1127 ZigZagging on a Tree (30 分)稍微复杂一点的层序遍历

根据给定的中序和后序遍历序列构建唯一二叉树,并实现ZigZag层序遍历。题目要求在输出层序遍历时,奇数层从左到右,偶数层从右到左。解决方案是首先根据遍历序列构建树,然后用层次遍历方法收集节点,最后按ZigZag规则输出。

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1127 ZigZagging on a Tree (30 分)

Suppose that all the keys in a binary tree are distinct positive integers. A unique binary tree can be determined by a given pair of postorder and inorder traversal sequences. And it is a simple standard routine to print the numbers in level-order. However, if you think the problem is too simple, then you are too naive. This time you are supposed to print the numbers in "zigzagging order" -- that is, starting from the root, print the numbers level-by-level, alternating between left to right and right to left. For example, for the following tree you must output: 1 11 5 8 17 12 20 15.

zigzag.jpg

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤30), the total number of nodes in the binary tree. T

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