Question: 4. Design a divide-and-conquer algorithm for computing the number of levels in a binary tree. In particular, your algorithm must return 0 and 1 for
4. Design a divide-and-conquer algorithm for computing the number of levels in a binary tree. In particular, your algorithm must return 0 and 1 for the empty and single-node trees, respectively. What is the time efficiency class of your algorithm?
5. Design an algorithm that constructs a binary tree for which two given lists of n labels 0, 1, ..., n - 1 are generated by the inorder and postorder traversals of the tree. Your algorithm should also identify inputs for which the problem has no solution.
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