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 58 61 64 69 73 77 80 85 89 93 98b. List all the keys of this array that will require the largest number of key comparisonswhen 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 with the same probability.d. Find the average number of key comparisons made by binary search in an unsuccessful search in this array. Assume that searches for keys in each of the 19 intervals formed by the array’s elements are equally likely. 2) a. What is the largest number of key comparisons made by binary search in searching for akey in the following array?| 314 27 31 39 | 42 | 55 | 58 | 61 | 64 | 69 | 73 | 77 | 80 | 85 | 89 | 93 | 98b. List all the keys of this array that will require the largest number of key comparisonswhen searched for by binary search.c. Find the average number of key comparisons made by binary search in a successful searchin this array. Assume that each key is searched for with the same probability.d. Find the average number of key comparisons made by binary search in an unsuccessfulsearch in this array. Assume that searches for keys in each of the 19 intervals formed by thearray's elements are equally likely.

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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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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 58 61 64 69 73 77 80 85 89 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 with the same probability.
d. Find the average number of key comparisons made by binary search in an unsuccessful
search in this array. Assume that searches for keys in each of the 19 intervals formed by the
array’s elements are equally likely.

2) 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 | 58 | 61 | 64 | 69 | 73 | 77 | 80 | 85 | 89 | 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 with the same probability.
d. Find the average number of key comparisons made by binary search in an unsuccessful
search in this array. Assume that searches for keys in each of the 19 intervals formed by the
array's elements are equally likely.

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