Xhmster 44 Top Fixed Jun 2026

The pruning rule ( node.maxVal ≤ P ) guarantees that no leaf below the node can improve the current top‑k set. Because each level reduces the search space by a factor of 4, the algorithm visits at most nodes.

Lemma 1 (Pruning Safety). If node.maxVal ≤ P where P is the current k‑th largest value, then no element in the subtree of node can belong to the true top‑k set.

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If it relates to a thesis, research paper, or dataset: If node

if node.maxVal ≤ P: // top‑heavy pruning continue