
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, there is a karting track layout. Start and finish are at point $A$, but the go-kart driver can return to point $A$ any number of times and resume the lap.

The path from $A$ to $B$ and vice versa takes one minute. The loop also takes one minute to complete. The loop can only be traversed counterclockwise (the arrows indicate the possible direction of travel). The driver does not turn back halfway and does not stop. The racing duration is 10 minutes. Find the number of possible different routes (sequences of segments traversed).

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