
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
In a certain country, there are 100 cities connected by a road network such that any city can be reached from any other city in only one way without any turns. The network's layout is known, and not all junctions and intersections of the network necessarily represent cities. Any dead-end branch of the network always ends in a city. A navigator can measure the length of the path between any two cities in this network. Can the total length of the entire road network be determined with 100 such measurements?

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