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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

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 counter-example. You may draw pictures if need

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