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Title: GitHub - ShaofeiZi/algorithm-note: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。

Open Graph Title: GitHub - ShaofeiZi/algorithm-note: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。

X Title: GitHub - ShaofeiZi/algorithm-note: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。

Description: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。. Contribute to ShaofeiZi/algorithm-note development by creating an account on GitHub.

Open Graph Description: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。. Contribute to ShaofeiZi/algorithm-note development by creating an account on GitHub.

X Description: 该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。. Contribute to ShaofeiZi/algorithm-note development by creating an account on GitHub.

Opengraph URL: https://github.com/ShaofeiZi/algorithm-note

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og:image:alt该系列包括数组，链表，树，图，递归，DP，有序表等相关数据结构与算法的讲解及代码实现。. Contribute to ShaofeiZi/algorithm-note development by creating an account on GitHub.
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01-复杂度、排序、二分、异或.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/01-%E5%A4%8D%E6%9D%82%E5%BA%A6%E3%80%81%E6%8E%92%E5%BA%8F%E3%80%81%E4%BA%8C%E5%88%86%E3%80%81%E5%BC%82%E6%88%96.md
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02-链表、栈、队列、递归、哈希表、顺序表.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/02-%E9%93%BE%E8%A1%A8%E3%80%81%E6%A0%88%E3%80%81%E9%98%9F%E5%88%97%E3%80%81%E9%80%92%E5%BD%92%E3%80%81%E5%93%88%E5%B8%8C%E8%A1%A8%E3%80%81%E9%A1%BA%E5%BA%8F%E8%A1%A8.md
02-链表、栈、队列、递归、哈希表、顺序表.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/02-%E9%93%BE%E8%A1%A8%E3%80%81%E6%A0%88%E3%80%81%E9%98%9F%E5%88%97%E3%80%81%E9%80%92%E5%BD%92%E3%80%81%E5%93%88%E5%B8%8C%E8%A1%A8%E3%80%81%E9%A1%BA%E5%BA%8F%E8%A1%A8.md
03-归并排序、随机快排.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/03-%E5%BD%92%E5%B9%B6%E6%8E%92%E5%BA%8F%E3%80%81%E9%9A%8F%E6%9C%BA%E5%BF%AB%E6%8E%92.md
03-归并排序、随机快排.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/03-%E5%BD%92%E5%B9%B6%E6%8E%92%E5%BA%8F%E3%80%81%E9%9A%8F%E6%9C%BA%E5%BF%AB%E6%8E%92.md
04-比较器、堆.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/04-%E6%AF%94%E8%BE%83%E5%99%A8%E3%80%81%E5%A0%86.md
04-比较器、堆.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/04-%E6%AF%94%E8%BE%83%E5%99%A8%E3%80%81%E5%A0%86.md
05-前缀树、桶排序、排序总结.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/05-%E5%89%8D%E7%BC%80%E6%A0%91%E3%80%81%E6%A1%B6%E6%8E%92%E5%BA%8F%E3%80%81%E6%8E%92%E5%BA%8F%E6%80%BB%E7%BB%93.md
05-前缀树、桶排序、排序总结.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/05-%E5%89%8D%E7%BC%80%E6%A0%91%E3%80%81%E6%A1%B6%E6%8E%92%E5%BA%8F%E3%80%81%E6%8E%92%E5%BA%8F%E6%80%BB%E7%BB%93.md
06-链表相关面试题总结.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/06-%E9%93%BE%E8%A1%A8%E7%9B%B8%E5%85%B3%E9%9D%A2%E8%AF%95%E9%A2%98%E6%80%BB%E7%BB%93.md
06-链表相关面试题总结.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/06-%E9%93%BE%E8%A1%A8%E7%9B%B8%E5%85%B3%E9%9D%A2%E8%AF%95%E9%A2%98%E6%80%BB%E7%BB%93.md
07-二叉树基本算法.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/07-%E4%BA%8C%E5%8F%89%E6%A0%91%E5%9F%BA%E6%9C%AC%E7%AE%97%E6%B3%95.md
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08-二叉树的递归思维.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/08-%E4%BA%8C%E5%8F%89%E6%A0%91%E7%9A%84%E9%80%92%E5%BD%92%E6%80%9D%E7%BB%B4.md
08-二叉树的递归思维.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/08-%E4%BA%8C%E5%8F%89%E6%A0%91%E7%9A%84%E9%80%92%E5%BD%92%E6%80%9D%E7%BB%B4.md
09-贪心算法深度解析.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/09-%E8%B4%AA%E5%BF%83%E7%AE%97%E6%B3%95%E6%B7%B1%E5%BA%A6%E8%A7%A3%E6%9E%90.md
09-贪心算法深度解析.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/09-%E8%B4%AA%E5%BF%83%E7%AE%97%E6%B3%95%E6%B7%B1%E5%BA%A6%E8%A7%A3%E6%9E%90.md
10-并查集、图相关算法介绍.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/10-%E5%B9%B6%E6%9F%A5%E9%9B%86%E3%80%81%E5%9B%BE%E7%9B%B8%E5%85%B3%E7%AE%97%E6%B3%95%E4%BB%8B%E7%BB%8D.md
10-并查集、图相关算法介绍.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/10-%E5%B9%B6%E6%9F%A5%E9%9B%86%E3%80%81%E5%9B%BE%E7%9B%B8%E5%85%B3%E7%AE%97%E6%B3%95%E4%BB%8B%E7%BB%8D.md
11-暴力递归思维、动态规划思维.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/11-%E6%9A%B4%E5%8A%9B%E9%80%92%E5%BD%92%E6%80%9D%E7%BB%B4%E3%80%81%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92%E6%80%9D%E7%BB%B4.md
11-暴力递归思维、动态规划思维.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/11-%E6%9A%B4%E5%8A%9B%E9%80%92%E5%BD%92%E6%80%9D%E7%BB%B4%E3%80%81%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92%E6%80%9D%E7%BB%B4.md
12-暴力递归到动态规划.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/12-%E6%9A%B4%E5%8A%9B%E9%80%92%E5%BD%92%E5%88%B0%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92.md
12-暴力递归到动态规划.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/12-%E6%9A%B4%E5%8A%9B%E9%80%92%E5%BD%92%E5%88%B0%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92.md
13-《进阶》单调栈和窗口及其更新结构.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/13-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E5%8D%95%E8%B0%83%E6%A0%88%E5%92%8C%E7%AA%97%E5%8F%A3%E5%8F%8A%E5%85%B6%E6%9B%B4%E6%96%B0%E7%BB%93%E6%9E%84.md
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14-《进阶》类似斐波那契数列的递归.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/14-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E7%B1%BB%E4%BC%BC%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91%E6%95%B0%E5%88%97%E7%9A%84%E9%80%92%E5%BD%92.md
14-《进阶》类似斐波那契数列的递归.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/14-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E7%B1%BB%E4%BC%BC%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91%E6%95%B0%E5%88%97%E7%9A%84%E9%80%92%E5%BD%92.md
15-《进阶》KMP算法与bfprt算法.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/15-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BKMP%E7%AE%97%E6%B3%95%E4%B8%8Ebfprt%E7%AE%97%E6%B3%95.md
15-《进阶》KMP算法与bfprt算法.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/15-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BKMP%E7%AE%97%E6%B3%95%E4%B8%8Ebfprt%E7%AE%97%E6%B3%95.md
16-《进阶》Manacher(马拉车)算法.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/16-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BManacher(%E9%A9%AC%E6%8B%89%E8%BD%A6)%E7%AE%97%E6%B3%95.md
16-《进阶》Manacher(马拉车)算法.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/16-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BManacher(%E9%A9%AC%E6%8B%89%E8%BD%A6)%E7%AE%97%E6%B3%95.md
17-《进阶》Morris遍历.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/17-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BMorris%E9%81%8D%E5%8E%86.md
17-《进阶》Morris遍历.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/17-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BMorris%E9%81%8D%E5%8E%86.md
18-《进阶》线段树.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/18-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E7%BA%BF%E6%AE%B5%E6%A0%91.md
18-《进阶》线段树.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/18-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E7%BA%BF%E6%AE%B5%E6%A0%91.md
19-《进阶》打表技巧和矩阵处理技巧.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/19-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E6%89%93%E8%A1%A8%E6%8A%80%E5%B7%A7%E5%92%8C%E7%9F%A9%E9%98%B5%E5%A4%84%E7%90%86%E6%8A%80%E5%B7%A7.md
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20-《进阶》数组累加和问题.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/20-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E6%95%B0%E7%BB%84%E7%B4%AF%E5%8A%A0%E5%92%8C%E9%97%AE%E9%A2%98.md
20-《进阶》数组累加和问题.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/20-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E6%95%B0%E7%BB%84%E7%B4%AF%E5%8A%A0%E5%92%8C%E9%97%AE%E9%A2%98.md
21-《进阶》哈希函数有关的结构和岛问题.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/21-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E5%93%88%E5%B8%8C%E5%87%BD%E6%95%B0%E6%9C%89%E5%85%B3%E7%9A%84%E7%BB%93%E6%9E%84%E5%92%8C%E5%B2%9B%E9%97%AE%E9%A2%98.md
21-《进阶》哈希函数有关的结构和岛问题.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/21-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E5%93%88%E5%B8%8C%E5%87%BD%E6%95%B0%E6%9C%89%E5%85%B3%E7%9A%84%E7%BB%93%E6%9E%84%E5%92%8C%E5%B2%9B%E9%97%AE%E9%A2%98.md
22-《进阶》如何解决资源限制类题目.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/22-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E5%A6%82%E4%BD%95%E8%A7%A3%E5%86%B3%E8%B5%84%E6%BA%90%E9%99%90%E5%88%B6%E7%B1%BB%E9%A2%98%E7%9B%AE.md
22-《进阶》如何解决资源限制类题目.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/22-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E5%A6%82%E4%BD%95%E8%A7%A3%E5%86%B3%E8%B5%84%E6%BA%90%E9%99%90%E5%88%B6%E7%B1%BB%E9%A2%98%E7%9B%AE.md
23-《进阶》有序表原理及扩展.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/23-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E6%9C%89%E5%BA%8F%E8%A1%A8%E5%8E%9F%E7%90%86%E5%8F%8A%E6%89%A9%E5%B1%95.md
23-《进阶》有序表原理及扩展.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/23-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8B%E6%9C%89%E5%BA%8F%E8%A1%A8%E5%8E%9F%E7%90%86%E5%8F%8A%E6%89%A9%E5%B1%95.md
24-《进阶》AC自动机和卡特兰数.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/24-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BAC%E8%87%AA%E5%8A%A8%E6%9C%BA%E5%92%8C%E5%8D%A1%E7%89%B9%E5%85%B0%E6%95%B0.md
24-《进阶》AC自动机和卡特兰数.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/24-%E3%80%8A%E8%BF%9B%E9%98%B6%E3%80%8BAC%E8%87%AA%E5%8A%A8%E6%9C%BA%E5%92%8C%E5%8D%A1%E7%89%B9%E5%85%B0%E6%95%B0.md
25-算法面试专题-链表.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/25-%E7%AE%97%E6%B3%95%E9%9D%A2%E8%AF%95%E4%B8%93%E9%A2%98-%E9%93%BE%E8%A1%A8.md
25-算法面试专题-链表.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/25-%E7%AE%97%E6%B3%95%E9%9D%A2%E8%AF%95%E4%B8%93%E9%A2%98-%E9%93%BE%E8%A1%A8.md
26-算法面试专题-二叉树.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/26-%E7%AE%97%E6%B3%95%E9%9D%A2%E8%AF%95%E4%B8%93%E9%A2%98-%E4%BA%8C%E5%8F%89%E6%A0%91.md
26-算法面试专题-二叉树.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/26-%E7%AE%97%E6%B3%95%E9%9D%A2%E8%AF%95%E4%B8%93%E9%A2%98-%E4%BA%8C%E5%8F%89%E6%A0%91.md
27-算法面试专题-字符串.mdhttps://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note/blob/master/27-%E7%AE%97%E6%B3%95%E9%9D%A2%E8%AF%95%E4%B8%93%E9%A2%98-%E5%AD%97%E7%AC%A6%E4%B8%B2.md
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https://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note#笔记简介
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进入https://dairongpeng.github.io/algorithm-note/
https://patch-diff.githubusercontent.com/ShaofeiZi/algorithm-note#目录概览
第一节 复杂度、排序、二分、异或https://dairongpeng.github.io/algorithm-note/01
第二节 链表、栈、队列、递归、哈希表、顺序表https://dairongpeng.github.io/algorithm-note/02
第三节 归并排序、随机快排介绍https://dairongpeng.github.io/algorithm-note/03
第四节 比较器与堆https://dairongpeng.github.io/algorithm-note/04
第五节 前缀树、桶排序以及排序总结https://dairongpeng.github.io/algorithm-note/05
第六节 链表相关面试题总结https://dairongpeng.github.io/algorithm-note/06
第七节 二叉树基本算法https://dairongpeng.github.io/algorithm-note/07
第八节 二叉树的递归思维建立https://dairongpeng.github.io/algorithm-note/08
第九节 认识贪心算法https://dairongpeng.github.io/algorithm-note/09
第十节 并查集、图相关算法介绍https://dairongpeng.github.io/algorithm-note/10
第十一节 暴力递归思维、动态规划思维建立https://dairongpeng.github.io/algorithm-note/11
第十二节 用简单暴力递归思维推导动态规划思维https://dairongpeng.github.io/algorithm-note/12
第十三节 单调栈和窗口及其更新结构https://dairongpeng.github.io/algorithm-note/13
第十四节 类似斐波那契数列的递归https://dairongpeng.github.io/algorithm-note/14
第十五节 认识KMP算法与bfprt算法https://dairongpeng.github.io/algorithm-note/15
第十六节 认识Manacher(马拉车)算法https://dairongpeng.github.io/algorithm-note/16
第十七节 认识Morris遍历https://dairongpeng.github.io/algorithm-note/17
第十八节 线段树https://dairongpeng.github.io/algorithm-note/18
第十九节 打表技巧和矩阵处理技巧https://dairongpeng.github.io/algorithm-note/19
第二十节 组累加和问题整理https://dairongpeng.github.io/algorithm-note/20
第二十一节 哈希函数有关的结构和岛问题https://dairongpeng.github.io/algorithm-note/21
第二十二节 解决资源限制类题目https://dairongpeng.github.io/algorithm-note/22
第二十三节 有序表原理及扩展https://dairongpeng.github.io/algorithm-note/23
第二十四节 AC自动机和卡特兰数https://dairongpeng.github.io/algorithm-note/23
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