
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 the Empire of Westeros, there were 1000 cities and 2017 roads (each road connects two cities). From each city, it was possible to travel to every other city. One day, an evil wizard cursed $N$ roads, making them impassable. As a result, 7 kingdoms emerged, such that within each kingdom, one can travel between any pair of cities on the roads, but it is impossible to travel from one kingdom to another using the roads. What is the maximum possible value of $N$ for which this is possible?

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