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By understanding the time and space complexities of sorting algorithms, you will better understand how a particular algorithm will scale with increased data to sort.

* Bubble sort is O(N2). The number of Ops should come out <= 512 * 512 = 262144 * Quicksort is O(2N log N) on the average but can degenerate to (N2)/2 in the worst case (try the ordered data set on quicksort). Quicksort is recursive and needs a lot of stack space. * Shell sort (named for Mr. Shell) is less than O(N4/3) for this implementation. Shell sort is iterative and doesn't require much extra memory. * Merge sort is O( N log N) for all data sets, so while it is slower than the best case for quicksort, it doesn't have degenerate cases. It needs additional storage equal to the size of the input array and it is recursive so it needs stack space. * Heap sort is guaranteed to be O(N log N), doesn't degenerate like quicksort and doesn't use extra memory like mergesort, but its implementation has more operations so on average its not as good as quicksort.

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14y ago
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14y ago

bubble sot,selection sort and insertion sort have avg complexity of O(n^2)...
merge sort and heap have complexity O(nlog n)....and quick sort has O(n log n ) for avg case ...its worst case complexity is O(n^2)..

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12y ago

What do you understand by Complexity of Sorting Algorithms?

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