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(2) We can sort a given set of n numbers by first building a binary search tree containing these numbers (using Insert repeatedly to insert
(2) We can sort a given set of n numbers by first building a binary search tree containing these numbers (using Insert repeatedly to insert the numbers one by one) and then printing the numbers by an inorder tree walk. (a) What are the worst-case and best-case running times for this sorting algorithm if we use an ordinary binary search tree? Justify your answer. (b) Suppose that, instead of an ordinary binary search tree, we use a red-back tree. What are the worst-case and best-case running times for this sorting algorithm? Justify your
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