From 342a2979df961fe30d3e48e9fd1076b48f2f8a5d Mon Sep 17 00:00:00 2001 From: youngyangyang04 <826123027@qq.com> Date: Sat, 7 Nov 2020 20:52:37 +0800 Subject: [PATCH] Update --- README.md | 2 + pics/131.分割回文串.png | Bin 115908 -> 117730 bytes pics/39.组合总和.png | Bin 192503 -> 172258 bytes problems/0078.子集.md | 2 +- problems/0135.分发糖果.md | 6 ++ problems/哈希表总结.md | 120 ++++++++++++++++++++++++++++++++++ 6 files changed, 129 insertions(+), 1 deletion(-) create mode 100644 problems/哈希表总结.md diff --git a/README.md b/README.md index 1577975d..a68654cd 100644 --- a/README.md +++ b/README.md @@ -55,6 +55,7 @@ * [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 @@ -140,6 +141,7 @@ * [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) (持续更新中....) diff --git a/pics/131.分割回文串.png b/pics/131.分割回文串.png index 3c282d6d231340f0a38de7bd6b8774a270bf5e4b..0b50823f86fa1ef860ec4bed0fdd797a19893cd2 100644 GIT binary patch literal 117730 zcmeGEbyQUA8$OH!qLhjbm_y`bzk@6uOKIWj`%t;4i3&aNeM9}92|U4 z9Gp{62+x4;lqKD{2>!vfR}vS+$?Lo^5B^8YR728CRu+dDd`*ah>-Q7~ANmORdma1* zznYATa|-;63w%W8$x128fGWOK~}DTiP2+6-GjWUyef+aUtXVfs}FuNG*82LlUa>i?7;&? 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zwkQ9s2l?-K^0$lp>$LrSvUWqo|1VOxILx4J7JQY&dlcdIf3}sU9(r5J%HRmzU2jlq rt48Jmu;1f<2=@PL0)c^c5O$a>OT#g*!%hkA1O9Y14Kzw`*gpLa8$?C} diff --git a/problems/0078.子集.md b/problems/0078.子集.md index df7715c1..05bc45c0 100644 --- a/problems/0078.子集.md +++ b/problems/0078.子集.md @@ -119,7 +119,7 @@ private: vector> result; vector path; void backtracking(vector& nums, int startIndex) { - result.push_back(path); // 收集子集 + result.push_back(path); // 收集子集,要放在终止添加的上面,否则会漏掉自己 if (startIndex >= nums.size()) { // 终止条件可以不加 return; } diff --git a/problems/0135.分发糖果.md b/problems/0135.分发糖果.md index 7a27091c..f3bcafeb 100644 --- a/problems/0135.分发糖果.md +++ b/problems/0135.分发糖果.md @@ -1,18 +1,24 @@ 这道题目上来也是没什么思路啊 + + +这道题目不好想啊,贪心很巧妙 ``` class Solution { public: int candy(vector& ratings) { vector candyVec(ratings.size(), 1); + // 从前向后 for (int i = 1; i < ratings.size(); i++) { if (ratings[i] > ratings[i - 1]) candyVec[i] = candyVec[i - 1] + 1; } + // 从后向前 for (int i = ratings.size() - 2; i >= 0; i--) { if (ratings[i] > ratings[i + 1] && candyVec[i] < candyVec[i + 1] + 1) { candyVec[i] = candyVec[i + 1] + 1; } } + // 统计结果 int result = 0; for (int i = 0; i < candyVec.size(); i++) result += candyVec[i]; return result; diff --git a/problems/哈希表总结.md b/problems/哈希表总结.md new file mode 100644 index 00000000..d23c4ef2 --- /dev/null +++ b/problems/哈希表总结.md @@ -0,0 +1,120 @@ + +> 哈希表总结篇如约而至 + +哈希表系列也是早期讲解的时候没有写总结篇,所以选个周末给补上,毕竟「代码随想录」的系列怎么能没有总结篇呢[机智]。 + +# 哈希表理论基础 + +在[关于哈希表,你该了解这些!](https://mp.weixin.qq.com/s/g8N6WmoQmsCUw3_BaWxHZA)中,我们介绍了哈希表的基础理论知识,不同于枯燥的讲解,这里介绍了都是对刷题有帮助的理论知识点。 + +**一般来说哈希表都是用来快速判断一个元素是否出现集合里**。 + +对于哈希表,要知道**哈希函数**和**哈希碰撞**在哈希表中的作用. + +哈希函数是把传入的key映射到符号表的索引上。 + +哈希碰撞处理有多个key映射到相同索引上时的情景,处理碰撞的普遍方式是拉链法和线性探测法。 + +接下来是常见的三种哈希结构: + +* 数组 +* set(集合) +* map(映射) + +在C++语言中,set 和 map 都分别提供了三种数据结构,每种数据结构的底层实现和用途都有所不同,在[关于哈希表,你该了解这些!](https://mp.weixin.qq.com/s/g8N6WmoQmsCUw3_BaWxHZA)中我给出了详细分析,这一知识点很重要! + +例如什么时候用std::set,什么时候用std::multiset,什么时候用std::unordered_set,都是很有考究的。 + +**只有对这些数据结构的底层实现很熟悉,才能灵活使用,否则很容易写出效率低下的程序**。 + +# 哈希表经典题目 + +## 数组作为哈希表 + +一些应用场景就是为数组量身定做的。 + +在[哈希表:有效的字母异位词](https://mp.weixin.qq.com/s/vM6OszkM6L1Mx2Ralm9Dig)中,我们提到了数组就是简单的哈希表,但是数组的大小是受限的! + +这道题目包含小写字母,那么使用数组来做哈希最合适不过。 + +在[哈希表:赎金信](https://mp.weixin.qq.com/s/sYZIR4dFBrw_lr3eJJnteQ)中同样要求只有小写字母,那么就给我们浓浓的暗示,用数组! + +本题和[哈希表:有效的字母异位词](https://mp.weixin.qq.com/s/vM6OszkM6L1Mx2Ralm9Dig)很像,[哈希表:有效的字母异位词](https://mp.weixin.qq.com/s/vM6OszkM6L1Mx2Ralm9Dig)是求 字符串a 和 字符串b 是否可以相互组成,在[哈希表:赎金信](https://mp.weixin.qq.com/s/sYZIR4dFBrw_lr3eJJnteQ)中是求字符串a能否组成字符串b,而不用管字符串b 能不能组成字符串a。 + +一些同学可能想,用数组干啥,都用map不就完事了。 + +**上面两道题目用map确实可以,但使用map的空间消耗要比数组大一些,因为map要维护红黑树或者符号表,而且还要做哈希函数的运算。所以数组更加简单直接有效!** + + +## set作为哈希表 + +在[哈希表:两个数组的交集](https://mp.weixin.qq.com/s/N9iqAchXreSVW7zXUS4BVA)中我们给出了什么时候用数组就不行了,需要用set。 + +这道题目没有限制数值的大小,就无法使用数组来做哈希表了。 + +**主要因为如下两点:** + +* 数组的大小是有限的,受到系统栈空间(不是数据结构的栈)的限制。 +* 如果数组空间够大,但哈希值比较少、特别分散、跨度非常大,使用数组就造成空间的极大浪费。 + +所以此时一样的做映射的话,就可以使用set了。 + +关于set,C++ 给提供了如下三种可用的数据结构:(详情请看[关于哈希表,你该了解这些!](https://mp.weixin.qq.com/s/g8N6WmoQmsCUw3_BaWxHZA)) + +* std::set +* std::multiset +* std::unordered_set + +std::set和std::multiset底层实现都是红黑树,std::unordered_set的底层实现是哈希, 使用unordered_set 读写效率是最高的,本题并不需要对数据进行排序,而且还不要让数据重复,所以选择unordered_set。 + +在[哈希表:快乐数](https://mp.weixin.qq.com/s/G4Q2Zfpfe706gLK7HpZHpA)中,我们再次使用了unordered_set来判断一个数是否重复出现过。 + + +## map作为哈希表 + +在[哈希表:两数之和](https://mp.weixin.qq.com/s/uVAtjOHSeqymV8FeQbliJQ)中map正式登场。 + +来说一说:使用数组和set来做哈希法的局限。 + +* 数组的大小是受限制的,而且如果元素很少,而哈希值太大会造成内存空间的浪费。 +* set是一个集合,里面放的元素只能是一个key,而两数之和这道题目,不仅要判断y是否存在而且还要记录y的下表位置,因为要返回x 和 y的下表。所以set 也不能用。 + +map是一种``的结构,本题可以用key保存数值,用value在保存数值所在的下表。所以使用map最为合适。 + +C++提供如下三种map::(详情请看[关于哈希表,你该了解这些!](https://mp.weixin.qq.com/s/g8N6WmoQmsCUw3_BaWxHZA)) + +* std::map +* std::multimap +* std::unordered_map + +std::unordered_map 底层实现为哈希,std::map 和std::multimap 的底层实现是红黑树。 + +同理,std::map 和std::multimap 的key也是有序的(这个问题也经常作为面试题,考察对语言容器底层的理解),[哈希表:两数之和](https://mp.weixin.qq.com/s/uVAtjOHSeqymV8FeQbliJQ)中并不需要key有序,选择std::unordered_map 效率更高! + +在[哈希表:四数相加II](https://mp.weixin.qq.com/s/Ue8pKKU5hw_m-jPgwlHcbA)中我们提到了其实需要哈希的地方都能找到map的身影。 + +本题咋眼一看好像和[18. 四数之](https://mp.weixin.qq.com/s/r5cgZFu0tv4grBAexdcd8A),[15.三数之和](https://mp.weixin.qq.com/s/nQrcco8AZJV1pAOVjeIU_g)差不多,其实差很多! + +**关键差别是本题为四个独立的数组,只要找到A[i] + B[j] + C[k] + D[l] = 0就可以,不用考虑重复问题,而[18. 四数之](https://mp.weixin.qq.com/s/r5cgZFu0tv4grBAexdcd8A),[15.三数之和](https://mp.weixin.qq.com/s/nQrcco8AZJV1pAOVjeIU_g)是一个数组(集合)里找到和为0的组合,可就难很多了!** + +用哈希法解决了两数之和,很多同学会感觉用哈希法也可以解决三数之和,四数之和。 + +其实是可以解决,但是非常麻烦,需要去重导致代码效率很低。 + +在[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)中我给出了哈希法和双指针两个解法,大家就可以体会到,使用哈希法还是比较麻烦的。 + +所以[18. 四数之](https://mp.weixin.qq.com/s/r5cgZFu0tv4grBAexdcd8A),[15.三数之和](https://mp.weixin.qq.com/s/nQrcco8AZJV1pAOVjeIU_g)都推荐使用双指针法! + +# 总结 + +对于哈希表的知识相信很多同学都知道,但是没有成体系。 + +本篇我们从哈希表的理论基础到数组、set和map的经典应用,把哈希表的整个全貌完整的呈现给大家。 + +**同时也强调虽然map是万能的,详细介绍了什么时候用数组,什么时候用set**。 + +相信通过这个总结篇,大家可以对哈希表有一个全面的了解。 + +**就酱,如果关注「代码随想录」之后收获满满,就转发给身边的同学朋友吧!** + +