
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
a) In Wonderland, there are three cities \( A \), \( B \), and \( C \). There are 6 roads from city \( A \) to city \( B \), and 4 roads from city \( B \) to city \( C \). How many ways can one travel from \( A \) to \( C \)?

b) A new city \( D \) and several new roads have been added in Wonderland: two roads from \( A \) to \( D \) and two roads from \( D \) to \( C \). How many ways can one now travel from city \( A \) to city \( C \)?

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