
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 a simplified network of cities $A$, $B$, and $D$, roads $\widetilde{AB}$, $\widetilde{AD}$, $\widetilde{AD'}$, $\widetilde{BD}$, and $\widetilde{BD'}$ connect these cities. How many different routes are there from $A$ to $B$ that use each road exactly once? Assume that the road between $A$ and $D$ is traversed before moving to $B$.

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