1. Draw four different red-black trees that correspond to the same (2,4) tree.2. Consider the set of keys K = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}.a. Draw a (2,4) tree storing K as its keys using...
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Consider the sequence of keys (5,16,22,45,2,10,18,30,50,12,1). Draw the result of inserting entries with these keys (in the given order) intoa. An initially empty (2,4) tree. b. An initially empty...
For the following statements about red-black trees, provide a justification for each true statement and a counterexample for each false one.a. A subtree of a red-black tree is itself a red-black...
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...
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
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