Question: (a) Draw a binary tree with 10 nodes labeled 0,1,...,9 in such a way that the inorder and postorder traversals of the tree yield the

 (a) Draw a binary tree with 10 nodes labeled 0,1,...,9 in

(a) Draw a binary tree with 10 nodes labeled 0,1,...,9 in such a way that the inorder and postorder traversals of the tree yield the following lists: 1,5,4,0,9,3, 2,7,6,8 (inorder) and 1,4,0,9,5,6,8, 7,2,3 (postorder). (b) Give an example of two permutations of the same n labels 0,1,...,n -1 that cannot be inorder and postorder traversal lists of the same binary tree

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