Deriving Binary tree from postorder or preorder listing?

You can't derive an inorder listing from a postorder listing because postorder listing does not provide enough information about the shape of the tree. You need two listings (e.g. Postorder and preorder) in order to uniquely reconstruct the tree A simple counterexample: postorder listing : A B C This can be one of two trees C | C B / \ | A B A but the inorder listings for these two trees are A B C and A C B.

You can't derive an inorder listing from a postorder listing because postorder listing does not provide enough information about the shape of the tree. You need two listings (e.g. Postorder and preorder) in order to uniquely reconstruct the tree. A simple counterexample: postorder listing : A B C This can be one of two trees C | C B / \ | A B A but the inorder listings for these two trees are A B C and A C B.

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