Answered: 1. Given an array B = {4, 20, 36, 45,…

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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1. Given an array B = {4, 20, 36, 45, 101, 175, 209, 332}, show the steps to search for the value
200 in array B using sequential search, binary search and key-indexed search. Indicate the
number of comparisons performed by each algorithm.

2. Given an array storing integers ordered by value in increasing order, modify the binary search
algorithm to return the position of the first integer with value K assuming K can appear
multiple times in the array. Be sure that your algorithm is (log n), that is, do not use
sequential search once an occurrence of K is found.

3. Given an array storing integers ordered by value in increasing order, modify the binary search
algorithm to return the position of the integer with the greatest value less than K assuming K
does not appear in the array. Return -1 if all values in the array are greater or equal K.

1. Given an array B = {4, 20, 36, 45, 101, 175, 209, 332), show the steps to search for the value
200 in array B using sequential search, binary search and key-indexed search. Indicate the
number of comparisons performed by each algorithm.
Sequential Search
Binary Search
Key-indexed Search
Steps
# of Comparisons
2. Given an array storing integers ordered by value in increasing order, modify the binary search
algorithm to return the position of the first integer with value K assuming K can appear
multiple times in the array. Be sure that your algorithm is 0(log n), that is, do not use
sequential search once an occurrence of K is found.
3. Given an array storing integers ordered by value in increasing order, modify the binary search
algorithm to return the position of the integer with the greatest value less than K assuming K
does not appear in the array. Return -1 if all values in the array are greater or equal K.

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