Please assist with the following question. Your assistance is truly appreciated. 3. Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A,the keys to the left of the search path; B, the keys on the search path; and C, the keys to the rightof the search path. Give a counterexample to the claim that any three keys a € A, b € B, and c € Cmust satisfy a ≤ b ≤c.

Answered: 3. Suppose that the search for key k in…

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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Please assist with the following question. Your assistance is truly appreciated.

3. Suppose that the search for key k in a binary search tree ends in a leaf. Consider three sets: A,
the keys to the left of the search path; B, the keys on the search path; and C, the keys to the right
of the search path. Give a counterexample to the claim that any three keys a € A, b € B, and c € C
must satisfy a ≤ b ≤c.

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Step 1

The theory's only shortcoming, which may be seen on small examples, is that the items to the left of the path can differ in size from those in the middle. The node from the left group is larger than the root node from the path group, as can be seen in the illustration.

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