EBK BUILDING JAVA PROGRAMS
EBK BUILDING JAVA PROGRAMS
4th Edition
ISBN: 9780134323718
Author: Stepp
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 13.3, Problem 21SCP

Consider the following sorted array of integers. When a binary search is performed on this array for each of the following integer values, what indexes are examined in order? What result value is returned?

Chapter 13.3, Problem 21SCP, Consider the following sorted array of integers. When a binary search is performed on this array for

  1. a. 42
  2. b. 11
  3. c. 74
  4. d. 30
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Consider the array: 42 88 4 889 972 4561 34 If these items are sorted into descending order by the MSD Radix Sort algoirthm, what is the resulting sequence of items? (enter each number, separated by a comma; do not use any spaces or quotation marks)
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 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.
What is the time complexity for the following code/program?  1.5 A binary search works like this: in a sorted array, the search algorithm compares the target value to the middle element of the array. If they are not equal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value and repeating this until the target value is found. If the search ends with the remaining half being empty, the target is not in the array. What is the complexity of binary search? Why?
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