2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163067A data structure, called a biased range tree, is presented that preprocesses a set S of n points in R^2 and a query distribution D for 2-sided orthogonal range counting queries. The expected query time for this data structure, when queries are drawn according to D, matches, to within a constant factor, that of the optimal decision tree for S and D. The memory and preprocessing requirements of the data structure are O(n log n).Computational GeometryData Structures and AlgorithmsI.3.5text