From c08aa2602bac24d06cb294db062c650fb08ce737 Mon Sep 17 00:00:00 2001 From: youngyangyang04 <826123027@qq.com> Date: Fri, 6 Nov 2020 17:58:47 +0800 Subject: [PATCH] Update --- README.md | 2 + ...¹æ®æ•°å­—二进制下1的数目排åº.png | Bin 0 -> 36204 bytes pics/376.摆动åºåˆ—.png | Bin 0 -> 75285 bytes pics/376.摆动åºåˆ—1.png | Bin 0 -> 22469 bytes problems/0078.å­é›†.md | 158 ++++++++++++------ problems/0093.å¤åŽŸIP地å€.md | 1 + problems/0134.加油站.md | 71 ++++++++ problems/0135.分å‘ç³–æžœ.md | 21 +++ problems/0376.摆动åºåˆ—.md | 56 +++++++ ... ¹æ®æ•°å­—二进制下1的数目排åº.md | 71 ++++++++ 10 files changed, 330 insertions(+), 50 deletions(-) create mode 100644 pics/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.png create mode 100644 pics/376.摆动åºåˆ—.png create mode 100644 pics/376.摆动åºåˆ—1.png create mode 100644 problems/0134.加油站.md create mode 100644 problems/0135.分å‘ç³–æžœ.md create mode 100644 problems/0376.摆动åºåˆ—.md create mode 100644 problems/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.md diff --git a/README.md b/README.md index 69c285bc..1577975d 100644 --- a/README.md +++ b/README.md @@ -139,6 +139,7 @@ * [å›žæº¯ç®—æ³•ï¼šæ±‚ç»„åˆæ€»å’Œï¼ˆäºŒï¼‰](https://mp.weixin.qq.com/s/FLg8G6EjVcxBjwCbzpACPw) * [å›žæº¯ç®—æ³•ï¼šæ±‚ç»„åˆæ€»å’Œï¼ˆä¸‰ï¼‰](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:å¤åŽŸIP地å€](https://mp.weixin.qq.com/s/v--VmA8tp9vs4bXCqHhBuA) (æŒç»­æ›´æ–°ä¸­....) @@ -415,6 +416,7 @@ |[1002.查找常用字符](https://github.com/youngyangyang04/leetcode/blob/master/problems/1002.查找常用字符.md) |æ ˆ |简å•|**æ ˆ**| |[1047.删除字符串中的所有相邻é‡å¤é¡¹](https://github.com/youngyangyang04/leetcode/blob/master/problems/1047.删除字符串中的所有相邻é‡å¤é¡¹.md) |哈希表 |简å•|**哈希表/数组**| |[1207.独一无二的出现次数](https://github.com/youngyangyang04/leetcode/blob/master/problems/1207.独一无二的出现次数.md) |哈希表 |简å•|**哈希** 两层哈希| +|[1356.æ ¹æ®æ•°å­—二进制下1的数目排åº](https://github.com/youngyangyang04/leetcode/blob/master/problems/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.md) |ä½è¿ç®— |简å•|**ä½è¿ç®—** 巧妙的计算二进制中1的数é‡| 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z)G&CnBbADW6g`#3Ya9J!Eio1p9H1S@=WRCR1O-5`M8ktUeu#z;nhjgqwNAwVgN8z! zhzu65{Cmfg1JQAm{Kf!kW&NK%9#CR1?Jd3o8+~Z!Vj3g~rdMq~F$lOql3>_K<>bcq zb!b>1h05&lS=w|lI%Pm{o0{ptn9WIJl_1qor;@ojqE+J8n<=4vYLz96u2zG3`9fjuwLFvu#6rY<10WUM;TtB8 z?d5+kH@9At$eOrV(Y>*r;Ik{&DH*g0+2!}cO0HTTy@>&QE_f8+2JP@lFRNeQv($fn z4B@>XL?SDw>YHse1SSj^1jts}l!2pB66DQ!ZP>-n*sj6}WJi>cfxosq=jh1PIwf?| zcJ)BvC@*lTGSX|FSog!I3s@%*Q$!c1?hTkC>m}B81-$&({K7-uOG?)rR7hvKi}Hqc z06E-2jWG}2zV^LjIw5LaZHZ^w=0g=T!HQ#pUssHOFNs>P!g*DZUij}N5DdxXzNfhL en@j#bO=EhEeWT2k)P{715W22=sLs_yM$$hfB*Sk2 literal 0 HcmV?d00001 diff --git a/problems/0078.å­é›†.md b/problems/0078.å­é›†.md index 4987ed66..df7715c1 100644 --- a/problems/0078.å­é›†.md +++ b/problems/0078.å­é›†.md @@ -1,57 +1,74 @@ -# é¢˜ç›®åœ°å€ +> 认识本质之åŽï¼Œè¿™å°±æ˜¯ä¸€é“模æ¿é¢˜ # 第78题. å­é›† + +题目地å€ï¼šhttps://leetcode-cn.com/problems/subsets/ + 给定一组ä¸å«é‡å¤å…ƒç´ çš„æ•´æ•°æ•°ç»„ nums,返回该数组所有å¯èƒ½çš„å­é›†ï¼ˆå¹‚集)。 说明:解集ä¸èƒ½åŒ…å«é‡å¤çš„å­é›†ã€‚ 示例: - -输入: nums = [1,2,3] -输出: -[ - [3], -  [1], -  [2], -  [1,2,3], -  [1,3], -  [2,3], -  [1,2], -  [] -] - +输入: nums = [1,2,3] +输出: +[ + [3], +  [1], +  [2], +  [1,2,3], +  [1,3], +  [2,3], +  [1,2], +  [] +] # æ€è·¯ -求å­é›†é—®é¢˜å’Œ 求组åˆç»„åˆå’Œåˆ†å‰²é—®é¢˜åˆä¸ä¸€æ ·äº†ï¼Œ 如何把 å­é›†é—®é¢˜ã€ç»„åˆé—®é¢˜ã€åˆ†å‰²é—®é¢˜éƒ½æŠ½è±¡ä¸ºä¸€æ£µæ ‘çš„è¯ï¼Œé‚£ä¹ˆç»„åˆé—®é¢˜å’Œåˆ†å‰²é—®é¢˜éƒ½æ˜¯æ‰¾æ ‘çš„å¶å­èŠ‚ç‚¹ï¼Œè€Œå­é›†é—®é¢˜æ˜¯æ‰¾æ ‘çš„æ‰€æœ‰èŠ‚ç‚¹ï¼ +求å­é›†é—®é¢˜å’Œ[回溯算法:求组åˆé—®é¢˜ï¼](https://mp.weixin.qq.com/s/OnBjbLzuipWz_u4QfmgcqQ)å’Œ[回溯算法:分割问题ï¼](https://mp.weixin.qq.com/s/Pb1epUTbU8fHIht-g_MS5Q)åˆä¸ä¸€æ ·äº†ã€‚ -å–å­é›†ä¹Ÿæ˜¯ï¼Œå…¶å®žä¹Ÿæ˜¯ä¸€ç§ç»„åˆä½ç½®ï¼Œå› ä¸ºå®ƒçš„é›†åˆæ˜¯æ— åºçš„,å­é›†{1,2} å’Œ å­é›†{2,1}是一样的。 那么既然是无åºï¼Œå†™å›žæº¯ç®—法的时候,forå°±è¦ä»ŽstartIndexå¼€å§‹ï¼Œè€Œä¸æ˜¯ä»Ž0å¼€å§‹ï¼ +如果把 å­é›†é—®é¢˜ã€ç»„åˆé—®é¢˜ã€åˆ†å‰²é—®é¢˜éƒ½æŠ½è±¡ä¸ºä¸€æ£µæ ‘çš„è¯ï¼Œ**那么组åˆé—®é¢˜å’Œåˆ†å‰²é—®é¢˜éƒ½æ˜¯æ”¶é›†æ ‘çš„å¶å­èŠ‚ç‚¹ï¼Œè€Œå­é›†é—®é¢˜æ˜¯æ‰¾æ ‘的所有节点ï¼** -那有åŒå­¦é—®é¢˜ï¼Œä»€ä¹ˆæ—¶å€™ï¼Œforå¯ä»¥ä»Ž0开始,求排列问题的时候,就è¦ä»Ž0å¼€å§‹ï¼Œå› ä¸ºé›†åˆæ˜¯æœ‰åºçš„,{1, 2} å’Œ{2, 1}是两个集åˆã€‚ +其实å­é›†ä¹Ÿæ˜¯ä¸€ç§ç»„åˆé—®é¢˜ï¼Œå› ä¸ºå®ƒçš„é›†åˆæ˜¯æ— åºçš„,å­é›†{1,2} å’Œ å­é›†{2,1}是一样的。 + +**那么既然是无åºï¼Œå–过的元素ä¸ä¼šé‡å¤å–,写回溯算法的时候,forå°±è¦ä»ŽstartIndexå¼€å§‹ï¼Œè€Œä¸æ˜¯ä»Ž0开始ï¼** + +有åŒå­¦é—®äº†ï¼Œä»€ä¹ˆæ—¶å€™forå¯ä»¥ä»Ž0开始呢? + +求排列问题的时候,就è¦ä»Ž0å¼€å§‹ï¼Œå› ä¸ºé›†åˆæ˜¯æœ‰åºçš„,{1, 2} å’Œ{2, 1}是两个集åˆï¼ŒæŽ’列问题我们åŽç»­çš„æ–‡ç« å°±ä¼šè®²åˆ°çš„。 以示例中nums = [1,2,3]为例把求å­é›†æŠ½è±¡ä¸ºæ ‘型结构,如下: -从图中,å¯ä»¥çœ‹å‡ºï¼Œé历这个树的时候,把所有节点都记录下æ¥ï¼Œå°±æ˜¯è¦æ±‚çš„å­é›†ã€‚ +从图中红线部分,å¯ä»¥çœ‹å‡º**é历这个树的时候,把所有节点都记录下æ¥ï¼Œå°±æ˜¯è¦æ±‚çš„å­é›†é›†åˆ**。 -æ¥çœ‹ä¸€ä¸‹æˆ‘æ€»ç»“çš„å›žæº¯æ¨¡æ¿æ¥ï¼š +## 回溯三部曲 + +* é€’å½’å‡½æ•°å‚æ•° + +全局å˜é‡æ•°ç»„path为å­é›†æ”¶é›†å…ƒç´ ï¼ŒäºŒç»´æ•°ç»„result存放å­é›†ç»„åˆã€‚(也å¯ä»¥æ”¾åˆ°é€’å½’å‡½æ•°å‚æ•°é‡Œï¼‰ + +é€’å½’å‡½æ•°å‚æ•°åœ¨ä¸Šé¢è®²åˆ°äº†ï¼Œéœ€è¦startIndex。 + +代ç å¦‚下: ``` -backtracking() { - if (终止æ¡ä»¶) { - 存放结果; - } - - for (选择:选择列表(å¯ä»¥æƒ³æˆæ ‘中节点孩å­çš„æ•°é‡ï¼‰) { - 递归,处ç†èŠ‚ç‚¹; - backtracking(); - 回溯,撤销处ç†ç»“æžœ - } -} +vector> result; +vector path; +void backtracking(vector& nums, int startIndex) { ``` -首先是终止æ¡ä»¶ï¼Œç»ˆæ­¢æ¡ä»¶ï¼Œå°±æ˜¯startIndexå·²ç»å¤§äºŽæ•°ç»„的长度了,就是终止了,代ç å¦‚下: +* 递归终止æ¡ä»¶ + +从图中å¯ä»¥çœ‹å‡ºï¼š + + + +剩余集åˆä¸ºç©ºçš„æ—¶å€™ï¼Œå°±æ˜¯å¶å­èŠ‚ç‚¹ã€‚ + +那么什么时候剩余集åˆä¸ºç©ºå‘¢ï¼Ÿ + +就是startIndexå·²ç»å¤§äºŽæ•°ç»„的长度了,就终止了,因为没有元素å¯å–了,代ç å¦‚下: ``` if (startIndex >= nums.size()) { @@ -59,35 +76,42 @@ if (startIndex >= nums.size()) { } ``` -ä½†æ˜¯ï¼Œè¦æ˜Žç¡®çš„æ˜¯ï¼Œ**求å–å­é›†é—®é¢˜ï¼Œå…¶å®žæ²¡æœ‰å¿…è¦åŠ ç»ˆæ­¢æ¡ä»¶ï¼Œå› ä¸ºå­é›†å°±æ˜¯è¦é历整个一棵树,ä¸éœ€è¦ä»»ä½•剪æžï¼** +**其实å¯ä»¥ä¸éœ€è¦åŠ ç»ˆæ­¢æ¡ä»¶ï¼Œå› ä¸ºstartIndex >= nums.size(),本层for循环本æ¥ä¹Ÿç»“æŸäº†**。 -å¤§å®¶ä¸€ä¼šçœ‹åˆ°ä¸‹é¢æ•´ä½“代ç çš„æ—¶å€™å°±çŸ¥é“了。 +* å•层æœç´¢é€»è¾‘ -ç„¶åŽå°±æ˜¯çœ‹å¦‚何写for循环,**因为求å­é›†ä¹Ÿæ˜¯æ— åºçš„,所以for循环è¦ä»ŽstartIndex开始ï¼** +**求å–å­é›†é—®é¢˜ï¼Œä¸éœ€è¦ä»»ä½•剪æžï¼å› ä¸ºå­é›†å°±æ˜¯è¦é历整棵树**。 -代ç å¦‚下: +那么å•层递归逻辑代ç å¦‚下: ``` for (int i = startIndex; i < nums.size(); i++) { -``` - -接下æ¥å°±æ˜¯é€’归与回溯,定一个`vector path`ï¼Œç”¨æ¥æ”¶é›†å­é›†çš„元素,在回溯的时候还è¦å¼¹å‡ºï¼Œbacktrackingæ¯æ¬¡è°ƒç”¨è‡ªå·±çš„æ—¶å€™ï¼Œè®°ç€è¦ä»Ži+1 开始,代ç å¦‚下: - -``` -for (int i = startIndex; i < nums.size(); i++) { - path.push_back(nums[i]); - backtracking(nums, i + 1); - path.pop_back(); + path.push_back(nums[i]); // å­é›†æ”¶é›†å…ƒç´  + backtracking(nums, i + 1); // 注æ„从i+1开始,元素ä¸é‡å¤å– + path.pop_back(); // 回溯 } ``` -é‡ç‚¹ä»£ç åˆ†æžå®Œä¹‹åŽï¼Œæ•´ä½“代ç å¦‚下: +## C++ä»£ç  -å¯ä»¥å‘现我在backtracking里并没有写终止æ¡ä»¶ï¼Œå› ä¸ºæœ¬æ¥æˆ‘们就è¦é历整颗树。 +æ ¹æ®[关于回溯算法,你该了解这些ï¼](https://mp.weixin.qq.com/s/gjSgJbNbd1eAA5WkA-HeWw)给出的回溯算法模æ¿ï¼š -有的åŒå­¦å¯èƒ½æ‹…心会ä¸ä¼šæ— é™é€’归? å¹¶ä¸ä¼šï¼Œå› ä¸ºæ¯æ¬¡é€’归的下一层就是从i+1开始的。 +``` +void backtracking(傿•°) { + if (终止æ¡ä»¶) { + 存放结果; + return; + } -# C++ä»£ç  + for (选择:本层集åˆä¸­å…ƒç´ ï¼ˆæ ‘中节点孩å­çš„æ•°é‡å°±æ˜¯é›†åˆçš„大å°ï¼‰) { + 处ç†èŠ‚ç‚¹; + backtracking(路径,选择列表); // 递归 + 回溯,撤销处ç†ç»“æžœ + } +} +``` + +å¯ä»¥å†™å‡ºå¦‚下回溯算法C++代ç ï¼š ``` class Solution { @@ -95,7 +119,10 @@ private: vector> result; vector path; void backtracking(vector& nums, int startIndex) { - result.push_back(path); + result.push_back(path); // 收集å­é›† + if (startIndex >= nums.size()) { // 终止æ¡ä»¶å¯ä»¥ä¸åŠ  + return; + } for (int i = startIndex; i < nums.size(); i++) { path.push_back(nums[i]); backtracking(nums, i + 1); @@ -110,4 +137,35 @@ public: return result; } }; + ``` + +在注释中,å¯ä»¥å‘现å¯ä»¥ä¸å†™ç»ˆæ­¢æ¡ä»¶ï¼Œå› ä¸ºæœ¬æ¥æˆ‘们就è¦é历整颗树。 + +有的åŒå­¦å¯èƒ½æ‹…心ä¸å†™ç»ˆæ­¢æ¡ä»¶ä¼šä¸ä¼šæ— é™é€’归? + +å¹¶ä¸ä¼šï¼Œå› ä¸ºæ¯æ¬¡é€’归的下一层就是从i+1开始的。 + +# 总结 + +相信大家ç»è¿‡äº† +* 组åˆé—®é¢˜ï¼š + * [回溯算法:求组åˆé—®é¢˜ï¼](https://mp.weixin.qq.com/s/OnBjbLzuipWz_u4QfmgcqQ) + * [回溯算法:组åˆé—®é¢˜å†å‰ªå‰ªæž](https://mp.weixin.qq.com/s/Ri7spcJMUmph4c6XjPWXQA) + * [å›žæº¯ç®—æ³•ï¼šæ±‚ç»„åˆæ€»å’Œï¼](https://mp.weixin.qq.com/s/HX7WW6ixbFZJASkRnCTC3w) + * [回溯算法:电è¯å·ç çš„å­—æ¯ç»„åˆ](https://mp.weixin.qq.com/s/e2ua2cmkE_vpYjM3j6HY0A) + * [å›žæº¯ç®—æ³•ï¼šæ±‚ç»„åˆæ€»å’Œï¼ˆäºŒï¼‰](https://mp.weixin.qq.com/s/FLg8G6EjVcxBjwCbzpACPw) + * [å›žæº¯ç®—æ³•ï¼šæ±‚ç»„åˆæ€»å’Œï¼ˆä¸‰ï¼‰](https://mp.weixin.qq.com/s/_1zPYk70NvHsdY8UWVGXmQ) +* 分割问题: + * [回溯算法:分割回文串](https://mp.weixin.qq.com/s/Pb1epUTbU8fHIht-g_MS5Q) + * [回溯算法:å¤åŽŸIP地å€](https://mp.weixin.qq.com/s/v--VmA8tp9vs4bXCqHhBuA) + +洗礼之åŽï¼Œå‘现å­é›†é—®é¢˜è¿˜çœŸçš„æœ‰ç‚¹ç®€å•äº†ï¼Œå…¶å®žè¿™å°±æ˜¯ä¸€é“æ ‡å‡†çš„æ¨¡æ¿é¢˜ã€‚ + +ä½†æ˜¯è¦æ¸…楚å­é›†é—®é¢˜å’Œç»„åˆé—®é¢˜ã€åˆ†å‰²é—®é¢˜çš„的区别,**å­é›†æ˜¯æ”¶é›†æ ‘形结构中树的所有节点的结果**。 + +**而组åˆé—®é¢˜ã€åˆ†å‰²é—®é¢˜æ˜¯æ”¶é›†æ ‘形结构中å¶å­èŠ‚ç‚¹çš„ç»“æžœ**。 + +**就酱,如果感觉收获满满,就帮Carl宣传一波「代ç éšæƒ³å½•ã€å§ï¼** + + diff --git a/problems/0093.å¤åŽŸIP地å€.md b/problems/0093.å¤åŽŸIP地å€.md index ab6621d8..c7150033 100644 --- a/problems/0093.å¤åŽŸIP地å€.md +++ b/problems/0093.å¤åŽŸIP地å€.md @@ -223,6 +223,7 @@ private: public: vector restoreIpAddresses(string s) { result.clear(); + if (s.size() > 12) return result; // 算是剪æžäº† backtracking(s, 0, 0); return result; } diff --git a/problems/0134.加油站.md b/problems/0134.加油站.md new file mode 100644 index 00000000..50872b48 --- /dev/null +++ b/problems/0134.加油站.md @@ -0,0 +1,71 @@ + +# æ€è·¯ + +è¿™é“题目贪心ä¸å¥½è®²è§£å•Š + +如果 get总和大于cost总和,那么一定是å¯ä»¥è·‘一圈的,因为油是å¯ä»¥å­˜å‚¨çš„。 + +本题贪心的æ€è·¯ï¼Œä¸æ˜¯é‚£ä¹ˆå¥½æƒ³ã€‚ + +那么æ¥çœ‹ä¸€ä¸‹è´ªå¿ƒä¸»è¦è´ªåœ¨å“ªé‡Œ + +* 如果gas的总和å°äºŽcost总和,那么无论从哪里出å‘,一定是跑ä¸äº†ä¸€åœˆçš„ +* remain[i] = gas[i]-cost[i]为一天剩下的油,remain[i],i从0开始计算累加到最åŽä¸€ç«™ï¼Œå¦‚果累加没有出现负数,说明从0出å‘,油就没有断过,那么0就是起点。 + +* 如果累加的最å°å€¼æ˜¯è´Ÿæ•°ï¼Œå°±è¦ä»Žéž0节点出å‘,从åŽå‘å‰ï¼Œçœ‹é‚£ä¸ªèŠ‚ç‚¹èƒ½è¿™ä¸ªè´Ÿæ•°å¡«å¹³ã€‚ + +这个方法太ç»äº† +``` +class Solution { +public: + int canCompleteCircuit(vector& gas, vector& cost) { + int curSum = 0; + int totalSum = 0; + int start = 0; + for (int i = 0; i < gas.size(); i++) { + curSum += gas[i] - cost[i]; + totalSum += gas[i] - cost[i]; + if (curSum < 0) { + start = i + 1; + curSum = 0; + } + } + if (totalSum < 0) return -1; + return start; + } +}; +``` + +è¿™ä¸ªæ–¹æ³•å¤ªå¤æ‚了 +``` +class Solution { +public: + int canCompleteCircuit(vector& gas, vector& cost) { + int remainSum = 0; + int min = INT_MAX; // 从起点出å‘ï¼Œæ²¹ç®±é‡Œçš„æ²¹é‡ + for (int i = 0; i < gas.size(); i++) { + int remain = gas[i] - cost[i]; + remainSum += remain; + if (remainSum < min) { + min = remainSum; + } + } + if (remainSum < 0) return -1; // 如果总油é‡-总消耗都å°äºŽé›¶ï¼Œä¸€å®šæ˜¯å“ªé‡Œä½œä¸ºèµ·ç‚¹éƒ½ä¸è¡Œ + if (min >= 0) return 0; // 从0çš„ä½ç½®å‡ºå‘ï¼Œæ²¹ç®±é‡Œçš„æ²¹é‡æ²¡æœ‰å‡ºçŽ°è´Ÿæ•°ï¼Œè¯´æ˜Žä»Ž0触å‘å¯ä»¥è·‘一圈 + // å¦åˆ™å°±ä¸€å®šæ˜¯ä»Žå…¶ä»–èŠ‚ç‚¹è§¦å‘ + // 从åŽå‘å‰é历,如果那个节点å¯ä»¥è¡¥ä¸Šä»Ž0è§¦å‘æ²¹ç®±å‡ºçŽ°è´Ÿæ•°çš„æƒ…å†µï¼Œé‚£ä¹ˆè¿™ä¸ªi就是起点 + for (int i = gas.size() - 1; i >= 0; i--) { + int remain = gas[i] - cost[i]; + min += remain; + if (min >= 0) { + return i; + } + } + + return -1; + + } +}; +``` + + diff --git a/problems/0135.分å‘ç³–æžœ.md b/problems/0135.分å‘ç³–æžœ.md new file mode 100644 index 00000000..7a27091c --- /dev/null +++ b/problems/0135.分å‘ç³–æžœ.md @@ -0,0 +1,21 @@ + +è¿™é“题目上æ¥ä¹Ÿæ˜¯æ²¡ä»€ä¹ˆæ€è·¯å•Š +``` +class Solution { +public: + int candy(vector& ratings) { + vector candyVec(ratings.size(), 1); + for (int i = 1; i < ratings.size(); i++) { + if (ratings[i] > ratings[i - 1]) candyVec[i] = candyVec[i - 1] + 1; + } + 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; + } + } + int result = 0; + for (int i = 0; i < candyVec.size(); i++) result += candyVec[i]; + return result; + } +}; +``` diff --git a/problems/0376.摆动åºåˆ—.md b/problems/0376.摆动åºåˆ—.md new file mode 100644 index 00000000..dc799f3a --- /dev/null +++ b/problems/0376.摆动åºåˆ—.md @@ -0,0 +1,56 @@ + +题目链接: https://leetcode-cn.com/problems/wiggle-subsequence/ + +## æ€è·¯ + +æœ¬é¢˜è¦æ±‚通过从原始åºåˆ—中删除一些(也å¯ä»¥ä¸åˆ é™¤ï¼‰å…ƒç´ æ¥èŽ·å¾—å­åºåˆ—ï¼Œå‰©ä¸‹çš„å…ƒç´ ä¿æŒå…¶åŽŸå§‹é¡ºåºã€‚ + +相信这么一说å“退ä¸å°‘åŒå­¦ï¼Œè¿™åˆå¯ä»¥ä¿®æ”¹æ•°ç»„,这得如何修改呢? + +我们æ¥åˆ†æžä¸€ä¸‹ï¼Œè¦æ±‚删除元素使其达到最大摆动åºåˆ—,应该删除什么元素呢? + +用示例二æ¥ä¸¾ä¾‹ï¼Œå¦‚图所示: + + + +图中å¯ä»¥çœ‹å‡ºï¼Œä¸ºäº†è®©æ‘†åЍåºåˆ—最长,åªéœ€è¦æŠŠå•一å¡åº¦ï¼ˆé€’增或者递å‡ï¼‰ä¸Šçš„节点删掉就å¯ä»¥äº†ã€‚ + +**这就是贪心所贪的地方,让峰值尽å¯èƒ½çš„ä¿æŒå³°å€¼ï¼Œç„¶åŽåˆ é™¤å•一å¡åº¦ä¸Šçš„节点**。 + +**实际æ“作上,其实练删除的æ“作都ä¸ç”¨åšï¼Œå› ä¸ºé¢˜ç›®è¦æ±‚的是摆动åºåˆ—的长度,所以åªéœ€è¦ç»Ÿè®¡æ•°ç»„的峰值数é‡å°±å¯ä»¥äº†ï¼ˆç›¸å½“于是删除å•一å¡åº¦ä¸Šçš„节点,然åŽç»Ÿè®¡é•¿åº¦ï¼‰** + +代ç å®žçŽ°ä¸­ï¼Œè¿˜æœ‰ä¸€äº›æŠ€å·§ï¼Œä¾‹å¦‚ç»Ÿè®¡å³°å€¼çš„æ—¶å€™ï¼Œæ•°ç»„æœ€å·¦é¢å’Œæœ€å³é¢æ˜¯æœ€ä¸å¥½ç»Ÿè®¡çš„。 + +例如数组[2,5]ï¼Œå®ƒçš„å³°å€¼æ•°é‡æ˜¯2,如果é ç»Ÿè®¡å·®å€¼æ¥è®¡ç®—峰值就需è¦è€ƒè™‘数组最左é¢å’Œæœ€å³é¢çš„特殊情况。 + +所以å¯ä»¥é’ˆå¯¹æ•°ç»„[2,5],å‡è®¾ä¸º[2,2,5],这样它就有å¡åº¦äº†ï¼Œå¦‚图: + + + +这样resultåˆå§‹ä¸º1,curDiff > 0 && preDiff <= 0,result++,最åŽå¾—到的result就是2了。 + +C++代ç å¦‚下: + +``` +class Solution { +public: + int wiggleMaxLength(vector& nums) { + if (nums.size() <= 1) return nums.size(); + int curDiff = 0; // 当å‰ä¸€å¯¹å·®å€¼ + int preDiff = 0; // å‰ä¸€å¯¹å·®å€¼ + int result = 1; // 记录峰值,起始ä½ç½®å³°å€¼ä¸º1 + for (int i = 1; i < nums.size(); i++) { + curDiff = nums[i] - nums[i - 1]; + // 出现峰值 + if ((curDiff > 0 && preDiff <= 0) || (preDiff >= 0 && curDiff < 0)) { + result++; + preDiff = curDiff; + } + } + return result; + } +}; +``` + +> 我是[程åºå‘˜Carl](https://github.com/youngyangyang04),组队刷题å¯ä»¥æ‰¾æˆ‘,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ç éšæƒ³å½•](https://img-blog.csdnimg.cn/20200815195519696.png)ï¼ŒæœŸå¾…ä½ çš„å…³æ³¨ï¼ + diff --git a/problems/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.md b/problems/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.md new file mode 100644 index 00000000..6437eb39 --- /dev/null +++ b/problems/1356.æ ¹æ®æ•°å­—二进制下1的数目排åº.md @@ -0,0 +1,71 @@ + +## 题目链接 +https://leetcode-cn.com/problems/sort-integers-by-the-number-of-1-bits/ + +## æ€è·¯ + +è¿™é“题其实是考察如何计算一个数的二进制中1的数é‡ã€‚ + +我æä¾›ä¸¤ç§æ–¹æ³•: + +* 方法一: + +æœ´å®žæ— åŽæŒ¨ä¸ªè®¡ç®—1的数é‡ï¼Œæœ€å¤šå°±æ˜¯å¾ªçޝnçš„äºŒè¿›åˆ¶ä½æ•°ï¼Œ32ä½ã€‚ + +``` +int bitCount(int n) { + int count = 0; // 计数器 + while (n > 0) { + if((n & 1) == 1) count++; // 当å‰ä½æ˜¯1,count++ + n >>= 1 ; // nå‘å³ç§»ä½ + } + return count; +} +``` + +* 方法二 + +è¿™ç§æ–¹æ³•,åªå¾ªçޝn的二进制中1的个数次,比方法一高效的多 + +``` +int bitCount(int n) { + int count = 0; + while (n) { + n &= (n - 1); // 清除最低ä½çš„1 + count++; + } + return count; +} +``` +以计算12的二进制1的数é‡ä¸ºä¾‹ï¼Œå¦‚图所示: + + + +䏋颿ˆ‘就使用方法二,æ¥åšè¿™é“题目: + +## C++ä»£ç  + +``` +class Solution { +private: + static int bitCount(int n) { // 计算n的二进制中1çš„æ•°é‡ + int count = 0; + while(n) { + n &= (n -1); // 清除最低ä½çš„1 + count++; + } + return count; + } + static bool cmp(int a, int b) { + int bitA = bitCount(a); + int bitB = bitCount(b); + if (bitA == bitB) return a < b; // 如果bit中1æ•°é‡ç›¸åŒï¼Œæ¯”è¾ƒæ•°å€¼å¤§å° + return bitA < bitB; // å¦åˆ™æ¯”较bit中1æ•°é‡å¤§å° + } +public: + vector sortByBits(vector& arr) { + sort(arr.begin(), arr.end(), cmp); + return arr; + } +}; +```