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A sorting technique is called stable if:

Question

A sorting technique is called stable if:

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Solution

A sorting technique is called stable if it maintains the relative order of records with equal keys (i.e., values). In other words, two equivalent elements remain in the same order in the sorted output as they were in the input.

Here's a step-by-step explanation:

  1. Consider an array of elements with some of them having equal keys.
  2. Apply the sorting algorithm to this array.
  3. If the sorting algorithm is stable, the order of elements with equal keys will be the same in the sorted array as they were in the original unsorted array.
  4. If the sorting algorithm is not stable, the order of elements with equal keys can be different in the sorted array compared to the original unsorted array.

For example, let's consider an array of pairs where each pair contains a number and a letter. The number is the key. If we sort this array using a stable sorting algorithm and two pairs have the same key, then the pair that appeared first in the original array will also appear first in the sorted array.

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Similar Questions

A sorting algorithms is considered stable if it Group of answer choices preserves the relative order of any two equal elements in its input preserves the relative order of most two equal elements in its input perform its operations mostly in the same memory used by its input elements can change the relative order of equal elements in its input its worst case efficiency is in O(n log n)

Which of the following is a stable sorting algorithm?Merge sort Typical in-place quick sortHeap sortSelection sort

Given below are a few different types of sorting algorithms. Which of the following can be used if a stable sorting algorithm is required?

Which of the following is not a stable sorting algorithm?Insertion sort Selection sort Bubble sortMerge sort

Which of the given sorting algorithms is not stable?OptionsSelection sortCounting sortInsertion sortBubble sort

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