
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 drawing, a karting track layout is shown. The start and finish are at point \( A \), with the kart driver being able to return to point \( A \) and reenter the loop as many times as desired.

The time taken for the journey from \( A \) to \( B \) or back is one minute. The time taken to travel around the loop is also one minute. The loop can only be driven counterclockwise (the arrows show possible directions). The driver does not turn back midway and does not stop. The total duration of the race is 10 minutes. Determine the number of possible different routes (sequences of segments).

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