
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
The problem of transporting goods from a riverside city A to another location B. The shortest distance from B to the river bank is BC = b kilometers, and the distance of AC along the river is a kilometers. If the water transportation cost is \(\frac{1}{n}\) times the road transportation cost (where \(n\) is a number greater than 1), to minimize the total transportation cost from A to B, what is \(DC = \qquad\) kilometers?

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