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Consider a situation where swap operation is very costly. Which of the following sorting algorithms should be preferred so that the number of swap operations are minimized in general?
- a)Heap Sort
- b)Selection Sort
- c)Insertion Sort
- d)Merge Sort
Correct answer is option 'B'. Can you explain this answer?
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Consider a situation where swap operation is very costly. Which of the...
Selection sort makes O(n) swaps which is minimum among all sorting algorithms mentioned above.
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Consider a situation where swap operation is very costly. Which of the...
Selection Sort
Selection Sort is the preferred sorting algorithm when swap operations are very costly because it minimizes the number of swaps required. Here's why:
How Selection Sort works:
- Selection Sort works by repeatedly finding the minimum element from the unsorted part of the array and placing it at the beginning.
- It divides the array into two parts: sorted and unsorted. Initially, the sorted part is empty, and the unsorted part contains the entire array.
- In each iteration, it finds the minimum element from the unsorted part and swaps it with the first element of the unsorted part.
Minimizing swap operations:
- Selection Sort minimizes the number of swap operations because it performs a swap only when it finds the minimum element.
- It does not swap elements multiple times within the same iteration, unlike other sorting algorithms like Insertion Sort or Bubble Sort.
- Since swap operations are costly, Selection Sort can be more efficient in terms of reducing the total number of swaps required.
Comparison with other sorting algorithms:
- Heap Sort, Merge Sort, and Quick Sort are not as efficient in minimizing swap operations because they involve frequent swapping of elements to maintain the heap property or merge partitions.
- Insertion Sort, while also reducing the number of swaps compared to other algorithms, still requires more swaps than Selection Sort in general.
Conclusion:
- In scenarios where swap operations are costly, Selection Sort should be preferred over other sorting algorithms to minimize the total number of swaps and improve efficiency.
Selection Sort is the preferred sorting algorithm when swap operations are very costly because it minimizes the number of swaps required. Here's why:
How Selection Sort works:
- Selection Sort works by repeatedly finding the minimum element from the unsorted part of the array and placing it at the beginning.
- It divides the array into two parts: sorted and unsorted. Initially, the sorted part is empty, and the unsorted part contains the entire array.
- In each iteration, it finds the minimum element from the unsorted part and swaps it with the first element of the unsorted part.
Minimizing swap operations:
- Selection Sort minimizes the number of swap operations because it performs a swap only when it finds the minimum element.
- It does not swap elements multiple times within the same iteration, unlike other sorting algorithms like Insertion Sort or Bubble Sort.
- Since swap operations are costly, Selection Sort can be more efficient in terms of reducing the total number of swaps required.
Comparison with other sorting algorithms:
- Heap Sort, Merge Sort, and Quick Sort are not as efficient in minimizing swap operations because they involve frequent swapping of elements to maintain the heap property or merge partitions.
- Insertion Sort, while also reducing the number of swaps compared to other algorithms, still requires more swaps than Selection Sort in general.
Conclusion:
- In scenarios where swap operations are costly, Selection Sort should be preferred over other sorting algorithms to minimize the total number of swaps and improve efficiency.
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Consider a situation where swap operation is very costly. Which of the following sorting algorithms should be preferred so that the number of swap operations are minimized in general?a)Heap Sortb)Selection Sortc)Insertion Sortd)Merge SortCorrect answer is option 'B'. Can you explain this answer?
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