14. (5 Points) Suppose that we have a binary search tree and we insert a node...

   

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14. (5 Points) Suppose that we have a binary search tree and we insert a node with the value x into the binary search tree that does not already contain the value of x. If we then immediate delete x from the tree after the insertion, will the tree be identical to the original one? Please justify your answer to obtain the credits. If you answer no, please give a counter example. Draw the tree help the justification if necessary. [ANSWER] 14. (5 Points) Suppose that we have a binary search tree and we insert a node with the value x into the binary search tree that does not already contain the value of x. If we then immediate delete x from the tree after the insertion, will the tree be identical to the original one? Please justify your answer to obtain the credits. If you answer no, please give a counter example. Draw the tree help the justification if necessary. [ANSWER]