[LeetCode] Binary Tree Level Order Traversal II 二叉树层序遍历之二

时间:2022-12-29 22:33:28
[LeetCode] Binary Tree Level Order Traversal II 二叉树层序遍历之二

Given a binary tree, return the bottom-up level order traversal of its nodes' values. (ie, from left to right, level by level from leaf to root).

For example:
Given binary tree {3,9,20,#,#,15,7},

    3
/ \
9 20
/ \
15 7

return its bottom-up level order traversal as:

[
[15,7],
[9,20],
[3]
]

从底部层序遍历其实还是从顶部开始遍历,只不过最后存储的方式有所改变,可以参见我之前的博文 Binary Tree Level Order Traversal, 代码如下:

解法一:

class Solution {
public:
vector<vector<int> > levelOrderBottom(TreeNode* root) {
if (!root) return {};
vector<vector<int>> res;
queue<TreeNode*> q{{root}};
while (!q.empty()) {
vector<int> oneLevel;
for (int i = q.size(); i > ; --i) {
TreeNode *t = q.front(); q.pop();
oneLevel.push_back(t->val);
if (t->left) q.push(t->left);
if (t->right) q.push(t->right);
}
res.insert(res.begin(), oneLevel);
}
return res;
}
};

下面我们来看递归的解法,由于递归的特性,我们会一直深度优先去处理左子结点,那么势必会穿越不同的层,所以当要加入某个结点的时候,我们必须要知道当前的深度,所以使用一个变量level来标记当前的深度,初始化带入0,表示根结点所在的深度。由于需要返回的是一个二维数组res,开始时我们又不知道二叉树的深度,不知道有多少层,所以无法实现申请好二维数组的大小,只有在遍历的过程中不断的增加。那么我们什么时候该申请新的一层了呢,当level等于二维数组的大小的时候,为啥是等于呢,不是说要超过当前的深度么,这是因为level是从0开始的,就好比一个长度为n的数组A,你访问A[n]是会出错的,当level等于数组的长度时,就已经需要新申请一层了,我们新建一个空层,继续往里面加数字,参见代码如下:

解法二:

class Solution {
public:
vector<vector<int>> levelOrderBottom(TreeNode* root) {
vector<vector<int>> res;
levelorder(root, , res);
return vector<vector<int>> (res.rbegin(), res.rend());
}
void levelorder(TreeNode* node, int level, vector<vector<int>>& res) {
if (!node) return;
if (res.size() == level) res.push_back({});
res[level].push_back(node->val);
if (node->left) levelorder(node->left, level + , res);
if (node->right) levelorder(node->right, level + , res);
}
};

类似题目:

Average of Levels in Binary Tree

Binary Tree Zigzag Level Order Traversal

Binary Tree Level Order Traversal

类似题目:

https://leetcode.com/problems/binary-tree-level-order-traversal-ii/

https://leetcode.com/problems/binary-tree-level-order-traversal-ii/discuss/35089/Java-Solution.-Using-Queue

https://leetcode.com/problems/binary-tree-level-order-traversal-ii/discuss/34981/My-DFS-and-BFS-java-solution

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