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What is Heavy-Light Decomposition mean?
In combinatorial mathematics and theoretical computer science, heavy path decomposition (also called heavy-light decomposition) is a technique for decomposing a rooted tree into a set of paths. In a heavy path decomposition, each non-leaf node selects one "heavy edge", the edge to the child that has the greatest number of descendants (breaking ties arbitrarily). The selected edges form the paths of the decomposition.
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