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5. Define the operations that can be implemented on splay trees, and how they reduce to the splay operation. 20. Professor Smart came up with
5. Define the operations that can be implemented on splay trees, and how they reduce to the splay operation. 20. Professor Smart came up with a yet simpler scheme for balancing BSTs: simplify the splay (x) operation so that it repeatedly executes rotate(x) until x gets to the root. Call this new operation smartsplay (x). With this change, is amortized cost of all operations still O(logn) ? 22. Prove the following statement: Let T be a tree and x,y be two different vertices of T. If (x,y) is not an edge of T then T{(x,y)} contains a cycle
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