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Chapter 9: Problem 12

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

Short Answer

Expert verified
Answer: Descending order

Step by step solution

01

Introduction to Sorting Orders

There are two common sorting orders for arrays: ascending and descending order. Ascending order means the values are arranged from lowest to highest, while descending order means the values are arranged from highest to lowest.
02

Answer

If an array is sorted in descending order, the values are 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 we talk about sorting an array in descending order, we mean organizing the elements from the largest to the smallest. For example, if you have the numbers 5, 3, 8, 1, and 6, and you sort them in descending order, the order becomes 8, 6, 5, 3, and 1. This method is particularly useful when you want to highlight the biggest values or look at the top-ranking items in a dataset.
Descending order is commonly found in scenarios where ranking and priority are important, such as competition scores, highest to lowest values, or countdowns.
  • Treat this arrangement like a slide, where each step takes you lower.
  • Remember the word "descending" hints at "decreasing" values.
Ascending Order
Ascending order is the opposite of descending order. Here, you arrange the data from the smallest to the largest. Take the same numbers: 5, 3, 8, 1, and 6. When organized in ascending order, they become 1, 3, 5, 6, and 8. This is a natural way to sort things when you need to see the lowest values first, like budget constraints or series of progress. Keeping data in ascending order has many uses:
  • It's the format often used to understand growth, starting from zero upwards.
  • Dates in timelines are typically in ascending order.
Think of it as climbing a hill where each step takes you higher.
Sorting Algorithms
Sorting algorithms are special step-by-step methods that arrange the elements in an array into a specified order, like ascending or descending. There are many ways to sort arrays, each with strengths and weaknesses. Some common sorting algorithms include:
  • Bubble Sort: This simple algorithm works by repeatedly swapping adjacent elements if they are in the wrong order, making larger elements "bubble" to the top.
  • Quick Sort: It's faster and uses a "divide and conquer" approach to partition the array into two halves, sorting each independently.
  • Merge Sort: This efficient, stable algorithm divides the array into halves, sorts them, and then merges them back together.
Choosing the right sorting algorithm depends on factors like the size of the array and how quickly you need the sorting to be performed. Sort algorithms are foundational for efficient data handling and processing in computer science and practical applications.

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Most popular questions from this chapter

The average number of comparisons performed by linear search to find an item in an array of \(\mathrm{N}\) elements is ___________.

The maximum number of comparisons performed by linear search to find an item in an array of N elements is ___________.

A linear search will find the value it is looking for with just one comparison if that value is stored in the ___________ array element.

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

Why is selection sort more efficient than bubble sort on large arrays?
See all solutions

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