
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
We need to establish a transmission line system to connect Pécs, Szeged, Debrecen, and Esztergom such that each city is connected to every other city, and the total length of the constructed lines is as short as possible. (We determine the mutual positions of the cities from a map and ignore any other terrain characteristics.)

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