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# 106. Construct Binary Tree from Inorder and Postorder Traversal

## 1.問題&#x20;

![](/files/-LOSZUzhfTMAVimGMjbN)

## 2.想法 <a href="#id-2-xiang-fa" id="id-2-xiang-fa"></a>

* 提問
  * 確認題意:  root是NULL是true或false?
* function header, parameter
* r input
* 說明想法
  * 想法與105題相同, 由於postorder序列建構tree, 必須由序列的最後往前
* 測試計算複雜度

## **3.程式碼** <a href="#id-3-cheng-shi" id="id-3-cheng-shi"></a>

```
/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {
        int pos = postorder.size() - 1;
        return buildBinary(inorder, postorder, 0, postorder.size() - 1, pos);
    }
private:
    TreeNode* buildBinary(vector<int>& inorder, vector<int>& postorder, int left, int right, int& pos) {
        if (pos < 0 || left > right) {
            return NULL;
        }
        int i = 0;
        for (i = left; i <= right; i++) {
            if (inorder[i] == postorder[pos]){
                break;
            }
        }
        TreeNode* node = new TreeNode(postorder[pos]);
        pos--;
        node->right = buildBinary(inorder, postorder, i + 1, right, pos);
        node->left = buildBinary(inorder, postorder, left, i - 1, pos);
        
        return node;
    }
};
```
