Consider a tree T storing 100,000 entries. What is the worst-case height of T in the following cases?a. T is a binary search tree.b. T is an AVL tree.c. T is a splay tree.d. T is a (2,4) tree.e. T...
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1. How many different binary search trees can store the keys {1,2,3}?2. Dr. Amongus claims that the order in which a fixed set of entries is inserted into a binary search tree does not matter—the...
1. Draw an example of a red-black tree that is not an AVL tree.2. Give a proof of Proposition 11.93. Give a proof of Proposition 11.10
1. The splay tree does not have good performance for the sorted map operations, because those methods lack calls to the rebalanceAccess hook. Reimplement TreeMap to include such calls.2. Is the...
1. Explain why you would get the same output in an inorder listing of the entries in a binary search tree, T, independent of whether T is maintained to be an AVL tree, splay tree, or red-black...
1. Dr. Amongus claims that the order in which a fixed set of entries is inserted into an AVL tree does not matter—the same AVL tree results every time. Give a small example that proves he is...
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