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Prove or disprove: deleting keys x and y from a BST is commutative. In other words, it does not matter which order the keys are

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Prove or disprove: deleting keys x and y from a BST is commutative. In other words, it does not matter which order the keys are deleted. The final trees will be identical. If true, provide a proof. If false, provide a counterexample. (Hint: consider the binary search tree with nodes inserted in the following order: 1,10,5,2,8,7,9)

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