[hihoCoder] 后序遍历

构建二叉树后的序遍历
本文介绍了一种不需要从头构建二叉树的方法,而是通过递归地获取其后序遍历结果来解决问题。文章提供了一个具体的C++实现案例,展示了如何利用前序和中序遍历构造后序遍历。

The key of this problem is that we need not build the tree from scratch. In fact, we can direct obtain its post-order traversal results in a recursive manner and the problem has given nice hints on this.

The code is as follows.

 1 #include <iostream>
 2 #include <string>
 3 
 4 using namespace std;
 5 
 6 string post_order(string pre_order, string in_order) {
 7     if (pre_order.empty() && in_order.empty())
 8         return "";
 9     if (pre_order.length() == 1 && in_order.length() == 1)
10         return pre_order;
11     string root = pre_order.substr(0, 1);
12     int rootInOrder = 0;
13     while (in_order[rootInOrder] != pre_order[0])
14         rootInOrder++;
15     string pl = pre_order.substr(1, rootInOrder);
16     string pr = pre_order.substr(1 + pl.length(), pre_order.length() - pl.length() - 1);
17     string il = in_order.substr(0, rootInOrder);
18     string ir = in_order.substr(rootInOrder + 1, in_order.length() - il.length() - 1);
19     return post_order(pl, il) + post_order(pr, ir) + root;
20 }
21 
22 int main(void) {
23     string pre_order, in_order;
24     while (cin >> pre_order >> in_order)
25         cout << post_order(pre_order, in_order);
26     return 0;
27 }

转载于:https://www.cnblogs.com/jcliBlogger/p/4558682.html

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