Advantage of fast running time of insertion sort

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Reference no: EM1347803

Q1) Running time of quicksort can be enhanced in practice by taking advantage of fast running time of insertion sort when its input is "nearly" sorted. When quicksort is called on a subarray with fewer than k elements, let it simply return without sorting the subarray. After the top-level call to quicksort returns, run insertion sort on the entire array to finish the sorting process. Argue that this sorting algorithm runs in O(nk + n lg(n/k)) expected time. How should k be picked, both in theory and in practice?

Reference no: EM1347803

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