
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
There are 15 cities in a country, some of which are connected by roads. Each city is assigned a number equal to the number of roads leading out of it. It turns out that there are no roads between cities with the same number of roads. What is the maximum number of roads that can be in the country?

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