-enter the track as many times as desired.

On the way from $A$ to $B$ or back, the young racer Yura spends one minute. Yura also spends one minute on the loop. The loop can only be driven counterclockwise (the arrows indicate the possible directions of travel). Yura does not turn back halfway and does not stop. The total duration of the race is 10 minutes. Find the number of possible different routes (sequences of sections traveled).

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