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Problem 4. (60 POINTS) For this problem input size is specified separately for each case and thus Row-1, Column-1 indicates a problem size of

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Problem 4. (60 POINTS) For this problem input size is specified separately for each case and thus Row-1, Column-1 indicates a problem size of n keys. Graphs have n vertices and m edges and represented using an adjacency matrix. Find the worst- case running time of every (efficient) algorithm in Column-1 by using the time bounds in Column-2; use only class-introduced algorithms. If multiple answers are possible, use the asymptotically tightest bound. The same answer in Column-2 can be reused. Row 7 is filled for you: you should fill the remaining rows. If you see Ig'n, it means (Ig n)'. Column-1 1: HeapSort of keys 2: QuickSort of n keys 3: Binary Search on ' sorted keys 4: InsertionSort on n lg n sorted keys 5: LinearSearch on n lg n keys Answer Column-2 A. O(lg n) B. O(n) C. O(n) D. O(n lg n) E. O(n) 6: Find the indegree of vertex u F. O(n lg n) 7: MergeSort of n keys D G. O(n lg n) H. O(n)

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