From d1cf776be3086904f090d838627373acef5d741b Mon Sep 17 00:00:00 2001 From: youngyangyang04 <826123027@qq.com> Date: Wed, 11 Nov 2020 11:16:05 +0800 Subject: [PATCH] Update --- README.md | 1 + pics/31.下一个排列.png | Bin 0 -> 79737 bytes pics/435.无重叠区间.png | Bin 0 -> 23720 bytes pics/46.全排列.png | Bin 0 -> 232542 bytes problems/0031.下一个排列.md | 58 ++++++++++++ problems/0046.全排列.md | 156 +++++++++++++++++++++++-------- problems/0090.子集II.md | 8 ++ problems/0435.无重叠区间.md | 23 ++++- problems/回溯总结.md | 2 + problems/导读.md | 143 ++++++++++++++++++++++++++++ 10 files changed, 350 insertions(+), 41 deletions(-) create mode 100644 pics/31.下一个排列.png create mode 100644 pics/435.无重叠区间.png create mode 100644 pics/46.全排列.png create mode 100644 problems/0031.下一个排列.md create mode 100644 problems/导读.md diff --git a/README.md b/README.md index 81881558..5370bc83 100644 --- a/README.md +++ b/README.md @@ -307,6 +307,7 @@ |[0026.删除排序数组中的重复项](https://github.com/youngyangyang04/leetcode/blob/master/problems/0026.删除排序数组中的重复项.md) |数组 |简单|**暴力** **快慢指针/快慢指针** | |[0027.移除元素](https://github.com/youngyangyang04/leetcode/blob/master/problems/0027.移除元素.md) |数组 |简单| **暴力** **双指针/快慢指针/双指针**| |[0028.实现strStr()](https://github.com/youngyangyang04/leetcode/blob/master/problems/0028.实现strStr().md) |字符串 |简单| **KMP** | +|[0031.下一个排列](https://github.com/youngyangyang04/leetcode/blob/master/problems/0031.下一个排列.md) |数组 |中等| **模拟** 这道题目还是有难度的| |[0035.搜索插入位置](https://github.com/youngyangyang04/leetcode/blob/master/problems/0035.搜索插入位置.md) |数组 |简单| **暴力** **二分**| |[0037.解数独](https://github.com/youngyangyang04/leetcode/blob/master/problems/0037.解数独.md) |回溯 |困难| **回溯**| |[0039.组合总和](https://github.com/youngyangyang04/leetcode/blob/master/problems/0039.组合总和.md) |数组/回溯 |中等| **回溯**| diff --git a/pics/31.下一个排列.png b/pics/31.下一个排列.png new file mode 100644 index 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zl=Pnuz2XB`fJ}1NvA6Q$gGUME6CUrvPmBBV*jGK7Nu#mcQ~#$8tpOXl3f#s0j~)KsSAy+@DnLxJ%k@8PsQWo-^fAIT!~eDHf2{Th o+lfbX%Hs8ZJoA6O`3nYSjxWVrKRj#d8So<~tt?gX-Z=RG0ptcQEC2ui literal 0 HcmV?d00001 diff --git a/problems/0031.下一个排列.md b/problems/0031.下一个排列.md new file mode 100644 index 00000000..68665d6b --- /dev/null +++ b/problems/0031.下一个排列.md @@ -0,0 +1,58 @@ + +## 思路 + +一些同学可能手动写排列的顺序,都没有写对,那么写程序的话思路一定是有问题的了,我这里以1234为例子,把全排列都列出来。可以参考一下规律所在: + +``` +1 2 3 4 +1 2 4 3 +1 3 2 4 +1 3 4 2 +1 4 2 3 +1 4 3 2 +2 1 3 4 +2 1 4 3 +2 3 1 4 +2 3 4 1 +2 4 1 3 +2 4 3 1 +3 1 2 4 +3 1 4 2 +3 2 1 4 +3 2 4 1 +3 4 1 2 +3 4 2 1 +4 1 2 3 +4 1 3 2 +4 2 1 3 +4 2 3 1 +4 3 1 2 +4 3 2 1 +``` + +如图: + +以求1243为例,流程如图: + + + +对应的C++代码如下: + +``` +class Solution { +public: + void nextPermutation(vector& nums) { + for (int i = nums.size() - 1; i >= 0; i--) { + 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()); + return; + } + } + } + // 到这里了说明整个数组都是倒叙了,反转一下便可 + reverse(nums.begin(), nums.end()); + } +}; +``` diff --git a/problems/0046.全排列.md b/problems/0046.全排列.md index b083f78f..fdd23e8e 100644 --- a/problems/0046.全排列.md +++ b/problems/0046.全排列.md @@ -1,62 +1,142 @@ -## 题目地址 -https://leetcode-cn.com/problems/permutations/ +> 开始排列问题 +> 通知:现在已经将所有历史文章,汇总到一起,有一个整体的目录,方便录友们从前面系列开始卡了,就在公众号左下角「算法汇总」,大家去瞅瞅哈 + +# 46.全排列 + +题目链接:https://leetcode-cn.com/problems/permutations/ + +给定一个 没有重复 数字的序列,返回其所有可能的全排列。 + +示例: +输入: [1,2,3] +输出: +[ + [1,2,3], + [1,3,2], + [2,1,3], + [2,3,1], + [3,1,2], + [3,2,1] +] ## 思路 -先写逻辑,再确认参数,先把for循环写出来,在写 结束语句,在写 函数参数。 +此时我们已经学习了[组合问题](https://mp.weixin.qq.com/s/OnBjbLzuipWz_u4QfmgcqQ)、[切割问题](https://mp.weixin.qq.com/s/Pb1epUTbU8fHIht-g_MS5Q)和[子集问题](https://mp.weixin.qq.com/s/NNRzX-vJ_pjK4qxohd_LtA),接下来看一看排列问题。 -这道题目树形结构还不太一样 +相信这个排列问题就算是让你用for循环暴力把结果搜索出来,这个暴力也不是很好写。 -## 解法 +所以正如我们在[关于回溯算法,你该了解这些!](https://mp.weixin.qq.com/s/gjSgJbNbd1eAA5WkA-HeWw)所讲的为什么回溯法是暴力搜索,效率这么低,还要用它? + +**因为一些问题能暴力搜出来就已经很不错了!** + +我以[1,2,3]为例,抽象成树形结构如下: + + + +## 回溯三部曲 + +* 递归函数参数 + +**首先排列是有序的,也就是说[1,2] 和[2,1] 是两个集合,这和之前分析的子集以及组合所不同的地方**。 + +可以看出元素1在[1,2]中已经使用过了,但是在[2,1]中还要在使用一次1,所以处理排列问题就不用使用startIndex了。 + +但排列问题需要一个used数组,标记已经选择的元素,如图橘黄色部分所示: + + + +代码如下: + +``` +vector> result; +vector path; +void backtracking (vector& nums, vector& used) +``` + +* 递归终止条件 + + + +可以看出叶子节点,就是收割结果的地方。 + +那么什么时候,算是到达叶子节点呢? + +当收集元素的数组path的大小达到和nums数组一样大的时候,说明找到了一个全排列,也表示到达了叶子节点。 + +代码如下: + +``` +// 此时说明找到了一组 +if (path.size() == nums.size()) { + result.push_back(path); + return; +} +``` + +* 单层搜索的逻辑 + +这里和[组合问题](https://mp.weixin.qq.com/s/OnBjbLzuipWz_u4QfmgcqQ)、[切割问题](https://mp.weixin.qq.com/s/Pb1epUTbU8fHIht-g_MS5Q)和[子集问题](https://mp.weixin.qq.com/s/NNRzX-vJ_pjK4qxohd_LtA)最大的不同就是for循环里不用startIndex了。 + +因为排列问题,每次都要从头开始搜索,例如元素1在[1,2]中已经使用过了,但是在[2,1]中还要再使用一次1。 + +**而used数组,其实就是记录此时path里都有哪些元素使用了,一个排列里一个元素只能使用一次**。 + +代码如下: + +``` +for (int i = 0; i < nums.size(); i++) { + if (used[i] == true) continue; // path里已经收录的元素,直接跳过 + used[i] = true; + path.push_back(nums[i]); + backtracking(nums, used); + path.pop_back(); + used[i] = false; +} +``` + +整体C++代码如下: + +## C++代码 ``` class Solution { public: vector> result; - void backtracking (vector& nums, vector& vec, vector& used) { + vector path; + void backtracking (vector& nums, vector& used) { // 此时说明找到了一组 - if (vec.size() == nums.size()) { - result.push_back(vec); + if (path.size() == nums.size()) { + result.push_back(path); return; } - for (int i = 0; i < nums.size(); i++) { - if (used[i] == false) { - used[i] = true; - vec.push_back(nums[i]); - backtracking(nums, vec, used); - vec.pop_back(); - used[i] = false; - } + if (used[i] == true) continue; // path里已经收录的元素,直接跳过 + used[i] = true; + path.push_back(nums[i]); + backtracking(nums, used); + path.pop_back(); + used[i] = false; } } vector> permute(vector& nums) { + result.clear(); + path.clear(); vector used(nums.size(), false); - vector vec; - backtracking(nums, vec, used); + backtracking(nums, used); return result; } }; ``` -这是一个思路: -class Solution { -public: - vector> res; - vector> permute(vector& nums) { - solve(nums, 0); - return res; - } - void solve(vector &nums, int idx) { - if(idx == nums.size()-1 || nums.size() == 0){ - res.push_back(nums); - return; - } - for(int i = idx; i < nums.size(); i++){ - swap(nums[idx], nums[i]); - solve(nums, idx+1); - swap(nums[idx], nums[i]); - } - } -}; +# 总结 + +大家此时可以感受出排列问题的不同: + +* 每层都是从0开始搜索而不是startIndex +* 需要used数组记录path里都放了哪些元素了 + +排列问题是回溯算法解决的经典题目,大家可以好好体会体会。 + +就酱,如果感觉「代码随想录」诚意满满,就帮Carl宣传一波吧! + diff --git a/problems/0090.子集II.md b/problems/0090.子集II.md index 93427594..7a57eaba 100644 --- a/problems/0090.子集II.md +++ b/problems/0090.子集II.md @@ -81,6 +81,14 @@ public: 其实这道题目的知识点,我们之前都讲过了,如果之前讲过的子集问题和去重问题都掌握的好,这道题目应该分分钟AC。 + +这道题目去重的逻辑,也可以这么写 +``` +if (i > startIndex && nums[i] == nums[i - 1] ) { + continue; + } +``` + **就酱,如果感觉融会贯通了,就把「代码随想录」介绍给自己的同学朋友吧,也许他们也需要!** > 我是[程序员Carl](https://github.com/youngyangyang04),组队刷题可以找我,本文[leetcode刷题攻略](https://github.com/youngyangyang04/leetcode-master)已收录,更多[精彩算法文章](https://mp.weixin.qq.com/mp/appmsgalbum?__biz=MzUxNjY5NTYxNA==&action=getalbum&album_id=1485825793120387074&scene=173#wechat_redirect)尽在:[代码随想录](https://img-blog.csdnimg.cn/20200815195519696.png),期待你的关注! diff --git a/problems/0435.无重叠区间.md b/problems/0435.无重叠区间.md index 31d00fbc..fcb2a9af 100644 --- a/problems/0435.无重叠区间.md +++ b/problems/0435.无重叠区间.md @@ -5,16 +5,30 @@ **相信很多同学看到这道题目都冥冥之中感觉要排序,但是究竟是按照右边界排序,还是按照左边界排序呢?** -按照右边界排序,那么右边界越小越好,因为右边界越小,留给下一个区间的空间就越大,所以可以从左向右遍历,优先选右边界小的。 +按照右边界排序,从左向右遍历,右边界越小越好,因为右边界越小,留给下一个区间的空间就越大,所以可以从左向右遍历,优先选右边界小的。 -按照左边界排序,那么就是左边界越大越好,这样就给前一个区间的空间就越大,所以可以从右向左遍历。 +按照左边界排序,那么就是从右向左遍历,左边界数值越大越好(越靠右),这样就给前一个区间的空间就越大,所以可以从右向左遍历。 如果按照左边界排序,还从左向右遍历的话,要处理各个区间右边界的各种情况,就比较复杂了,这其实也就不是贪心了。 +**我来按照右边界排序,从左向右记录非交叉区间的个数。最后用区间总数减去非交叉区间的个数就是需要移除的区间个数了**。 -在每次选择中,选择的区间结尾越小,留给后面的区间的空间越大,那么后面能够选择的区间个数也就越大。 +这里记录非交叉区间的个数还是有技巧的,如图: + + +区间,1,2,3,4,5,6都按照右边界排好序。 + +每次取非交叉区间的时候,都是可右边界最小的来做分割点(这样留给下一个区间的空间就越大),所以第一条分割线就是区间1结束的位置。 + +接下来就是找大于区间1结束位置的区间,是从区间4开始。**那有同学问了为什么不从区间5开始?别忘已经是按照右边界排序的了**。 + +区间4结束之后,在找到区间6,所以一共记录非交叉区间的个数是三个。 + +总共区间个数为6,减去非交叉区间的个数(3),为3。移除区间的最小数量就是3。 + +C++代码如下: ``` class Solution { @@ -38,3 +52,6 @@ public: } }; ``` + +> 我是[程序员Carl](https://github.com/youngyangyang04),组队刷题可以找我,本文[leetcode刷题攻略](https://github.com/youngyangyang04/leetcode-master)已收录,更多[精彩算法文章](https://mp.weixin.qq.com/mp/appmsgalbum?__biz=MzUxNjY5NTYxNA==&action=getalbum&album_id=1485825793120387074&scene=173#wechat_redirect)尽在:[代码随想录](https://img-blog.csdnimg.cn/20200815195519696.png),期待你的关注! + diff --git a/problems/回溯总结.md b/problems/回溯总结.md index a362a988..5030289d 100644 --- a/problems/回溯总结.md +++ b/problems/回溯总结.md @@ -20,3 +20,5 @@ # 组合 子集问题,used[i-1] = false 来去重复, 啥问题 used[i-1] = true也是可以的来着 排列问题 + +# 时间复杂度分析 diff --git a/problems/导读.md b/problems/导读.md new file mode 100644 index 00000000..8d5334ba --- /dev/null +++ b/problems/导读.md @@ -0,0 +1,143 @@ +很多刚刚关注「代码随想录」的录友,表示想从头开始打卡学习。 + +**打卡方式**就是在文章留言区记录:第n天打卡+自己的总结。很多录友都正在从头开始打卡,看看留言就知道了,你并不孤独,哈哈。 + +**以下是我整理的文章列表,每个系列都排好了顺序,挨个看就可以**。 + +文章留言区的想法和总结都非常不错,大家也可以看看留言作为拓展和补充,最好同时也写一写自己的想法。 + +如果对文章有疑问,留言区一般都有相应的解答了,或者可以打卡的时候直接留言,留言的疑问我都会看到。 + +**开启征程:** + +# 文章篇 + +* 数组 + * [必须掌握的数组理论知识](https://mp.weixin.qq.com/s/X7R55wSENyY62le0Fiawsg) + * [数组:每次遇到二分法,都是一看就会,一写就废](https://mp.weixin.qq.com/s/fCf5QbPDtE6SSlZ1yh_q8Q) + * [数组:就移除个元素很难么?](https://mp.weixin.qq.com/s/wj0T-Xs88_FHJFwayElQlA) + * [数组:滑动窗口拯救了你](https://mp.weixin.qq.com/s/UrZynlqi4QpyLlLhBPglyg) + * [数组:这个循环可以转懵很多人!](https://mp.weixin.qq.com/s/KTPhaeqxbMK9CxHUUgFDmg) + * [数组:总结篇](https://mp.weixin.qq.com/s/LIfQFRJBH5ENTZpvixHEmg) +* 链表 + * [关于链表,你该了解这些!](https://mp.weixin.qq.com/s/ntlZbEdKgnFQKZkSUAOSpQ) + * [链表:听说用虚拟头节点会方便很多?](https://mp.weixin.qq.com/s/slM1CH5Ew9XzK93YOQYSjA) + * [链表:一道题目考察了常见的五个操作!](https://mp.weixin.qq.com/s/Cf95Lc6brKL4g2j8YyF3Mg) + * [链表:听说过两天反转链表又写不出来了?](https://mp.weixin.qq.com/s/pnvVP-0ZM7epB8y3w_Njwg) + * [链表:环找到了,那入口呢?](https://mp.weixin.qq.com/s/_QVP3IkRZWx9zIpQRgajzA) + * [链表:总结篇!](https://mp.weixin.qq.com/s/vK0JjSTHfpAbs8evz5hH8A) + +* 哈希表 + * [关于哈希表,你该了解这些!](https://mp.weixin.qq.com/s/g8N6WmoQmsCUw3_BaWxHZA) + * [哈希表:可以拿数组当哈希表来用,但哈希值不要太大](https://mp.weixin.qq.com/s/vM6OszkM6L1Mx2Ralm9Dig) + * [哈希表:哈希值太大了,还是得用set](https://mp.weixin.qq.com/s/N9iqAchXreSVW7zXUS4BVA) + * [哈希表:今天你快乐了么?](https://mp.weixin.qq.com/s/G4Q2Zfpfe706gLK7HpZHpA) + * [哈希表:map等候多时了](https://mp.weixin.qq.com/s/uVAtjOHSeqymV8FeQbliJQ) + * [哈希表:其实需要哈希的地方都能找到map的身影](https://mp.weixin.qq.com/s/Ue8pKKU5hw_m-jPgwlHcbA) + * [哈希表:这道题目我做过?](https://mp.weixin.qq.com/s/sYZIR4dFBrw_lr3eJJnteQ) + * [哈希表:解决了两数之和,那么能解决三数之和么?](https://mp.weixin.qq.com/s/r5cgZFu0tv4grBAexdcd8A) + * [双指针法:一样的道理,能解决四数之和](https://mp.weixin.qq.com/s/nQrcco8AZJV1pAOVjeIU_g) + * [哈希表:总结篇!(每逢总结必经典)](https://mp.weixin.qq.com/s/1s91yXtarL-PkX07BfnwLg) + + +* 字符串 + * [字符串:这道题目,使用库函数一行代码搞定](https://mp.weixin.qq.com/s/X02S61WCYiCEhaik6VUpFA) + * [字符串:简单的反转还不够!](https://mp.weixin.qq.com/s/XGSk1GyPWhfqj2g7Cb1Vgw) + * [字符串:替换空格](https://mp.weixin.qq.com/s/t0A9C44zgM-RysAQV3GZpg) + * [字符串:花式反转还不够!](https://mp.weixin.qq.com/s/X3qpi2v5RSp08mO-W5Vicw) + * [字符串:反转个字符串还有这个用处?](https://mp.weixin.qq.com/s/PmcdiWSmmccHAONzU0ScgQ) + * [字符串:KMP是时候上场了](https://mp.weixin.qq.com/s/70OXnZ4Ez29CKRrUpVJmug) + * [字符串:都来看看KMP的看家本领!](https://mp.weixin.qq.com/s/Gk9FKZ9_FSWLEkdGrkecyg) + * [字符串:听说你对KMP有这些疑问?](https://mp.weixin.qq.com/s/mqx6IM2AO4kLZwvXdPtEeQ) + * [字符串:KMP算法还能干这个!](https://mp.weixin.qq.com/s/lR2JPtsQSR2I_9yHbBmBuQ) + * [字符串:前缀表不右移,难道就写不出KMP了?](https://mp.weixin.qq.com/s/p3hXynQM2RRROK5c6X7xfw) + * [字符串:总结篇!](https://mp.weixin.qq.com/s/gtycjyDtblmytvBRFlCZJg) + +* 双指针法 + * [数组:就移除个元素很难么?](https://mp.weixin.qq.com/s/wj0T-Xs88_FHJFwayElQlA) + * [字符串:这道题目,使用库函数一行代码搞定](https://mp.weixin.qq.com/s/X02S61WCYiCEhaik6VUpFA) + * [字符串:替换空格](https://mp.weixin.qq.com/s/t0A9C44zgM-RysAQV3GZpg) + * [字符串:花式反转还不够!](https://mp.weixin.qq.com/s/X3qpi2v5RSp08mO-W5Vicw) + * [链表:听说过两天反转链表又写不出来了?](https://mp.weixin.qq.com/s/pnvVP-0ZM7epB8y3w_Njwg) + * [链表:环找到了,那入口呢?](https://mp.weixin.qq.com/s/_QVP3IkRZWx9zIpQRgajzA) + * [哈希表:解决了两数之和,那么能解决三数之和么?](https://mp.weixin.qq.com/s/r5cgZFu0tv4grBAexdcd8A) + * [双指针法:一样的道理,能解决四数之和](https://mp.weixin.qq.com/s/nQrcco8AZJV1pAOVjeIU_g) + * [双指针法:总结篇!](https://mp.weixin.qq.com/s/_p7grwjISfMh0U65uOyCjA) + +* 栈与队列 + * [栈与队列:来看看栈和队列不为人知的一面](https://mp.weixin.qq.com/s/VZRjOccyE09aE-MgLbCMjQ) + * [栈与队列:我用栈来实现队列怎么样?](https://mp.weixin.qq.com/s/P6tupDwRFi6Ay-L7DT4NVg) + * [栈与队列:用队列实现栈还有点别扭](https://mp.weixin.qq.com/s/yzn6ktUlL-vRG3-m5a8_Yw) + * [栈与队列:系统中处处都是栈的应用](https://mp.weixin.qq.com/s/nLlmPMsDCIWSqAtr0jbrpQ) + * [栈与队列:匹配问题都是栈的强项](https://mp.weixin.qq.com/s/eynAEbUbZoAWrk0ZlEugqg) + * [栈与队列:有没有想过计算机是如何处理表达式的?](https://mp.weixin.qq.com/s/hneh2nnLT91rR8ms2fm_kw) + * [栈与队列:滑动窗口里求最大值引出一个重要数据结构](https://mp.weixin.qq.com/s/8c6l2bO74xyMjph09gQtpA) + * [栈与队列:求前 K 个高频元素和队列有啥关系?](https://mp.weixin.qq.com/s/8hMwxoE_BQRbzCc7CA8rng) + * [栈与队列:总结篇!](https://mp.weixin.qq.com/s/xBcHyvHlWq4P13fzxEtkPg) + +* 二叉树 + * [关于二叉树,你该了解这些!](https://mp.weixin.qq.com/s/_ymfWYvTNd2GvWvC5HOE4A) + * [二叉树:一入递归深似海,从此offer是路人](https://mp.weixin.qq.com/s/PwVIfxDlT3kRgMASWAMGhA) + * [二叉树:听说递归能做的,栈也能做!](https://mp.weixin.qq.com/s/c_zCrGHIVlBjUH_hJtghCg) + * [二叉树:前中后序迭代方式的写法就不能统一一下么?](https://mp.weixin.qq.com/s/WKg0Ty1_3SZkztpHubZPRg) + * [二叉树:层序遍历登场!](https://mp.weixin.qq.com/s/Gb3BjakIKGNpup2jYtTzog) + * [二叉树:你真的会翻转二叉树么?](https://mp.weixin.qq.com/s/6gY1MiXrnm-khAAJiIb5Bg) + * [本周小结!(二叉树)](https://mp.weixin.qq.com/s/JWmTeC7aKbBfGx4TY6uwuQ) + * [二叉树:我对称么?](https://mp.weixin.qq.com/s/Kgf0gjvlDlNDfKIH2b1Oxg) + * [二叉树:看看这些树的最大深度](https://mp.weixin.qq.com/s/guKwV-gSNbA1CcbvkMtHBg) + * [二叉树:看看这些树的最小深度](https://mp.weixin.qq.com/s/BH8-gPC3_QlqICDg7rGSGA) + * [二叉树:我有多少个节点?](https://mp.weixin.qq.com/s/2_eAjzw-D0va9y4RJgSmXw) + * [二叉树:我平衡么?](https://mp.weixin.qq.com/s/isUS-0HDYknmC0Rr4R8mww) + * [二叉树:找我的所有路径?](https://mp.weixin.qq.com/s/Osw4LQD2xVUnCJ-9jrYxJA) + * [还在玩耍的你,该总结啦!(本周小结之二叉树)](https://mp.weixin.qq.com/s/QMBUTYnoaNfsVHlUADEzKg) + * [二叉树:以为使用了递归,其实还隐藏着回溯](https://mp.weixin.qq.com/s/ivLkHzWdhjQQD1rQWe6zWA) + * [二叉树:做了这么多题目了,我的左叶子之和是多少?](https://mp.weixin.qq.com/s/gBAgmmFielojU5Wx3wqFTA) + * [二叉树:我的左下角的值是多少?](https://mp.weixin.qq.com/s/MH2gbLvzQ91jHPKqiub0Nw) + * [二叉树:递归函数究竟什么时候需要返回值,什么时候不要返回值?](https://mp.weixin.qq.com/s/6TWAVjxQ34kVqROWgcRFOg) + * [二叉树:构造二叉树登场!](https://mp.weixin.qq.com/s/7r66ap2s-shvVvlZxo59xg) + * [二叉树:构造一棵最大的二叉树](https://mp.weixin.qq.com/s/1iWJV6Aov23A7xCF4nV88w) + * [本周小结!(二叉树系列三)](https://mp.weixin.qq.com/s/JLLpx3a_8jurXcz6ovgxtg) + * [二叉树:合并两个二叉树](https://mp.weixin.qq.com/s/3f5fbjOFaOX_4MXzZ97LsQ) + * [二叉树:二叉搜索树登场!](https://mp.weixin.qq.com/s/vsKrWRlETxCVsiRr8v_hHg) + * [二叉树:我是不是一棵二叉搜索树](https://mp.weixin.qq.com/s/8odY9iUX5eSi0eRFSXFD4Q) + * [二叉树:搜索树的最小绝对差](https://mp.weixin.qq.com/s/Hwzml6698uP3qQCC1ctUQQ) + * [二叉树:我的众数是多少?](https://mp.weixin.qq.com/s/KSAr6OVQIMC-uZ8MEAnGHg) + * [二叉树:公共祖先问题](https://mp.weixin.qq.com/s/n6Rk3nc_X3TSkhXHrVmBTQ) + * [本周小结!(二叉树系列四)](https://mp.weixin.qq.com/s/CbdtOTP0N-HIP7DR203tSg) + * [二叉树:搜索树的公共祖先问题](https://mp.weixin.qq.com/s/Ja9dVw2QhBcg_vV-1fkiCg) + * [二叉树:搜索树中的插入操作](https://mp.weixin.qq.com/s/lwKkLQcfbCNX2W-5SOeZEA) + * [二叉树:搜索树中的删除操作](https://mp.weixin.qq.com/s/-p-Txvch1FFk3ygKLjPAKw) + * [二叉树:修剪一棵搜索树](https://mp.weixin.qq.com/s/QzmGfYUMUWGkbRj7-ozHoQ) + * [二叉树:构造一棵搜索树](https://mp.weixin.qq.com/s/sy3ygnouaZVJs8lhFgl9mw) + * [二叉树:搜索树转成累加树](https://mp.weixin.qq.com/s/hZtJh4T5lIGBarY-lZJf6Q) + * [二叉树:总结篇!(需要掌握的二叉树技能都在这里了)](https://mp.weixin.qq.com/s/-ZJn3jJVdF683ap90yIj4Q) + +* 回溯算法 + * [关于回溯算法,你该了解这些!](https://mp.weixin.qq.com/s/gjSgJbNbd1eAA5WkA-HeWw) + * [回溯算法:求组合问题!](https://mp.weixin.qq.com/s/OnBjbLzuipWz_u4QfmgcqQ) + * [回溯算法:组合问题再剪剪枝](https://mp.weixin.qq.com/s/Ri7spcJMUmph4c6XjPWXQA) + * [回溯算法:求组合总和!](https://mp.weixin.qq.com/s/HX7WW6ixbFZJASkRnCTC3w) + * [回溯算法:电话号码的字母组合](https://mp.weixin.qq.com/s/e2ua2cmkE_vpYjM3j6HY0A) + * [本周小结!(回溯算法系列一)](https://mp.weixin.qq.com/s/m2GnTJdkYhAamustbb6lmw) + * [回溯算法:求组合总和(二)](https://mp.weixin.qq.com/s/FLg8G6EjVcxBjwCbzpACPw) + * [回溯算法:求组合总和(三)](https://mp.weixin.qq.com/s/_1zPYk70NvHsdY8UWVGXmQ) + * [回溯算法:分割回文串](https://mp.weixin.qq.com/s/Pb1epUTbU8fHIht-g_MS5Q) + * [回溯算法:复原IP地址](https://mp.weixin.qq.com/s/v--VmA8tp9vs4bXCqHhBuA) + * [回溯算法:求子集问题!](https://mp.weixin.qq.com/s/NNRzX-vJ_pjK4qxohd_LtA) + * [本周小结!(回溯算法系列二)](https://mp.weixin.qq.com/s/uzDpjrrMCO8DOf-Tl5oBGw) + * [回溯算法:求子集问题(二)](https://mp.weixin.qq.com/s/WJ4JNDRJgsW3eUN72Hh3uQ) + +(持续更新.....) + + +# 视频篇 + +* 算法 + * 帮你把KMP算法学个通透!(理论篇):https://www.bilibili.com/video/BV1PD4y1o7nd + * 帮你把KMP算法学个通透!(代码篇):https://www.bilibili.com/video/BV1M5411j7Xx +* C++ + * 听说C++ primer 太厚了 看不进去?:https://www.bilibili.com/video/BV1Z5411874t + * C++ primer 第一章,你要知道的知识点还有这些!:https://www.bilibili.com/video/BV1Kv41117Ya + * C++ primer 第二章,开讲咯!:https://www.bilibili.com/video/BV1MA411j74g + +(持续更新.....)