olymmath

TUYMAADA 2022 S1

  • Senior

Some of 100100 towns of a kingdom are connected by roads.It is known that for each two towns AA and BB connected by a road there is a town CC which is not connected by a road with at least one of the towns AA and BB . Determine the maximum possible number of roads in the kingdom.

Dataset text AI-MO AoPS. Quoted with source.

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