Trees (data structures) | Geometric data structures

Range query tree

In computer science, a Range Query Tree, or RQT, is a term for referring to a data structure that is used for performing range queries and updates on an underlying array, which is treated as the leaves of the tree. RQTs are, in principle, perfect binary trees with a static structure, where each node stores the result of applying a fixed binary operation to a range of the tree's leaves (or elements of the underlying array). A Range Query Tree uses O(n) storage, where n is the size of the array on top of which the structure is built, and can be constructed in O(n) time. Range Query Trees support performing range queries and updates on its leaves in O(log n) time. Range Query Trees are usually wrongly referred to as Segment Trees or Range Trees, both of them inaccurate terms since they also refer to other already existing structures. Range Query Trees can be generalized to higher dimension spaces, and can also be implemented with two Fenwick Trees when the range operations are sums. (Wikipedia).

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Related pages

Big O notation | Dimension | Range tree | Binary tree | Fenwick tree