[LeetCode] 145. 二叉树的后序遍历

,

给你一棵二叉树的根节点root,返回其节点值的后序遍历 

示例 1:

输入:root = [1,null,2,3]

输出:[3,2,1]

解释:

示例 2:

输入:root = [1,2,3,4,5,null,8,null,null,6,7,9]

输出:[4,6,7,5,2,9,8,3,1]

解释:

示例 3:

输入:root = []

输出:[]

示例 4:

输入:root = [1]

输出:[1]

提示:

  • 树中节点的数目在范围 [0, 100] 内
  • -100 <= Node.val <= 100

进阶:递归算法很简单,你可以通过迭代算法完成吗?

思路:

输出顺序为:左节点->右节点->根节点,用一个指针记录下上一个访问的节点,判断是否已访问过右子树

AC代码:

/**
 * 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:
    vector<int> postorderTraversal(TreeNode* root) {
        std::vector<int> result;
        if (root == nullptr) return result;
        
        std::stack<TreeNode*> nodeStack;
        TreeNode* current = root;
        TreeNode* lastVisited = nullptr;
        
        while (!nodeStack.empty() || current != nullptr) {
            while (current != nullptr) {
                nodeStack.push(current);
                current = current->left;
            }
            TreeNode* node = nodeStack.top();
            
            if (node->right != nullptr && node->right != lastVisited) {
                current = node->right;
            } 
            else 
            {
                result.push_back(node->val);
                lastVisited = node;
                nodeStack.pop();
            }
        }
        
        return result;
    }
};Code language: PHP (php)