
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
Cities \(A\), \(B\), \(C\), and \(D\) are connected by roads as shown in the diagram. How many ways can one travel from city \(A\) to city \(D\), visiting each city exactly once?

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