Suppose that the Insertion Sort sorting algorithm has a running time of T(n)=8n2, while the Counting Sort algorithm has
Posted: Tue Jul 12, 2022 8:17 am
Suppose that the Insertion Sort sorting algorithm has a running time of T(n)=8n2, while the Counting Sort algorithm has a running time of T(n)=64n. Find the largest positive input size for which Insertion Sort runs at least as fast as Counting Sort. We can express insertion sort as a recursive procedure as follows. In order to sort A[1..n], we recursively sort A[1..n−1] and then insert A[n] into the sorted array A[1..n−1]. Write a recurrence for the running time of this recursive version of insertion sort.