Fire on a Tree (fire)

18 teams scored 1165 points on this task, for a maximum score of 100, an average score of 65 and a median score of 60.

Highlights

  1. Galileo Galilei, Trento is the institute with the most points (160).
  2. Lombardia is the region with the most points (400).

Statement

You live in the country of Fuocus, and you recently watched a documentary about the devastating effects of fires. So now you are wondering what will happen if a fire starts in your country. The country is made up of N cities, numbered from 0 to N-1, connected by N-1 bidirectional roads. It is possible to travel from any city to any other city by following a sequence of roads, since trading between cities is an important part of the economy. Unfortunately the roads are made of wood and they are therefore extremely flammable. In case of a fire in a city, the fire will spread to all the cities connected to it by a road. The fire will then spread to all the cities not already on fire connected to those cities by a road, and so on. There is a firestation in each city, and as soon as the fire reaches a city, the firefighters are able to destroy at most one of the roads connected to that city, preventing the fire from spreading further using that road...