LeetCode OJ 题目: 解题思路: 代码:

Given inorder and postorder traversal of a tree, construct the binary tree.

Note:
You may assume that duplicates do not exist in the tree.

解题思路:

后序遍历的最后一个元素肯定为根节点;然后在中序遍历的序列中找到该根节点,将中序遍历序列分为左右两部分,对其分别进行递归求解。

代码:

 1 /**
 2  * Definition for binary tree
 3  * struct TreeNode {
 4  *     int val;
 5  *     TreeNode *left;
 6  *     TreeNode *right;
 7  *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 8  * };
 9  */
10 class Solution {
11 public:
12     int findIndex(int target, vector<int> &inorder, int begin, int end) {
13         for (int i = begin; i <= end; i++) {
14             if (inorder[i] == target) {
15                 return i;
16             }
17         }
18         return -1;
19     }
20     TreeNode *buildTreeCore(vector<int> &inorder, int in_begin, int in_end, vector<int> &postorder, int post_begin, int post_end) {
21         if (post_begin > post_end || in_begin > in_end) return NULL;
22         
23         TreeNode *root = new TreeNode(postorder[post_end]);
24         if (post_begin == post_end) {
25             return root;
26         } else {
27             int index = findIndex(postorder[post_end], inorder, in_begin, in_end);
28             int left_nodes = index - in_begin;
29             TreeNode *left_root = buildTreeCore(inorder, in_begin, index - 1, postorder, post_begin, post_begin + left_nodes - 1);
30             TreeNode *right_root = buildTreeCore(inorder, index + 1, in_end, postorder, post_begin + left_nodes, post_end - 1);
31             root->left = left_root;
32             root->right = right_root;
33             return root;
34         }
35     }
36     TreeNode *buildTree(vector<int> &inorder, vector<int> &postorder) {
37         TreeNode *root = buildTreeCore(inorder, 0, inorder.size() - 1, postorder, 0, postorder.size() - 1);
38         return root;
39     }
40 };