{"id":56814,"date":"2025-08-14T23:34:54","date_gmt":"2025-08-14T15:34:54","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/56814.html"},"modified":"2025-08-14T23:34:54","modified_gmt":"2025-08-14T15:34:54","slug":"leetcode-hot-100%e3%80%90%e5%90%88%e5%b9%b6%e5%8c%ba%e9%97%b4-%e6%9c%80%e5%a4%a7%e5%ad%90%e6%95%b0%e7%bb%84%e5%92%8c%e3%80%91","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/56814.html","title":{"rendered":"LeetCode\u2014\u2014Hot 100\u3010\u5408\u5e76\u533a\u95f4 \u6700\u5927\u5b50\u6570\u7ec4\u548c\u3011"},"content":{"rendered":"

\u9898\u76ee（\u4e00）<\/h3>\n

\u9898\u76ee\u94fe\u63a5：\u5408\u5e76\u533a\u95f4<\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \u533a\u95f4\u5408\u5e76\u662f\u7b97\u6cd5\u9762\u8bd5\u4e2d\u975e\u5e38\u7ecf\u5178\u7684\u95ee\u9898，\u672c\u6587\u5c06\u8be6\u7ec6\u8bb2\u89e3\u5982\u4f55\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898，\u5305\u62ec\u89e3\u9898\u601d\u8def\u3001\u4ee3\u7801\u5b9e\u73b0\u4ee5\u53ca\u5173\u952e\u77e5\u8bc6\u70b9\u7684\u56de\u987e\u3002<\/p>\n

\u89e3\u9898\u601d\u8def<\/h3>\n

\u66b4\u529b\u89e3\u6cd5：<\/p>\n

\u904d\u5386vetcor\u4e2d\u7684\u6bcf\u4e00\u5bf9\u533a\u95f4，\u5224\u65ad\u5b83\u4eec\u662f\u5426\u91cd\u53e0（\u82e5\u533a\u95f4 A \u7684\u8d77\u59cb\u503c \u2264 \u533a\u95f4 B \u7684\u7ed3\u675f\u503c，\u4e14\u533a\u95f4 B \u7684\u8d77\u59cb\u503c \u2264 \u533a\u95f4 A \u7684\u7ed3\u675f\u503c，\u5219\u8ba4\u4e3a\u91cd\u53e0）\u3002 \u82e5\u53d1\u73b0\u91cd\u53e0\u533a\u95f4，\u5c06\u5b83\u4eec\u5408\u5e76\u4e3a\u4e00\u4e2a\u65b0\u533a\u95f4（\u65b0\u533a\u95f4\u7684\u8d77\u59cb\u503c\u4e3a\u4e24\u533a\u95f4\u8d77\u59cb\u503c\u7684\u6700\u5c0f\u503c，\u7ed3\u675f\u503c\u4e3a\u4e24\u533a\u95f4\u7ed3\u675f\u503c\u7684\u6700\u5927\u503c），\u52a0\u5165\u5230\u7ed3\u679c\u96c6\u4e2d\u3002 \u4e0d\u65ad\u91cd\u590d\u6b65\u4e0a\u8ff0\u6b65\u9aa4，\u76f4\u5230\u904d\u5386\u5b8c\u6240\u6709\u533a\u95f4\u540e\u672a\u53d1\u73b0\u4efb\u4f55\u91cd\u53e0，\u6b64\u65f6\u7ed3\u679c\u96c6\u5373\u4e3a\u5408\u5e76\u540e\u7684\u533a\u95f4\u3002 \u4e0a\u8ff0\u5c31\u662f\u66b4\u529b\u89e3\u6cd5，\u663e\u800c\u6613\u89c1\u6548\u7387\u8f83\u4f4e，\u65f6\u95f4\u590d\u6742\u5ea6\u901a\u5e38\u4e3a O(n\u00b2)（\u9700\u591a\u6b21\u904d\u5386 n \u4e2a\u533a\u95f4，\u6bcf\u6b21\u68c0\u67e5 n\u00b2 \u5bf9\u533a\u95f4），\u8fd9\u91cc\u5c31\u4e0d\u505a\u4ecb\u7ecd\u4e86\u3002<\/p>\n

\u4f18\u5316\u89e3\u6cd5：<\/p>\n

\u6392\u5e8f\u533a\u95f4：\u9996\u5148\u6309\u7167\u533a\u95f4\u7684\u8d77\u59cb\u503c\u5bf9\u6240\u6709\u533a\u95f4\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f\u3002\u6392\u5e8f\u540e，\u6240\u6709\u53ef\u80fd\u91cd\u53e0\u7684\u533a\u95f4\u4f1a\u76f8\u90bb\u51fa\u73b0，\u8fd9\u662f\u540e\u7eed\u5408\u5e76\u7684\u57fa\u7840\u3002<\/p>\n

\u904d\u5386\u5408\u5e76：\u904d\u5386\u6392\u5e8f\u540e\u7684\u533a\u95f4，\u5bf9\u4e8e\u6bcf\u4e2a\u533a\u95f4，\u5224\u65ad\u5b83\u662f\u5426\u80fd\u4e0e\u7ed3\u679c\u96c6\u4e2d\u7684\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u5408\u5e76：\u5982\u679c\u7ed3\u679c\u96c6\u4e3a\u7a7a，\u6216\u8005\u5f53\u524d\u533a\u95f4\u4e0e\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u4e0d\u91cd\u53e0，\u5219\u76f4\u63a5\u5c06\u5f53\u524d\u533a\u95f4\u52a0\u5165\u7ed3\u679c\u96c6，\u5982\u679c\u5f53\u524d\u533a\u95f4\u4e0e\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u91cd\u53e0，\u5219\u5408\u5e76\u8fd9\u4e24\u4e2a\u533a\u95f4（\u66f4\u65b0\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u7684\u7ed3\u675f\u503c）\u3002<\/p>\n

\u7b97\u6cd5\u6267\u884c\u8fc7\u7a0b\u5b9e\u4f8b： \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u4ee3\u7801\u5b9e\u73b0<\/h3>\n

class<\/span> Solution<\/span> {<\/span>
\npublic<\/span>:<\/span>
\n vector<<\/span>vector<<\/span>int<\/span>>><\/span> merge<\/span>(<\/span>vector<<\/span>vector<<\/span>int<\/span>>><\/span>&<\/span> intervals)<\/span> {<\/span>
\n \/\/ \u7528\u4e8e\u5b58\u50a8\u5408\u5e76\u540e\u7684\u7ed3\u679c<\/span>
\n vector<<\/span>vector<<\/span>int<\/span>>><\/span> result;<\/span><\/p>\n

\/\/ \u6b65\u9aa41：\u6309\u533a\u95f4\u8d77\u59cb\u503c\u6392\u5e8f<\/span>
\n sort<\/span>(<\/span>intervals.<\/span>begin<\/span>(<\/span>)<\/span>,<\/span> intervals.<\/span>end<\/span>(<\/span>)<\/span>)<\/span>;<\/span><\/p>\n

\/\/ \u6b65\u9aa42：\u904d\u5386\u5e76\u5408\u5e76\u533a\u95f4<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> intervals.<\/span>size<\/span>(<\/span>)<\/span>;<\/span> i++<\/span>)<\/span> {<\/span>
\n \/\/ \u5f53\u524d\u533a\u95f4\u7684\u8d77\u59cb\u503c\u548c\u7ed3\u675f\u503c<\/span>
\n int<\/span> currentStart =<\/span> intervals[<\/span>i]<\/span>[<\/span>0<\/span>]<\/span>;<\/span>
\n int<\/span> currentEnd =<\/span> intervals[<\/span>i]<\/span>[<\/span>1<\/span>]<\/span>;<\/span><\/p>\n

\/\/ \u60c5\u51b51：\u7ed3\u679c\u96c6\u4e3a\u7a7a，\u6216\u5f53\u524d\u533a\u95f4\u4e0e\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u4e0d\u91cd\u53e0<\/span>
\n if<\/span> (<\/span>result.<\/span>empty<\/span>(<\/span>)<\/span> ||<\/span> result.<\/span>back<\/span>(<\/span>)<\/span>[<\/span>1<\/span>]<\/span> <<\/span> currentStart)<\/span> {<\/span>
\n \/\/ \u76f4\u63a5\u5c06\u5f53\u524d\u533a\u95f4\u52a0\u5165\u7ed3\u679c\u96c6<\/span>
\n result.<\/span>push_back<\/span>(<\/span>{<\/span>currentStart,<\/span> currentEnd}<\/span>)<\/span>;<\/span>
\n }<\/span>
\n \/\/ \u60c5\u51b52：\u5f53\u524d\u533a\u95f4\u4e0e\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u91cd\u53e0，\u9700\u8981\u5408\u5e76<\/span>
\n else<\/span> {<\/span>
\n \/\/ \u66f4\u65b0\u7ed3\u679c\u96c6\u4e2d\u6700\u540e\u4e00\u4e2a\u533a\u95f4\u7684\u7ed3\u675f\u503c\u4e3a\u8f83\u5927\u7684\u90a3\u4e2a\u7ed3\u675f\u503c<\/span>
\n result.<\/span>back<\/span>(<\/span>)<\/span>[<\/span>1<\/span>]<\/span> =<\/span> max<\/span>(<\/span>currentEnd,<\/span> result.<\/span>back<\/span>(<\/span>)<\/span>[<\/span>1<\/span>]<\/span>)<\/span>;<\/span>
\n }<\/span>
\n }<\/span><\/p>\n

return<\/span> result;<\/span>
\n }<\/span>
\n}<\/span>;<\/span><\/p>\n

\u9898\u76ee（\u4e8c）<\/h3>\n

\u9898\u76ee\u94fe\u63a5：\u6700\u5927\u5b50\u6570\u7ec4\u548c<\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u89e3\u9898\u601d\u8def<\/h3>\n

\u66b4\u529b\u89e3\u6cd5：<\/p>\n

1.\u679a\u4e3e\u6240\u6709\u5b50\u6570\u7ec4 \u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6574\u6570\u6570\u7ec4nums，\u6700\u5927\u5b50\u6570\u7ec4\u548c\u7684\u66b4\u529b\u89e3\u6cd5\u662f\u901a\u8fc7\u679a\u4e3e\u6240\u6709\u53ef\u80fd\u7684\u8fde\u7eed\u5b50\u6570\u7ec4\u3002\u8bbe\u6570\u7ec4nums\u7684\u957f\u5ea6\u4e3an，\u90a3\u4e48\u5b50\u6570\u7ec4\u7684\u8d77\u59cb\u4f4d\u7f6e\u53ef\u4ee5\u4ece 0 \u5230n – 1，\u5bf9\u4e8e\u6bcf\u4e2a\u8d77\u59cb\u4f4d\u7f6ei，\u5b50\u6570\u7ec4\u7684\u7ed3\u675f\u4f4d\u7f6e\u53ef\u4ee5\u4ecei\u5230n – 1\u3002\u8fd9\u6837\u5c31\u53ef\u4ee5\u901a\u8fc7\u4e24\u5c42\u5d4c\u5957\u7684\u5faa\u73af\u6765\u679a\u4e3e\u6240\u6709\u7684\u5b50\u6570\u7ec4\u3002 2.\u8ba1\u7b97\u5b50\u6570\u7ec4\u548c\u5e76\u66f4\u65b0\u6700\u5927\u503c \u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u679a\u4e3e\u51fa\u6765\u7684\u5b50\u6570\u7ec4，\u8ba1\u7b97\u5b83\u7684\u548c\u3002\u7528\u4e00\u4e2a\u53d8\u91cfmaxSum\u6765\u8bb0\u5f55\u76ee\u524d\u627e\u5230\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c，\u6bcf\u6b21\u8ba1\u7b97\u51fa\u4e00\u4e2a\u5b50\u6570\u7ec4\u7684\u548c\u540e，\u5c06\u5176\u4e0emaxSum\u6bd4\u8f83，\u5982\u679c\u5927\u4e8emaxSum，\u5219\u66f4\u65b0maxSum\u3002<\/p>\n

\u6700\u4f18\u89e3\u6cd5：<\/p>\n

\u4f7f\u7528\u52a8\u6001\u89c4\u5212\u7684\u601d\u60f3\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u3002 \u5b9a\u4e49\u4e00\u4e2a\u72b6\u6001\u53d8\u91cf\u6765\u8868\u793a\u5305\u542b\u5f53\u524d\u5143\u7d20\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c\u3002 \u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b： \u5bf9\u4e8e\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20nums[i]，\u5305\u542b\u5b83\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c\u6709\u4e24\u79cd\u60c5\u51b5： \u5b83\u81ea\u5df1\u5355\u72ec\u4f5c\u4e3a\u4e00\u4e2a\u5b50\u6570\u7ec4，\u5373nums[i]\u3002 \u5b83\u548c\u524d\u9762\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c\u76f8\u52a0，\u5373nums[i]+a（\u8fd9\u91cca\u8868\u793a\u5305\u542b\u524d\u4e00\u4e2a\u5143\u7d20\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c）\u3002 \u53d6\u8fd9\u4e24\u79cd\u60c5\u51b5\u4e2d\u7684\u6700\u5927\u503c\u4f5c\u4e3a\u5305\u542b\u5f53\u524d\u5143\u7d20\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c，\u5373a = max(nums[i], nums[i]+a)\u3002 \u5728\u6bcf\u6b21\u8ba1\u7b97\u51fa\u5305\u542b\u5f53\u524d\u5143\u7d20\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548ca\u540e，\u518d\u4e0e\u5168\u5c40\u6700\u5927\u7684\u5b50\u6570\u7ec4\u548cmaxvalue\u8fdb\u884c\u6bd4\u8f83，\u66f4\u65b0maxvalue，\u5373maxvalue = max(a, maxvalue)\u3002<\/p>\n

\u793a\u4f8b\u5206\u6790： \u4ee5nums = [-2,1,-3,4,-1,2,1,-5,4]\u4e3a\u4f8b： \u521d\u59cb\u5316a = 0，maxvalue=-2\u3002 \u5f53i = 0\u65f6，s=-2，a = max(-2 + 0,-2)=-2，maxvalue = max(-2,-2)=-2\u3002 \u5f53i = 1\u65f6，s = 1，a = max(1 + (-2),1)=1，maxvalue = max(1,-2)=1\u3002 \u5f53i = 2\u65f6，s=-3，a = max(-3 + 1,-3)=-2，maxvalue = max(-2,1)=1\u3002 \u5f53i = 3\u65f6，s = 4，a = max(4+(-2),4)=4，maxvalue = max(4,1)=4\u3002 \u4f9d\u6b64\u7c7b\u63a8，\u76f4\u5230\u904d\u5386\u5b8c\u6574\u4e2a\u6570\u7ec4，\u6700\u7ec8\u5f97\u5230maxvalue = 6，\u5bf9\u5e94\u7684\u6700\u5927\u5b50\u6570\u7ec4\u662f[4,-1,2,1]\u3002<\/p>\n

\u4ee3\u7801\u5b9e\u73b0<\/h3>\n

class<\/span> Solution<\/span> {<\/span>
\npublic<\/span>:<\/span>
\n \/**
\n * \u5bfb\u627e\u6570\u7ec4\u4e2d\u5177\u6709\u6700\u5927\u548c\u7684\u8fde\u7eed\u5b50\u6570\u7ec4（\u5b50\u6570\u7ec4\u6700\u5c11\u5305\u542b\u4e00\u4e2a\u5143\u7d20）
\n * @param nums \u8f93\u5165\u7684\u6574\u6570\u6570\u7ec4
\n * @return \u6700\u5927\u5b50\u6570\u7ec4\u7684\u548c
\n *\/<\/span>
\n int<\/span> maxSubArray<\/span>(<\/span>vector<<\/span>int<\/span>><\/span>&<\/span> nums)<\/span> {<\/span>
\n \/\/ a\u7528\u4e8e\u8bb0\u5f55\u300c\u5305\u542b\u5f53\u524d\u5143\u7d20\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c\u300d<\/span>
\n \/\/ \u521d\u59cb\u5316\u4e3a0，\u540e\u7eed\u4f1a\u6839\u636e\u7b2c\u4e00\u4e2a\u5143\u7d20\u52a8\u6001\u66f4\u65b0<\/span>
\n int<\/span> a =<\/span> 0<\/span>;<\/span><\/p>\n

\/\/ maxvalue\u7528\u4e8e\u8bb0\u5f55\u5168\u5c40\u7684\u6700\u5927\u5b50\u6570\u7ec4\u548c<\/span>
\n \/\/ \u521d\u59cb\u5316\u4e3a\u6570\u7ec4\u7b2c\u4e00\u4e2a\u5143\u7d20，\u786e\u4fdd\u81f3\u5c11\u6709\u4e00\u4e2a\u5143\u7d20\u88ab\u8003\u8651<\/span>
\n int<\/span> maxvalue =<\/span> nums[<\/span>0<\/span>]<\/span>;<\/span><\/p>\n

\/\/ \u904d\u5386\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20<\/span>
\n for<\/span> (<\/span>auto<\/span>&<\/span> s :<\/span> nums)<\/span> {<\/span>
\n \/\/ \u6838\u5fc3\u903b\u8f91：\u5bf9\u4e8e\u5f53\u524d\u5143\u7d20s，\u6709\u4e24\u79cd\u9009\u62e9<\/span>
\n \/\/ 1. \u5c06s\u52a0\u5165\u5230\u4e4b\u524d\u7684\u5b50\u6570\u7ec4\u4e2d（s + a）<\/span>
\n \/\/ 2. \u4ee5s\u4e3a\u8d77\u70b9\u91cd\u65b0\u5f00\u59cb\u4e00\u4e2a\u5b50\u6570\u7ec4（s）<\/span>
\n \/\/ \u53d6\u4e24\u79cd\u9009\u62e9\u4e2d\u7684\u6700\u5927\u503c，\u66f4\u65b0a<\/span>
\n a =<\/span> max<\/span>(<\/span>s +<\/span> a,<\/span> s)<\/span>;<\/span><\/p>\n

\/\/ \u66f4\u65b0\u5168\u5c40\u6700\u5927\u503c：\u6bd4\u8f83\u5f53\u524d\u5b50\u6570\u7ec4\u548c\u4e0e\u5386\u53f2\u6700\u5927\u503c<\/span>
\n maxvalue =<\/span> max<\/span>(<\/span>a,<\/span> maxvalue)<\/span>;<\/span>
\n }<\/span><\/p>\n

\/\/ \u8fd4\u56de\u5168\u5c40\u6700\u5927\u5b50\u6570\u7ec4\u548c<\/span>
\n return<\/span> maxvalue;<\/span>
\n }<\/span>
\n}<\/span>;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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