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Iacono's working set structure
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Iacono's working set structure : ウィキペディア英語版
Iacono's working set structure

In computer science, Iacono's working set structure〔 is a comparison based dictionary. It supports insertion, deletion and access operation to maintain a dynamic set of n elements.
The working set of an item x is the set of elements that have been accessed in the structure since the last time that x was accessed (or inserted if it was never accessed).
Inserting and deleting in the working set structure takes O(\log n) time while accessing an element x takes O(\log w(x)). Here, w(x) represents the size of the working set of x.
==Structure==

To store a dynamic set of n elements, this structure consists of a series of ''Red–black trees'', or other ''Self-balancing binary search trees'' T_1, T_2, \ldots, T_k, and a series of ''deques'' (Double-ended queues) Q_1, Q_2, \ldots Q_k, where k = \lceil \log\log n\rceil. For every 1\leq i\leq k, tree T_i and deque Q_i share the same contents and pointers are maintained between their corresponding elements. For every i < k , the size of T_i and Q_i is 2^. Tree T_k and deque Q_k consist of the remaining elements, i.e., their size is n - \sum_^ 2^. Therefore, the number of items in all trees and the number of elements in all deques both add up to n.
Every element that has been inserted in the data structure is stored in exactly one of the trees and its corresponding deque.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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