
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
69. $N$ oligarchs built a country with $N$ cities, and each oligarch owns exactly one city. Additionally, each oligarch constructed several roads between the cities: any pair of cities is connected by at most one road owned by each oligarch (there can be multiple roads between two cities, each owned by different oligarchs). In total, $d$ roads were built. Some oligarchs would like to form a corporation, combining their cities and roads, such that it is possible to travel from any city of the corporation to any other city of the corporation using the corporation's roads, possibly passing through roads in cities owned by other oligarchs. However, it turned out that no group of fewer than all $N$ oligarchs can establish a corporation! What is the maximum possible value of $d$ for which this is possible?

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