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Chapter 8: Problem 13

If an array is sorted in _________ order, the values are stored from highest to lowest.

Short Answer

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Question: Fill in the blank with the correct term for the type of order in which values are stored in an array from highest to lowest: __________ order. Answer: Descending

Step by step solution

01

Fill in the blank

The correct term to fill in the blank is "descending order".
02

Descending order definition

In the context of an array, descending order means that the values are stored from the highest value to the lowest value.
03

How to sort an array in descending order

To sort an array in descending order, you can use various sorting algorithms such as bubble sort, selection sort, or insertion sort, but modify them in a way that sorts the array from highest to lowest instead of lowest to highest. Here's a step-by-step process using the bubble sort algorithm as an example: 1. Compare the first two elements of the array. If the first element is smaller than the second element, swap them. 2. Move to the next pair of elements and do the same comparison and swapping if necessary. 3. Continue this process for all pairs of elements in the array. 4. Once you reach the end of the array, start over from the beginning and repeat the process. 5. Continue this process until no more swaps are needed, which means the array is sorted in descending order. By following this process, you can sort an array in descending order, with values stored from highest to lowest.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Descending Order
When you arrange values from the highest to the lowest, you are sorting in descending order. This means that the largest number or item appears first, followed by increasingly smaller items.
If you think of students lining up by height with the tallest first, that's similar to descending order. In terms of numbers or data in an array, descending order sorts them so the values decrease as you move through the list.
This is the opposite of ascending order, where you start with the smallest and go to the largest. Descending order is particularly useful when you want to prioritize or highlight the largest values, like top scores in a game.
  • Largest value comes first.
  • Smallest value comes last.
  • Opposite of ascending order.
Bubble Sort
Bubble Sort is a straightforward sorting algorithm, popular for its simplicity. It works by repeatedly stepping through the list to be sorted, comparing each pair of adjacent items and swapping them if they are in the wrong order.
This method "bubbles" the largest unsorted element to its correct position at the end of the array with each pass. If the list is sorted in ascending order by default, to switch it to descending, simply swap elements when the first element is smaller.
Although bubble sort is easy to understand and implement, it is not the most efficient algorithm for large lists. Its time complexity is \(O(n^2)\), meaning the time it takes to sort grows quadratically with the size of the list.
  • Simple and intuitive method.
  • Good for small datasets.
  • Can be inefficient for larger lists.
Array Sorting
Array sorting is all about arranging the data within an array in a particular order, either ascending or descending. Sorting an array can be tremendously helpful for organizing data, enhancing search abilities, and making the data more interpretable.
There are many ways to sort an array, including algorithms like bubble sort, insertion sort, and quicksort. Each method has its advantages and disadvantages, and the choice depends on factors such as the size of the array or whether you need an efficient solution.
When sorting an array in descending order, the approach will mainly determine how you adjust the comparison within the algorithm to suit this order. Remember:
  • Sorting improves search and organization.
  • Choose the method based on needs and size.
  • Descending or ascending, adjust algorithms accordingly.

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Most popular questions from this chapter

Why is the linear search also called 鈥渟equential search鈥�?

The _________ search algorithm steps sequentially through an array, comparing each item with the search value.

Why is the selection sort more efficient than the bubble sort on large arrays?

T F The average number of comparisons performed by the linear search on an array of N elements is N/2 (assuming the search values are consistently found).

T F If data are sorted in ascending order, it means they are ordered from lowest value to highest value.
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