[hihoCoder] 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 }