Assume the postorder of binary tree T is RELATIONDB, the in order of T is REILTABOND,then the preorder of T will be

时间: 2024-06-02 15:10:11 浏览: 104
To determine the preorder of T, we need to first identify the root of the binary tree. In an inorder traversal of a binary tree, the nodes to the left of the root correspond to the left subtree of the root, and the nodes to the right of the root correspond to the right subtree of the root. From the given inorder sequence REILTABOND, we can see that the root of the binary tree T is "L". Next, we need to determine the left and right subtrees of the root. Since the postorder traversal of T is RELATIONDB, we know that the last element "B" is the root of the right subtree of "L". To find the root of the left subtree of "L", we need to look for the last element in the postorder sequence that appears before "B" in the inorder sequence. From the inorder sequence REILTABOND, we can see that the last element before "B" is "T". Therefore, "T" is the root of the left subtree of "L". Now we can construct the preorder traversal of T by starting at the root "L" and recursively traversing the left and right subtrees in preorder. The preorder traversal of T is: - Root: L - Left subtree: T, R, E, I, L, A - Right subtree: B, O, N, D Therefore, the preorder of T is LTRIELABOND.
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