Choosing RB-tree as the underlying data structure, define additional attributes to be stored in the nodes to execute this query in O(1) - time. Justify that the added attributes can be effectively maintained during performing the modifying operations (i.e., RB-insert and RB-delete). Hint: Find similarities to the MIN-GAP problem.

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
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2. Problem 2
For a dynamic set S of integers and an index i, we wish to effectively
find the position of the first odd number in S written in increasing
order. (Suppose the answer is 0, if there are no odd number in S.)
For example, the answer is 3 for S= {2, 4, 7, 8, 9} and becomes 4 after
deleting 7.
||
Choosing RB-tree as the underlying data structure, define additional
attributes to be stored in the nodes to execute this query in O(1) - time.
Justify that the added attributes can be effectively maintained during
performing the modifying operations (i.e., RB-insert and RB-delete).
Hint: Find similarities to the MIN-GAP problem.
Transcribed Image Text:2. Problem 2 For a dynamic set S of integers and an index i, we wish to effectively find the position of the first odd number in S written in increasing order. (Suppose the answer is 0, if there are no odd number in S.) For example, the answer is 3 for S= {2, 4, 7, 8, 9} and becomes 4 after deleting 7. || Choosing RB-tree as the underlying data structure, define additional attributes to be stored in the nodes to execute this query in O(1) - time. Justify that the added attributes can be effectively maintained during performing the modifying operations (i.e., RB-insert and RB-delete). Hint: Find similarities to the MIN-GAP problem.
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