Consider a sorting algorithm that combines merge sort and insertion sort algorithm. We still use divide...

Consider a sorting algorithm that combines merge sort and insertion sort algorithm. We still use divide and conquer like merge sort, however when the number of elements in an array is at most k elements (k is a parameter), we stop dividing the elements as the regular merge sort, instead, we call the insertion sort. Assuming we have defined the following two procedures:

insertion-sort(A[p..q]) which sort the subarray A[p..q]

merge(A[p,q,r]) which merges the sorted subarray A[p..r] and A[r+1..q]

Try to write the pseudo code for this algorithm: given array A[p..q] and a parameter k as mentioned above

merge-insert(A[p..q], k)

For an input array of size n, how many times will the insertion be called by the modified merge? In the worst case, what is the total time for these insertion sort?

What is the running time of merge-insert in the worst case? Justify your answer?

Expert Solution

at the end of for loop for combining the array usiing merge sort then we will get a sorted array x

venereology answered 7 months ago

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