
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 distance from factory \( C \) to railway station \( B \) along the highway is 28 km longer than from the same station \( A \). The distance from \( A \) to \( B \) through \( C \) is 2 km longer than the length of the railway segment \( AB \). The cost of transporting a ton of cargo from \( C \) to \( A \) is 130 rubles, and by railway from \( A \) to \( B \) is 260 rubles. Transporting one ton of cargo by road costs 32 rubles more per kilometer than by railway. Determine the distances \( AC, BC, \) and \( AB \).


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