1.Suppose that we first insert an element x into a binary search tree that does not already contain x. Suppose that we then immediately delete x from the tree. Will the new tree be identical to the original one? If yes, please justify your answers with no more that 3 sentences. If no, please give a counterexample. You may draw pictures if need
1.Suppose that we first insert an element x into a binary search tree that does not already contain x. Suppose that we then immediately delete x from the tree. Will the new tree be identical to the original one? If yes, please justify your answers with no more that 3 sentences. If no, please give a counterexample. You may draw pictures if need
2. Draw pictures to show how to construct a red-black tree by inserting the keys in the following sequence into an initially empty red-black tree: 8, 4,10, 9, 5, 17. Show each steps. Please use a double edge indicates a red pointer and single edge indicates a black pointer.
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1.
No, the new tree will not be identical to the original one. When we insert an element into a binary search tree, it rearranges the tree structure to maintain the properties of a binary search tree. When we delete the element x, the tree rearranges itself again to maintain the properties. Hence, the tree after deletion will be different from the original tree.
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