Given a weighted graph with n nodes and m edges. for each node v we should calculate number of nodes u such that d(v,u)<=k . n,m<=5e4 k<=100; Please somebody help me. UPD: I don't know if it's important or not but Wi<=100 for every edge.

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Given a weighted graph with n nodes and m edges. for each node v we should calculate number of nodes u such that d(v,u)<=k . n,m<=5e4 k<=100; Please somebody help me. UPD: I don't know if it's important or not but Wi<=100 for every edge.

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kis small here. You can do DP with states —DP(u,k) = number of nodes in subtree ofuat distancek. Then you need to combine answers for subtrees. ComplexityO(nk). (Notice that we are not interested in any path of length >k)However this problem can also be solved in

O(nlogn), for largek, using Centroid Decomposition.You can submit the unweighted graph version of this problem here — 161D - Расстояние в дереве.

Will this tree concept work for cyclic graph ? (Subtree)

The graph isn't a tree.

Auto comment: topic has been updated by EBAD (previous revision, new revision, compare).Are negative weights allowed?