Question: Suppose that a binary search tree T has n nodes and all the values are distinct. You are given its preorder traversal sequence, which uniquely

Suppose that a binary search tree T has n nodes and all the values are distinct. You are given its preorder traversal sequence, which uniquely determine the structure of the tree T. Give a polynomial time algorithm to find the postorder traversal sequence of T. For example, if the preorder traversal sequence of T is:

8 3 1 5 4 15 10 16

Then the postorder traverse sequence should be:

1 4 5 3 10 16 15 8

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