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We assume we have N naturals to sort. Determine the correct running time (big-Oh notation) of each of the following four algorithms: Insertion sort, Heapsort,

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We assume we have N naturals to sort. Determine the correct running time (big-Oh notation) of each of the following four algorithms: Insertion sort, Heapsort, Mergesort, Quicksort and Quicksort combined to Insertion Sort (use Quicksort first and then switch to Insertion Sort when the size of the sub arrays is small), in the case of a randomly generated input. Select all that apply: a. Heapsort runs in O(N? log N) O b. Insertion Sort runs in O(log N) O c. Heapsort runs in O(N log N) d. Quicksort runs in O(log N) if the pivot is chosen as the median-of-three partitioning. e. Mergesort runs in O(N? log N)

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