{"id":74632,"date":"2026-02-10T10:25:27","date_gmt":"2026-02-10T02:25:27","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/74632.html"},"modified":"2026-02-10T10:25:27","modified_gmt":"2026-02-10T02:25:27","slug":"%e5%8a%9b%e6%89%a3%e8%a7%a3%e9%a2%98-%e7%9b%9b%e6%9c%80%e5%a4%9a%e6%b0%b4%e7%9a%84%e5%ae%b9%e5%99%a8","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/74632.html","title":{"rendered":"\u529b\u6263\u89e3\u9898-\u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668"},"content":{"rendered":"

\u529b\u6263\u89e3\u9898-\u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668<\/h2>\n

\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a n \u7684\u6574\u6570\u6570\u7ec4 height \u3002\u6709 n \u6761\u5782\u7ebf，\u7b2c i \u6761\u7ebf\u7684\u4e24\u4e2a\u7aef\u70b9\u662f (i, 0) \u548c (i, height[i]) \u3002<\/p>\n

\u627e\u51fa\u5176\u4e2d\u7684\u4e24\u6761\u7ebf，\u4f7f\u5f97\u5b83\u4eec\u4e0e x \u8f74\u5171\u540c\u6784\u6210\u7684\u5bb9\u5668\u53ef\u4ee5\u5bb9\u7eb3\u6700\u591a\u7684\u6c34\u3002<\/p>\n

\u8fd4\u56de\u5bb9\u5668\u53ef\u4ee5\u50a8\u5b58\u7684\u6700\u5927\u6c34\u91cf\u3002<\/p>\n

\u8bf4\u660e：\u4f60\u4e0d\u80fd\u503e\u659c\u5bb9\u5668\u3002<\/p>\n

\u793a\u4f8b 1：
\n\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u8f93\u5165：[1,8,6,2,5,4,8,3,7]
\n\u8f93\u51fa：49
\n\u89e3\u91ca：\u56fe\u4e2d\u5782\u76f4\u7ebf\u4ee3\u8868\u8f93\u5165\u6570\u7ec4 [1,8,6,2,5,4,8,3,7]\u3002\u5728\u6b64\u60c5\u51b5\u4e0b，\u5bb9\u5668\u80fd\u591f\u5bb9\u7eb3\u6c34（\u8868\u793a\u4e3a\u84dd\u8272\u90e8\u5206）\u7684\u6700\u5927\u503c\u4e3a 49\u3002<\/p>\n

\u793a\u4f8b 2：
\n\u8f93\u5165：height = [1,1]
\n\u8f93\u51fa：1<\/p>\n

\u63d0\u793a：
\nn == height.length
\n2 <= n <= 105
\n0 <= height[i] <= 104<\/p>\n

Related Topics
\n\u8d2a\u5fc3
\n\u6570\u7ec4
\n\u53cc\u6307\u9488<\/p>\n

\n

\u7b2c\u4e00\u6b21\u89e3\u7b54（\u5931\u8d25，\u8d85\u65f6）<\/h3>\n

\u89e3\u9898\u601d\u8def<\/h4>\n

\u6838\u5fc3\u65b9\u6cd5：\u66b4\u529b\u679a\u4e3e\u6240\u6709\u5782\u7ebf\u7ec4\u5408，\u904d\u5386\u6570\u7ec4\u4e2d\u6bcf\u4e00\u5bf9\u4e0d\u540c\u7684\u5782\u7ebf，\u8ba1\u7b97\u6bcf\u5bf9\u5782\u7ebf\u6784\u6210\u5bb9\u5668\u7684\u76db\u6c34\u91cf，\u6700\u7ec8\u53d6\u6240\u6709\u7ed3\u679c\u7684\u6700\u5927\u503c，\u903b\u8f91\u7b80\u5355\u4f46\u65f6\u95f4\u6548\u7387\u6781\u4f4e\u3002<\/p>\n

\u5177\u4f53\u6b65\u9aa4：<\/p>\n

  • \u521d\u59cb\u5316\u6700\u5927\u76db\u6c34\u91cfmax\u4e3a0，\u7528\u4e8e\u8bb0\u5f55\u904d\u5386\u8fc7\u7a0b\u4e2d\u627e\u5230\u7684\u6700\u5927\u6c34\u91cf\u3002<\/li>\n
  • \u5916\u5c42\u5faa\u73af\u904d\u5386\u6570\u7ec4\u7684\u6bcf\u4e2a\u4e0b\u6807i（\u4ee3\u8868\u7b2c\u4e00\u6761\u5782\u7ebf\u7684\u4f4d\u7f6e），\u5185\u5c42\u5faa\u73af\u904d\u5386i\u4e4b\u540e\u7684\u6240\u6709\u4e0b\u6807j（\u4ee3\u8868\u7b2c\u4e8c\u6761\u5782\u7ebf\u7684\u4f4d\u7f6e，j > i\u907f\u514d\u91cd\u590d\u8ba1\u7b97\u540c\u4e00\u5bf9\u5782\u7ebf）\u3002<\/li>\n
  • \u5bf9\u4e8e\u6bcf\u5bf9(i, j)，\u8ba1\u7b97\u5bb9\u5668\u7684\u76db\u6c34\u91cf：\u76db\u6c34\u91cf = \u4e24\u6761\u5782\u7ebf\u7684\u6c34\u5e73\u8ddd\u79bb \u00d7 \u4e24\u6761\u5782\u7ebf\u4e2d\u8f83\u77ee\u7684\u9ad8\u5ea6，\u5373(j – i) * Math.min(height[i], height[j])\u3002<\/li>\n
  • \u7528\u5f53\u524d\u8ba1\u7b97\u7684\u76db\u6c34\u91cf\u66f4\u65b0max（\u53d6max\u548c\u5f53\u524d\u503c\u7684\u8f83\u5927\u8005）\u3002<\/li>\n
  • \u4e24\u5c42\u5faa\u73af\u7ed3\u675f\u540e，\u8fd4\u56demax\u4f5c\u4e3a\u6700\u5927\u76db\u6c34\u91cf\u3002<\/li>\n

    \u5931\u8d25\u539f\u56e0\u5206\u6790<\/h4>\n

    \u8be5\u89e3\u6cd5\u8d85\u65f6\u7684\u6838\u5fc3\u539f\u56e0\u662f\u65f6\u95f4\u590d\u6742\u5ea6\u8fc7\u9ad8，\u65e0\u6cd5\u9002\u914d\u9898\u76ee\u6570\u636e\u89c4\u6a21：<\/p>\n

  • \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n\u00b2)：\u5916\u5c42\u5faa\u73af\u6267\u884cn\u6b21，\u5185\u5c42\u5faa\u73af\u5e73\u5747\u6267\u884cn\/2\u6b21，\u603b\u8ba1\u7b97\u6b21\u6570\u7ea6\u4e3an\u00b2\/2\u3002\u5bf9\u4e8e\u9898\u76ee\u4e2dn <= 10^5\u7684\u9650\u5236，\u603b\u8ba1\u7b97\u6b21\u6570\u4f1a\u8fbe\u52305\u00d710^9\u7ea7\u522b，\u8fdc\u8d85\u7a0b\u5e8f\u8fd0\u884c\u7684\u65f6\u95f4\u9608\u503c（\u901a\u5e38OJ\u5355\u9898\u5141\u8bb8\u7684\u8ba1\u7b97\u6b21\u6570\u7ea610^8），\u5fc5\u7136\u89e6\u53d1\u8d85\u65f6\u3002<\/li>\n
  • \u65e0\u4efb\u4f55\u4f18\u5316\u7b56\u7565：\u66b4\u529b\u679a\u4e3e\u4e86\u6240\u6709\u53ef\u80fd\u7684\u7ec4\u5408，\u672a\u5229\u7528\u201c\u76db\u6c34\u91cf\u7531\u77ee\u8fb9\u51b3\u5b9a\u201d\u7684\u6838\u5fc3\u7279\u6027\u8fdb\u884c\u526a\u679d，\u5b58\u5728\u5927\u91cf\u65e0\u610f\u4e49\u7684\u8ba1\u7b97，\u5b8c\u5168\u65e0\u6cd5\u6ee1\u8db3\u5927\u6570\u636e\u91cf\u7684\u6027\u80fd\u8981\u6c42\u3002<\/li>\n

    public<\/span> int<\/span> maxArea<\/span>(<\/span>int<\/span>[<\/span>]<\/span> height)<\/span> {<\/span>
    \n int<\/span> max=<\/span>0<\/span>;<\/span>
    \n for<\/span>(<\/span>int<\/span> i=<\/span>0<\/span>;<\/span>i<<\/span>height.<\/span>length;<\/span>i++<\/span>)<\/span>{<\/span>
    \n for<\/span>(<\/span>int<\/span> j=<\/span>i+<\/span>1<\/span>;<\/span>j<<\/span>height.<\/span>length;<\/span>j++<\/span>)<\/span> {<\/span>
    \n max =<\/span> Math<\/span>.<\/span>max<\/span>(<\/span>max,<\/span> (<\/span>j –<\/span> i)<\/span> *<\/span> Math<\/span>.<\/span>min<\/span>(<\/span>height[<\/span>i]<\/span>,<\/span> height[<\/span>j]<\/span>)<\/span>)<\/span>;<\/span>
    \n }<\/span>
    \n }<\/span>
    \n return<\/span> max;<\/span>
    \n }<\/span><\/p>\n

    \n

    \u7b2c\u4e8c\u6b21\u89e3\u7b54<\/h3>\n

    \u89e3\u9898\u601d\u8def<\/h4>\n

    \u6838\u5fc3\u65b9\u6cd5：\u53cc\u6307\u9488\u8d2a\u5fc3\u7b56\u7565 + \u5411\u4e2d\u95f4\u6536\u7f29\u903c\u8fd1\u6700\u5927\u503c，\u5229\u7528\u201c\u76db\u6c34\u91cf\u7531\u77ee\u8fb9\u51b3\u5b9a\u201d\u7684\u7279\u6027，\u4ece\u6570\u7ec4\u4e24\u7aef\u5411\u4e2d\u95f4\u79fb\u52a8\u6307\u9488，\u4ec5\u9700\u4e00\u6b21\u904d\u5386\u5373\u53ef\u627e\u5230\u6700\u5927\u76db\u6c34\u91cf，\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u81f3O(n)\u3002<\/p>\n

    \u5177\u4f53\u6b65\u9aa4：<\/p>\n

  • \u521d\u59cb\u5316\u53cc\u6307\u9488：\u5de6\u6307\u9488left\u6307\u5411\u6570\u7ec4\u8d77\u59cb\u4f4d\u7f6e（\u4e0b\u68070），\u53f3\u6307\u9488right\u6307\u5411\u6570\u7ec4\u672b\u5c3e\u4f4d\u7f6e（\u4e0b\u6807height.length-1）；\u540c\u65f6\u521d\u59cb\u5316\u6700\u5927\u76db\u6c34\u91cfmax\u4e3a0\u3002<\/li>\n
  • \u5f00\u542f\u5faa\u73af（\u7ec8\u6b62\u6761\u4ef6：left >= right，\u5373\u4e24\u6307\u9488\u76f8\u9047\u65f6\u505c\u6b62）：
    \na. \u8ba1\u7b97\u5f53\u524d\u53cc\u6307\u9488\u6784\u6210\u5bb9\u5668\u7684\u76db\u6c34\u91cf：Math.min(height[left], height[right]) * (right – left)，\u5e76\u7528\u8be5\u503c\u66f4\u65b0max\u3002
    \nb. \u8d2a\u5fc3\u6536\u7f29\u6307\u9488：\u6bd4\u8f83height[left]\u548cheight[right]\u7684\u5927\u5c0f，\u79fb\u52a8\u8f83\u77ee\u7684\u90a3\u4e2a\u6307\u9488：
    \n– \u82e5height[left] < height[right]：\u5de6\u6307\u9488left\u53f3\u79fb\u4e00\u4f4d（left++）；
    \n– \u5426\u5219：\u53f3\u6307\u9488right\u5de6\u79fb\u4e00\u4f4d（right–）\u3002<\/li>\n
  • \u5faa\u73af\u7ed3\u675f\u540e，max\u5373\u4e3a\u80fd\u5bb9\u7eb3\u7684\u6700\u5927\u6c34\u91cf，\u8fd4\u56de\u8be5\u503c\u3002<\/li>\n

    \u6838\u5fc3\u4f18\u5316\u903b\u8f91\u8bf4\u660e<\/h4>\n

    \u79fb\u52a8\u8f83\u77ee\u6307\u9488\u7684\u5408\u7406\u6027（\u8d2a\u5fc3\u7b56\u7565\u7684\u6838\u5fc3）：<\/p>\n

      \n
    • \u5bb9\u5668\u7684\u76db\u6c34\u91cf\u7531\u4e24\u6307\u9488\u7684\u6c34\u5e73\u8ddd\u79bb\u548c\u4e24\u6307\u9488\u4e2d\u8f83\u77ee\u7684\u9ad8\u5ea6\u5171\u540c\u51b3\u5b9a，\u5373\u6c34\u91cf = \u8ddd\u79bb \u00d7 \u77ee\u8fb9\u9ad8\u5ea6\u3002<\/li>\n
    • \u82e5\u79fb\u52a8\u8f83\u9ad8\u7684\u6307\u9488：\u6c34\u5e73\u8ddd\u79bb\u4f1a\u51cf\u5c0f，\u800c\u77ee\u8fb9\u9ad8\u5ea6\u4e0d\u4f1a\u589e\u52a0（\u751a\u81f3\u53ef\u80fd\u4e0d\u53d8\/\u51cf\u5c0f），\u76db\u6c34\u91cf\u5fc5\u7136\u4e0d\u4f1a\u589e\u5927；<\/li>\n
    • \u82e5\u79fb\u52a8\u8f83\u77ee\u7684\u6307\u9488：\u6c34\u5e73\u8ddd\u79bb\u51cf\u5c0f，\u4f46\u6709\u53ef\u80fd\u627e\u5230\u66f4\u9ad8\u7684\u8fb9，\u4ece\u800c\u8ba9\u77ee\u8fb9\u9ad8\u5ea6\u63d0\u5347，\u5f25\u8865\u8ddd\u79bb\u51cf\u5c0f\u7684\u635f\u5931，\u6700\u7ec8\u53ef\u80fd\u5f97\u5230\u66f4\u5927\u7684\u76db\u6c34\u91cf\u3002<\/li>\n
    • \u8be5\u7b56\u7565\u786e\u4fdd\u6bcf\u4e00\u6b65\u79fb\u52a8\u90fd\u671d\u7740\u201c\u53ef\u80fd\u589e\u5927\u76db\u6c34\u91cf\u201d\u7684\u65b9\u5411，\u4e14\u4ec5\u9700\u4e00\u6b21\u904d\u5386，\u65f6\u95f4\u590d\u6742\u5ea6\u4eceO(n\u00b2)\u964d\u81f3O(n)，\u5b8c\u5168\u9002\u914d10^5\u7ea7\u522b\u7684\u6570\u636e\u89c4\u6a21\u3002<\/li>\n<\/ul>\n

      \u6267\u884c\u8017\u65f6:5 ms,\u51fb\u8d25\u4e8632.91% \u7684Java\u7528\u6237
      \n\u5185\u5b58\u6d88\u8017:76 MB,\u51fb\u8d25\u4e8619.06% \u7684Java\u7528\u6237<\/p>\n

      public<\/span> int<\/span> maxArea<\/span>(<\/span>int<\/span>[<\/span>]<\/span> height)<\/span> {<\/span>
      \n int<\/span> left =<\/span>0<\/span>;<\/span>
      \n int<\/span> right =<\/span> height.<\/span>length–<\/span>1<\/span>;<\/span>
      \n int<\/span> max =<\/span> 0<\/span>;<\/span>
      \n while<\/span> (<\/span>left<<\/span>right)<\/span>{<\/span>
      \n max=<\/span> Math<\/span>.<\/span>max<\/span>(<\/span>max,<\/span>Math<\/span>.<\/span>min<\/span>(<\/span>height[<\/span>left]<\/span>,<\/span>height[<\/span>right]<\/span>)<\/span>*<\/span>(<\/span>right–<\/span>left)<\/span>)<\/span>;<\/span>
      \n if<\/span>(<\/span>height[<\/span>left]<\/span><<\/span>height[<\/span>right]<\/span>)<\/span>{<\/span>
      \n left++<\/span>;<\/span>
      \n }<\/span>else<\/span>{<\/span>
      \n right—<\/span>;<\/span>
      \n }<\/span>
      \n }<\/span>
      \n return<\/span> max;<\/span>
      \n }<\/span><\/p>\n

      \n

      \u603b\u7ed3<\/h4>\n
    • \u7b2c\u4e00\u6b21\u89e3\u7b54\u7684\u66b4\u529b\u679a\u4e3e\u6cd5\u56e0O(n\u00b2)\u7684\u65f6\u95f4\u590d\u6742\u5ea6，\u5728n=10^5\u65f6\u8ba1\u7b97\u91cf\u8d85\u9650，\u76f4\u63a5\u8d85\u65f6；\u5176\u4ec5\u9002\u7528\u4e8e\u6781\u5c0f\u6570\u636e\u91cf，\u65e0\u6cd5\u6ee1\u8db3\u9898\u76ee\u8981\u6c42\u3002<\/li>\n
    • \u7b2c\u4e8c\u6b21\u89e3\u7b54\u7684\u53cc\u6307\u9488\u8d2a\u5fc3\u7b56\u7565\u662f\u672c\u9898\u7684\u6700\u4f18\u89e3：\u5229\u7528\u201c\u76db\u6c34\u91cf\u7531\u77ee\u8fb9\u51b3\u5b9a\u201d\u7684\u7279\u6027，\u901a\u8fc7\u79fb\u52a8\u8f83\u77ee\u6307\u9488\u6536\u7f29\u8303\u56f4，\u4ec5\u9700O(n)\u65f6\u95f4\u590d\u6742\u5ea6\u5b8c\u6210\u904d\u5386，\u9ad8\u6548\u627e\u5230\u6700\u5927\u76db\u6c34\u91cf\u3002<\/li>\n
    • \u672c\u9898\u7684\u6838\u5fc3\u89e3\u9898\u601d\u8def\u662f\u653e\u5f03\u65e0\u610f\u4e49\u7684\u5168\u91cf\u679a\u4e3e，\u901a\u8fc7\u8d2a\u5fc3\u7b56\u7565\u7f29\u5c0f\u641c\u7d22\u8303\u56f4，\u7528\u201c\u7a7a\u95f4\u6362\u65f6\u95f4\u201d\u7684\u53cd\u5411\u601d\u8def（\u53cc\u6307\u9488\u4ec5\u5360\u7528\u5e38\u6570\u7a7a\u95f4），\u4ee5\u6700\u4f18\u7684\u65f6\u95f4\u6548\u7387\u89e3\u51b3\u95ee\u9898\u3002<\/li>\n","protected":false},"excerpt":{"rendered":"

      \u529b\u6263\u89e3\u9898-\u76db\u6700\u591a\u6c34\u7684\u5bb9\u5668
      \n\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a n \u7684\u6574\u6570\u6570\u7ec4 height \u3002\u6709 n \u6761\u5782\u7ebf，\u7b2c i \u6761\u7ebf\u7684\u4e24\u4e2a\u7aef\u70b9\u662f (i, 0) \u548c (i, height[i]) \u3002
      \n\u627e\u51fa\u5176\u4e2d\u7684\u4e24\u6761\u7ebf，\u4f7f\u5f97\u5b83\u4eec\u4e0e x \u8f74\u5171\u540c\u6784\u6210\u7684\u5bb9\u5668\u53ef\u4ee5\u5bb9\u7eb3\u6700\u591a\u7684\u6c34\u3002
      \n\u8fd4\u56de\u5bb9\u5668\u53ef\u4ee5\u50a8\u5b58\u7684\u6700\u5927\u6c34\u91cf\u3002
      \n\u8bf4\u660e：\u4f60\u4e0d\u80fd\u503e\u659c\u5bb9\u5668\u3002
      \n\u793a\u4f8b 1：\u8f93\u5165：[1,8,6,2,5,4,8,3,7]
      \n\u8f93\u51fa：49
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