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3. a. What is the largest number of key comparisons made by binary search in searching for a key in the following array? 3 14 27 31 39 42 55 70 74 81 85 93 98 b. List all the keys of this array that will require the largest number of key comparisons when searched for by binary search.

3. a. What is the largest number of key comparisons made by binary search in searching for a key in the following array? 3 14 27 31 39 42 55 70 74 81 85 93 98 b. List all the keys of this array that will require the largest number of key comparisons when searched for by binary search.

Database System Concepts
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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#3 a & b only

2. Design a decrease-by-half algorithm for computing [log2 n] and determine its Outline an algorithm that performs this task with the minimum number of 1. Cutting a stick A stickn inches long needs to be cut into n 1-inch piece cuts if several pieces of the stick can be cut at the same time. Also givea Exercises 4.4- Outline an algorithm that performs this task with the minimum n cuts if several pieces of the stick can be cut at the same time, Alse formula for the minimum number of cuts. time efficiency. 3. a. What is the largest number of key comparisons made by binary search in searching for a key in the following array? SEARUOE 3 14 27 31 39 42 55 70 74 81 85 93 98 b. List all the keys of this array that will require the largest number of key comparisons when searched for by binary search. c. Find the average number of key comparisons made by binary search in a successful search in this array. Assume that each key is searched for wilth the same probability. d. Find the average number of key comparisons made by binary search a unsuccessful search in this array, Assume that searches for keys in eacho
Transcribed Image Text:2. Design a decrease-by-half algorithm for computing [log2 n] and determine its Outline an algorithm that performs this task with the minimum number of 1. Cutting a stick A stickn inches long needs to be cut into n 1-inch piece cuts if several pieces of the stick can be cut at the same time. Also givea Exercises 4.4- Outline an algorithm that performs this task with the minimum n cuts if several pieces of the stick can be cut at the same time, Alse formula for the minimum number of cuts. time efficiency. 3. a. What is the largest number of key comparisons made by binary search in searching for a key in the following array? SEARUOE 3 14 27 31 39 42 55 70 74 81 85 93 98 b. List all the keys of this array that will require the largest number of key comparisons when searched for by binary search. c. Find the average number of key comparisons made by binary search in a successful search in this array. Assume that each key is searched for wilth the same probability. d. Find the average number of key comparisons made by binary search a unsuccessful search in this array, Assume that searches for keys in eacho
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