1. 由中序和后续构造二叉树
![image.png](/uploads/projects/colababa_hardwork@qdui7t/7f6bbe588c281a4f9ad745d109d3b9f8.png)
![image.png](/uploads/projects/colababa_hardwork@qdui7t/7c6e0f218f15aa1d1de0258e5f939459.png)
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
int pos; // 后序遍历,根节点index
unordered_map<int, int> mp; // 中序遍历, val->index
TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {
pos = (int)postorder.size() - 1;
for (int i = 0; i < inorder.size(); i++) {
mp[inorder[i]] = i;
}
return dfs(0, pos, postorder);
}
// left, right 是中序的index
TreeNode* dfs(int left, int right, vector<int>& postorder) {
if (left > right) {
return nullptr;
}
int rootVal = postorder[pos];
TreeNode* root = new TreeNode(rootVal);
int inIndex = mp[rootVal]; // 根节点在中序的位置
pos--;
root->right = dfs(inIndex + 1, right, postorder);
root->left = dfs(left, inIndex - 1, postorder);
return root;
}
};