From ed5978b2835fbaa6f6dbc5d324632e400d8191a7 Mon Sep 17 00:00:00 2001 From: youngyangyang04 <826123027@qq.com> Date: Tue, 11 Aug 2020 09:14:14 +0800 Subject: [PATCH] Update --- README.md | 22 ++++++- problems/0015.三数之和.md | 13 ++++- problems/0102.二叉树的层序遍历.md | 2 +- problems/0104.二叉树的最大深度.md | 55 +++++++++++++++++- problems/0111.二叉树的最小深度.md | 17 +++--- .../0222.完全二叉树的节点个数.md | 12 +++- problems/0383.赎金信.md | 15 +++-- video/15.三数之和.mp4 | Bin 0 -> 725719 bytes 8 files changed, 116 insertions(+), 20 deletions(-) create mode 100644 video/15.三数之和.mp4 diff --git a/README.md b/README.md index aaa0efbb..5a127029 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # 算法面试思维导图: -![算法面试知识大纲](https://img-blog.csdnimg.cn/2020073016244490.png) +![算法面试知识大纲](https://img-blog.csdnimg.cn/20200810145343521.png) # 算法文章精选: @@ -125,6 +125,17 @@ void kmp(int* next, const string& s){ ## 二叉树 +二叉树的定义: + +``` +struct TreeNode { + int val; + TreeNode *left; + TreeNode *right; + TreeNode(int x) : val(x), left(NULL), right(NULL) {} +}; +``` + ### 深度优先遍历(递归) 前序遍历(中左右) @@ -261,6 +272,15 @@ vector> levelOrder(TreeNode* root) { ``` +可以直接解决如下题目: + +* [0102.二叉树的层序遍历](https://github.com/youngyangyang04/leetcode/blob/master/problems/0102.二叉树的层序遍历.md) +* [0199.二叉树的右视图](https://github.com/youngyangyang04/leetcode/blob/master/problems/0199.二叉树的右视图.md) +* [0104.二叉树的最大深度 (迭代法的版本)](https://github.com/youngyangyang04/leetcode/blob/master/problems/0104.二叉树的最大深度.md) + +* 0111.二叉树的最小深度(迭代法的版本) +* 0222.完全二叉树的节点个数(迭代法的版本) + ### 二叉树深度 ``` diff --git a/problems/0015.三数之和.md b/problems/0015.三数之和.md index 41e8e1d3..66265413 100644 --- a/problems/0015.三数之和.md +++ b/problems/0015.三数之和.md @@ -5,13 +5,22 @@ https://leetcode-cn.com/problems/3sum/ ### 哈希解法 -去重的过程不好处理,有很多小细节,如果在面试中很难想到位 + +两层for循环就可以确定 a 和b 的数值了,可以使用哈希法来确定 0-(a+b) 是否在 数组里出现过,其实这个思路是正确的,但是我们有一个非常棘手的问题,就是题目中说的不可以包含重复的三元组。 + +把符合条件的三元组放进vector中,然后在去去重,这样是非常费时的,很容易超时,也是这道题目通过率如此之低的根源所在。 + +去重的过程不好处理,有很多小细节,如果在面试中很难想到位。 时间复杂度:O(n^2),但是运行时间很长,不好做剪枝操作 ### 双指针 -推荐使用这个方法,排序后用双指针前后操作,比较容易达到去重的目的,但也有一些细节需要注意,我在如下代码详细注释了需要注意的点 +推荐使用这个方法,排序后用双指针前后操作,比较容易达到去重的目的,但也有一些细节需要注意,我在如下代码详细注释了需要注意的点。 + +动画效果如下: + + 时间复杂度:O(n^2) diff --git a/problems/0102.二叉树的层序遍历.md b/problems/0102.二叉树的层序遍历.md index 5a001923..61153e09 100644 --- a/problems/0102.二叉树的层序遍历.md +++ b/problems/0102.二叉树的层序遍历.md @@ -7,7 +7,7 @@ https://leetcode-cn.com/problems/binary-tree-level-order-traversal/ 层序遍历一个二叉树。就是从左到右一层一层的去遍历二叉树。这种遍历的方式和我们之前讲过的都不太一样。 -需要借用一个辅助数据结构队列来实现,**队列先进后出,符合一层一层遍历的逻辑,而是用栈先进先出适合模拟深度优先遍历也就是递归的逻辑。** +需要借用一个辅助数据结构队列来实现,**队列先进先出,符合一层一层遍历的逻辑,而是用栈先进后出适合模拟深度优先遍历也就是递归的逻辑。** 使用队列实现广度优先遍历,动画如下: diff --git a/problems/0104.二叉树的最大深度.md b/problems/0104.二叉树的最大深度.md index 528441c3..79520771 100644 --- a/problems/0104.二叉树的最大深度.md +++ b/problems/0104.二叉树的最大深度.md @@ -3,6 +3,59 @@ https://leetcode-cn.com/problems/maximum-depth-of-binary-tree/ ## 思路 +### 递归法 +按照递归三部曲,来看看如何来写。 + +1. 确定递归函数的参数和返回值:参数就是传入树的根节点,返回就返回这棵树的深度,所以返回值为int类型。 + +代码如下: +``` +int getDepth(TreeNode* node) +``` +2. 确定终止条件:如果为空节点的话,就返回0,表示高度为0。 + +代码如下: +``` +if (node == NULL) return 0; +``` + +3. 确定单层递归的逻辑:先求它的左子树的深度,再求的右子树的深度,最后去左右深度最大的数值+1 就是目前节点为根节点的树的深度。 + +代码如下: + +``` +int leftDepth = getDepth(node->left); +int rightDepth = getDepth(node->right); +int depth = 1 + max(leftDepth, rightDepth); +return depth; +``` + +所以整体代码如下: + +``` +class Solution { +public: + int getDepth(TreeNode* node) { + if (node == NULL) return 0; + return 1 + max(getDepth(node->left), getDepth(node->right)); + } + int maxDepth(TreeNode* root) { + return getDepth(root); + } +}; +``` + +### 迭代法 + +在二叉树中,一层一层的来遍历二叉树,记录一下遍历的层数就是二叉树的深度,如图所示: + +![层序遍历](https://img-blog.csdnimg.cn/20200810193056585.png) + +所以这道题依然是一道模板题,依然可以使用二叉树层序遍历的模板来解决的。 + +我总结的算法模板会放到这里[leetcode刷题攻略](https://github.com/youngyangyang04/leetcode-master),大家可以去看一下。 + +代码如下: ## C++代码 @@ -33,7 +86,7 @@ public: que.push(root); while(!que.empty()) { int size = que.size(); // 必须要这么写,要固定size大小 - depth++; + depth++; // 记录深度 for (int i = 0; i < size; i++) { TreeNode* node = que.front(); que.pop(); diff --git a/problems/0111.二叉树的最小深度.md b/problems/0111.二叉树的最小深度.md index 5b4214e3..dcc223a6 100644 --- a/problems/0111.二叉树的最小深度.md +++ b/problems/0111.二叉树的最小深度.md @@ -11,22 +11,23 @@ https://leetcode-cn.com/problems/minimum-depth-of-binary-tree/ ``` class Solution { public: - int process(TreeNode* node) { + int getDepth(TreeNode* node) { if (node == NULL) return 0; - if (node->left == NULL && node->right != NULL) { // 当一个左右其中一个孩子为空的时候并不是最低点 - return 1 + process(node->right); + // 当一个左子树为空,右不为空,这时并不是最低点 + if (node->left == NULL && node->right != NULL) { + return 1 + getDepth(node->right); } - if (node->left != NULL && node->right == NULL) { // 当一个左右其中一个孩子为空的时候并不是最低点 - return 1 + process(node->left); + // 当一个右子树为空,左不为空,这时并不是最低点 + if (node->left != NULL && node->right == NULL) { + return 1 + getDepth(node->left); } - return 1 + min(process(node->left), process(node->right)); + return 1 + min(getDepth(node->left), getDepth(node->right)); } int minDepth(TreeNode* root) { - return process(root); + return getDepth(root); } }; - ``` ### 迭代法 diff --git a/problems/0222.完全二叉树的节点个数.md b/problems/0222.完全二叉树的节点个数.md index 1f1b922d..82a1627e 100644 --- a/problems/0222.完全二叉树的节点个数.md +++ b/problems/0222.完全二叉树的节点个数.md @@ -3,7 +3,13 @@ https://leetcode-cn.com/problems/count-complete-tree-nodes/ ## 思路 -递归题目 +没有必要强调是完全二叉树,就是求二叉树节点的个数,当然还是递归法和迭代法。 + +这道题目的递归法和求二叉树的深度写法类似, 而迭代法:二叉树广度优先遍历模板稍稍修改一下,记录遍历的节点数量就可以了。 + +![完全二叉树](https://img-blog.csdnimg.cn/20200810164440999.png) + +代码如下: ## C++代码 @@ -20,6 +26,8 @@ public: ### 迭代-广度优先 +二叉树层序遍历模板详解:[0102.二叉树的层序遍历](https://github.com/youngyangyang04/leetcode/blob/master/problems/0102.二叉树的层序遍历.md) + ``` class Solution { public: @@ -33,7 +41,7 @@ public: for (int i = 0; i < size; i++) { TreeNode* node = que.front(); que.pop(); - result++; + result++; // 记录遍历的层数 if (node->left) que.push(node->left); if (node->right) que.push(node->right); } diff --git a/problems/0383.赎金信.md b/problems/0383.赎金信.md index 36c6df46..3a474d3a 100644 --- a/problems/0383.赎金信.md +++ b/problems/0383.赎金信.md @@ -21,13 +21,15 @@ public: bool canConstruct(string ransomNote, string magazine) { for (int i = 0; i < magazine.length(); i++) { for (int j = 0; j < ransomNote.length(); j++) { - if (magazine[i] == ransomNote[j]) { // 在ransomNote中找到和magazine相同的字符 + // 在ransomNote中找到和magazine相同的字符 + if (magazine[i] == ransomNote[j]) { ransomNote.erase(ransomNote.begin() + j); // ransomNote删除这个字符 break; } } } - if (ransomNote.length() == 0) { // 如果ransomNote为空,则说明magazine的字符可以组成ransomNote + // 如果ransomNote为空,则说明magazine的字符可以组成ransomNote + if (ransomNote.length() == 0) { return true; } return false; @@ -52,11 +54,14 @@ public: bool canConstruct(string ransomNote, string magazine) { int record[26] = {0}; for (int i = 0; i < magazine.length(); i++) { - record[magazine[i]-'a'] ++; // 通过recode数据记录 magazine里各个字符出现次数 + // 通过recode数据记录 magazine里各个字符出现次数 + record[magazine[i]-'a'] ++; } for (int j = 0; j < ransomNote.length(); j++) { 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