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Leetcode 3067. Count Pairs of Connectable Servers in a Weighted Tree Network
For each node c in a weighted tree, count unordered pairs of distinct servers (a,b) (neither equal to c) such that the distances from c to a and to b are each divisible by signalSpeed and the paths from c to a and b go into different incident branches (edge-disjoint). The core task is, for every node, to compute distance residues (mod signalSpeed) of nodes in each neighboring subtree and sum cross-subtree products of nodes with residue 0 to get the pair counts.
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