Given a sorted list L of n numbers in non- decreasing order and also a number x, the search problem is to determine whether x is in L or not. Use the decision tree method to prove that any comparison-based algorithm needs to perform at least Llog2nJ comparisons for solving the search problem.

Given a sorted list L of n numbers in non- decreasing order and also a number x, the search problem is to determine whether x is in L or not. Use the decision tree method to prove that any comparison-based algorithm needs to perform at least Llog2nJ comparisons for solving the search 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

Problem 1PE

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Question

Given a sorted list L of n numbers in non-
decreasing order and also a number x,
the search problem is to determine
whether x is in L or not. Use the decision
tree method to prove that any
comparison-based algorithm needs to
perform at least Llog2n] comparisons for
solving the search problem.

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