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Chapter 9: Problem 4

The _________ search algorithm requires that the array鈥檚 contents be sorted.

Short Answer

Expert verified
Answer: Binary Search Algorithm

Step by step solution

01

Identify the search algorithm

The search algorithm that requires the array's contents to be sorted is the "Binary Search Algorithm." Now, let's break down the binary search algorithm in a step-by-step manner.
02

Understand the Binary Search Algorithm

Binary search algorithm is an efficient search algorithm that works by repeatedly dividing in half the portion of the array that could contain the target value. At each step, the algorithm compares the middle element of the remaining array to the target value. If the middle element is equal to the target value, then the search is successful. If the middle element is less than the target value, then the algorithm searches the right half of the remaining array. If the middle element is greater than the target value, then the algorithm searches the left half of the remaining array.
03

Initialize the variables

To implement the binary search algorithm, initialize the variables `left`, `right`, and `middle`. Set `left` to 0, and `right` to the length of the array minus 1. The variable `middle` will be calculated at each step of the algorithm.
04

Binary search loop

Create a loop that will continue until the `left` index is greater than the `right` index. Inside the loop, calculate the middle index as the average of the `left` and `right` indices, rounded down. If the middle element of the array is equal to the target value, the search is successful, and the loop should be terminated. If the middle element is less than the target value, set the `left` index to `middle + 1`. If the middle element is greater than the target value, set the `right` index to `middle - 1`.
05

Return the result

After the loop ends, if a match is found, return the index of the middle element. If a match is not found, return -1, indicating that the target value is not in the array. Following these steps, you can successfully implement and understand the binary search algorithm, which requires that the array's contents be sorted.

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Most popular questions from this chapter

The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is ________.

Which sort, bubble sort or selection sort, would require fewer passes to sort a set of data that is already in the desired order?

Assume that empName and empID are two parallel arrays of size numEmp that hold employee data. Write a pseudocode algorithm that sorts the empID array in ascending ID number order (using any sort you wish), such that the two arrays remain parallel. That is, after sorting, for all indexes in the arrays, empName [ index ] must still be the name of the employee whose ID is in empID [ index ].

In a binary search, after three comparisons have been made, only ________ of the array will be left to search.

The _________ search algorithm repeatedly divides the portion of an array being searched in half.
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