Sorting Algorithms: Identical Elements

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Questions and Answers

Which sorting algorithm will take least time when all elements of input array are identical? Consider typical implementations of sorting algorithms.

  • insertion sort (correct)
  • heap sort
  • selection sort
  • merge sort

Flashcards

Insertion Sort

A sorting algorithm that works by iterating through the array and placing each element in its correct sorted position compared to the elements before it.

Heap Sort

A sorting algorithm where we build a heap data structure (a complete binary tree) and then repeatedly extract the maximum element from the heap, placing it in the correct position in the sorted array.

Selection Sort

A sorting algorithm that repeatedly finds the minimum element in the unsorted portion of the array and swaps it with the first element of the unsorted portion.

Merge Sort

A sorting algorithm that recursively divides the array into two halves, sorts each half, and then merges the sorted halves back together.

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Already Sorted

When all elements in an array are identical it means the array is already sorted!

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Best Case

The efficiency of a sorting algorithm in the best-case scenario, when the input array is already sorted or nearly sorted.

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Worst Case

The efficiency of an algorithm in the worst-case scenario, when the input array is in the most chaotic or difficult to sort order.

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Average Case

Analyzing the average performance of a sorting algorithm when considering all possible input array permutations.

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Efficient for Already Sorted

An efficient sorting algorithm for an already sorted array. One such algorithm is Insertion Sort.

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Inefficient for Already Sorted

A sorting algorithm that is inefficient in the case of an already sorted list due to unnecessary comparisons.

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Study Notes

Sorting Algorithms and Identical Elements

  • When all elements in an input array are identical, insertion sort performs best.
  • This is because insertion sort typically has optimal performance when the input is already sorted.

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