Answered! Suppose you have a balanced tree implementation in which Insert(x, T), Delete(x, T), Successor(x, T), and…

Problem 3 Suppose you have a balanced tree implementation in which Insert (x,T) Delete (x,T), Successor (x,T), and Predecessor (x,T) all take O(log n time. Describe how you would change the implementation and/or data structure so that Successor and Predecessor run in ime and Insert and Delete remain O(logn) time. Be sure to clearly explain how each of the operations change

Suppose you have a balanced tree implementation in which Insert(x, T), Delete(x, T), Successor(x, T), and Predecessor(x, T) all take O(log n)-time. Describe how you would change the implementation and/or data structure so that Successor and Predecessor run in 0(l)-time and Insert and Delete remain 0(log n)-time. Be sure to clearly explain how each of the operations change.

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