Some implementations of binary search trees allow for duplicates by introducing the following rule: for each node n, the left subtree of n contains only nodes smaller than n, and the right subtree of n contains only nodes greater or equal ton. Implement a successor and predecessor operation on such a tree. Discuss their time complexity as a function of the height of the tree.

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
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Some implementations of binary search trees allow for duplicates by introducing the following
rule: for each node n. the left subtree of n contains only nodes smaller than n, and the right
subtree of n contains only nodes greater or equal to n. Implement a successor and
predecessor operation on such a tree. Discuss their time complexity as a function of the height
of the tree.
Transcribed Image Text:Some implementations of binary search trees allow for duplicates by introducing the following rule: for each node n. the left subtree of n contains only nodes smaller than n, and the right subtree of n contains only nodes greater or equal to n. Implement a successor and predecessor operation on such a tree. Discuss their time complexity as a function of the height of the tree.
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