From 35bbec3e298c03cc69582f486baa961102e0f583 Mon Sep 17 00:00:00 2001
From: youngyangyang04 <826123027@qq.com>
Date: Mon, 17 Jan 2022 12:36:22 +0800
Subject: [PATCH 01/52] Update

---
 problems/0063.不同路径II.md           | 29 ++++----
 problems/0096.不同的二叉搜索树.md | 10 +--
 problems/0343.整数拆分.md             | 26 +++----
 problems/背包理论基础01背包-1.md  | 88 +++++++++++------------
 4 files changed, 75 insertions(+), 78 deletions(-)

diff --git a/problems/0063.不同路径II.md b/problems/0063.不同路径II.md
index 490b6b5c..1bcc11cd 100644
--- a/problems/0063.不同路径II.md
+++ b/problems/0063.不同路径II.md
@@ -4,7 +4,7 @@
 </a>
 <p align="center"><strong><a href="https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A">参与本项目</a>，贡献其他语言版本的代码，拥抱开源，让更多学习算法的小伙伴们收益！</strong></p>
 
-## 63. 不同路径 II
+# 63. 不同路径 II
 
 [力扣题目链接](https://leetcode-cn.com/problems/unique-paths-ii/)
 
@@ -22,23 +22,22 @@
 
 ![](https://img-blog.csdnimg.cn/20210111204939971.png)
 
-输入：obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]
-输出：2
+* 输入：obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]
+* 输出：2
 解释：
-3x3 网格的正中间有一个障碍物。
-从左上角到右下角一共有 2 条不同的路径：
-1. 向右 -> 向右 -> 向下 -> 向下
-2. 向下 -> 向下 -> 向右 -> 向右
+* 3x3 网格的正中间有一个障碍物。
+* 从左上角到右下角一共有 2 条不同的路径：
+    1. 向右 -> 向右 -> 向下 -> 向下
+    2. 向下 -> 向下 -> 向右 -> 向右
 
 示例 2：
 
 ![](https://img-blog.csdnimg.cn/20210111205857918.png)
 
-输入：obstacleGrid = [[0,1],[0,0]]
-输出：1
+* 输入：obstacleGrid = [[0,1],[0,0]]
+* 输出：1
 
 提示：
-
 * m == obstacleGrid.length
 * n == obstacleGrid[i].length
 * 1 <= m, n <= 100
@@ -171,7 +170,7 @@ public:
 
 ## 其他语言版本
 
-Java：
+### Java 
 
 ```java
 class Solution {
@@ -199,7 +198,7 @@ class Solution {
 ```
 
 
-Python：
+### Python
 
 ```python
 class Solution:
@@ -262,7 +261,7 @@ class Solution:
 ```
 
 
-Go：
+### Go
 
 ```go
 func uniquePathsWithObstacles(obstacleGrid [][]int) int {
@@ -308,8 +307,8 @@ func uniquePathsWithObstacles(obstacleGrid [][]int) int {
 
 ```
 
-Javascript
-``` Javascript
+### Javascript
+```Javascript
 var uniquePathsWithObstacles = function(obstacleGrid) {
     const m = obstacleGrid.length
     const n = obstacleGrid[0].length
diff --git a/problems/0096.不同的二叉搜索树.md b/problems/0096.不同的二叉搜索树.md
index d4b8d024..48826697 100644
--- a/problems/0096.不同的二叉搜索树.md
+++ b/problems/0096.不同的二叉搜索树.md
@@ -4,7 +4,7 @@
 </a>
 <p align="center"><strong><a href="https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A">参与本项目</a>，贡献其他语言版本的代码，拥抱开源，让更多学习算法的小伙伴们收益！</strong></p>
 
-## 96.不同的二叉搜索树
+# 96.不同的二叉搜索树
 
 [力扣题目链接](https://leetcode-cn.com/problems/unique-binary-search-trees/)
 
@@ -163,7 +163,7 @@ public:
 ## 其他语言版本
 
 
-Java：
+### Java 
 ```Java
 class Solution {
     public int numTrees(int n) {
@@ -184,7 +184,7 @@ class Solution {
 }
 ```
 
-Python：
+### Python
 ```python
 class Solution:
     def numTrees(self, n: int) -> int:
@@ -196,7 +196,7 @@ class Solution:
         return dp[-1]
 ```
 
-Go：
+### Go
 ```Go
 func numTrees(n int)int{
 	dp:=make([]int,n+1)
@@ -210,7 +210,7 @@ func numTrees(n int)int{
 }
 ```
 
-Javascript：
+### Javascript
 ```Javascript
 const numTrees =(n) => {
     let dp = new Array(n+1).fill(0);
diff --git a/problems/0343.整数拆分.md b/problems/0343.整数拆分.md
index 5d11f670..471a7ab7 100644
--- a/problems/0343.整数拆分.md
+++ b/problems/0343.整数拆分.md
@@ -4,23 +4,22 @@
 </a>
 <p align="center"><strong><a href="https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A">参与本项目</a>，贡献其他语言版本的代码，拥抱开源，让更多学习算法的小伙伴们收益！</strong></p>
 
-## 343. 整数拆分
+# 343. 整数拆分
 
 [力扣题目链接](https://leetcode-cn.com/problems/integer-break/)
 
 给定一个正整数 n，将其拆分为至少两个正整数的和，并使这些整数的乘积最大化。 返回你可以获得的最大乘积。
 
 示例 1:
-输入: 2
-输出: 1
-
-\解释: 2 = 1 + 1, 1 × 1 = 1。
+* 输入: 2
+* 输出: 1
+* 解释: 2 = 1 + 1, 1 × 1 = 1。
 
 示例 2:
-输入: 10
-输出: 36
-解释: 10 = 3 + 3 + 4, 3 × 3 × 4 = 36。
-说明: 你可以假设 n 不小于 2 且不大于 58。
+* 输入: 10
+* 输出: 36
+* 解释: 10 = 3 + 3 + 4, 3 × 3 × 4 = 36。
+* 说明: 你可以假设 n 不小于 2 且不大于 58。
 
 ## 思路
 
@@ -193,7 +192,7 @@ public:
 ## 其他语言版本
 
 
-Java：
+### Java 
 ```Java
 class Solution {
     public int integerBreak(int n) {
@@ -212,7 +211,7 @@ class Solution {
 }
 ```
 
-Python：
+### Python
 ```python
 class Solution:
     def integerBreak(self, n: int) -> int:
@@ -226,7 +225,8 @@ class Solution:
                 dp[i] = max(dp[i], max(j * (i - j), j * dp[i - j]))
         return dp[n]
 ```
-Go：
+
+### Go
 ```golang
 func integerBreak(n int) int {
     /**
@@ -256,7 +256,7 @@ func max(a,b int) int{
 }
 ```
 
-Javascript:
+### Javascript
 ```Javascript
 var integerBreak = function(n) {
     let dp = new Array(n + 1).fill(0)
diff --git a/problems/背包理论基础01背包-1.md b/problems/背包理论基础01背包-1.md
index 4367aff9..6ff32017 100644
--- a/problems/背包理论基础01背包-1.md
+++ b/problems/背包理论基础01背包-1.md
@@ -3,11 +3,12 @@
   <img src="https://code-thinking-1253855093.file.myqcloud.com/pics/20210924105952.png" width="1000"/>
 </a>
 <p align="center"><strong><a href="https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A">参与本项目</a>，贡献其他语言版本的代码，拥抱开源，让更多学习算法的小伙伴们收益！</strong></p>
+
 # 动态规划：关于01背包问题，你该了解这些！
 
 这周我们正式开始讲解背包问题！
 
-背包问题的经典资料当然是：背包九讲。在公众号「代码随想录」后台回复：背包九讲，就可以获得背包九讲的PDF。
+背包问题的经典资料当然是：背包九讲。在公众号「代码随想录」后台回复：背包九讲，就可以获得背包九讲的pdf。
 
 但说实话，背包九讲对于小白来说确实不太友好，看起来还是有点费劲的，而且都是伪代码理解起来也吃力。
 
@@ -32,7 +33,7 @@ leetcode上没有纯01背包的问题，都是01背包应用方面的题目，
 
 ## 01 背包
 
-有N件物品和一个最多能背重量为W 的背包。第i件物品的重量是weight[i]，得到的价值是value[i] 。**每件物品只能用一次**，求解将哪些物品装入背包里物品价值总和最大。
+有n件物品和一个最多能背重量为w 的背包。第i件物品的重量是weight[i]，得到的价值是value[i] 。**每件物品只能用一次**，求解将哪些物品装入背包里物品价值总和最大。
 
 ![动态规划-背包问题](https://img-blog.csdnimg.cn/20210117175428387.jpg)
 
@@ -40,7 +41,7 @@ leetcode上没有纯01背包的问题，都是01背包应用方面的题目，
 
 这样其实是没有从底向上去思考，而是习惯性想到了背包，那么暴力的解法应该是怎么样的呢？
 
-每一件物品其实只有两个状态，取或者不取，所以可以使用回溯法搜索出所有的情况，那么时间复杂度就是$O(2^n)$，这里的n表示物品数量。
+每一件物品其实只有两个状态，取或者不取，所以可以使用回溯法搜索出所有的情况，那么时间复杂度就是$o(2^n)$，这里的n表示物品数量。
 
 **所以暴力的解法是指数级别的时间复杂度。进而才需要动态规划的解法来进行优化！**
 
@@ -109,7 +110,7 @@ for (int j = 0 ; j < weight[0]; j++) {  // 当然这一步，如果把dp数组
     dp[0][j] = 0;
 }
 // 正序遍历
-for (int j = weight[0]; j <= bagWeight; j++) {
+for (int j = weight[0]; j <= bagweight; j++) {
     dp[0][j] = value[0];
 }
 ```
@@ -135,8 +136,8 @@ dp[0][j] 和 dp[i][0] 都已经初始化了，那么其他下标应该初始化
 
 ```
 // 初始化 dp
-vector<vector<int>> dp(weight.size(), vector<int>(bagWeight + 1, 0));
-for (int j = weight[0]; j <= bagWeight; j++) {
+vector<vector<int>> dp(weight.size(), vector<int>(bagweight + 1, 0));
+for (int j = weight[0]; j <= bagweight; j++) {
     dp[0][j] = value[0];
 }
 
@@ -160,7 +161,7 @@ for (int j = weight[0]; j <= bagWeight; j++) {
 ```
 // weight数组的大小 就是物品个数
 for(int i = 1; i < weight.size(); i++) { // 遍历物品
-    for(int j = 0; j <= bagWeight; j++) { // 遍历背包容量
+    for(int j = 0; j <= bagweight; j++) { // 遍历背包容量
         if (j < weight[i]) dp[i][j] = dp[i - 1][j]; 
         else dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i]);
 
@@ -174,7 +175,7 @@ for(int i = 1; i < weight.size(); i++) { // 遍历物品
 
 ```
 // weight数组的大小 就是物品个数
-for(int j = 0; j <= bagWeight; j++) { // 遍历背包容量
+for(int j = 0; j <= bagweight; j++) { // 遍历背包容量
     for(int i = 1; i < weight.size(); i++) { // 遍历物品
         if (j < weight[i]) dp[i][j] = dp[i - 1][j];
         else dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i]);
@@ -219,32 +220,32 @@ dp[i-1][j]和dp[i - 1][j - weight[i]] 都在dp[i][j]的左上角方向（包括
 主要就是自己没有动手推导一下dp数组的演变过程，如果推导明白了，代码写出来就算有问题，只要把dp数组打印出来，对比一下和自己推导的有什么差异，很快就可以发现问题了。
 
 
-## 完整C++测试代码
+## 完整c++测试代码
 
-```CPP
+```cpp
 void test_2_wei_bag_problem1() {
     vector<int> weight = {1, 3, 4};
     vector<int> value = {15, 20, 30};
-    int bagWeight = 4;
+    int bagweight = 4;
 
     // 二维数组
-    vector<vector<int>> dp(weight.size(), vector<int>(bagWeight + 1, 0));
+    vector<vector<int>> dp(weight.size(), vector<int>(bagweight + 1, 0));
 
     // 初始化
-    for (int j = weight[0]; j <= bagWeight; j++) {
+    for (int j = weight[0]; j <= bagweight; j++) {
         dp[0][j] = value[0];
     }
 
     // weight数组的大小 就是物品个数
     for(int i = 1; i < weight.size(); i++) { // 遍历物品
-        for(int j = 0; j <= bagWeight; j++) { // 遍历背包容量
+        for(int j = 0; j <= bagweight; j++) { // 遍历背包容量
             if (j < weight[i]) dp[i][j] = dp[i - 1][j];
             else dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i]);
 
         }
     }
 
-    cout << dp[weight.size() - 1][bagWeight] << endl;
+    cout << dp[weight.size() - 1][bagweight] << endl;
 }
 
 int main() {
@@ -267,48 +268,45 @@ int main() {
 
 ## 其他语言版本
 
-Java：
+### java 
 
 ```java
-    public static void main(String[] args) {
+    public static void main(string[] args) {
         int[] weight = {1, 3, 4};
         int[] value = {15, 20, 30};
-        int bagSize = 4;
-        testWeightBagProblem(weight, value, bagSize);
+        int bagsize = 4;
+        testweightbagproblem(weight, value, bagsize);
     }
 
-    public static void testWeightBagProblem(int[] weight, int[] value, int bagSize){
-        int wLen = weight.length, value0 = 0;
+    public static void testweightbagproblem(int[] weight, int[] value, int bagsize){
+        int wlen = weight.length, value0 = 0;
         //定义dp数组：dp[i][j]表示背包容量为j时，前i个物品能获得的最大价值
-        int[][] dp = new int[wLen + 1][bagSize + 1];
+        int[][] dp = new int[wlen + 1][bagsize + 1];
         //初始化：背包容量为0时，能获得的价值都为0
-        for (int i = 0; i <= wLen; i++){
+        for (int i = 0; i <= wlen; i++){
             dp[i][0] = value0;
         }
         //遍历顺序：先遍历物品，再遍历背包容量
-        for (int i = 1; i <= wLen; i++){
-            for (int j = 1; j <= bagSize; j++){
+        for (int i = 1; i <= wlen; i++){
+            for (int j = 1; j <= bagsize; j++){
                 if (j < weight[i - 1]){
                     dp[i][j] = dp[i - 1][j];
                 }else{
-                    dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - weight[i - 1]] + value[i - 1]);
+                    dp[i][j] = math.max(dp[i - 1][j], dp[i - 1][j - weight[i - 1]] + value[i - 1]);
                 }
             }
         }
         //打印dp数组
-        for (int i = 0; i <= wLen; i++){
-            for (int j = 0; j <= bagSize; j++){
-                System.out.print(dp[i][j] + " ");
+        for (int i = 0; i <= wlen; i++){
+            for (int j = 0; j <= bagsize; j++){
+                system.out.print(dp[i][j] + " ");
             }
-            System.out.print("\n");
+            system.out.print("\n");
         }
     }
 ```
 
-
-
-
-Python：
+### python
 ```python
 def test_2_wei_bag_problem1(bag_size, weight, value) -> int: 
 	rows, cols = len(weight), bag_size + 1
@@ -343,26 +341,26 @@ if __name__ == "__main__":
 ```
 
 
-Go：
+### go 
 ```go
-func test_2_wei_bag_problem1(weight, value []int, bagWeight int) int {
+func test_2_wei_bag_problem1(weight, value []int, bagweight int) int {
 	// 定义dp数组
 	dp := make([][]int, len(weight))
 	for i, _ := range dp {
-		dp[i] = make([]int, bagWeight+1)
+		dp[i] = make([]int, bagweight+1)
 	}
 	// 初始化
-	for j := bagWeight; j >= weight[0]; j-- {
+	for j := bagweight; j >= weight[0]; j-- {
 		dp[0][j] = dp[0][j-weight[0]] + value[0]
 	}
 	// 递推公式
 	for i := 1; i < len(weight); i++ {
 		//正序,也可以倒序
-		for  j := weight[i];j<= bagWeight ; j++ {
+		for  j := weight[i];j<= bagweight ; j++ {
 			dp[i][j] = max(dp[i-1][j], dp[i-1][j-weight[i]]+value[i])
 		}		
 	}
-	return dp[len(weight)-1][bagWeight]
+	return dp[len(weight)-1][bagweight]
 }
 
 func max(a,b int) int {
@@ -379,19 +377,19 @@ func main() {
 }
 ```
 
-javaScript: 
+### javascript 
 
 ```js
-function testWeightBagProblem (wight, value, size) {
+function testweightbagproblem (wight, value, size) {
   const len = wight.length, 
-    dp = Array.from({length: len + 1}).map(
-      () => Array(size + 1).fill(0)
+    dp = array.from({length: len + 1}).map(
+      () => array(size + 1).fill(0)
     );
   
   for(let i = 1; i <= len; i++) {
     for(let j = 0; j <= size; j++) {
       if(wight[i - 1] <= j) {
-        dp[i][j] = Math.max(
+        dp[i][j] = math.max(
           dp[i - 1][j], 
           value[i - 1] + dp[i - 1][j - wight[i - 1]]
         )

From d29fa29a87e8e5b2739f5033423cc6666d1ced42 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 21 Jan 2022 14:16:33 +0800
Subject: [PATCH 02/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880232.=E7=94=A8?=
 =?UTF-8?q?=E6=A0=88=E5=AE=9E=E7=8E=B0=E9=98=9F=E5=88=97.md=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0232.用栈实现队列.md | 37 +++++++++++++++++++++++++++++
 1 file changed, 37 insertions(+)

diff --git a/problems/0232.用栈实现队列.md b/problems/0232.用栈实现队列.md
index 4edba2f2..33ce8114 100644
--- a/problems/0232.用栈实现队列.md
+++ b/problems/0232.用栈实现队列.md
@@ -348,7 +348,44 @@ MyQueue.prototype.empty = function() {
 };
  ```
 
+TypeScript:
+
+```typescript
+class MyQueue {
+    private stackIn: number[]
+    private stackOut: number[]
+    constructor() {
+        this.stackIn = [];
+        this.stackOut = [];
+    }
+
+    push(x: number): void {
+        this.stackIn.push(x);
+    }
+
+    pop(): number {
+        if (this.stackOut.length === 0) {
+            while (this.stackIn.length > 0) {
+                this.stackOut.push(this.stackIn.pop()!);
+            }
+        }
+        return this.stackOut.pop()!;
+    }
+
+    peek(): number {
+        let temp: number = this.pop();
+        this.stackOut.push(temp);
+        return temp;
+    }
+
+    empty(): boolean {
+        return this.stackIn.length === 0 && this.stackOut.length === 0;
+    }
+}
+```
+
 Swift：
+
 ```swift
 class MyQueue {
     

From 7037fb2877da6406d690e7bf3160da5c2b5dc673 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 21 Jan 2022 17:25:00 +0800
Subject: [PATCH 03/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880225.=E7=94=A8?=
 =?UTF-8?q?=E9=98=9F=E5=88=97=E5=AE=9E=E7=8E=B0=E6=A0=88.md=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0225.用队列实现栈.md | 73 +++++++++++++++++++++++++++++
 1 file changed, 73 insertions(+)

diff --git a/problems/0225.用队列实现栈.md b/problems/0225.用队列实现栈.md
index fdb544a6..961fad38 100644
--- a/problems/0225.用队列实现栈.md
+++ b/problems/0225.用队列实现栈.md
@@ -598,7 +598,80 @@ MyStack.prototype.empty = function() {
 
 ```
 
+TypeScript:
+
+版本一：使用两个队列模拟栈
+
+```typescript
+class MyStack {
+    private queue: number[];
+    private tempQueue: number[];
+    constructor() {
+        this.queue = [];
+        this.tempQueue = [];
+    }
+
+    push(x: number): void {
+        this.queue.push(x);
+    }
+
+    pop(): number {
+        for (let i = 0, length = this.queue.length - 1; i < length; i++) {
+            this.tempQueue.push(this.queue.shift()!);
+        }
+        let res: number = this.queue.pop()!;
+        let temp: number[] = this.queue;
+        this.queue = this.tempQueue;
+        this.tempQueue = temp;
+        return res;
+    }
+
+    top(): number {
+        let res: number = this.pop();
+        this.push(res);
+        return res;
+    }
+
+    empty(): boolean {
+        return this.queue.length === 0;
+    }
+}
+```
+
+版本二：使用一个队列模拟栈
+
+```typescript
+class MyStack {
+    private queue: number[];
+    constructor() {
+        this.queue = [];
+    }
+
+    push(x: number): void {
+        this.queue.push(x);
+    }
+
+    pop(): number {
+        for (let i = 0, length = this.queue.length - 1; i < length; i++) {
+            this.queue.push(this.queue.shift()!);
+        }
+        return this.queue.shift()!;
+    }
+
+    top(): number {
+        let res: number = this.pop();
+        this.push(res);
+        return res;
+    }
+
+    empty(): boolean {
+        return this.queue.length === 0;
+    }
+}
+```
+
 Swift
+
 ```Swift
 // 定义一个队列数据结构
 class Queue {

From f54af7ff39bb3c2d268eb1daff3bd2f5c8ca8b72 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 21 Jan 2022 20:57:58 +0800
Subject: [PATCH 04/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880020.=E6=9C=89?=
 =?UTF-8?q?=E6=95=88=E7=9A=84=E6=8B=AC=E5=8F=B7.md=EF=BC=89=EF=BC=9A?=
 =?UTF-8?q?=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0020.有效的括号.md | 52 ++++++++++++++++++++++++++++++++
 1 file changed, 52 insertions(+)

diff --git a/problems/0020.有效的括号.md b/problems/0020.有效的括号.md
index 9e4046d4..95d62e42 100644
--- a/problems/0020.有效的括号.md
+++ b/problems/0020.有效的括号.md
@@ -283,8 +283,60 @@ var isValid = function(s) {
 };
 ```
 
+TypeScript:
+
+版本一：普通版
+
+```typescript
+function isValid(s: string): boolean {
+    let helperStack: string[] = [];
+    for (let i = 0, length = s.length; i < length; i++) {
+        let x: string = s[i];
+        switch (x) {
+            case '(':
+                helperStack.push(')');
+                break;
+            case '[':
+                helperStack.push(']');
+                break;
+            case '{':
+                helperStack.push('}');
+                break;
+            default:
+                if (helperStack.pop() !== x) return false;
+                break;
+        }
+    }
+    return helperStack.length === 0;
+};
+```
+
+版本二：优化版
+
+```typescript
+function isValid(s: string): boolean {
+    type BracketMap = {
+        [index: string]: string;
+    }
+    let helperStack: string[] = [];
+    let bracketMap: BracketMap = {
+        '(': ')',
+        '[': ']',
+        '{': '}'
+    }
+    for (let i of s) {
+        if (bracketMap.hasOwnProperty(i)) {
+            helperStack.push(bracketMap[i]);
+        } else if (i !== helperStack.pop()) {
+            return false;
+        }
+    }
+    return helperStack.length === 0;
+};
+```
 
 Swift
+
 ```swift
 func isValid(_ s: String) -> Bool {
     var stack = [String.Element]()

From 61b0ddef35b07f7b459d9bfac774691bcf6cec98 Mon Sep 17 00:00:00 2001
From: coolcty <coolcty@qq.com>
Date: Fri, 21 Jan 2022 17:52:43 +0100
Subject: [PATCH 05/52] =?UTF-8?q?Update=200031.=E4=B8=8B=E4=B8=80=E4=B8=AA?=
 =?UTF-8?q?=E6=8E=92=E5=88=97.md?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0031.下一个排列.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/problems/0031.下一个排列.md b/problems/0031.下一个排列.md
index 84bf3e60..2219e24d 100644
--- a/problems/0031.下一个排列.md
+++ b/problems/0031.下一个排列.md
@@ -81,7 +81,7 @@ public:
             for (int j = nums.size() - 1; j > i; j--) {
                 if (nums[j] > nums[i]) {
                     swap(nums[j], nums[i]);
-                    sort(nums.begin() + i + 1, nums.end());
+                    reverse(nums.begin() + i + 1, nums.end());
                     return;
                 }
             }

From 2f6aa72964593420158bf8e4c393ea56ed053dd6 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Sat, 22 Jan 2022 17:45:40 +0800
Subject: [PATCH 06/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=881047.=E5=88=A0?=
 =?UTF-8?q?=E9=99=A4=E5=AD=97=E7=AC=A6=E4=B8=B2=E4=B8=AD=E7=9A=84=E6=89=80?=
 =?UTF-8?q?=E6=9C=89=E7=9B=B8=E9=82=BB=E9=87=8D=E5=A4=8D=E9=A1=B9.md?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 ...除字符串中的所有相邻重复项.md | 24 +++++++++++++++++++
 1 file changed, 24 insertions(+)

diff --git a/problems/1047.删除字符串中的所有相邻重复项.md b/problems/1047.删除字符串中的所有相邻重复项.md
index d6eefd07..9a0bb1c1 100644
--- a/problems/1047.删除字符串中的所有相邻重复项.md
+++ b/problems/1047.删除字符串中的所有相邻重复项.md
@@ -267,8 +267,32 @@ var removeDuplicates = function(s) {
 };
 ```
 
+TypeScript：
+
+```typescript
+function removeDuplicates(s: string): string {
+    const helperStack: string[] = [];
+    let i: number = 0;
+    while (i < s.length) {
+        let top: string = helperStack[helperStack.length - 1];
+        if (top === s[i]) {
+            helperStack.pop();
+        } else {
+            helperStack.push(s[i]);
+        }
+        i++;
+    }
+    let res: string = '';
+    while (helperStack.length > 0) {
+        res = helperStack.pop() + res;
+    }
+    return res;
+};
+```
+
 C:
 方法一：使用栈
+
 ```c
 char * removeDuplicates(char * s){
     //求出字符串长度

From 3fb923694db6cdd6a1b38f16cfcc294bfa415876 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Sat, 22 Jan 2022 22:20:24 +0800
Subject: [PATCH 07/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880150.=E9=80=86?=
 =?UTF-8?q?=E6=B3=A2=E5=85=B0=E8=A1=A8=E8=BE=BE=E5=BC=8F=E6=B1=82=E5=80=BC?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0150.逆波兰表达式求值.md | 65 +++++++++++++++++++++++
 1 file changed, 65 insertions(+)

diff --git a/problems/0150.逆波兰表达式求值.md b/problems/0150.逆波兰表达式求值.md
index f44703f1..f4dad823 100644
--- a/problems/0150.逆波兰表达式求值.md
+++ b/problems/0150.逆波兰表达式求值.md
@@ -210,6 +210,71 @@ var evalRPN = function(tokens) {
 };
 ```
 
+TypeScript：
+
+普通版：
+
+```typescript
+function evalRPN(tokens: string[]): number {
+    let helperStack: number[] = [];
+    let temp: number;
+    let i: number = 0;
+    while (i < tokens.length) {
+        let t: string = tokens[i];
+        switch (t) {
+            case '+':
+                temp = helperStack.pop()! + helperStack.pop()!;
+                helperStack.push(temp);
+                break;
+            case '-':
+                temp = helperStack.pop()!;
+                temp = helperStack.pop()! - temp;
+                helperStack.push(temp);
+                break;
+            case '*':
+                temp = helperStack.pop()! * helperStack.pop()!;
+                helperStack.push(temp);
+                break;
+            case '/':
+                temp = helperStack.pop()!;
+                temp = Math.trunc(helperStack.pop()! / temp);
+                helperStack.push(temp);
+                break;
+            default:
+                helperStack.push(Number(t));
+                break;
+        }
+        i++;
+    }
+    return helperStack.pop()!;
+};
+```
+
+优化版：
+
+```typescript
+function evalRPN(tokens: string[]): number {
+    const helperStack: number[] = [];
+    const operatorMap: Map<string, (a: number, b: number) => number> = new Map([
+        ['+', (a, b) => a + b],
+        ['-', (a, b) => a - b],
+        ['/', (a, b) => Math.trunc(a / b)],
+        ['*', (a, b) => a * b],
+    ]);
+    let a: number, b: number;
+    for (let t of tokens) {
+        if (operatorMap.has(t)) {
+            b = helperStack.pop()!;
+            a = helperStack.pop()!;
+            helperStack.push(operatorMap.get(t)!(a, b));
+        } else {
+            helperStack.push(Number(t));
+        }
+    }
+    return helperStack.pop()!;
+};
+```
+
 python3
 
 ```python

From b3078ef51c321e386f5900e4f43c3b2c68dd0ca0 Mon Sep 17 00:00:00 2001
From: zhicheng lee <904688436@qq.com>
Date: Sun, 23 Jan 2022 22:59:59 +0800
Subject: [PATCH 08/52] =?UTF-8?q?Update=200435.=E6=97=A0=E9=87=8D=E5=8F=A0?=
 =?UTF-8?q?=E5=8C=BA=E9=97=B4.md?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

更新Java版本代码
---
 problems/0435.无重叠区间.md | 28 +++++++++++-----------------
 1 file changed, 11 insertions(+), 17 deletions(-)

diff --git a/problems/0435.无重叠区间.md b/problems/0435.无重叠区间.md
index 118360bc..389443d1 100644
--- a/problems/0435.无重叠区间.md
+++ b/problems/0435.无重叠区间.md
@@ -183,28 +183,22 @@ public:
 ```java
 class Solution {
     public int eraseOverlapIntervals(int[][] intervals) {
-        if (intervals.length < 2) return 0;
-
-        Arrays.sort(intervals, new Comparator<int[]>() {
-            @Override
-            public int compare(int[] o1, int[] o2) {
-                if (o1[1] != o2[1]) {
-                    return Integer.compare(o1[1],o2[1]);
-                } else {
-                    return Integer.compare(o1[0],o2[0]);
-                }
-            }
+        Arrays.sort(intervals, (a, b) -> {
+            if (a[0] == a[0]) return a[1] - b[1];
+            return a[0] - b[0];
         });
 
-        int count = 1;
-        int edge = intervals[0][1];
-        for (int i = 1; i < intervals.length; i++) {
-            if (edge <= intervals[i][0]){
-                count ++; //non overlap + 1
+        int count = 0;
+        int edge = Integer.MIN_VALUE;
+        for (int i = 0; i < intervals.length; i++) {
+            if (edge <= intervals[i][0]) {
                 edge = intervals[i][1];
+            } else {
+                count++;
             }
         }
-        return intervals.length - count;
+
+        return count;
     }
 }
 ```

From ac9f8c612033d87221e1fc79ce093211a1f5570b Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 15:51:26 +0800
Subject: [PATCH 09/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880239.=E6=BB=91?=
 =?UTF-8?q?=E5=8A=A8=E7=AA=97=E5=8F=A3=E6=9C=80=E5=A4=A7=E5=80=BC.md?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0239.滑动窗口最大值.md | 49 ++++++++++++++++++++++++++
 1 file changed, 49 insertions(+)

diff --git a/problems/0239.滑动窗口最大值.md b/problems/0239.滑动窗口最大值.md
index d9788f63..6e8039f4 100644
--- a/problems/0239.滑动窗口最大值.md
+++ b/problems/0239.滑动窗口最大值.md
@@ -418,7 +418,56 @@ var maxSlidingWindow = function (nums, k) {
 };
 ```
 
+TypeScript：
+
+```typescript
+function maxSlidingWindow(nums: number[], k: number): number[] {
+    /** 单调递减队列 */
+    class MonoQueue {
+        private queue: number[];
+        constructor() {
+            this.queue = [];
+        };
+        /** 入队：value如果大于队尾元素，则将队尾元素删除，直至队尾元素大于value，或者队列为空 */
+        public enqueue(value: number): void {
+            let back: number | undefined = this.queue[this.queue.length - 1];
+            while (back !== undefined && back < value) {
+                this.queue.pop();
+                back = this.queue[this.queue.length - 1];
+            }
+            this.queue.push(value);
+        };
+        /** 出队：只有当队头元素等于value，才出队 */
+        public dequeue(value: number): void {
+            let top: number | undefined = this.top();
+            if (top !== undefined && top === value) {
+                this.queue.shift();
+            }
+        }
+        public top(): number | undefined {
+            return this.queue[0];
+        }
+    }
+    const helperQueue: MonoQueue = new MonoQueue();
+    let i: number = 0,
+        j: number = 0;
+    let resArr: number[] = [];
+    while (j < k) {
+        helperQueue.enqueue(nums[j++]);
+    }
+    resArr.push(helperQueue.top()!);
+    while (j < nums.length) {
+        helperQueue.enqueue(nums[j]);
+        helperQueue.dequeue(nums[i]);
+        resArr.push(helperQueue.top()!);
+        j++, i++;
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 ```Swift
 /// 双向链表
 class DoublyListNode {

From a12ad31f46c082f35a88441d65ef322740d12520 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 16:03:36 +0800
Subject: [PATCH 10/52] =?UTF-8?q?=E4=BF=AE=E6=94=B9=EF=BC=880239.=E6=BB=91?=
 =?UTF-8?q?=E5=8A=A8=E7=AA=97=E5=8F=A3=E6=9C=80=E5=A4=A7=E5=80=BC.md?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E8=A7=84=E8=8C=83=E5=8C=96js=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0239.滑动窗口最大值.md | 57 ++++++++++++++++++--------
 1 file changed, 40 insertions(+), 17 deletions(-)

diff --git a/problems/0239.滑动窗口最大值.md b/problems/0239.滑动窗口最大值.md
index 6e8039f4..adf3548c 100644
--- a/problems/0239.滑动窗口最大值.md
+++ b/problems/0239.滑动窗口最大值.md
@@ -395,26 +395,49 @@ func maxSlidingWindow(nums []int, k int) []int {
 
 Javascript:
 ```javascript
+/**
+ * @param {number[]} nums
+ * @param {number} k
+ * @return {number[]}
+ */
 var maxSlidingWindow = function (nums, k) {
-  // 队列数组（存放的是元素下标，为了取值方便）
-  const q = [];
-  // 结果数组
-  const ans = [];
-  for (let i = 0; i < nums.length; i++) {
-    // 若队列不为空，且当前元素大于等于队尾所存下标的元素，则弹出队尾
-    while (q.length && nums[i] >= nums[q[q.length - 1]]) {
-      q.pop();
+    class MonoQueue {
+        queue;
+        constructor() {
+            this.queue = [];
+        }
+        enqueue(value) {
+            let back = this.queue[this.queue.length - 1];
+            while (back !== undefined && back < value) {
+                this.queue.pop();
+                back = this.queue[this.queue.length - 1];
+            }
+            this.queue.push(value);
+        }
+        dequeue(value) {
+            let front = this.front();
+            if (front === value) {
+                this.queue.shift();
+            }
+        }
+        front() {
+            return this.queue[0];
+        }
     }
-    // 入队当前元素下标
-    q.push(i);
-    // 判断当前最大值（即队首元素）是否在窗口中，若不在便将其出队
-    if (q[0] <= i - k) {
-      q.shift();
+    let helperQueue = new MonoQueue();
+    let i = 0, j = 0;
+    let resArr = [];
+    while (j < k) {
+        helperQueue.enqueue(nums[j++]);
     }
-    // 当达到窗口大小时便开始向结果中添加数据
-    if (i >= k - 1) ans.push(nums[q[0]]);
-  }
-  return ans;
+    resArr.push(helperQueue.front());
+    while (j < nums.length) {
+        helperQueue.enqueue(nums[j]);
+        helperQueue.dequeue(nums[i]);
+        resArr.push(helperQueue.front());
+        i++, j++;
+    }
+    return resArr;
 };
 ```
 

From 60c3a27ce9537d7361e4927b21129bf77be507ba Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 17:39:34 +0800
Subject: [PATCH 11/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880347.=E5=89=8D?=
 =?UTF-8?q?K=E4=B8=AA=E9=AB=98=E9=A2=91=E5=85=83=E7=B4=A0.md=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0347.前K个高频元素.md | 16 ++++++++++++++++
 1 file changed, 16 insertions(+)

diff --git a/problems/0347.前K个高频元素.md b/problems/0347.前K个高频元素.md
index 8bd774e9..1d6a358b 100644
--- a/problems/0347.前K个高频元素.md
+++ b/problems/0347.前K个高频元素.md
@@ -358,6 +358,22 @@ PriorityQueue.prototype.compare = function(index1, index2) {
 }
 ```
 
+TypeScript：
+
+```typescript
+function topKFrequent(nums: number[], k: number): number[] {
+    const countMap: Map<number, number> = new Map();
+    for (let num of nums) {
+        countMap.set(num, (countMap.get(num) || 0) + 1);
+    }
+    // tS没有最小堆的数据结构，所以直接对整个数组进行排序，取前k个元素
+    return [...countMap.entries()]
+        .sort((a, b) => b[1] - a[1])
+        .slice(0, k)
+        .map(i => i[0]);
+};
+```
+
 
 
 -----------------------

From de37c44f4fbc6b368f1afe6a51e508c949ff9271 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 19:41:17 +0800
Subject: [PATCH 12/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=90=86=E8=AE=BA=E5=9F=BA=E7=A1=80.md?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树理论基础.md | 16 ++++++++++++++++
 1 file changed, 16 insertions(+)

diff --git a/problems/二叉树理论基础.md b/problems/二叉树理论基础.md
index cc899850..009e8276 100644
--- a/problems/二叉树理论基础.md
+++ b/problems/二叉树理论基础.md
@@ -227,7 +227,23 @@ function TreeNode(val, left, right) {
 }
 ```
 
+TypeScript：
+
+```typescript
+class TreeNode {
+    public val: number;
+    public left: TreeNode | null;
+    public right: TreeNode | null;
+    constructor(val?: number, left?: TreeNode, right?: TreeNode) {
+        this.val = val === undefined ? 0 : val;
+        this.left = left === undefined ? null : left;
+        this.right = right === undefined ? null : right;
+    }
+}
+```
+
 Swift:
+
 ```Swift
 class TreeNode<T> {
     var value: T

From a488a3414a8c0e3408678f8393b116837e6240ea Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 20:25:45 +0800
Subject: [PATCH 13/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E9=80=92=E5=BD=92=E9=81=8D=E5=8E=86?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树的递归遍历.md | 44 ++++++++++++++++++++++++++++
 1 file changed, 44 insertions(+)

diff --git a/problems/二叉树的递归遍历.md b/problems/二叉树的递归遍历.md
index 4beed650..ba13fc74 100644
--- a/problems/二叉树的递归遍历.md
+++ b/problems/二叉树的递归遍历.md
@@ -358,7 +358,51 @@ var postorderTraversal = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+// 前序遍历
+function preorderTraversal(node: TreeNode | null): number[] {
+    function traverse(node: TreeNode | null, res: number[]): void {
+        if (node === null) return;
+        res.push(node.val);
+        traverse(node.left, res);
+        traverse(node.right, res);
+    }
+    const res: number[] = [];
+    traverse(node, res);
+    return res;
+}
+
+// 中序遍历
+function inorderTraversal(node: TreeNode | null): number[] {
+    function traverse(node: TreeNode | null, res: number[]): void {
+        if (node === null) return;
+        traverse(node.left, res);
+        res.push(node.val);
+        traverse(node.right, res);
+    }
+    const res: number[] = [];
+    traverse(node, res);
+    return res;
+}
+
+// 后序遍历
+function postorderTraversal(node: TreeNode | null): number[] {
+    function traverse(node: TreeNode | null, res: number[]): void {
+        if (node === null) return;
+        traverse(node.left, res);
+        traverse(node.right, res);
+        res.push(node.val);
+    }
+    const res: number[] = [];
+    traverse(node, res);
+    return res;
+}
+```
+
 C:
+
 ```c
 //前序遍历：
 void preOrderTraversal(struct TreeNode* root, int* ret, int* returnSize) {

From fec8e0882a771ea5866e0611c01874d6850654e6 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 24 Jan 2022 20:27:15 +0800
Subject: [PATCH 14/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E9=80=92=E5=BD=92=E9=81=8D=E5=8E=86?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=88=A0=E9=99=A4=E5=A4=9A=E4=BD=99?=
 =?UTF-8?q?=E7=9A=84js=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树的递归遍历.md | 34 ----------------------------
 1 file changed, 34 deletions(-)

diff --git a/problems/二叉树的递归遍历.md b/problems/二叉树的递归遍历.md
index ba13fc74..c481fd11 100644
--- a/problems/二叉树的递归遍历.md
+++ b/problems/二叉树的递归遍历.md
@@ -270,40 +270,6 @@ func postorderTraversal(root *TreeNode) (res []int) {
 }
 ```
 
-javaScript:
-
-```js
-
-前序遍历:
-
-var preorderTraversal = function(root, res = []) {
-    if (!root) return res;
-    res.push(root.val);
-    preorderTraversal(root.left, res)
-    preorderTraversal(root.right, res)
-    return res;
-};
-
-中序遍历:
-
-var inorderTraversal = function(root, res = []) {
-    if (!root) return res;
-    inorderTraversal(root.left, res);
-    res.push(root.val);
-    inorderTraversal(root.right, res);
-    return res;
-};
-
-后序遍历:
-
-var postorderTraversal = function(root, res = []) {
-    if (!root) return res;
-    postorderTraversal(root.left, res);
-    postorderTraversal(root.right, res);
-    res.push(root.val);
-    return res;
-};
-```
 Javascript版本：
 
 前序遍历：

From 1efb77e96310d884eb2b8647232dd1586f4f0afb Mon Sep 17 00:00:00 2001
From: zucong <sebastiancong@163.com>
Date: Tue, 25 Jan 2022 14:33:12 +0800
Subject: [PATCH 15/52] =?UTF-8?q?=E4=BC=98=E5=8C=96=200112.=E8=B7=AF?=
 =?UTF-8?q?=E5=BE=84=E6=80=BB=E5=92=8C=20Go=E7=89=88=E6=9C=AC=E8=A7=A3?=
 =?UTF-8?q?=E6=B3=95?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0112.路径总和.md | 101 ++++++++++++++--------------------
 1 file changed, 41 insertions(+), 60 deletions(-)

diff --git a/problems/0112.路径总和.md b/problems/0112.路径总和.md
index 910e57c8..b3e121ba 100644
--- a/problems/0112.路径总和.md
+++ b/problems/0112.路径总和.md
@@ -531,82 +531,63 @@ class solution:
 ```go
 //递归法
 /**
- * definition for a binary tree node.
- * type treenode struct {
- *     val int
- *     left *treenode
- *     right *treenode
+ * Definition for a binary tree node.
+ * type TreeNode struct {
+ *     Val int
+ *     Left *TreeNode
+ *     Right *TreeNode
  * }
  */
-func haspathsum(root *treenode, targetsum int) bool {
-    var flage bool //找没找到的标志
-    if root==nil{
-        return flage
+func hasPathSum(root *TreeNode, targetSum int) bool {
+    if root == nil {
+        return false
     }
-    pathsum(root,0,targetsum,&flage)
-    return flage
-}
-func pathsum(root *treenode, sum int,targetsum int,flage *bool){
-    sum+=root.val
-    if root.left==nil&&root.right==nil&&sum==targetsum{
-        *flage=true
-        return
-    }
-    if root.left!=nil&&!(*flage){//左节点不为空且还没找到
-        pathsum(root.left,sum,targetsum,flage)
-    } 
-    if root.right!=nil&&!(*flage){//右节点不为空且没找到
-        pathsum(root.right,sum,targetsum,flage)
+    
+    targetSum -= root.Val // 将targetSum在遍历每层的时候都减去本层节点的值
+    if root.Left == nil && root.Right == nil && targetSum == 0 { // 如果剩余的targetSum为0, 则正好就是符合的结果
+        return true
     }
+    return hasPathSum(root.Left, targetSum) || hasPathSum(root.Right, targetSum) // 否则递归找
 }
 ```
 
-113 递归法
+113. 路径总和 II
 
 ```go
 /**
- * definition for a binary tree node.
- * type treenode struct {
- *     val int
- *     left *treenode
- *     right *treenode
+ * Definition for a binary tree node.
+ * type TreeNode struct {
+ *     Val int
+ *     Left *TreeNode
+ *     Right *TreeNode
  * }
  */
-func pathsum(root *treenode, targetsum int) [][]int {
-    var result [][]int//最终结果
-    if root==nil{
-        return result
-    }
-    var sumnodes []int//经过路径的节点集合
-    haspathsum(root,&sumnodes,targetsum,&result)
+func pathSum(root *TreeNode, targetSum int) [][]int {
+    result := make([][]int, 0)
+    traverse(root, &result, new([]int), targetSum)
     return result
 }
-func haspathsum(root *treenode,sumnodes *[]int,targetsum int,result *[][]int){
-    *sumnodes=append(*sumnodes,root.val)
-    if root.left==nil&&root.right==nil{//叶子节点
-        fmt.println(*sumnodes)
-        var sum int
-        var number int
-        for k,v:=range *sumnodes{//求该路径节点的和
-            sum+=v
-            number=k
-        }
-        tempnodes:=make([]int,number+1)//新的nodes接受指针里的值，防止最终指针里的值发生变动，导致最后的结果都是最后一个sumnodes的值
-        for k,v:=range *sumnodes{
-            tempnodes[k]=v
-        }
-        if sum==targetsum{
-            *result=append(*result,tempnodes)
-        }
+
+func traverse(node *TreeNode, result *[][]int, currPath *[]int, targetSum int) {
+    if node == nil { // 这个判空也可以挪到递归遍历左右子树时去判断
+        return
     }
-    if root.left!=nil{
-        haspathsum(root.left,sumnodes,targetsum,result)
-        *sumnodes=(*sumnodes)[:len(*sumnodes)-1]//回溯
-    }
-    if root.right!=nil{
-        haspathsum(root.right,sumnodes,targetsum,result)
-        *sumnodes=(*sumnodes)[:len(*sumnodes)-1]//回溯
+
+    targetSum -= node.Val // 将targetSum在遍历每层的时候都减去本层节点的值
+    *currPath = append(*currPath, node.Val) // 把当前节点放到路径记录里
+    
+    if node.Left == nil && node.Right == nil && targetSum == 0 { // 如果剩余的targetSum为0, 则正好就是符合的结果
+        // 不能直接将currPath放到result里面, 因为currPath是共享的, 每次遍历子树时都会被修改
+        pathCopy := make([]int, len(*currPath)) 
+        for i, element := range *currPath {
+            pathCopy[i] = element
+        }
+        *result = append(*result, pathCopy) // 将副本放到结果集里
     }
+
+    traverse(node.Left, result, currPath, targetSum)
+    traverse(node.Right, result, currPath, targetSum)
+    *currPath = (*currPath)[:len(*currPath)-1] // 当前节点遍历完成, 从路径记录里删除掉
 }
 ```
 

From d40a15eccca9212f701c4602a514168ab52fecf6 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Wed, 26 Jan 2022 10:40:30 +0800
Subject: [PATCH 16/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E8=BF=AD=E4=BB=A3=E9=81=8D=E5=8E=86?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树的迭代遍历.md | 55 ++++++++++++++++++++++++++++
 1 file changed, 55 insertions(+)

diff --git a/problems/二叉树的迭代遍历.md b/problems/二叉树的迭代遍历.md
index 4cb94cb5..ba38726b 100644
--- a/problems/二叉树的迭代遍历.md
+++ b/problems/二叉树的迭代遍历.md
@@ -454,6 +454,61 @@ var postorderTraversal = function(root, res = []) {
 };
 ```
 
+TypeScript:
+
+```typescript
+// 前序遍历（迭代法）
+function preorderTraversal(root: TreeNode | null): number[] {
+    if (root === null) return [];
+    let res: number[] = [];
+    let helperStack: TreeNode[] = [];
+    let curNode: TreeNode = root;
+    helperStack.push(curNode);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        res.push(curNode.val);
+        if (curNode.right !== null) helperStack.push(curNode.right);
+        if (curNode.left !== null) helperStack.push(curNode.left);
+    }
+    return res;
+};
+
+// 中序遍历（迭代法）
+function inorderTraversal(root: TreeNode | null): number[] {
+    let helperStack: TreeNode[] = [];
+    let res: number[] = [];
+    if (root === null) return res;
+    let curNode: TreeNode | null = root;
+    while (curNode !== null || helperStack.length > 0) {
+        if (curNode !== null) {
+            helperStack.push(curNode);
+            curNode = curNode.left;
+        } else {
+            curNode = helperStack.pop()!;
+            res.push(curNode.val);
+            curNode = curNode.right;
+        }
+    }
+    return res;
+};
+
+// 后序遍历（迭代法）
+function postorderTraversal(root: TreeNode | null): number[] {
+    let helperStack: TreeNode[] = [];
+    let res: number[] = [];
+    let curNode: TreeNode;
+    if (root === null) return res;
+    helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        res.push(curNode.val);
+        if (curNode.left !== null) helperStack.push(curNode.left);
+        if (curNode.right !== null) helperStack.push(curNode.right);
+    }
+    return res.reverse();
+};
+```
+
 Swift:
 
 > 迭代法前序遍历

From 7ed2a3aef7b10b48fe7f8127f185f4a6efc9952c Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Wed, 26 Jan 2022 19:18:23 +0800
Subject: [PATCH 17/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E7=BB=9F=E4=B8=80=E8=BF=AD=E4=BB=A3?=
 =?UTF-8?q?=E6=B3=95.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript?=
 =?UTF-8?q?=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树的统一迭代法.md | 68 +++++++++++++++++++++++++
 1 file changed, 68 insertions(+)

diff --git a/problems/二叉树的统一迭代法.md b/problems/二叉树的统一迭代法.md
index 2ff84817..f6edf586 100644
--- a/problems/二叉树的统一迭代法.md
+++ b/problems/二叉树的统一迭代法.md
@@ -522,7 +522,75 @@ var postorderTraversal = function(root, res = []) {
 
 ```
 
+TypeScript：
 
+```typescript
+// 前序遍历（迭代法）
+function preorderTraversal(root: TreeNode | null): number[] {
+    let helperStack: (TreeNode | null)[] = [];
+    let res: number[] = [];
+    let curNode: TreeNode | null;
+    if (root === null) return res;
+    helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        if (curNode !== null) {
+            if (curNode.right !== null) helperStack.push(curNode.right);
+            helperStack.push(curNode);
+            helperStack.push(null);
+            if (curNode.left !== null) helperStack.push(curNode.left);
+        } else {
+            curNode = helperStack.pop()!;
+            res.push(curNode.val);
+        }
+    }
+    return res;
+};
+
+// 中序遍历（迭代法）
+function inorderTraversal(root: TreeNode | null): number[] {
+    let helperStack: (TreeNode | null)[] = [];
+    let res: number[] = [];
+    let curNode: TreeNode | null;
+    if (root === null) return res;
+    helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        if (curNode !== null) {
+            if (curNode.right !== null) helperStack.push(curNode.right);
+            helperStack.push(curNode);
+            helperStack.push(null);
+            if (curNode.left !== null) helperStack.push(curNode.left);
+        } else {
+            curNode = helperStack.pop()!;
+            res.push(curNode.val);
+        }
+    }
+    return res;
+};
+
+// 后序遍历（迭代法）
+function postorderTraversal(root: TreeNode | null): number[] {
+    let helperStack: (TreeNode | null)[] = [];
+    let res: number[] = [];
+    let curNode: TreeNode | null;
+    if (root === null) return res;
+    helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        if (curNode !== null) {
+            if (curNode.right !== null) helperStack.push(curNode.right);
+            helperStack.push(curNode);
+            helperStack.push(null);
+            if (curNode.left !== null) helperStack.push(curNode.left);
+        } else {
+            curNode = helperStack.pop()!;
+            res.push(curNode.val);
+        }
+    }
+    return res;
+};
+```
 
 -----------------------
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码一.jpg width=500> </img></div>

From 878231551829fdd9deea2f2457eb09b794d7ed65 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Wed, 26 Jan 2022 21:20:36 +0800
Subject: [PATCH 18/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880102.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E5=B1=82=E5=BA=8F=E9=81=8D=E5=8E=86?=
 =?UTF-8?q?.md=20&=20107.=E4=BA=8C=E5=8F=89=E6=A0=91=E7=9A=84=E5=B1=82?=
 =?UTF-8?q?=E6=AC=A1=E9=81=8D=E5=8E=86=20II=EF=BC=89=EF=BC=9A=E5=A2=9E?=
 =?UTF-8?q?=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 52 +++++++++++++++++++++++
 1 file changed, 52 insertions(+)

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 1fb9b633..b108c8f0 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
@@ -246,7 +246,35 @@ var levelOrder = function(root) {
 
 ```
 
+TypeScript：
+
+```typescript
+function levelOrder(root: TreeNode | null): number[][] {
+    let helperQueue: TreeNode[] = [];
+    let res: number[][] = [];
+    let tempArr: number[] = [];
+    if (root !== null) helperQueue.push(root);
+    let curNode: TreeNode;
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            curNode = helperQueue.shift()!;
+            tempArr.push(curNode.val);
+            if (curNode.left !== null) {
+                helperQueue.push(curNode.left);
+            }
+            if (curNode.right !== null) {
+                helperQueue.push(curNode.right);
+            }
+        }
+        res.push(tempArr);
+        tempArr = [];
+    }
+    return res;
+};
+```
+
 Swift:
+
 ```swift
 func levelOrder(_ root: TreeNode?) -> [[Int]] {
     var res = [[Int]]()
@@ -454,7 +482,31 @@ var levelOrderBottom = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+function levelOrderBottom(root: TreeNode | null): number[][] {
+    let helperQueue: TreeNode[] = [];
+    let resArr: number[][] = [];
+    let tempArr: number[] = [];
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            tempArr.push(tempNode.val);
+            if (tempNode.left !== null) helperQueue.push(tempNode.left);
+            if (tempNode.right !== null) helperQueue.push(tempNode.right);
+        }
+        resArr.push(tempArr);
+        tempArr = [];
+    }
+    return resArr.reverse();
+};
+```
+
 Swift:
+
 ```swift
 func levelOrderBottom(_ root: TreeNode?) -> [[Int]] {
     var res =  [[Int]]()

From e177bca526cd33ff4dce70b188f2214598941b0e Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Thu, 27 Jan 2022 22:35:30 +0800
Subject: [PATCH 19/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88199.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E5=8F=B3=E8=A7=86=E5=9B=BE=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)

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 b108c8f0..18e19227 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
@@ -709,7 +709,28 @@ var rightSideView = function(root) {
 };
 ```
 
+TypeScript：
+
+```typescript
+function rightSideView(root: TreeNode | null): number[] {
+    let helperQueue: TreeNode[] = [];
+    let resArr: number[] = [];
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (i === length - 1) resArr.push(tempNode.val);
+            if (tempNode.left !== null) helperQueue.push(tempNode.left);
+            if (tempNode.right !== null) helperQueue.push(tempNode.right);
+        }
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 ```swift
 func rightSideView(_ root: TreeNode?) -> [Int] {
     var res = [Int]()

From daf710bde6eb82f2c5b2a87254ca9860d79af80e Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 11:32:57 +0800
Subject: [PATCH 20/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88637.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E5=B1=82=E5=B9=B3=E5=9D=87=E5=80=BC?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 25 +++++++++++++++++++++++
 1 file changed, 25 insertions(+)

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 18e19227..9ff4f2e9 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
@@ -941,7 +941,32 @@ var averageOfLevels = function(root) {
 };
 ```
 
+TypeScript：
+
+```typescript
+function averageOfLevels(root: TreeNode | null): number[] {
+    let helperQueue: TreeNode[] = [];
+    let resArr: number[] = [];
+    let total: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        let length = helperQueue.length;
+        for (let i = 0; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            total += tempNode.val;
+            if (tempNode.left) helperQueue.push(tempNode.left);
+            if (tempNode.right) helperQueue.push(tempNode.right);
+        }
+        resArr.push(total / length);
+        total = 0;
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 ```swift
 func averageOfLevels(_ root: TreeNode?) -> [Double] {
     var res = [Double]()

From 2862d47368512a9cbc7e7184775d99d8e53f72df Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 11:44:49 +0800
Subject: [PATCH 21/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88429.N=E5=8F=89?=
 =?UTF-8?q?=E6=A0=91=E7=9A=84=E5=B1=82=E5=BA=8F=E9=81=8D=E5=8E=86=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 23 +++++++++++++++++++++++
 1 file changed, 23 insertions(+)

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 9ff4f2e9..5dd448b7 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
@@ -1190,7 +1190,30 @@ var levelOrder = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+function levelOrder(root: Node | null): number[][] {
+    let helperQueue: Node[] = [];
+    let resArr: number[][] = [];
+    let tempArr: number[] = [];
+    if (root !== null) helperQueue.push(root);
+    let curNode: Node;
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            curNode = helperQueue.shift()!;
+            tempArr.push(curNode.val);
+            helperQueue.push(...curNode.children);
+        }
+        resArr.push(tempArr);
+        tempArr = [];
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 ```swift
 func levelOrder(_ root: Node?) -> [[Int]] {
     var res = [[Int]]()

From 9329ecff5e95e5bc1e8cb17fbba1135765fd3286 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 12:02:15 +0800
Subject: [PATCH 22/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88515.=E5=9C=A8?=
 =?UTF-8?q?=E6=AF=8F=E4=B8=AA=E6=A0=91=E8=A1=8C=E4=B8=AD=E6=89=BE=E6=9C=80?=
 =?UTF-8?q?=E5=A4=A7=E5=80=BC=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescrip?=
 =?UTF-8?q?t=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 27 +++++++++++++++++++++++
 1 file changed, 27 insertions(+)

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 5dd448b7..6f90cb75 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
@@ -1393,7 +1393,34 @@ var largestValues = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+function largestValues(root: TreeNode | null): number[] {
+    let helperQueue: TreeNode[] = [];
+    let resArr: number[] = [];
+    let tempNode: TreeNode;
+    let max: number = 0;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (i === 0) {
+                max = tempNode.val;
+            } else {
+                max = max > tempNode.val ? max : tempNode.val;
+            }
+            if (tempNode.left) helperQueue.push(tempNode.left);
+            if (tempNode.right) helperQueue.push(tempNode.right);
+        }
+        resArr.push(max);
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 ```swift
 func largestValues(_ root: TreeNode?) -> [Int] {
     var res = [Int]()

From 992cd6d7f3bc2b0065bf8f3f3ff064a13c66dde3 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 16:10:56 +0800
Subject: [PATCH 23/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88116.=E5=A1=AB?=
 =?UTF-8?q?=E5=85=85=E6=AF=8F=E4=B8=AA=E8=8A=82=E7=82=B9=E7=9A=84=E4=B8=8B?=
 =?UTF-8?q?=E4=B8=80=E4=B8=AA=E5=8F=B3=E4=BE=A7=E8=8A=82=E7=82=B9=E6=8C=87?=
 =?UTF-8?q?=E9=92=88=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript?=
 =?UTF-8?q?=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 25 +++++++++++++++++++++++
 1 file changed, 25 insertions(+)

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 6f90cb75..12f96469 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
@@ -1611,6 +1611,31 @@ var connect = function(root) {
 };
 
 ```
+TypeScript:
+
+```typescript
+function connect(root: Node | null): Node | null {
+    let helperQueue: Node[] = [];
+    let preNode: Node, curNode: Node;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            if (i === 0) {
+                preNode = helperQueue.shift()!;
+            } else {
+                curNode = helperQueue.shift()!;
+                preNode.next = curNode;
+                preNode = curNode;
+            }
+            if (preNode.left) helperQueue.push(preNode.left);
+            if (preNode.right) helperQueue.push(preNode.right);
+        }
+        preNode.next = null;
+    }
+    return root;
+};
+```
+
 go:
 
 ```GO

From d1abb0cbb4397a950479788497e3ec21adbcea22 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 16:21:25 +0800
Subject: [PATCH 24/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88117.=E5=A1=AB?=
 =?UTF-8?q?=E5=85=85=E6=AF=8F=E4=B8=AA=E8=8A=82=E7=82=B9=E7=9A=84=E4=B8=8B?=
 =?UTF-8?q?=E4=B8=80=E4=B8=AA=E5=8F=B3=E4=BE=A7=E8=8A=82=E7=82=B9=E6=8C=87?=
 =?UTF-8?q?=E9=92=88II=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript?=
 =?UTF-8?q?=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 25 +++++++++++++++++++++++
 1 file changed, 25 insertions(+)

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 12f96469..a7716d92 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
@@ -1862,6 +1862,31 @@ var connect = function(root) {
     return root;
 };
 ```
+TypeScript:
+
+```typescript
+function connect(root: Node | null): Node | null {
+    let helperQueue: Node[] = [];
+    let preNode: Node, curNode: Node;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            if (i === 0) {
+                preNode = helperQueue.shift()!;
+            } else {
+                curNode = helperQueue.shift()!;
+                preNode.next = curNode;
+                preNode = curNode;
+            }
+            if (preNode.left) helperQueue.push(preNode.left);
+            if (preNode.right) helperQueue.push(preNode.right);
+        }
+        preNode.next = null;
+    }
+    return root;
+};
+```
+
 go:
 
 ```GO

From bdb0954e32976832b9bd99dd2dcb2744d55e665b Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 17:11:11 +0800
Subject: [PATCH 25/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88104.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E6=9C=80=E5=A4=A7=E6=B7=B1=E5=BA=A6?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)

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 a7716d92..9ac23fdf 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
@@ -2131,7 +2131,28 @@ var maxDepth = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+function maxDepth(root: TreeNode | null): number {
+    let helperQueue: TreeNode[] = [];
+    let resDepth: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        resDepth++;
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (tempNode.left) helperQueue.push(tempNode.left);
+            if (tempNode.right) helperQueue.push(tempNode.right);
+        }
+    }
+    return resDepth;
+};
+```
+
 Swift:
+
 ```swift
 func maxDepth(_ root: TreeNode?) -> Int {
     guard let root = root else {

From 626db3fc67ba0a478f39331c4788bca15314a720 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Fri, 28 Jan 2022 20:33:04 +0800
Subject: [PATCH 26/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88111.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E6=9C=80=E5=B0=8F=E6=B7=B1=E5=BA=A6?=
 =?UTF-8?q?=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0102.二叉树的层序遍历.md | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)

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 9ac23fdf..1a92d42f 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
@@ -2349,7 +2349,29 @@ var minDepth = function(root) {
 };
 ```
 
+TypeScript:
+
+```typescript
+function minDepth(root: TreeNode | null): number {
+    let helperQueue: TreeNode[] = [];
+    let resMin: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        resMin++;
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (tempNode.left === null && tempNode.right === null) return resMin;
+            if (tempNode.left !== null) helperQueue.push(tempNode.left);
+            if (tempNode.right !== null) helperQueue.push(tempNode.right);
+        }
+    }
+    return resMin;
+};
+```
+
 Swift：
+
 ```swift
 func minDepth(_ root: TreeNode?) -> Int {
     guard let root = root else {

From 653d645dabd54c9b2d94afc27dc3cb308f82b519 Mon Sep 17 00:00:00 2001
From: Younglesszzz <571688981@qq.com>
Date: Sat, 29 Jan 2022 13:29:28 +0800
Subject: [PATCH 27/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=BA=86=E4=BA=8C?=
 =?UTF-8?q?=E7=BB=B4=E6=95=B0=E7=BB=84=E7=89=88=E6=9C=AC=EF=BC=8C=E7=9B=B8?=
 =?UTF-8?q?=E6=AF=94=E4=BA=8E=E4=B8=80=E7=BB=B4=E5=A5=BD=E7=90=86=E8=A7=A3?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../1049.最后一块石头的重量II.md     | 37 +++++++++++++++++++
 1 file changed, 37 insertions(+)

diff --git a/problems/1049.最后一块石头的重量II.md b/problems/1049.最后一块石头的重量II.md
index d64e7e56..7b67b1ac 100644
--- a/problems/1049.最后一块石头的重量II.md
+++ b/problems/1049.最后一块石头的重量II.md
@@ -153,6 +153,8 @@ public:
 
 
 Java：
+
+一维数组版本
 ```Java
 class Solution {
     public int lastStoneWeightII(int[] stones) {
@@ -173,6 +175,41 @@ class Solution {
         return sum - 2 * dp[target];
     }
 }
+```
+二维数组版本（便于理解）
+```Java
+class Solution {
+    public int lastStoneWeightII(int[] stones) {
+        int sum = 0;
+        for (int s : stones) {
+            sum += s;
+        }
+
+        int target = sum / 2;
+        //初始化，dp[i][j]为可以放0-i物品，背包容量为j的情况下背包中的最大价值
+        int[][] dp = new int[stones.length][target + 1];
+        //dp[i][0]默认初始化为0
+        //dp[0][j]取决于stones[0]
+        for (int j = stones[0]; j <= target; j++) {
+            dp[0][j] = stones[0];
+        }
+
+        for (int i = 1; i < stones.length; i++) {
+            for (int j = 1; j <= target; j++) {//注意是等于
+                if (j >= stones[i]) {
+                    //不放:dp[i - 1][j] 放:dp[i - 1][j - stones[i]] + stones[i]
+                    dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - stones[i]] + stones[i]);
+                } else {
+                    dp[i][j] = dp[i - 1][j];
+                }
+            }
+        }
+
+        System.out.println(dp[stones.length - 1][target]);
+        return (sum - dp[stones.length - 1][target]) - dp[stones.length - 1][target];
+    }
+}
+
 ```
 
 Python：

From b1c3d5c4f9db71676ebc44f9c41a10778dfea1c5 Mon Sep 17 00:00:00 2001
From: Younglesszzz <571688981@qq.com>
Date: Sat, 29 Jan 2022 13:39:27 +0800
Subject: [PATCH 28/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=BA=86=E4=BA=8C?=
 =?UTF-8?q?=E7=BB=B4=E6=95=B0=E7=BB=84=E7=89=88=E6=9C=AC=EF=BC=8C=E7=9B=B8?=
 =?UTF-8?q?=E6=AF=94=E4=BA=8E=E4=B8=80=E7=BB=B4=E5=A5=BD=E7=90=86=E8=A7=A3?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0416.分割等和子集.md | 39 +++++++++++++++++++++++++++++
 1 file changed, 39 insertions(+)

diff --git a/problems/0416.分割等和子集.md b/problems/0416.分割等和子集.md
index 45b8b416..9da1f8d5 100644
--- a/problems/0416.分割等和子集.md
+++ b/problems/0416.分割等和子集.md
@@ -210,6 +210,45 @@ class Solution {
 }
 ```
 
+二维数组版本（易于理解）：
+```Java
+class Solution {
+    public boolean canPartition(int[] nums) {
+        int sum = 0;
+        for (int i = 0; i < nums.length; i++) {
+            sum += nums[i];
+        }
+
+        if (sum % 2 == 1)
+            return false;
+        int target = sum / 2;
+
+        //dp[i][j]代表可装物品为0-i，背包容量为j的情况下，背包内容量的最大价值
+        int[][] dp = new int[nums.length][target + 1];
+
+        //初始化,dp[0][j]的最大价值nums[0](if j > weight[i])
+        //dp[i][0]均为0，不用初始化
+        for (int j = nums[0]; j <= target; j++) {
+            dp[0][j] = nums[0];
+        }
+
+        //遍历物品，遍历背包
+        //递推公式:
+        for (int i = 1; i < nums.length; i++) {
+            for (int j = 0; j <= target; j++) {
+                //背包容量可以容纳nums[i]
+                if (j >= nums[i]) {
+                    dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - nums[i]] + nums[i]);
+                } else {
+                    dp[i][j] = dp[i - 1][j];
+                }
+            }
+        }
+
+        return dp[nums.length - 1][target] == target;
+    }
+}
+```
 Python：
 ```python
 class Solution:

From be3f2cfc8a6e0abc3fbbefb3d7d2967b686e96e2 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Sat, 29 Jan 2022 22:12:49 +0800
Subject: [PATCH 29/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880226.=E7=BF=BB?=
 =?UTF-8?q?=E8=BD=AC=E4=BA=8C=E5=8F=89=E6=A0=91.md=EF=BC=89=EF=BC=9A?=
 =?UTF-8?q?=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0226.翻转二叉树.md | 128 +++++++++++++++++++++++++++++++
 1 file changed, 128 insertions(+)

diff --git a/problems/0226.翻转二叉树.md b/problems/0226.翻转二叉树.md
index e6dbb709..8108e7ad 100644
--- a/problems/0226.翻转二叉树.md
+++ b/problems/0226.翻转二叉树.md
@@ -563,7 +563,135 @@ var invertTree = function(root) {
 };
 ```
 
+### TypeScript：
+
+递归法：
+
+```typescript
+// 递归法（前序遍历）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    if (root === null) return root;
+    let tempNode: TreeNode | null = root.left;
+    root.left = root.right;
+    root.right = tempNode;
+    invertTree(root.left);
+    invertTree(root.right);
+    return root;
+};
+
+// 递归法（后序遍历）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    if (root === null) return root;
+    invertTree(root.left);
+    invertTree(root.right);
+    let tempNode: TreeNode | null = root.left;
+    root.left = root.right;
+    root.right = tempNode;
+    return root;
+};
+
+// 递归法（中序遍历）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    if (root === null) return root;
+    invertTree(root.left);
+    let tempNode: TreeNode | null = root.left;
+    root.left = root.right;
+    root.right = tempNode;
+    // 因为左右节点已经进行交换，此时的root.left 是原先的root.right
+    invertTree(root.left);
+    return root;
+};
+```
+
+迭代法：
+
+```typescript
+// 迭代法（栈模拟前序遍历）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    let helperStack: TreeNode[] = [];
+    let curNode: TreeNode,
+        tempNode: TreeNode | null;
+    if (root !== null) helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop()!;
+        // 入栈操作最好在交换节点之前进行，便于理解
+        if (curNode.right) helperStack.push(curNode.right);
+        if (curNode.left) helperStack.push(curNode.left);
+        tempNode = curNode.left;
+        curNode.left = curNode.right;
+        curNode.right = tempNode;
+    }
+    return root;
+};
+
+// 迭代法（栈模拟中序遍历-统一写法形式）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    let helperStack: (TreeNode | null)[] = [];
+    let curNode: TreeNode | null,
+        tempNode: TreeNode | null;
+    if (root !== null) helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop();
+        if (curNode !== null) {
+            if (curNode.right !== null) helperStack.push(curNode.right);
+            helperStack.push(curNode);
+            helperStack.push(null);
+            if (curNode.left !== null) helperStack.push(curNode.left);
+        } else {
+            curNode = helperStack.pop()!;
+            tempNode = curNode.left;
+            curNode.left = curNode.right;
+            curNode.right = tempNode;
+        }
+    }
+    return root;
+};
+
+// 迭代法（栈模拟后序遍历-统一写法形式）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    let helperStack: (TreeNode | null)[] = [];
+    let curNode: TreeNode | null,
+        tempNode: TreeNode | null;
+    if (root !== null) helperStack.push(root);
+    while (helperStack.length > 0) {
+        curNode = helperStack.pop();
+        if (curNode !== null) {
+            helperStack.push(curNode);
+            helperStack.push(null);
+            if (curNode.right !== null) helperStack.push(curNode.right);
+            if (curNode.left !== null) helperStack.push(curNode.left);
+        } else {
+            curNode = helperStack.pop()!;
+            tempNode = curNode.left;
+            curNode.left = curNode.right;
+            curNode.right = tempNode;
+        }
+    }
+    return root;
+};
+
+// 迭代法（队列模拟层序遍历）
+function invertTree(root: TreeNode | null): TreeNode | null {
+    const helperQueue: TreeNode[] = [];
+    let curNode: TreeNode,
+        tempNode: TreeNode | null;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            curNode = helperQueue.shift()!;
+            tempNode = curNode.left;
+            curNode.left = curNode.right;
+            curNode.right = tempNode;
+            if (curNode.left !== null) helperQueue.push(curNode.left);
+            if (curNode.right !== null) helperQueue.push(curNode.right);
+        }
+    }
+    return root;
+};
+```
+
 ### C:
+
 递归法
 ```c
 struct TreeNode* invertTree(struct TreeNode* root){

From cee8536fa671b635f74edb1f7d296a5f2efc1bde Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Sun, 30 Jan 2022 13:17:47 +0800
Subject: [PATCH 30/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880101.=E5=AF=B9?=
 =?UTF-8?q?=E7=A7=B0=E4=BA=8C=E5=8F=89=E6=A0=91.md=EF=BC=89=EF=BC=9A?=
 =?UTF-8?q?=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0101.对称二叉树.md | 69 ++++++++++++++++++++++++++++++++
 1 file changed, 69 insertions(+)

diff --git a/problems/0101.对称二叉树.md b/problems/0101.对称二叉树.md
index 69bc41d3..e4e232c8 100644
--- a/problems/0101.对称二叉树.md
+++ b/problems/0101.对称二叉树.md
@@ -574,6 +574,75 @@ var isSymmetric = function(root) {
 };
 ```
 
+## TypeScript：
+
+> 递归法
+
+```typescript
+function isSymmetric(root: TreeNode | null): boolean {
+    function recur(node1: TreeNode | null, node2: TreeNode | null): boolean {
+        if (node1 === null && node2 === null) return true;
+        if (node1 === null || node2 === null) return false;
+        if (node1.val !== node2.val) return false
+        let isSym1: boolean = recur(node1.left, node2.right);
+        let isSym2: boolean = recur(node1.right, node2.left);
+        return isSym1 && isSym2
+    }
+    if (root === null) return true;
+    return recur(root.left, root.right);
+};
+```
+
+> 迭代法
+
+```typescript
+// 迭代法(队列)
+function isSymmetric(root: TreeNode | null): boolean {
+    let helperQueue: (TreeNode | null)[] = [];
+    let tempNode1: TreeNode | null,
+        tempNode2: TreeNode | null;
+    if (root !== null) {
+        helperQueue.push(root.left);
+        helperQueue.push(root.right);
+    }
+    while (helperQueue.length > 0) {
+        tempNode1 = helperQueue.shift()!;
+        tempNode2 = helperQueue.shift()!;
+        if (tempNode1 === null && tempNode2 === null) continue;
+        if (tempNode1 === null || tempNode2 === null) return false;
+        if (tempNode1.val !== tempNode2.val) return false;
+        helperQueue.push(tempNode1.left);
+        helperQueue.push(tempNode2.right);
+        helperQueue.push(tempNode1.right);
+        helperQueue.push(tempNode2.left);
+    }
+    return true;
+}
+
+// 迭代法(栈)
+function isSymmetric(root: TreeNode | null): boolean {
+    let helperStack: (TreeNode | null)[] = [];
+    let tempNode1: TreeNode | null,
+        tempNode2: TreeNode | null;
+    if (root !== null) {
+        helperStack.push(root.left);
+        helperStack.push(root.right);
+    }
+    while (helperStack.length > 0) {
+        tempNode1 = helperStack.pop()!;
+        tempNode2 = helperStack.pop()!;
+        if (tempNode1 === null && tempNode2 === null) continue;
+        if (tempNode1 === null || tempNode2 === null) return false;
+        if (tempNode1.val !== tempNode2.val) return false;
+        helperStack.push(tempNode1.left);
+        helperStack.push(tempNode2.right);
+        helperStack.push(tempNode1.right);
+        helperStack.push(tempNode2.left);
+    }
+    return true;
+};
+```
+
 ## Swift:
 
 > 递归

From 067f71cdf03858645ba70c5151a1d26f16d91928 Mon Sep 17 00:00:00 2001
From: zhicheng lee <904688436@qq.com>
Date: Mon, 31 Jan 2022 11:54:59 +0800
Subject: [PATCH 31/52] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20=E8=83=8C=E5=8C=85?=
 =?UTF-8?q?=E9=97=AE=E9=A2=98=E7=90=86=E8=AE=BA=E5=9F=BA=E7=A1=80=E5=AE=8C?=
 =?UTF-8?q?=E5=85=A8=E8=83=8C=E5=8C=85.md=20Java=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

添加注释，去掉一个不必要的if语句
---
 problems/背包问题理论基础完全背包.md | 12 +++++-------
 1 file changed, 5 insertions(+), 7 deletions(-)

diff --git a/problems/背包问题理论基础完全背包.md b/problems/背包问题理论基础完全背包.md
index f79310b8..cea69c72 100644
--- a/problems/背包问题理论基础完全背包.md
+++ b/problems/背包问题理论基础完全背包.md
@@ -183,11 +183,9 @@ private static void testCompletePack(){
     int[] value = {15, 20, 30};
     int bagWeight = 4;
     int[] dp = new int[bagWeight + 1];
-    for (int i = 0; i < weight.length; i++){
-        for (int j = 1; j <= bagWeight; j++){
-            if (j - weight[i] >= 0){
-                dp[j] = Math.max(dp[j], dp[j - weight[i]] + value[i]);
-            }
+    for (int i = 0; i < weight.length; i++){ // 遍历物品
+        for (int j = weight[i]; j <= bagWeight; j++){ // 遍历背包容量
+            dp[j] = Math.max(dp[j], dp[j - weight[i]] + value[i]);
         }
     }
     for (int maxValue : dp){
@@ -201,8 +199,8 @@ private static void testCompletePackAnotherWay(){
     int[] value = {15, 20, 30};
     int bagWeight = 4;
     int[] dp = new int[bagWeight + 1];
-    for (int i = 1; i <= bagWeight; i++){
-        for (int j = 0; j < weight.length; j++){
+    for (int i = 1; i <= bagWeight; i++){ // 遍历背包容量
+        for (int j = 0; j < weight.length; j++){ // 遍历物品
             if (i - weight[j] >= 0){
                 dp[i] = Math.max(dp[i], dp[i - weight[j]] + value[j]);
             }

From 46571a3b9c619ac39c93becab1c1325fe211b545 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 31 Jan 2022 14:51:28 +0800
Subject: [PATCH 32/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880104.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E6=9C=80=E5=A4=A7=E6=B7=B1=E5=BA=A6?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0104.二叉树的最大深度.md | 48 +++++++++++++++++++++++
 1 file changed, 48 insertions(+)

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 7038598b..6875ec74 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
@@ -598,7 +598,55 @@ var maxDepth = function(root) {
 };
 ```
 
+## TypeScript：
+
+> 二叉树的最大深度：
+
+```typescript
+// 后续遍历（自下而上）
+function maxDepth(root: TreeNode | null): number {
+    if (root === null) return 0;
+    return Math.max(maxDepth(root.left), maxDepth(root.right)) + 1;
+};
+
+// 前序遍历(自上而下)
+function maxDepth(root: TreeNode | null): number {
+    function recur(node: TreeNode | null, count: number) {
+        if (node === null) {
+            resMax = resMax > count ? resMax : count;
+            return;
+        }
+        recur(node.left, count + 1);
+        recur(node.right, count + 1);
+    }
+    let resMax: number = 0;
+    let count: number = 0;
+    recur(root, count);
+    return resMax;
+};
+
+// 层序遍历（迭代法）
+function maxDepth(root: TreeNode | null): number {
+    let helperQueue: TreeNode[] = [];
+    let resDepth: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        resDepth++;
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (tempNode.left) helperQueue.push(tempNode.left);
+            if (tempNode.right) helperQueue.push(tempNode.right);
+        }
+    }
+    return resDepth;
+};
+```
+
+
+
 ## C
+
 二叉树最大深度递归
 ```c
 int maxDepth(struct TreeNode* root){

From 463f142f05d5759c8dfaa5f17dbebfa9ddf580f5 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 31 Jan 2022 16:07:01 +0800
Subject: [PATCH 33/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=88559.n=E5=8F=89?=
 =?UTF-8?q?=E6=A0=91=E7=9A=84=E6=9C=80=E5=A4=A7=E6=B7=B1=E5=BA=A6=EF=BC=89?=
 =?UTF-8?q?=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0104.二叉树的最大深度.md | 26 +++++++++++++++++++++++
 1 file changed, 26 insertions(+)

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 6875ec74..3eecdc92 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
@@ -643,7 +643,33 @@ function maxDepth(root: TreeNode | null): number {
 };
 ```
 
+> N叉树的最大深度
 
+```typescript
+// 后续遍历（自下而上）
+function maxDepth(root: TreeNode | null): number {
+    if (root === null) return 0;
+    return Math.max(maxDepth(root.left), maxDepth(root.right)) + 1;
+};
+
+// 前序遍历(自上而下)
+function maxDepth(root: TreeNode | null): number {
+    function recur(node: TreeNode | null, count: number) {
+        if (node === null) {
+            resMax = resMax > count ? resMax : count;
+            return;
+        }
+        recur(node.left, count + 1);
+        recur(node.right, count + 1);
+    }
+    let resMax: number = 0;
+    let count: number = 0;
+    recur(root, count);
+    return resMax;
+};
+
+
+```
 
 ## C
 

From e4f674c61e71a7b33ec97e22acc6b7a44e075b6e Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Tue, 1 Feb 2022 20:04:51 +0800
Subject: [PATCH 34/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880111.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E6=9C=80=E5=B0=8F=E6=B7=B1=E5=BA=A6?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0111.二叉树的最小深度.md | 38 +++++++++++++++++++++++
 1 file changed, 38 insertions(+)

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 a439322a..224caa5e 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
@@ -404,6 +404,44 @@ var minDepth = function(root) {
 };
 ```
 
+## TypeScript
+
+> 递归法
+
+```typescript
+function minDepth(root: TreeNode | null): number {
+    if (root === null) return 0;
+    if (root.left !== null && root.right === null) {
+        return 1 + minDepth(root.left);
+    }
+    if (root.left === null && root.right !== null) {
+        return 1 + minDepth(root.right);
+    }
+    return 1 + Math.min(minDepth(root.left), minDepth(root.right));
+}
+```
+
+> 迭代法
+
+```typescript
+function minDepth(root: TreeNode | null): number {
+    let helperQueue: TreeNode[] = [];
+    let resMin: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        resMin++;
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            if (tempNode.left === null && tempNode.right === null) return resMin;
+            if (tempNode.left !== null) helperQueue.push(tempNode.left);
+            if (tempNode.right !== null) helperQueue.push(tempNode.right);
+        }
+    }
+    return resMin;
+};
+```
+
 ## Swift
 
 > 递归

From 8ac7cdce22a6f350ec57627e474bd482f5d041b3 Mon Sep 17 00:00:00 2001
From: hutbzc <3260189532@qq.com>
Date: Tue, 1 Feb 2022 23:01:36 +0800
Subject: [PATCH 35/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880045.=E8=B7=B3?=
 =?UTF-8?q?=E8=B7=83=E6=B8=B8=E6=88=8FII.md=EF=BC=89=EF=BC=9A=E8=A1=A5?=
 =?UTF-8?q?=E5=85=85Java=E7=89=88=E6=9C=AC2?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0045.跳跃游戏II.md | 24 ++++++++++++++++++++++++
 1 file changed, 24 insertions(+)

diff --git a/problems/0045.跳跃游戏II.md b/problems/0045.跳跃游戏II.md
index a39c064a..7a3f048c 100644
--- a/problems/0045.跳跃游戏II.md
+++ b/problems/0045.跳跃游戏II.md
@@ -142,6 +142,7 @@ public:
 
 ### Java 
 ```Java
+// 版本一
 class Solution {
     public int jump(int[] nums) {
         if (nums == null || nums.length == 0 || nums.length == 1) {
@@ -172,7 +173,30 @@ class Solution {
 }
 ```
 
+```java
+// 版本二
+class Solution {
+    public int jump(int[] nums) {
+        int result = 0;
+        // 当前覆盖的最远距离下标
+        int end = 0;
+        // 下一步覆盖的最远距离下标
+        int temp = 0;
+        for (int i = 0; i <= end && end < nums.length - 1; ++i) {
+            temp = Math.max(temp, i + nums[i]);
+            // 可达位置的改变次数就是跳跃次数
+            if (i == end) {
+                end = temp;
+                result++;
+            }
+        }
+        return result;
+    }
+}
+```
+
 ### Python
+
 ```python
 class Solution:
     def jump(self, nums: List[int]) -> int:

From 40c06155f9e65e3525100ac6aff6f3ce6aeb8dac Mon Sep 17 00:00:00 2001
From: hutbzc <3260189532@qq.com>
Date: Tue, 1 Feb 2022 23:04:07 +0800
Subject: [PATCH 36/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880139.=E5=8D=95?=
 =?UTF-8?q?=E8=AF=8D=E6=8B=86=E5=88=86.md=EF=BC=89=EF=BC=9A=E5=A2=9E?=
 =?UTF-8?q?=E5=8A=A0Java=E5=9B=9E=E5=9B=9E=E6=BA=AF+=E8=AE=B0=E5=BF=86?=
 =?UTF-8?q?=E5=8C=96=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0139.单词拆分.md | 30 ++++++++++++++++++++++++++++++
 1 file changed, 30 insertions(+)

diff --git a/problems/0139.单词拆分.md b/problems/0139.单词拆分.md
index e24ffc1a..1653a81a 100644
--- a/problems/0139.单词拆分.md
+++ b/problems/0139.单词拆分.md
@@ -248,6 +248,36 @@ class Solution {
         return valid[s.length()];
     }
 }
+
+// 回溯法+记忆化
+class Solution {
+    public boolean wordBreak(String s, List<String> wordDict) {
+        Set<String> wordDictSet = new HashSet(wordDict);
+        int[] memory = new int[s.length()];
+        return backTrack(s, wordDictSet, 0, memory);
+    }
+    
+    public boolean backTrack(String s, Set<String> wordDictSet, int startIndex, int[] memory) {
+        // 结束条件
+        if (startIndex >= s.length()) {
+            return true;
+        }
+        if (memory[startIndex] != 0) {
+            // 此处认为：memory[i] = 1 表示可以拼出i 及以后的字符子串， memory[i] = -1 表示不能
+            return memory[startIndex] == 1 ? true : false;
+        }
+        for (int i = startIndex; i < s.length(); ++i) {
+            // 处理 递归 回溯       循环不变量：[startIndex, i + 1)
+            String word = s.substring(startIndex, i + 1);
+            if (wordDictSet.contains(word) && backTrack(s, wordDictSet, i + 1, memory)) {
+                memory[startIndex] = 1;
+                return true;
+            }
+        }
+        memory[startIndex] = -1;
+        return false;
+    }
+}
 ```
 
 Python：

From 5a2ff02b94d417a7a51d44998e212913afeba48b Mon Sep 17 00:00:00 2001
From: hutbzc <3260189532@qq.com>
Date: Tue, 1 Feb 2022 23:08:56 +0800
Subject: [PATCH 37/52] =?UTF-8?q?=E4=BF=AE=E6=94=B9=EF=BC=880376.=E6=91=86?=
 =?UTF-8?q?=E5=8A=A8=E5=BA=8F=E5=88=97.md=EF=BC=89=EF=BC=9A=E4=BF=AE?=
 =?UTF-8?q?=E6=94=B9=E4=BA=86=E9=80=BB=E8=BE=91=E5=B0=8F=E9=94=99=E8=AF=AF?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0376.摆动序列.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/problems/0376.摆动序列.md b/problems/0376.摆动序列.md
index 2bc23182..d75311eb 100644
--- a/problems/0376.摆动序列.md
+++ b/problems/0376.摆动序列.md
@@ -174,7 +174,7 @@ public:
 ```Java
 class Solution {
     public int wiggleMaxLength(int[] nums) {
-        if (nums == null || nums.length <= 1) {
+        if (nums.length <= 1) {
             return nums.length;
         }
         //当前差值

From 2f1c56e6dd34a5a8ae89a8401219a0ce2dd623f3 Mon Sep 17 00:00:00 2001
From: Xiaofei-fei <xiaofei_66@icloud.com>
Date: Wed, 2 Feb 2022 18:47:01 +0800
Subject: [PATCH 38/52] =?UTF-8?q?494=E9=A2=98python=E4=BB=A3=E7=A0=81?=
 =?UTF-8?q?=E4=BF=AE=E6=AD=A3?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .DS_Store                  | Bin 0 -> 8196 bytes
 problems/0494.目标和.md |   3 ++-
 2 files changed, 2 insertions(+), 1 deletion(-)
 create mode 100644 .DS_Store

diff --git a/.DS_Store b/.DS_Store
new file mode 100644
index 0000000000000000000000000000000000000000..7794435bd6714aed6095604325ab6ffe84221748
GIT binary patch
literal 8196
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zu&z*-$r>?ej;P+Hu9USFMJo{1s>o{MrL0MQRb3mYRkWn6<%w!lWTPT$5S7j9R?b5$
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zhR5*)p2jnH7SG`<q5fsOf>$w)*YO6S|2@2qi-i7<@G-u?1it6^4^W#!bE~N5N?f6*
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zJ4*K<y7|TJ#)R};sNg2N-9L_#oczO(o}+;-7RWInNki8S{~<tpW{3N~8t(rDzsaxJ
ITW$aU2asrXpa1{>

literal 0
HcmV?d00001

diff --git a/problems/0494.目标和.md b/problems/0494.目标和.md
index 0faef4a5..f190b734 100644
--- a/problems/0494.目标和.md
+++ b/problems/0494.目标和.md
@@ -272,7 +272,8 @@ Python：
 class Solution:
     def findTargetSumWays(self, nums: List[int], target: int) -> int:
         sumValue = sum(nums)
-        if target > sumValue or (sumValue + target) % 2 == 1: return 0
+        #注意边界条件为 target>sumValue or target<-sumValue or  (sumValue + target) % 2 == 1
+        if abs(target) > sumValue or (sumValue + target) % 2 == 1: return 0
         bagSize = (sumValue + target) // 2
         dp = [0] * (bagSize + 1)
         dp[0] = 1

From 38c8b6849f32b47d59fc9ed5d1b394dda745b277 Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Thu, 3 Feb 2022 20:03:43 +0800
Subject: [PATCH 39/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880222.=E5=AE=8C?=
 =?UTF-8?q?=E5=85=A8=E4=BA=8C=E5=8F=89=E6=A0=91=E7=9A=84=E8=8A=82=E7=82=B9?=
 =?UTF-8?q?=E4=B8=AA=E6=95=B0.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typesc?=
 =?UTF-8?q?ript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../0222.完全二叉树的节点个数.md    | 60 ++++++++++++++++++-
 1 file changed, 58 insertions(+), 2 deletions(-)

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 8d38bace..ffbc32ff 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
@@ -447,7 +447,63 @@ var countNodes = function(root) {
 };
 ```
 
+## TypeScrpt:
+
+> 递归法
+
+```typescript
+function countNodes(root: TreeNode | null): number {
+    if (root === null) return 0;
+    return 1 + countNodes(root.left) + countNodes(root.right);
+};
+```
+
+> 迭代法
+
+```typescript
+function countNodes(root: TreeNode | null): number {
+    let helperQueue: TreeNode[] = [];
+    let resCount: number = 0;
+    let tempNode: TreeNode;
+    if (root !== null) helperQueue.push(root);
+    while (helperQueue.length > 0) {
+        for (let i = 0, length = helperQueue.length; i < length; i++) {
+            tempNode = helperQueue.shift()!;
+            resCount++;
+            if (tempNode.left) helperQueue.push(tempNode.left);
+            if (tempNode.right) helperQueue.push(tempNode.right);
+        }
+    }
+    return resCount;
+};
+```
+
+> 利用完全二叉树性质
+
+```typescript
+function countNodes(root: TreeNode | null): number {
+    if (root === null) return 0;
+    let left: number = 0,
+        right: number = 0;
+    let curNode: TreeNode | null= root;
+    while (curNode !== null) {
+        left++;
+        curNode = curNode.left;
+    }
+    curNode = root;
+    while (curNode !== null) {
+        right++;
+        curNode = curNode.right;
+    }
+    if (left === right) {
+        return 2 ** left - 1;
+    }
+    return 1 + countNodes(root.left) + countNodes(root.right);
+};
+```
+
 ## C:
+
 递归法
 ```c
 int countNodes(struct TreeNode* root) {
@@ -538,7 +594,7 @@ func _countNodes(_ root: TreeNode?) -> Int {
     return 1 + leftCount + rightCount
 }
 ```
-  
+
 > 层序遍历
 ```Swift
 func countNodes(_ root: TreeNode?) -> Int {
@@ -564,7 +620,7 @@ func countNodes(_ root: TreeNode?) -> Int {
     return res
 }
 ```
-  
+
 > 利用完全二叉树性质
 ```Swift
 func countNodes(_ root: TreeNode?) -> Int {

From ea5a011d783073dc0f98bd5d0a0130c97a02153c Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Sat, 5 Feb 2022 13:04:38 +0800
Subject: [PATCH 40/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880110.=E5=B9=B3?=
 =?UTF-8?q?=E8=A1=A1=E4=BA=8C=E5=8F=89=E6=A0=91.md=EF=BC=89=EF=BC=9A?=
 =?UTF-8?q?=E5=A2=9E=E5=8A=A0typescript=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0110.平衡二叉树.md | 19 +++++++++++++++++++
 1 file changed, 19 insertions(+)

diff --git a/problems/0110.平衡二叉树.md b/problems/0110.平衡二叉树.md
index 9d43407a..8a701bb3 100644
--- a/problems/0110.平衡二叉树.md
+++ b/problems/0110.平衡二叉树.md
@@ -627,7 +627,26 @@ var isBalanced = function(root) {
 };
 ```
 
+## TypeScript
+
+```typescript
+// 递归法
+function isBalanced(root: TreeNode | null): boolean {
+    function getDepth(root: TreeNode | null): number {
+        if (root === null) return 0;
+        let leftDepth: number = getDepth(root.left);
+        if (leftDepth === -1) return -1;
+        let rightDepth: number = getDepth(root.right);
+        if (rightDepth === -1) return -1;
+        if (Math.abs(leftDepth - rightDepth) > 1) return -1;
+        return 1 + Math.max(leftDepth, rightDepth);
+    }
+    return getDepth(root) !== -1;
+};
+```
+
 ## C
+
 递归法：
 ```c
 int getDepth(struct TreeNode* node) {

From f9e5bce7d7b8b53d266ba082036677b30d092696 Mon Sep 17 00:00:00 2001
From: jobinben <1021137079@qq.com>
Date: Sun, 6 Feb 2022 18:36:14 +0800
Subject: [PATCH 41/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=20=E9=9D=A2=E8=AF=95?=
 =?UTF-8?q?=E9=A2=9802.07.=E9=93=BE=E8=A1=A8=E7=9B=B8=E4=BA=A4.md=20JavaSc?=
 =?UTF-8?q?ript=E8=AF=AD=E8=A8=80=E8=A7=A3=E6=B3=95=E7=9A=84=E6=B3=A8?=
 =?UTF-8?q?=E9=87=8A?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/面试题02.07.链表相交.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/problems/面试题02.07.链表相交.md b/problems/面试题02.07.链表相交.md
index dd91f069..2e7226de 100644
--- a/problems/面试题02.07.链表相交.md
+++ b/problems/面试题02.07.链表相交.md
@@ -224,12 +224,14 @@ var getIntersectionNode = function(headA, headB) {
         lenA = getListLen(headA),
         lenB = getListLen(headB);
     if(lenA < lenB) {
+        // 下面交换变量注意加 “分号” ，两个数组交换变量在同一个作用域下时
+        // 如果不加分号，下面两条代码等同于一条代码: [curA, curB] = [lenB, lenA]
         [curA, curB] = [curB, curA];
         [lenA, lenB] = [lenB, lenA];
     }
     let i = lenA - lenB;
     while(i-- > 0) {
-        curA = curA.next
+        curA = curA.next;
     }
     while(curA && curA !== curB) {
         curA = curA.next;

From 343ddb37f9e84284ff8df34f89bed18522244e43 Mon Sep 17 00:00:00 2001
From: bqlin <bqlins@163.com>
Date: Mon, 20 Dec 2021 20:13:42 +0800
Subject: [PATCH 42/52] =?UTF-8?q?1047.=E5=88=A0=E9=99=A4=E5=AD=97=E7=AC=A6?=
 =?UTF-8?q?=E4=B8=B2=E4=B8=AD=E7=9A=84=E6=89=80=E6=9C=89=E7=9B=B8=E9=82=BB?=
 =?UTF-8?q?=E9=87=8D=E5=A4=8D=E9=A1=B9=EF=BC=9A=E4=BC=98=E5=8C=96Swift?=
 =?UTF-8?q?=E7=89=88=E6=9C=AC=E5=AE=9E=E7=8E=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../1047.删除字符串中的所有相邻重复项.md | 10 ++++------
 1 file changed, 4 insertions(+), 6 deletions(-)

diff --git a/problems/1047.删除字符串中的所有相邻重复项.md b/problems/1047.删除字符串中的所有相邻重复项.md
index d6eefd07..9309aed8 100644
--- a/problems/1047.删除字符串中的所有相邻重复项.md
+++ b/problems/1047.删除字符串中的所有相邻重复项.md
@@ -322,14 +322,12 @@ char * removeDuplicates(char * s){
 Swift：
 ```swift
 func removeDuplicates(_ s: String) -> String {
-    let array = Array(s)
     var stack = [Character]()
-    for c in array {
-        let last: Character? = stack.last
-        if stack.isEmpty || last != c {
-            stack.append(c)
-        } else {
+    for c in s {
+        if stack.last == c {
             stack.removeLast()
+        } else {
+            stack.append(c)
         }
     }
     return String(stack)

From 2aa31ce54bcb186376a1341d8ef91282a8db4c6f Mon Sep 17 00:00:00 2001
From: bqlin <bqlins@163.com>
Date: Mon, 20 Dec 2021 21:42:07 +0800
Subject: [PATCH 43/52] =?UTF-8?q?0239.=E6=BB=91=E5=8A=A8=E7=AA=97=E5=8F=A3?=
 =?UTF-8?q?=E6=9C=80=E5=A4=A7=E5=80=BC=EF=BC=9A=E4=BC=98=E5=8C=96=E6=8E=92?=
 =?UTF-8?q?=E7=89=88=EF=BC=8C=E8=A1=A5=E5=85=85Swift=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0239.滑动窗口最大值.md | 36 +++++++++++++++++++++++++-
 1 file changed, 35 insertions(+), 1 deletion(-)

diff --git a/problems/0239.滑动窗口最大值.md b/problems/0239.滑动窗口最大值.md
index d9788f63..d7a94b5a 100644
--- a/problems/0239.滑动窗口最大值.md
+++ b/problems/0239.滑动窗口最大值.md
@@ -45,7 +45,7 @@
 
 这个队列应该长这个样子：
 
-```
+```cpp
 class MyQueue {
 public:
     void pop(int value) {
@@ -525,5 +525,39 @@ class Solution {
 }
 ```
 
+Swift解法二：
+
+```swift
+func maxSlidingWindow(_ nums: [Int], _ k: Int) -> [Int] {
+    var result = [Int]()
+    var window = [Int]()
+    var right = 0, left = right - k + 1
+
+    while right < nums.count {
+        let value = nums[right]
+
+        // 因为窗口移动丢弃的左边数
+        if left > 0, left - 1 == window.first {
+            window.removeFirst()
+        }
+
+        // 保证末尾的是最大的
+        while !window.isEmpty, value > nums[window.last!] {
+            window.removeLast()
+        }
+        window.append(right)
+
+        if left >= 0 { // 窗口形成
+            result.append(nums[window.first!])
+        }
+
+        right += 1
+        left += 1
+    }
+
+    return result
+}
+```
+
 -----------------------
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码一.jpg width=500> </img></div>

From 40dc0d5e65fc36833c9d3fc77bba45606e83f739 Mon Sep 17 00:00:00 2001
From: bqlin <bqlins@163.com>
Date: Mon, 20 Dec 2021 21:48:45 +0800
Subject: [PATCH 44/52] =?UTF-8?q?=E6=A0=88=E4=B8=8E=E9=98=9F=E5=88=97?=
 =?UTF-8?q?=E6=80=BB=E7=BB=93=EF=BC=9A=E4=BC=98=E5=8C=96=E6=8E=92=E7=89=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/栈与队列总结.md | 17 -----------------
 1 file changed, 17 deletions(-)

diff --git a/problems/栈与队列总结.md b/problems/栈与队列总结.md
index 8ec96a29..15093ca7 100644
--- a/problems/栈与队列总结.md
+++ b/problems/栈与队列总结.md
@@ -158,22 +158,5 @@ cd a/b/c/../../
 好了，栈与队列我们就总结到这里了，接下来Carl就要带大家开启新的篇章了，大家加油！
 
 
-
-
-
-## 其他语言版本
-
-
-Java：
-
-
-Python：
-
-
-Go：
-
-
-
-
 -----------------------
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码一.jpg width=500> </img></div>

From c88aee12e53a301ede5ed3fa81023d98c1ce009b Mon Sep 17 00:00:00 2001
From: bqlin <bqlins@163.com>
Date: Tue, 21 Dec 2021 11:29:56 +0800
Subject: [PATCH 45/52] =?UTF-8?q?=E4=BA=8C=E5=8F=89=E6=A0=91=E7=90=86?=
 =?UTF-8?q?=E8=AE=BA=E5=9F=BA=E7=A1=80=EF=BC=9A=E4=BC=98=E5=8C=96=E6=8E=92?=
 =?UTF-8?q?=E7=89=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树理论基础.md | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/problems/二叉树理论基础.md b/problems/二叉树理论基础.md
index cc899850..c5dd118b 100644
--- a/problems/二叉树理论基础.md
+++ b/problems/二叉树理论基础.md
@@ -154,7 +154,7 @@
 
 C++代码如下：
 
-```
+```cpp
 struct TreeNode {
     int val;
     TreeNode *left;
@@ -163,7 +163,7 @@ struct TreeNode {
 };
 ```
 
-大家会发现二叉树的定义 和链表是差不多的，相对于链表 ，二叉树的节点里多了一个指针， 有两个指针，指向左右孩子.
+大家会发现二叉树的定义 和链表是差不多的，相对于链表 ，二叉树的节点里多了一个指针， 有两个指针，指向左右孩子。
 
 这里要提醒大家要注意二叉树节点定义的书写方式。
 
@@ -177,7 +177,7 @@ struct TreeNode {
 
 本篇我们介绍了二叉树的种类、存储方式、遍历方式以及定义，比较全面的介绍了二叉树各个方面的重点，帮助大家扫一遍基础。
 
-**说道二叉树，就不得不说递归，很多同学对递归都是又熟悉又陌生，递归的代码一般很简短，但每次都是一看就会，一写就废。**
+**说到二叉树，就不得不说递归，很多同学对递归都是又熟悉又陌生，递归的代码一般很简短，但每次都是一看就会，一写就废。**
 
 ## 其他语言版本
 

From be6c45c636556b1c0d3838f265fe7830ca4f00ff Mon Sep 17 00:00:00 2001
From: jobinben <1021137079@qq.com>
Date: Sun, 6 Feb 2022 19:06:51 +0800
Subject: [PATCH 46/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=200110.=E5=B9=B3?=
 =?UTF-8?q?=E8=A1=A1=E4=BA=8C=E5=8F=89=E6=A0=91.md=20JavaScript=E8=AF=AD?=
 =?UTF-8?q?=E8=A8=80=E7=89=88=E6=9C=AC=E7=9A=84=E8=BF=AD=E4=BB=A3=E8=A7=A3?=
 =?UTF-8?q?=E6=B3=95?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0110.平衡二叉树.md | 45 +++++++++++++++++++++++++++++++-
 1 file changed, 44 insertions(+), 1 deletion(-)

diff --git a/problems/0110.平衡二叉树.md b/problems/0110.平衡二叉树.md
index 9d43407a..8a11c013 100644
--- a/problems/0110.平衡二叉树.md
+++ b/problems/0110.平衡二叉树.md
@@ -604,7 +604,8 @@ func abs(a int)int{
 }
 ```
 
-## JavaScript 
+## JavaScript
+递归法： 
 ```javascript
 var isBalanced = function(root) {
     //还是用递归三部曲 + 后序遍历 左右中 当前左子树右子树高度相差大于1就返回-1
@@ -627,6 +628,48 @@ var isBalanced = function(root) {
 };
 ```
 
+迭代法：
+```javascript
+// 获取当前节点的高度
+var getHeight = function (curNode) {
+    let queue = [];
+    if (curNode !== null) queue.push(curNode); // 压入当前元素
+    let depth = 0, res = 0;
+    while (queue.length) {
+        let node = queue[queue.length - 1]; // 取出栈顶
+        if (node !== null) {
+            queue.pop();
+            queue.push(node);   // 中
+            queue.push(null);
+            depth++;
+            node.right && queue.push(node.right);   // 右
+            node.left && queue.push(node.left);     // 左
+        } else {
+            queue.pop();
+            node = queue[queue.length - 1];
+            queue.pop();
+            depth--;
+        }
+        res = res > depth ? res : depth;
+    }
+    return res;
+}
+var isBalanced = function (root) {
+    if (root === null) return true;
+    let queue = [root];
+    while (queue.length) {
+        let node = queue[queue.length - 1]; // 取出栈顶
+        queue.pop();    
+        if (Math.abs(getHeight(node.left) - getHeight(node.right)) > 1) {
+            return false;
+        }
+        node.right && queue.push(node.right);
+        node.left && queue.push(node.left);
+    }
+    return true;
+};
+```
+
 ## C
 递归法：
 ```c

From f1a3fbc78851c01bb2b97cf004c85b3d15f41970 Mon Sep 17 00:00:00 2001
From: Anmizi <1845513904@qq.com>
Date: Sun, 6 Feb 2022 23:33:11 +0800
Subject: [PATCH 47/52] =?UTF-8?q?Update=200110.=E5=B9=B3=E8=A1=A1=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91.md?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

修改原有JS版本代码问题
---
 problems/0110.平衡二叉树.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/problems/0110.平衡二叉树.md b/problems/0110.平衡二叉树.md
index 9d43407a..313aeff2 100644
--- a/problems/0110.平衡二叉树.md
+++ b/problems/0110.平衡二叉树.md
@@ -614,8 +614,10 @@ var isBalanced = function(root) {
         if(node === null) return 0;
         // 3. 确定单层递归逻辑
         let leftDepth = getDepth(node.left); //左子树高度
-        let rightDepth = getDepth(node.right); //右子树高度
+        // 当判定左子树不为平衡二叉树时,即可直接返回-1
         if(leftDepth === -1) return -1;
+        let rightDepth = getDepth(node.right); //右子树高度
+        // 当判定右子树不为平衡二叉树时,即可直接返回-1
         if(rightDepth === -1) return -1;
         if(Math.abs(leftDepth - rightDepth) > 1) {
             return -1;

From 8ce87963e5fe7e74657109d71c80ce3ce3b07da6 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9E=81=E5=AE=A2=E5=AD=A6=E4=BC=9F?= <qxuewei@yeah.net>
Date: Mon, 7 Feb 2022 13:29:05 +0800
Subject: [PATCH 48/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=20=E4=BA=8C=E5=8F=89?=
 =?UTF-8?q?=E6=A0=91=EF=BC=9A=E4=BB=A5=E4=B8=BA=E4=BD=BF=E7=94=A8=E4=BA=86?=
 =?UTF-8?q?=E9=80=92=E5=BD=92=EF=BC=8C=E5=85=B6=E5=AE=9E=E8=BF=98=E9=9A=90?=
 =?UTF-8?q?=E8=97=8F=E7=9D=80=E5=9B=9E=E6=BA=AF=20Swift=E7=89=88=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/二叉树中递归带着回溯.md | 55 ++++++++++++++++++++++
 1 file changed, 55 insertions(+)

diff --git a/problems/二叉树中递归带着回溯.md b/problems/二叉树中递归带着回溯.md
index 20b87f87..603854dc 100644
--- a/problems/二叉树中递归带着回溯.md
+++ b/problems/二叉树中递归带着回溯.md
@@ -515,6 +515,61 @@ var binaryTreePaths = function(root) {
 };
 ```
 
+Swift：
+> 100.相同的树
+```swift
+// 递归
+func isSameTree(_ p: TreeNode?, _ q: TreeNode?) -> Bool {
+    return _isSameTree3(p, q)
+}
+func _isSameTree3(_ p: TreeNode?, _ q: TreeNode?) -> Bool {
+    if p == nil && q == nil {
+        return true
+    } else if p == nil && q != nil {
+        return false
+    } else if p != nil && q == nil {
+        return false
+    } else if p!.val != q!.val {
+        return false
+    }
+    let leftSide = _isSameTree3(p!.left, q!.left)
+    let rightSide = _isSameTree3(p!.right, q!.right)
+    return leftSide && rightSide
+}
+```
+
+> 257.二叉树的不同路径
+```swift
+// 递归/回溯
+func binaryTreePaths(_ root: TreeNode?) -> [String] {
+    var res = [String]()
+    guard let root = root else {
+        return res
+    }
+    var paths = [Int]()
+    _binaryTreePaths3(root, res: &res, paths: &paths)
+    return res
+}
+func _binaryTreePaths3(_ root: TreeNode, res: inout [String], paths: inout [Int]) {
+    paths.append(root.val)
+    if root.left == nil && root.right == nil {
+        var str = ""
+        for i in 0 ..< (paths.count - 1) {
+            str.append("\(paths[i])->")
+        }
+        str.append("\(paths.last!)")
+        res.append(str)
+    }
+    if let left = root.left {
+        _binaryTreePaths3(left, res: &res, paths: &paths)
+        paths.removeLast()
+    }
+    if let right = root.right {
+        _binaryTreePaths3(right, res: &res, paths: &paths)
+        paths.removeLast()
+    }
+}
+```
 
 -----------------------
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码一.jpg width=500> </img></div>

From 3aa54bfb8a8604a8cfb05a4fa8c606ebe6b09db3 Mon Sep 17 00:00:00 2001
From: Wayne <3522373084@qq.com>
Date: Mon, 7 Feb 2022 21:39:51 +0800
Subject: [PATCH 49/52] =?UTF-8?q?343=E6=95=B4=E6=95=B0=E6=8B=86=E5=88=86,?=
 =?UTF-8?q?=E6=9B=B4=E6=96=B0=E7=AC=AC=E4=BA=8C=E5=B1=82=E5=BE=AA=E7=8E=AF?=
 =?UTF-8?q?=20j=20=E7=9A=84=E8=8C=83=E5=9B=B4?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0343.整数拆分.md | 19 +++++++++++--------
 1 file changed, 11 insertions(+), 8 deletions(-)

diff --git a/problems/0343.整数拆分.md b/problems/0343.整数拆分.md
index 5d11f670..f616a606 100644
--- a/problems/0343.整数拆分.md
+++ b/problems/0343.整数拆分.md
@@ -197,14 +197,17 @@ Java：
 ```Java
 class Solution {
     public int integerBreak(int n) {
-        //dp[i]为正整数i拆分结果的最大乘积
-        int[] dp = new int[n+1]; 
-        dp[2] = 1;
-        for (int i = 3; i <= n; ++i) {
-            for (int j = 1; j < i - 1; ++j) {
-                //j*(i-j)代表把i拆分为j和i-j两个数相乘
-                //j*dp[i-j]代表把i拆分成j和继续把(i-j)这个数拆分，取(i-j)拆分结果中的最大乘积与j相乘
-                dp[i] = Math.max(dp[i], Math.max(j * (i - j), j * dp[i - j]));
+        //dp[i] 为正整数 i 拆分后的结果的最大乘积
+        int[]dp=new int[n+1];
+        dp[2]=1;
+        for(int i=3;i<=n;i++){
+            for(int j=1;j<=i-j;j++){
+                // 这里的 j 其实最大值为 i-j,再大只不过是重复而已，
+                //并且，在本题中，我们分析 dp[0], dp[1]都是无意义的，
+                //j 最大到 i-j,就不会用到 dp[0]与dp[1]
+                dp[i]=Math.max(dp[i],Math.max(j*(i-j),j*dp[i-j]));
+                // j * (i - j) 是单纯的把整数 i 拆分为两个数 也就是 i,i-j ，再相乘
+                //而j * dp[i - j]是将 i 拆分成两个以及两个以上的个数,再相乘。
             }
         }
         return dp[n];

From 1b7c86e20c2b36ed0732deb66a0c124a8e8fcdff Mon Sep 17 00:00:00 2001
From: Steve2020 <841532108@qq.com>
Date: Mon, 7 Feb 2022 23:01:47 +0800
Subject: [PATCH 50/52] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=EF=BC=880257.=E4=BA=8C?=
 =?UTF-8?q?=E5=8F=89=E6=A0=91=E7=9A=84=E6=89=80=E6=9C=89=E8=B7=AF=E5=BE=84?=
 =?UTF-8?q?.md=EF=BC=89=EF=BC=9A=E5=A2=9E=E5=8A=A0typescript=E7=89=88?=
 =?UTF-8?q?=E6=9C=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 problems/0257.二叉树的所有路径.md | 67 +++++++++++++++++++++--
 1 file changed, 61 insertions(+), 6 deletions(-)

diff --git a/problems/0257.二叉树的所有路径.md b/problems/0257.二叉树的所有路径.md
index 4078320f..1362897c 100644
--- a/problems/0257.二叉树的所有路径.md
+++ b/problems/0257.二叉树的所有路径.md
@@ -433,9 +433,9 @@ class Solution:
         if cur.right:
             self.traversal(cur.right, path + '->', result)
 ```
-  
+
 迭代法：
-  
+
 ```python3
 from collections import deque
 
@@ -463,13 +463,13 @@ class Solution:
 
         return result
 ```
-  
+
 ---
 
 Go：
-  
+
 递归法：
-  
+
 ```go
 func binaryTreePaths(root *TreeNode) []string {
     res := make([]string, 0)
@@ -492,7 +492,7 @@ func binaryTreePaths(root *TreeNode) []string {
     return res
 }
 ```
-  
+
 迭代法：
 
 ```go
@@ -581,7 +581,62 @@ var binaryTreePaths = function(root) {
 };  
 ```
 
+TypeScript：
+
+> 递归法
+
+```typescript
+function binaryTreePaths(root: TreeNode | null): string[] {
+    function recur(node: TreeNode, route: string, resArr: string[]): void {
+        route += String(node.val);
+        if (node.left === null && node.right === null) {
+            resArr.push(route);
+            return;
+        }
+        if (node.left !== null) recur(node.left, route + '->', resArr);
+        if (node.right !== null) recur(node.right, route + '->', resArr);
+    }
+    const resArr: string[] = [];
+    if (root === null) return resArr;
+    recur(root, '', resArr);
+    return resArr;
+};
+```
+
+> 迭代法
+
+```typescript
+// 迭代法2
+function binaryTreePaths(root: TreeNode | null): string[] {
+    let helperStack: TreeNode[] = [];
+    let tempNode: TreeNode;
+    let routeArr: string[] = [];
+    let resArr: string[] = [];
+    if (root !== null) {
+        helperStack.push(root);
+        routeArr.push(String(root.val));
+    };
+    while (helperStack.length > 0) {
+        tempNode = helperStack.pop()!;
+        let route: string = routeArr.pop()!; // tempNode 对应的路径
+        if (tempNode.left === null && tempNode.right === null) {
+            resArr.push(route);
+        }
+        if (tempNode.right !== null) {
+            helperStack.push(tempNode.right);
+            routeArr.push(route + '->' + tempNode.right.val);   // tempNode.right 对应的路径
+        }
+        if (tempNode.left !== null) {
+            helperStack.push(tempNode.left);
+            routeArr.push(route + '->' + tempNode.left.val);    // tempNode.left 对应的路径
+        }
+    }
+    return resArr;
+};
+```
+
 Swift:
+
 > 递归/回溯
 ```swift
 func binaryTreePaths(_ root: TreeNode?) -> [String] {

From 81c1060ad7b21cab48d3f27aea802135544a73ff Mon Sep 17 00:00:00 2001
From: youngyangyang04 <826123027@qq.com>
Date: Wed, 9 Feb 2022 14:57:04 +0800
Subject: [PATCH 51/52] Update

---
 README.md                                   | 9 +++++----
 problems/前序/程序员写文档工具.md | 1 -
 problems/背包理论基础01背包-2.md    | 8 ++++----
 3 files changed, 9 insertions(+), 9 deletions(-)

diff --git a/README.md b/README.md
index c5149776..c1761f7b 100644
--- a/README.md
+++ b/README.md
@@ -5,10 +5,11 @@
 
 > 1. **介绍**：本项目是一套完整的刷题计划，旨在帮助大家少走弯路，循序渐进学算法，[关注作者](#关于作者)
 > 2. **PDF版本** ： [「代码随想录」算法精讲 PDF 版本](https://programmercarl.com/other/algo_pdf.html) 。
-> 3. **刷题顺序** ： README已经将刷题顺序排好了，按照顺序一道一道刷就可以。
-> 4. **学习社区** : 一起学习打卡/面试技巧/如何选择offer/大厂内推/职场规则/简历修改/技术分享/程序人生。欢迎加入[「代码随想录」知识星球](https://programmercarl.com/other/kstar.html) 。
-> 5. **提交代码**：本项目统一使用C++语言进行讲解，但已经有Java、Python、Go、JavaScript等等多语言版本，感谢[这里的每一位贡献者](https://github.com/youngyangyang04/leetcode-master/graphs/contributors)，如果你也想贡献代码点亮你的头像，[点击这里](https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A)了解提交代码的方式。
-> 6. **转载须知** ：以下所有文章皆为我（[程序员Carl](https://github.com/youngyangyang04)）的原创。引用本项目文章请注明出处，发现恶意抄袭或搬运，会动用法律武器维护自己的权益。让我们一起维护一个良好的技术创作环境！
+> 3. **最强八股文：**：[代码随想录知识星球精华PDF](https://www.programmercarl.com/other/kstar_baguwen.html)
+> 4. **刷题顺序** ： README已经将刷题顺序排好了，按照顺序一道一道刷就可以。
+> 5. **学习社区** : 一起学习打卡/面试技巧/如何选择offer/大厂内推/职场规则/简历修改/技术分享/程序人生。欢迎加入[「代码随想录」知识星球](https://programmercarl.com/other/kstar.html) 。
+> 6. **提交代码**：本项目统一使用C++语言进行讲解，但已经有Java、Python、Go、JavaScript等等多语言版本，感谢[这里的每一位贡献者](https://github.com/youngyangyang04/leetcode-master/graphs/contributors)，如果你也想贡献代码点亮你的头像，[点击这里](https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A)了解提交代码的方式。
+> 7. **转载须知** ：以下所有文章皆为我（[程序员Carl](https://github.com/youngyangyang04)）的原创。引用本项目文章请注明出处，发现恶意抄袭或搬运，会动用法律武器维护自己的权益。让我们一起维护一个良好的技术创作环境！
 
 <p align="center">
 <a href="programmercarl.com" target="_blank">
diff --git a/problems/前序/程序员写文档工具.md b/problems/前序/程序员写文档工具.md
index b76fb036..e4193c42 100644
--- a/problems/前序/程序员写文档工具.md
+++ b/problems/前序/程序员写文档工具.md
@@ -135,7 +135,6 @@ Markdown支持部分html，例如这样
 
 
 
-
 -----------------------
 * 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
 * B站视频：[代码随想录](https://space.bilibili.com/525438321)
diff --git a/problems/背包理论基础01背包-2.md b/problems/背包理论基础01背包-2.md
index a57bae10..dabdfb2d 100644
--- a/problems/背包理论基础01背包-2.md
+++ b/problems/背包理论基础01背包-2.md
@@ -210,7 +210,7 @@ int main() {
 
 ## 其他语言版本
 
-Java：
+### Java 
 
 ```java
     public static void main(String[] args) {
@@ -240,7 +240,7 @@ Java：
 
 
 
-Python：
+### Python
 ```python
 def test_1_wei_bag_problem():
     weight = [1, 3, 4]
@@ -260,7 +260,7 @@ def test_1_wei_bag_problem():
 test_1_wei_bag_problem()
 ```
 
-Go：
+### Go 
 ```go
 func test_1_wei_bag_problem(weight, value []int, bagWeight int) int {
 	// 定义 and 初始化
@@ -292,7 +292,7 @@ func main() {
 }
 ```
 
-javaScript:
+### javaScript 
 
 ```js
 

From 266702c291505ab3847d520ab7474789d0e97fab Mon Sep 17 00:00:00 2001
From: youngyangyang04 <826123027@qq.com>
Date: Fri, 18 Feb 2022 22:09:38 +0800
Subject: [PATCH 52/52] Update

---
 problems/前序/ACM模式如何构建二叉树.md              | 3 ---
 ...AT级别技术面试流程和注意事项都在这里了.md | 3 ---
 ...n的算法居然超时了，此时的n究竟是多大？.md | 3 ---
 problems/前序/上海互联网公司总结.md                 | 3 ---
 .../什么是核心代码模式，什么又是ACM模式？.md  | 3 ---
 .../关于时间复杂度，你不知道的都在这里！.md  | 3 ---
 .../前序/关于空间复杂度，可能有几个疑问？.md | 3 ---
 ...��么多题，你了解自己代码的内存消耗么？.md | 3 ---
 .../前序/力扣上的代码想在本地编译运行？.md    | 3 ---
 problems/前序/北京互联网公司总结.md                 | 3 ---
 problems/前序/广州互联网公司总结.md                 | 3 ---
 problems/前序/成都互联网公司总结.md                 | 3 ---
 problems/前序/杭州互联网公司总结.md                 | 3 ---
 problems/前序/深圳互联网公司总结.md                 | 3 ---
 problems/前序/程序员写文档工具.md                    | 3 ---
 problems/前序/程序员简历.md                             | 3 ---
 .../前序/递归算法的时间与空间复杂度分析.md    | 3 ---
 ...��试题目，讲一讲递归算法的时间复杂度！.md | 3 ---
 18 files changed, 54 deletions(-)

diff --git a/problems/前序/ACM模式如何构建二叉树.md b/problems/前序/ACM模式如何构建二叉树.md
index d3b2656e..fc7a1823 100644
--- a/problems/前序/ACM模式如何构建二叉树.md
+++ b/problems/前序/ACM模式如何构建二叉树.md
@@ -251,7 +251,4 @@ int main() {
 ```
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/BAT级别技术面试流程和注意事项都在这里了.md b/problems/前序/BAT级别技术面试流程和注意事项都在这里了.md
index c5797739..6678860d 100644
--- a/problems/前序/BAT级别技术面试流程和注意事项都在这里了.md
+++ b/problems/前序/BAT级别技术面试流程和注意事项都在这里了.md
@@ -218,7 +218,4 @@ leetcode是专门针对算法练习的题库，leetcode现在也推出了中文
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/On的算法居然超时了，此时的n究竟是多大？.md b/problems/前序/On的算法居然超时了，此时的n究竟是多大？.md
index 9a56937c..5257ceb9 100644
--- a/problems/前序/On的算法居然超时了，此时的n究竟是多大？.md
+++ b/problems/前序/On的算法居然超时了，此时的n究竟是多大？.md
@@ -280,7 +280,4 @@ public class TimeComplexity {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/上海互联网公司总结.md b/problems/前序/上海互联网公司总结.md
index 08c15895..ffcbe77b 100644
--- a/problems/前序/上海互联网公司总结.md
+++ b/problems/前序/上海互联网公司总结.md
@@ -130,7 +130,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/什么是核心代码模式，什么又是ACM模式？.md b/problems/前序/什么是核心代码模式，什么又是ACM模式？.md
index 3c5fb4e4..54c5b6ec 100644
--- a/problems/前序/什么是核心代码模式，什么又是ACM模式？.md
+++ b/problems/前序/什么是核心代码模式，什么又是ACM模式？.md
@@ -119,7 +119,4 @@ int main() {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/关于时间复杂度，你不知道的都在这里！.md b/problems/前序/关于时间复杂度，你不知道的都在这里！.md
index cfcbed1a..478b82e4 100644
--- a/problems/前序/关于时间复杂度，你不知道的都在这里！.md
+++ b/problems/前序/关于时间复杂度，你不知道的都在这里！.md
@@ -170,7 +170,4 @@ $O(2 × n^2 + 10 × n + 1000) < O(3 × n^2)$，所以说最后省略掉常数项
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/关于空间复杂度，可能有几个疑问？.md b/problems/前序/关于空间复杂度，可能有几个疑问？.md
index 95ffe597..d49b42a2 100644
--- a/problems/前序/关于空间复杂度，可能有几个疑问？.md
+++ b/problems/前序/关于空间复杂度，可能有几个疑问？.md
@@ -73,7 +73,4 @@ for (int i = 0; i < n; i++) {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/刷了这么多题，你了解自己代码的内存消耗么？.md b/problems/前序/刷了这么多题，你了解自己代码的内存消耗么？.md
index 3fccfb22..0364fc8b 100644
--- a/problems/前序/刷了这么多题，你了解自己代码的内存消耗么？.md
+++ b/problems/前序/刷了这么多题，你了解自己代码的内存消耗么？.md
@@ -150,7 +150,4 @@ char型的数据和int型的数据挨在一起，该int数据从地址1开始，
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/力扣上的代码想在本地编译运行？.md b/problems/前序/力扣上的代码想在本地编译运行？.md
index c4899a20..dca6eec3 100644
--- a/problems/前序/力扣上的代码想在本地编译运行？.md
+++ b/problems/前序/力扣上的代码想在本地编译运行？.md
@@ -67,7 +67,4 @@ int main() {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/北京互联网公司总结.md b/problems/前序/北京互联网公司总结.md
index 0e22dad6..02a877b7 100644
--- a/problems/前序/北京互联网公司总结.md
+++ b/problems/前序/北京互联网公司总结.md
@@ -116,7 +116,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/广州互联网公司总结.md b/problems/前序/广州互联网公司总结.md
index ae41c899..1cf0da36 100644
--- a/problems/前序/广州互联网公司总结.md
+++ b/problems/前序/广州互联网公司总结.md
@@ -79,7 +79,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/成都互联网公司总结.md b/problems/前序/成都互联网公司总结.md
index d44800cd..7964f23c 100644
--- a/problems/前序/成都互联网公司总结.md
+++ b/problems/前序/成都互联网公司总结.md
@@ -77,7 +77,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/杭州互联网公司总结.md b/problems/前序/杭州互联网公司总结.md
index 326a176b..029ee380 100644
--- a/problems/前序/杭州互联网公司总结.md
+++ b/problems/前序/杭州互联网公司总结.md
@@ -87,7 +87,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/深圳互联网公司总结.md b/problems/前序/深圳互联网公司总结.md
index 9e089315..61bd52e8 100644
--- a/problems/前序/深圳互联网公司总结.md
+++ b/problems/前序/深圳互联网公司总结.md
@@ -82,7 +82,4 @@
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/程序员写文档工具.md b/problems/前序/程序员写文档工具.md
index e4193c42..5504ae7a 100644
--- a/problems/前序/程序员写文档工具.md
+++ b/problems/前序/程序员写文档工具.md
@@ -136,7 +136,4 @@ Markdown支持部分html，例如这样
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/程序员简历.md b/problems/前序/程序员简历.md
index f47516dc..522fc5f7 100644
--- a/problems/前序/程序员简历.md
+++ b/problems/前序/程序员简历.md
@@ -133,7 +133,4 @@ Carl校招社招都拿过大厂的offer，同时也看过很多应聘者的简
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/递归算法的时间与空间复杂度分析.md b/problems/前序/递归算法的时间与空间复杂度分析.md
index 4dd340a6..914cccfd 100644
--- a/problems/前序/递归算法的时间与空间复杂度分析.md
+++ b/problems/前序/递归算法的时间与空间复杂度分析.md
@@ -269,7 +269,4 @@ int binary_search( int arr[], int l, int r, int x) {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>
diff --git a/problems/前序/通过一道面试题目，讲一讲递归算法的时间复杂度！.md b/problems/前序/通过一道面试题目，讲一讲递归算法的时间复杂度！.md
index 8780122f..849a025d 100644
--- a/problems/前序/通过一道面试题目，讲一讲递归算法的时间复杂度！.md
+++ b/problems/前序/通过一道面试题目，讲一讲递归算法的时间复杂度！.md
@@ -152,7 +152,4 @@ int function3(int x, int n) {
 
 
 -----------------------
-* 作者微信：[程序员Carl](https://mp.weixin.qq.com/s/b66DFkOp8OOxdZC_xLZxfw)
-* B站视频：[代码随想录](https://space.bilibili.com/525438321)
-* 知识星球：[代码随想录](https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ)
 <div align="center"><img src=https://code-thinking.cdn.bcebos.com/pics/01二维码.jpg width=450> </img></div>