
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
Railway routes. The diagram shows a simplified scheme of railway tracks. We want to determine how many different ways one can travel from \(A\) to \(E\) without traveling over the same section twice on any route.

How many different routes exist in total?

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