Answered: Design and implement a data structure…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Design and implement a data structure Median − Heap to maintain a collection of numbers S that supports Build(S), Insert(x), Extract(), and Peek() operations, defined as follows:

Build(S): Produces, in linear time, a data structure Median − Heap from an unordered input array S. For implementing Build(S), you can assume access to the procedure Find_Median(S), which finds the median of S in linear time.

Insert(x): Insert element x into Median − Heap in O(log n) time.

Peek(): Returns, in O(1) time, the value of the median of Median − Heap.

Extract(): Remove and return, in O(log n) time, the value of the median element in Median − Heap.

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