HBC52821SequeHBCeGame,动态规划Defense Tower题解

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In ICPCCamp, there are n cities and (n - 1) (bidirectional) roads between cities. The i-th road is between the a_i a i ​ -th and b_i b i ​ -th cities. It is guaranteed that cities are connected. In the i-th city, there is a defense tower with power p_i p i ​ . The tower protects all cities with a road directly connected to city i. However, the tower in city i does not protect city i itself. Bobo would like to destroy all defense towers. When he tries to destroy the tower in city i, any not-destroyed tower protecting city i will deal damage whose value equals to its power to Bobo. Find out the minimum total damage Bobo will receive if he chooses the order to destroy the towers optimally.

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