
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 four cities \( A, B, C, \) and \( D \) were built along a straight highway, as illustrated. The distance between \( A \) and \( C \) is \( 50 \ \text{km} \) and the distance between \( B \) and \( D \) is \( 45 \ \text{km} \). Additionally, it is known that the distance between the first and last city is \( 80 \ \text{km} \). What is the distance, in kilometers, between the cities \( B \) and \( C \)?

(a) 15  
(b) 20  
(c) 25  
(d) 5  
(e) 10

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