{"id":69777,"date":"2026-02-01T03:17:35","date_gmt":"2026-01-31T19:17:35","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/69777.html"},"modified":"2026-02-01T03:17:35","modified_gmt":"2026-01-31T19:17:35","slug":"%e3%80%90%e4%b8%87%e5%ad%97%e8%a7%a3%e6%9e%90%e3%80%91%e4%bb%a5leetcode-206-21-23%e9%93%be%e8%a1%a8%e5%bf%85%e5%88%b7%e4%b8%89%e9%a2%98%e4%b8%ba%e4%be%8b%ef%bc%8c%e6%89%8b%e6%8a%8a%e6%89%8b%e6%95%99","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/69777.html","title":{"rendered":"\u3010\u4e07\u5b57\u89e3\u6790\u3011\u4ee5LeetCode 206\/21\/23\u94fe\u8868\u5fc5\u5237\u4e09\u9898\u4e3a\u4f8b\uff0c\u624b\u628a\u624b\u6559\u4f60\u62c6\u89e3\u94fe\u8868\u9898\u7684\u4f18\u5316\u601d\u8def(\u9644\u52a8\u56fe)-\u3010\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u3011- \u5b9e\u6218\u7bc7\uff08\u4e00\uff09"},"content":{"rendered":"<\/p>\n<h3>\u524d\u8a00<\/h3>\n<h4>\u672c\u6587\u57fa\u4e8eC\u8bed\u8a00\u63cf\u8ff0<\/h4>\n<p>\u6b63\u786e\u98df\u7528\u65b9\u5f0f&#xff1a;\u6709C\u8bed\u8a00\u57fa\u7840&#xff0c;\u4ec5\u719f\u6089\u5355\u5411\u94fe\u8868\u57fa\u672c\u64cd\u4f5c\u4e14\u8feb\u5207\u9700\u8981\u5b9e\u6218\u8fdb\u884c\u5de9\u56fa\u3002<\/p>\n<p>\u6ee1\u8db3\u8fd9\u4e9b\u6761\u4ef6\u7684\u5c0f\u4f19\u4f34\u4eec&#xff0c;\u672c\u6587\u975e\u5e38\u503c\u5f97\u4f60\u4e00\u5543&#xff01;\u9605\u8bfb\u672c\u6587&#xff0c;\u4f60\u6536\u83b7\u7684\u5c06\u8fdc\u4e0d\u6b62\u662f\u4f1a\u89e3\u8fd9\u4e09\u9053\u9898&#xff0c;\u66f4\u80fd\u6536\u83b7\u201d\u9762\u5bf9\u964c\u751f\u7b97\u6cd5\u9898&#xff0c;\u8be5\u5982\u4f55\u5f00\u59cb\u601d\u8003\u201c\u7b49\u62c6\u89e3\u7b97\u6cd5\u95ee\u9898\u7684\u901a\u7528\u65b9\u6cd5&#xff0c;\u8fd9\u4e5f\u662f\u672c\u6587\u4e3b\u6253\u5185\u5bb9\u3002<\/p>\n<p>\u540c\u65f6\u6b22\u8fce\u5404\u4f4d\u5927\u4f6c\u524d\u6765\u7ea0\u9519\u3002<\/p>\n<p>LeetCode 206(\u53cd\u8f6c\u94fe\u8868)\u300121&#xff08;\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868&#xff09;\u300123&#xff08;\u5408\u5e76K\u4e2a\u6709\u5e8f\u94fe\u8868&#xff09;\u672c\u6587\u5c06\u7531\u6d45\u5165\u6df1\u5730\u5e26\u4f60\u7406\u987a\u903b\u8f91&#xff0c;\u5373\u4f7f\u662f\u65b0\u624b\u4e5f\u80fd\u5f88\u5feb\u4e0a\u624b\u3002<\/p>\n<p>\u65b0\u4eba\u7b2c\u4e00\u6b21\u53d1\u6587&#xff0c;\u672c\u6587\u6587\u672c\u3001\u94fe\u8868\u76f8\u5173\u56fe\u7247\u3001\u52a8\u56fe\u6f14\u793a\u7686\u5c5e\u539f\u521b&#xff0c;\u521b\u4f5c\u4e0d\u6613&#xff0c;\u6c42\u70b9\u8d5e&#xff01;<\/p>\n<p>\u559c\u6b22\u672c\u6587\u98ce\u683c\u6216\u662f\u8ba4\u53ef\u672c\u6587\u601d\u60f3\u7684\u8bdd&#xff0c;\u53ef\u4ee5\u70b9\u4e2a\u5173\u6ce8&#xff0c;\u52a9\u529b\u6211\u4eca\u540e\u809d\u51fa\u66f4\u591a\u4f18\u8d28\u597d\u6587&#xff01;<\/p>\n<\/p>\n<hr \/>\n<p>\u76ee\u5f55<\/p>\n<p style=\"margin-left:40px\">\u524d\u8a00<\/p>\n<p style=\"margin-left:80px\">\u672c\u6587\u57fa\u4e8eC\u8bed\u8a00\u63cf\u8ff0<\/p>\n<p style=\"margin-left:40px\">\u4e00\u3001\u57fa\u7840\u94fa\u57ab<\/p>\n<p style=\"margin-left:80px\">1.\u8282\u70b9\u4e0e\u8868\u5934<\/p>\n<p style=\"margin-left:80px\">2.\u94fe\u8868\u7684\u7edf\u4e00<\/p>\n<p style=\"margin-left:80px\">3.\u54d1\u5143\u8282\u70b9&#xff08;\u865a\u62df\u5934\u8282\u70b9&#xff09;<\/p>\n<p style=\"margin-left:40px\">\u4e8c\u3001\u8be6\u7ec6\u89e3\u6790<\/p>\n<p style=\"margin-left:80px\">1.\u53cd\u8f6c\u94fe\u8868-\u7b80\u5355<\/p>\n<p style=\"margin-left:120px\">1.1\u9898\u76ee\u5206\u6790<\/p>\n<p style=\"margin-left:120px\">1.2\u601d\u8def\u63a8\u5bfc<\/p>\n<p style=\"margin-left:160px\">1.2.1\u5934\u63d2\u6cd5<\/p>\n<p style=\"margin-left:160px\">1.2.2\u9012\u5f52\u6cd5<\/p>\n<p style=\"margin-left:160px\">1.2.3\u53cc\u6307\u9488\u8fed\u4ee3\u6cd5<\/p>\n<p style=\"margin-left:80px\">2.\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868-\u7b80\u5355<\/p>\n<p style=\"margin-left:120px\">2.1 \u9898\u76ee\u5206\u6790<\/p>\n<p style=\"margin-left:120px\">2.2 \u601d\u8def\u63a8\u5bfc<\/p>\n<p style=\"margin-left:160px\">2.2.1 \u8fed\u4ee3\u6cd5&#xff08;\u4e3b\u94fe\u5b9e\u73b0&#xff09;<\/p>\n<p style=\"margin-left:160px\">2.2.2 \u8fed\u4ee3\u6cd5&#xff08;\u5bf9\u79f0\u5b9e\u73b0&#xff09;<\/p>\n<p style=\"margin-left:160px\">2.2.3 \u9012\u5f52\u6cd5<\/p>\n<p style=\"margin-left:80px\">3.\u5408\u5e76K\u4e2a\u5347\u5e8f\u94fe\u8868 &#8211; \u4e2d\u7b49<\/p>\n<p style=\"margin-left:120px\">3.1\u9898\u76ee\u5206\u6790<\/p>\n<p style=\"margin-left:120px\">3.2 \u601d\u8def\u63a8\u5bfc<\/p>\n<p style=\"margin-left:160px\">3.2.1 \u201d\u66b4\u529b\u4e32\u73e0\u6cd5\u201c<\/p>\n<p style=\"margin-left:160px\">3.2.2 \u66b4\u529b\u8fed\u4ee3\u6cd5<\/p>\n<p style=\"margin-left:160px\">3.2.3 \u4f18\u5148\u961f\u5217\u6cd5&#xff08;\u6700\u5c0f\u5806\u5b9e\u73b0&#xff09;<\/p>\n<p style=\"margin-left:160px\">3.2.4 \u5206\u6cbb\u5408\u5e76\u6cd5&#xff08;\u8fed\u4ee3\u5b9e\u73b0-\u81ea\u5e95\u5411\u4e0a&#xff09;<\/p>\n<p style=\"margin-left:160px\">3.2.5\u5206\u6cbb\u5408\u5e76\u6cd5&#xff08;\u9012\u5f52\u5b9e\u73b0-\u81ea\u9876\u5411\u4e0b&#xff09;<\/p>\n<p style=\"margin-left:40px\">\u4e09\u3001\u603b\u7ed3<\/p>\n<p style=\"margin-left:40px\">1. \u6838\u5fc3\u9898\u578b\u4e0e\u89e3\u9898\u65b9\u6cd5\u68b3\u7406<\/p>\n<p style=\"margin-left:80px\">1.1 \u53cd\u8f6c\u94fe\u8868&#xff08;LeetCode 206&#xff09;<\/p>\n<p style=\"margin-left:80px\">1.2 \u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868&#xff08;LeetCode 21&#xff09;<\/p>\n<p style=\"margin-left:80px\">1.3 \u5408\u5e76K\u4e2a\u5347\u5e8f\u94fe\u8868&#xff08;LeetCode 23&#xff09;<\/p>\n<p style=\"margin-left:40px\">2. \u901a\u7528\u89e3\u9898\u601d\u7ef4\u4e0e\u4f18\u5316\u6280\u5de7<\/p>\n<p style=\"margin-left:80px\">2.1 \u8fb9\u754c\u5904\u7406\u4f18\u5148<\/p>\n<p style=\"margin-left:80px\">2.2 \u6307\u9488\u7ba1\u7406\u662f\u6838\u5fc3<\/p>\n<p style=\"margin-left:80px\">2.3 \u66b4\u529b\u601d\u8def\u662f\u4f18\u5316\u7684\u8d77\u70b9<\/p>\n<p style=\"margin-left:80px\">2.4 \u590d\u7528\u57fa\u7840\u903b\u8f91&#xff0c;\u62c6\u89e3\u590d\u6742\u95ee\u9898<\/p>\n<p style=\"margin-left:40px\">3.\u65b9\u6cd5\u6289\u62e9\u4e0e\u573a\u666f\u9002\u914d<\/p>\n<p style=\"margin-left:40px\">4.\u5b66\u4e60\u6536\u83b7\u4e0e\u540e\u7eed\u5ef6\u4f38<\/p>\n<p style=\"margin-left:80px\">4.1 \u6838\u5fc3\u6536\u83b7<\/p>\n<p style=\"margin-left:80px\">4.2 \u540e\u7eed\u5ef6\u4f38<\/p>\n<p style=\"margin-left:40px\">\u56db\u3001\u7ed3\u8bed<\/p>\n<\/p>\n<hr \/>\n<h3>\u4e00\u3001\u57fa\u7840\u94fa\u57ab<\/h3>\n<p>\u6b64\u90e8\u5206\u5e2e\u52a9\u90e8\u5206\u8bfb\u8005\u8fdb\u884c\u57fa\u7840\u56de\u987e&#xff0c;\u5982\u679c\u57fa\u7840\u624e\u5b9e&#xff0c;\u8bf7\u76f4\u63a5\u8df3\u8f6c\u81f3\u5b9e\u6218\u53ca\u8bb2\u89e3\u90e8\u5206\u3002<\/p>\n<h4>1.\u8282\u70b9\u4e0e\u8868\u5934<\/h4>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u65e0\u8bba\u4f60\u5e08\u4ece\u4f55\u5904&#xff0c;\u8bb2\u5230\u94fe\u8868\u7684\u8868\u793a\u65f6&#xff0c;\u90fd\u4f1a\u6d89\u53ca\u5230\u4e09\u79cd\u8868\u793a\u65b9\u6cd5&#xff1a; \u201c\u88f8\u6307\u9488\u201d&#xff08;\u94fe\u8868\u7684\u4e00\u79cd\u8868\u73b0\u65b9\u5f0f&#xff0c;\u8868\u73b0\u4e3a\u65e0\u7ed3\u6784\u4f53\u5c01\u88c5\u8868\u5934\u7684\u88f8\u9732\u5934\u6307\u9488&#xff09;\u3001\u5934\u6307\u9488\u3001\u5934\u8282\u70b9&#xff0c;\u8fd9\u662f\u6700\u57fa\u7840\u7684\u6982\u5ff5\u3002<\/p>\n<p>typedef struct link_node{<br \/>\n    element_t data;<br \/>\n    struct link_node *next;<br \/>\n}LNode; <\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191732-697e554cc91e1.png\" \/><\/p>\n<p style=\"text-align:center\">[\u5b9e\u73b0\u94fe\u8868\u7684\u57fa\u7840\u8282\u70b9] \u00a0data\u8868\u793a\u6570\u636e\u57df&#xff0c;next\u8868\u793a\u6307\u9488\u57df\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191732-697e554cd0310.png\" \/><\/p>\n<p style=\"text-align:center\">\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7531\u4e8e\u94fe\u8868\u79bb\u6563\u50a8\u5b58\u7684\u6027\u8d28&#xff0c;\u6211\u4eec\u60f3\u8981\u77e5\u9053\u4e00\u4e2a\u8282\u70b9\u5b58\u50a8\u7740\u4ec0\u4e48\u6837\u7684\u4fe1\u606f&#xff0c;\u524d\u63d0\u662f\u6709\u6307\u5411\u8be5\u8282\u70b9\u7684\u6307\u9488\u3002\u5982\u6b64\u4e00\u6765&#xff0c;\u6bcf\u4e2a\u8282\u70b9\u90fd\u6709\u4e00\u4e2a\u524d\u7f6e\u8282\u70b9\u7684next\u6307\u5411\u5b83&#xff0c;\u4ee5\u4fdd\u8bc1\u6570\u636e\u4e0d\u4f1a\u5728\u832b\u832b\u4eba\u6d77\u4e2d\u4e22\u5931\u3002\u7136\u800c&#xff0c;\u8fd9\u6837\u7684\u6307\u5411\u603b\u9700\u8981\u4e00\u4e2a\u8d77\u5934&#xff0c;\u6bd5\u7adf\u73b0\u5b9e\u652f\u6491\u4e0d\u4e86\u5e0c\u5c14\u4f2f\u7279\u9152\u5e97\u7684\u65e0\u9650\u89c4\u6a21\u3002\u4f60\u53ef\u80fd\u4f1a\u60f3\u5230\u5934\u5c3e\u76f8\u63a5\u7684\u5faa\u73af\u94fe\u8868\u3002\u975e\u5e38\u806a\u660e&#xff01;\u4f46\u5faa\u73af\u94fe\u8868\u5e76\u4e0d\u662f\u6211\u4eec\u672c\u6b21\u8ba8\u8bba\u7684\u91cd\u70b9&#xff0c;\u8fd9\u7684\u786e\u662f\u4e00\u79cd\u65b9\u6cd5\u3002\u987a\u7740\u601d\u8def&#xff0c;\u6211\u4eec\u53d1\u73b0\u9700\u8981\u4e00\u4e2a\u8868\u5934\u6765\u7ba1\u7406\u8fd9\u4e9b\u5bb9\u6613\u8dd1\u4e22\u7684\u6307\u9488\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191732-697e554ce1c15.png\" \/><\/p>\n<\/p>\n<p>[\u88f8\u6307\u9488\u8868\u793a\u7684\u5934\u8282\u70b9] \u00a0<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5982\u6b64&#xff0c;\u5c31\u975e\u5e38\u81ea\u7136\u7684\u5f62\u6210\u4e86\u201c\u88f8\u6307\u9488\u201d\u7684\u8868\u793a\u65b9\u6cd5\u3002&#xff08;\u4e0b\u6587\u4e0d\u518d\u6807\u6ce8\u5f15\u53f7&#xff0c;\u65e0\u7279\u522b\u8bf4\u660e\u65f6&#xff0c;\u201c\u88f8\u6307\u9488\u201d\u5168\u90fd\u7279\u6307\u8fd9\u79cd\u94fe\u8868\u7684\u8868\u793a\u65b9\u5f0f\u800c\u4e0d\u662f\u6307\u9488\u672c\u8eab&#xff09;<\/p>\n<hr \/>\n<h4>2.\u94fe\u8868\u7684\u7edf\u4e00<\/h4>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4f5c\u4e3a\u521d\u5b66\u8005&#xff0c;\u4f60\u4f1a\u4e0d\u7981\u601d\u8003&#xff0c;\u8fd9\u6837\u81ea\u7136\u7684\u8868\u793a\u65b9\u6cd5\u4e0d\u662f\u8db3\u591f\u4e86\u5417&#xff1f;\u6211\u4eec\u4f55\u5fc5\u5927\u8d39\u5468\u7ae0\u5730\u53bb\u989d\u5916\u5c01\u88c5\u7ed3\u6784\u4f53\u4f5c\u4e3a\u4e00\u4e2a\u8868\u5934&#xff1f;\u8fd9\u4f3c\u4e4e\u7834\u574f\u4e86\u94fe\u8868\u7684\u7edf\u4e00\u6027\u2014\u2014\u8fd9\u4e5f\u662f\u5728\u6211\u521d\u5b66\u65f6\u671f\u56f0\u6270\u8fc7\u6211\u7684\u4e00\u4e2a\u95ee\u9898\u3002\u5b9e\u5219\u6070\u6070\u76f8\u53cd&#xff0c;\u53ea\u6709\u5f53\u6211\u4eec\u5b9e\u9645\u64cd\u4f5c\u540e\u5c31\u4f1a\u660e\u767d&#xff0c;\u6211\u4eec\u6240\u5199\u7684\u64cd\u4f5c\u51fd\u6570&#xff0c;\u5927\u591a\u90fd\u662f\u4ee5\u8282\u70b9\u4e3a\u5355\u5143\u8fdb\u884c\u64cd\u4f5c&#xff0c;\u800c\u88f8\u6307\u9488\u7684\u5b58\u5728\u5c06\u4f1a\u6253\u7834\u8fd9\u4e00\u7edf\u4e00\u7684\u903b\u8f91\u3002\u4f8b\u5982\u5934\u63d2\u6cd5\u7684\u5b9e\u73b0&#xff1a;<\/p>\n<p>\/\/\u5185\u7f6e\u8f85\u52a9\u51fd\u6570&#xff0c;\u76f4\u63a5\u64cd\u63a7\u8282\u70b9&#xff0c;\u7528\u4e8e\u7edf\u4e00\u63d2\u5165\u903b\u8f91<br \/>\nstatic int insertLNode(LNode* prev,element_t val){<br \/>\nLNode* node &#061; (LNode*)malloc(sizeof(LNode));<br \/>\n    if(!node) return 0;<br \/>\n    node-&gt;data &#061; val;<br \/>\nnode-&gt;next &#061; prev-&gt;next;<br \/>\n    prev-&gt;next &#061; node;<br \/>\n    return 1;<br \/>\n} <\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191732-697e554cedf71.gif\" \/><\/p>\n<p>&#8230;<br \/>\n    LNode* prev &#061; &amp;header;\/\/\u9519\u8bef\u5199\u6cd5<br \/>\n        if(insertLNode(prev,val)) {<br \/>\n            num&#043;&#043;;<br \/>\n        }<br \/>\n&#8230; <\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4ece\u52a8\u753b\u53ef\u4ee5\u5f88\u65b9\u4fbf\u5730\u770b\u51fa&#xff0c;\u6211\u4eec\u5728\u63d2\u5165\u8282\u70b9\u65f6&#xff0c;\u4e3a\u4e86\u7ef4\u62a4\u94fe\u8868&#xff0c;\u907f\u514d\u4e22\u5931&#xff0c;\u5fc5\u987b\u8ba9\u65b0\u8282\u70b9\u7684next\u6765\u63a5\u66ffhead\u6307\u9488\u7684\u5de5\u4f5c&#xff0c;\u4e4b\u540ehead\u624d\u80fd\u653e\u5fc3\u79fb\u5f00&#xff0c;\u5426\u5219\u5c31\u4f1a\u76f4\u63a5\u9020\u6210\u4e22\u5931\u3002\u52a8\u753b\u867d\u7136\u65b9\u4fbf&#xff0c;\u4f46\u6307\u9488\u7684\u79fb\u52a8\u5374\u6ca1\u6709\u8fd9\u4e48\u8f7b\u677e\u3002\u5f53\u6211\u4eec\u5c1d\u8bd5\u5411\u4e0a\u8ff0\u4ee3\u7801\u4e00\u6837\u63cf\u8ff0\u63d2\u5165\u8fc7\u7a0b\u65f6&#xff0c;\u5f88\u5feb\u5c31\u4f1a\u53d1\u73b0\u3002head\u4f5c\u4e3a\u88f8\u6307\u9488\u6ca1\u6709\u5b9e\u8d28\u7684\u8282\u70b9\u3002\u8fd9\u4e5f\u5bfc\u81f4prev-&gt;next\u5b9e\u9645\u662f\u9996\u5143\u8282\u70b9\u7684next&#xff0c;\u7b2c\u4e00\u4e2a\u8282\u70b9\u7684\u5143\u7d20\u59cb\u7ec8\u65e0\u6cd5\u6539\u53d8\u4f4d\u7f6e\u3002\u53ea\u4f1a\u63d2\u5165\u5728\u5b83\u7684\u540e\u7eed\u4f4d\u7f6e\u3002\u4e0d\u4ec5\u5982\u6b64&#xff0c;\u5f53\u7a7a\u8868\u65f6\u5982\u679c\u5c06head\u4f5c\u4e3aprev\u7684\u5b9e\u53c2\u4f20\u5165&#xff0c;\u5c06\u4f1a\u76f4\u63a5\u5bfc\u81f4\u5d29\u6e83\u3002\u8fd9\u4e5f\u662f\u6211\u4eec\u5c01\u88c5\u8868\u5934\u7684\u539f\u56e0\u4e4b\u4e00\u3002<\/p>\n<p>\/\/\u5e26\u5934\u8282\u70b9\u7684\u94fe\u8868<br \/>\ntypedef struct {<br \/>\n    LNode header;<br \/>\n    int num;<br \/>\n}LinkTable;<br \/>\n\/\/\u5e26\u5934\u6307\u9488\u7684\u94fe\u8868<br \/>\ntypedef struct {<br \/>\n    LNode* ptr_head;<br \/>\n    int num;<br \/>\n}LinkList; <\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d0d69a.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5e26\u5934\u8282\u70b9\u7684\u94fe\u8868\u7684\u786e\u80fd\u89e3\u51b3\u521a\u624d\u7684\u95ee\u9898&#xff0c;\u4f46\u5e26\u5934\u6307\u9488\u7684\u94fe\u8868\u597d\u50cf\u8ddf\u521a\u624d\u88f8\u9732\u6307\u9488\u7684\u60c5\u51b5\u76f8\u6bd4\u4e5f\u6ca1\u5dee&#xff0c;\u4ec5\u4ec5\u662f\u589e\u52a0\u4e86\u4e00\u4e2a\u7528\u4e8e\u8ba1\u8282\u70b9\u6570\u7684int\u53d8\u91cfnum\u3002\u7684\u786e&#xff0c;\u5934\u6307\u9488\u548c\u521a\u624d\u5e76\u6ca1\u6709\u591a\u5927\u533a\u522b&#xff0c;\u4f46\u662f\u5728\u4f7f\u7528\u88f8\u9732\u6307\u9488\u7684\u60c5\u51b5\u4e0b&#xff0c;\u6211\u4eec\u4f1a\u9762\u4e34\u4e00\u4e2a\u5f88\u591a\u65b0\u624b\u5bb9\u6613\u683d\u7684\u5751\u2014\u2014\u4fee\u6539\u5f62\u53c2\u800c\u672a\u6539\u5b9e\u53c2\u3002<\/p>\n<p>\u89e3\u51b3\u65b9\u6cd5<\/p>\n<p>1.\u8fd4\u56de\u503c\u66f4\u65b0<\/p>\n<p>2.\u4f20\u4e8c\u7ea7\u6307\u9488<\/p>\n<p>3.\u7ed3\u6784\u4f53\u5c01\u88c5<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8054\u60f3\u4e00\u4e0b\u4f60\u5f53\u521d\u5b66\u4e60\u6307\u9488\u65f6\u7684\u573a\u666f\u3002\u6211\u4eec\u7684\u9009\u62e9\u662f\u8981\u4e48\u5c06\u51fd\u6570\u7684\u4fee\u6539\u90e8\u5206\u4f5c\u4e3a\u8fd4\u56de\u503c\u8fd4\u56de&#xff0c;\u8981\u4e48\u76f4\u63a5\u5728\u51fd\u6570\u5185\u90e8\u89e3\u5f15\u7528\u6307\u9488\u3002\u5728\u8fd9\u91cc\u4e5f\u662f\u5982\u6b64&#xff0c;\u53ea\u4e0d\u8fc7\u8981\u5728\u51fd\u6570\u5185\u4fee\u6539\u6307\u9488&#xff08;\u7c7b\u4f3cprev &#061; prev-&gt;next;\u7684\u64cd\u4f5c&#xff09;&#xff0c;\u5219\u9700\u8981\u4f7f\u7528\u4e8c\u7ea7\u6307\u9488\u3002\u8fd9\u4f1a\u5e26\u6765\u7406\u89e3\u95e8\u69db\u9ad8\u3001\u5bb9\u6613\u51fa\u9519\u3001\u9605\u8bfb\u6027\u5dee\u7b49\u8bf8\u591a\u95ee\u9898\u3002\u800c\u7ed3\u6784\u4f53\u5219\u66f4\u52a0\u7075\u6d3b\u3001\u5b89\u5168\u3001\u6613\u7ef4\u62a4\u3002\u79cd\u79cd\u7279\u6027&#xff0c;\u4ee5\u53ca\u539f\u56e0&#xff0c;\u5728\u8fd9\u91cc\u5c31\u4e0d\u5c55\u5f00\u8bf4\u4e86&#xff0c;\u76f4\u63a5\u7ed9\u51fa\u4e24\u79cd\u60c5\u51b5\u5bf9\u5e94\u7684\u5934\u63d2\u6cd5\u4ee3\u7801&#xff1a;<\/p>\n<p>\/\/\u5e26\u5934\u8282\u70b9<br \/>\nvoid insertHeaderTable(LinkTable *table,element_t val) {<br \/>\n    LNode* prev &#061; &amp;table-&gt;header;<br \/>\n    if(insertLNode(prev,val)) {<br \/>\n        table-&gt;num&#043;&#043;;<br \/>\n    }<br \/>\n}<br \/>\n\/\/\u5e26\u5934\u6307\u9488<br \/>\nvoid insertHeaderList(LinkList* list,element_t val) {<br \/>\n    LNode header;<br \/>\n    header.next &#061; list-&gt;ptr_head;<br \/>\n    LNode* prev &#061; &amp;header;<br \/>\n    if (insertLNode(prev,val)) {<br \/>\n        list-&gt;ptr_head &#061; header.next;<br \/>\n        list-&gt;num&#043;&#043;;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4e3a\u4e86\u89e3\u51b3\u524d\u7f6e\u8282\u70b9\u7684\u95ee\u9898&#xff0c;\u6211\u4eec\u9009\u62e9\u7528\u4e00\u4e2a\u4e0d\u5b58\u653e\u6570\u636e\u7684\u8282\u70b9\u4f5c\u4e3a\u54e8\u5175\u8282\u70b9&#xff0c;\u6765\u8f85\u52a9\u5934\u63d2\u6cd5\u7684\u903b\u8f91\u7edf\u4e00\u3002\u5bf9\u4e8e\u5934\u6307\u9488\u7684\u60c5\u51b5&#xff0c;\u6211\u4eec\u53ea\u9700\u5728\u51fd\u6570\u6808\u7a7a\u95f4\u4e0a\u81ea\u52a8\u5206\u914d\u5934\u8282\u70b9&#xff0c;\u5e76\u968f\u51fd\u6570\u6808\u5e27\u9500\u6bc1\u800c\u81ea\u52a8\u56de\u6536&#xff0c;\u5373\u53ef\u5b9e\u73b0\u548c\u5e26\u5934\u7ed3\u70b9\u94fe\u8868\u64cd\u4f5c\u903b\u8f91\u7684\u7edf\u4e00&#xff0c;\u65e0\u9700\u533a\u5206\u7a7a\u8868\u4e0e\u975e\u7a7a\u8868\u7684\u8fb9\u754c\u60c5\u51b5\u3002<\/p>\n<hr \/>\n<h4>3.\u54d1\u5143\u8282\u70b9&#xff08;\u865a\u62df\u5934\u8282\u70b9&#xff09;<\/h4>\n<p>\u8bf4\u5b8c\u4e86\u5c01\u88c5\u8868\u5934\u7684\u8bf8\u591a\u597d\u5904&#xff0c;\u4f46\u5728leetcode\u4e0a\u9898\u76ee\u5927\u591a\u4e0d\u4f1a\u989d\u5916\u5c01\u88c5\u7ed3\u6784\u4f53&#xff0c;\u800c\u662f\u91c7\u7528\u8fd4\u56de\u503c\u66f4\u65b0\u7684\u65b9\u5f0f\u5f00\u653e\u4f5c\u7b54\u63a5\u53e3\u4f9b\u6211\u4eec\u7b54\u9898\u3002\u6211\u4eec\u4ecd\u7136\u53ef\u4ee5\u6548\u4eff\u4e4b\u524d\u7684\u903b\u8f91\u3002\u5206\u914d\u54d1\u5143\u8282\u70b9dummy\u3002<\/p>\n<p>LNode* insertLink(LNode* head,element_t val) {<br \/>\n    LNode dummy;<br \/>\n    dummy.next &#061; head;<br \/>\n    LNode* prev &#061; &amp;dummy;<br \/>\n    if (insertLNode(prev,val)) {<br \/>\n        return dummy.next;\/\/     &lt;&#8212;&#8212;&#8212;&#8212;<br \/>\n    }<br \/>\n    printf(&#034;insertLink Failed!\\\\n&#034;);<br \/>\n    return head;<br \/>\n} <\/p>\n<p>\u8fd9\u91cc\u503c\u5f97\u6ce8\u610f\u7684\u662f&#xff0c;\u7bad\u5934\u6807\u8bb0\u5904\u4e3a\u4f55\u8981\u8fd4\u56dedummy.next&#xff1f;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d1ded7.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u901a\u8fc7\u56fe\u7247\u53ef\u4ee5\u76f4\u89c2\u7406\u89e3&#xff0c;\u54d1\u5143\u8282\u70b9\u53ea\u662f\u8d77\u4e34\u65f6\u7684\u8f85\u52a9\u4f5c\u7528&#xff0c;\u4f1a\u5728\u51fd\u6570\u6808\u5e27\u9500\u6bc1\u65f6\u968f\u4e4b\u88ab\u56de\u6536\u3002\u5982\u679c\u6211\u4eec\u4e0d\u901a\u8fc7\u8fd4\u56de\u503c\u53bb\u66f4\u65b0\u9996\u5143\u8282\u70b9\u7684\u5730\u5740head\u5219\u662f\u505a\u4e86\u65e0\u7528\u529f\u3002\u56e0\u4e3a\u63d2\u5165\u65b0\u7684\u8282\u70b9\u65f6&#xff0c;\u5934\u6307\u9488\u5e94\u8be5\u968f\u4e4b\u6539\u53d8\u3002\u5176\u4ed6\u7684\u64cd\u4f5c\u903b\u8f91&#xff0c;\u6b64\u5904\u5c31\u4e0d\u8fc7\u591a\u5c55\u5f00\u4e86\u3002\u6982\u5ff5\u5341\u5206\u7b80\u5355&#xff0c;\u5982\u679c\u4f60\u611f\u5230\u7406\u89e3\u56f0\u96be&#xff0c;\u8bf7\u52a1\u5fc5\u5148\u4e0a\u624b\u6572\u6572\u952e\u76d8&#xff0c;\u753b\u753b\u56fe&#xff0c;\u8fd9\u5c06\u6709\u52a9\u4e8e\u4f60\u7406\u89e3\u548c\u719f\u6089\u3002<\/p>\n<\/p>\n<p>\u63a5\u4e0b\u6765\u8fdb\u5165\u5b9e\u6218\u90e8\u5206\u3002<\/p>\n<hr \/>\n<h3>\u4e8c\u3001\u8be6\u7ec6\u89e3\u6790<\/h3>\n<h4>1.\u53cd\u8f6c\u94fe\u8868-\u7b80\u5355<\/h4>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d3cc39.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d51032.png\" \/><\/p>\n<p>\u4f5c\u7b54\u63a5\u53e3&#xff1a;<\/p>\n<p>\/**<br \/>\n * Definition for singly-linked list.<br \/>\n * struct ListNode {<br \/>\n *     int val;<br \/>\n *     struct ListNode *next;<br \/>\n * };<br \/>\n*\/<br \/>\nstruct ListNode* reverseList(struct ListNode* head) {<br \/>\n    \/\/\u6b64\u5904\u586b\u5199\u4ee3\u7801<br \/>\n} <\/p>\n<hr \/>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d5a6ca.png\" \/><\/p>\n<p>1.1\u9898\u76ee\u5206\u6790<\/p>\n<p>\u5148\u8bf4\u7ed3\u8bba&#xff1a;\u770b\u5230 \u53cd\u8f6c\u94fe\u8868&#xff0c;\u76f4\u63a5\u53cd\u5e94\u5230\u8003\u201c\u6307\u9488\u53cd\u8f6c\u201d\u7684\u6838\u5fc3\u64cd\u4f5c&#xff0c;\u6709\u4e09\u79cd\u89e3\u9898\u65b9\u6cd5&#xff1a;<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u65f6\u95f4\u590d\u6742\u5ea6 \u7a7a\u95f4\u590d\u6742\u5ea6<\/p>\n<p>1.\u5934\u63d2\u6cd5\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(n)\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 O(1)<\/p>\n<p>2.\u9012\u5f52\u6cd5\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 O(n)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0O(n)<\/p>\n<p>3.\u8fed\u4ee3\u6cd5 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(n)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0O(1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u201c\u6700\u4f18\u89e3\u201d\u00a0<\/p>\n<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6a21\u5f0f\u8bc6\u522b\u540e&#xff0c;\u7acb\u523b\u8c03\u7528\u53cc\u6307\u9488\u8fed\u4ee3\u56fa\u5316\u7684\u6a21\u677f&#xff0c;\u5206\u522b\u7528\u4e24\u4e2a\u6307\u9488\u8bb0\u5f55\u201c\u524d\u9a71\u201d\u548c\u201c\u5f53\u524d\u201d&#xff0c;\u904d\u5386\u8fc7\u7a0b\u4e2d\u5b8c\u6210\u53cd\u8f6c\u3002<\/p>\n<p>struct ListNode* reverseList(struct ListNode* head) {<br \/>\n    struct ListNode *prev &#061; NULL&#xff1b;<br \/>\n    struct ListNode *curr &#061; head;<br \/>\n    while (curr) {<br \/>\n        struct ListNode* next &#061; curr-&gt;next;<br \/>\n        curr-&gt;next &#061; prev;<br \/>\n        prev &#061; curr;<br \/>\n        curr &#061; next;<br \/>\n    }<br \/>\n    return prev;<br \/>\n} <\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f&#xff0c;\u4e09\u79cd\u65b9\u6cd5\u7684\u6289\u62e9\u5e76\u4e0d\u662f\u8003\u573a\u6216\u9762\u8bd5\u65f6\u4e34\u65f6\u601d\u8003\u7684\u5185\u5bb9&#xff0c;\u800c\u662f\u4e4b\u524d\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u79ef\u7d2f\u7684\u7ecf\u9a8c\u3002\u8be6\u89e3\u7a0d\u540e\u89c1\u7b2c\u4e09\u90e8\u5206\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d66b50.gif\" \/><\/p>\n<p>*\u9700\u8981\u6ce8\u610f\u7684\u662f\u52a8\u753b\u6700\u540enext\u8fd8\u8fdb\u884c\u4e86\u79fb\u52a8&#xff0c;\u5b9e\u9645\u6ca1\u6709\u53d1\u751f&#xff0c;next\u5728\u5b9e\u9645\u64cd\u4f5c\u4e2d\u53ea\u662f\u4e34\u65f6\u53d8\u91cf&#xff0c;\u548ccurr\u7ed1\u5b9a\u5728\u4e00\u8d77\u53ea\u4e3a\u4e86\u65b9\u4fbf\u52a8\u753b\u6f14\u793a\u3002<\/p>\n<hr \/>\n<p>1.2\u601d\u8def\u63a8\u5bfc<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d7a52a.png\" \/><\/p>\n<p>\u6b63\u9898<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5f53\u6211\u4eec\u7b2c\u4e00\u6b21\u63a5\u89e6\u8fd9\u9898\u65f6&#xff0c;\u6211\u4eec\u4e0d\u4f1a\u4ece\u4e00\u5f00\u59cb\u5c31\u8bbe\u60f3\u901a\u8fc7\u53cc\u6307\u9488\u8fed\u4ee3\u53bb\u8fdb\u884c\u4e00\u4e2a\u53cd\u8f6c\u6307\u9488\u7684\u64cd\u4f5c\u3002&#xff08;\u4e0d\u6392\u9664\u60a8\u975e\u5e38\u806a\u660e&#xff09;\u6b63\u5e38\u7684\u601d\u7ef4\u5e94\u5f53\u662f\u4ece\u6211\u4eec\u3010\u4f1a\u4ec0\u4e48\u3011\u5f00\u59cb\u3002\u6211\u53ef\u4ee5\u8bbe\u60f3\u91cd\u65b0\u521b\u5efa\u4e00\u4e2a\u94fe\u8868&#xff0c;\u6bcf\u6b21\u8bfb\u53d6\u9898\u76ee\u94fe\u8868\u7684\u6700\u540e\u4e00\u4f4d&#xff0c;\u7136\u540e\u4f9d\u6b21\u5f80\u524d&#xff0c;\u8d4b\u503c\u7ed9\u65b0\u7684\u94fe\u8868\u3002\u8bda\u7136&#xff0c;\u8fd9\u6837\u7684\u65b9\u6cd5\u5f88\u201c\u8822\u201d&#xff0c;\u5374\u53ef\u4ee5\u4f5c\u4e3a\u6211\u4eec\u601d\u8003\u7684\u8d77\u70b9\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6709\u4e86\u8fd9\u4e2a\u601d\u8003\u951a\u70b9\u8fc7\u540e&#xff0c;\u6211\u4eec\u5e94\u8be5\u7740\u624b\u601d\u8003\u5b83\u4e3a\u4ec0\u4e48\u76f4\u89c9\u4e0a\u5c31\u5f88\u201c\u8822\u201d&#xff1f;\u6362\u8a00\u4e4b\u5f0a\u7aef\u5728\u54ea&#xff1f;<\/p>\n<p>\u53cd\u9898<\/p>\n<p>1.\u9898\u5e72\u7ed9\u51fa\u4e3a\u5355\u5411\u94fe\u8868&#xff0c;\u4ece\u5c3e\u5230\u5934\u8bfb\u53d6\u5fc5\u7136\u6548\u7387\u6781\u4f4e O&#xff08;n\u00b2&#xff09;<\/p>\n<p>2.\u903b\u8f91\u5197\u4f59&#xff0c;\u770b\u4f3c\u7b26\u5408\u76f4\u89c9&#xff0c;\u5b9e\u9645\u4ee3\u7801\u4e3a\u4e86\u56f4\u7ed5\u601d\u8003\u951a\u70b9\u8f6c\u4f1a\u51fa\u73b0\u5927\u91cf\u53ef\u76f4\u63a5\u5316\u7b80\u7684\u5197\u4f59\u3002<\/p>\n<p>3.\u989d\u5916\u5360\u7528 O(n) \u7684\u7a7a\u95f4&#xff0c;\u8fd9\u79cd\u505a\u6cd5\u751a\u81f3\u53ef\u4ee5\u53d8\u4e3a\u76f4\u63a5\u8bfb\u53d6\u5b58\u5165\u6570\u7ec4&#xff0c;\u518d\u65b0\u5efa\u94fe\u8868&#xff0c;\u7b26\u5408\u76f4\u89c9\u4f46\u7a7a\u95f4\u5f00\u9500\u5927<\/p>\n<p>\u6211\u4eec\u9010\u4e2a\u53bb\u89e3\u51b3\u8fd9\u4e9b\u5f0a\u7aef&#xff0c;\u770b\u770b\u80fd\u4e0d\u80fd\u5f97\u5230\u4e00\u4e2a\u6700\u7ec8\u4f18\u5316\u7248\u672c&#xff0c;\u800c\u8fd9\u4e2a\u7248\u672c\u81f3\u5c11\u80fd\u4e3a\u6211\u4eec\u5f00\u8def\u3002<\/p>\n<\/p>\n<p>\u80fd\u4e0d\u80fd\u4ece\u5934\u5230\u5c3e&#xff1f;\u2014\u2014\u4f18\u5316\u904d\u5386\u65b9\u5f0f<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u653e\u5f03\u4ece\u5c3e\u5230\u5934\u8bfb\u53d6&#xff0c;\u6539\u4e3a\u6b63\u5411\u904d\u5386&#xff0c;\u6211\u4eec\u5148\u5047\u8bbe\u628a\u94fe\u8868\u7684\u6570\u636e\u5168\u90e8\u8bfb\u5165\u6570\u7ec4\u3002\u53ea\u8fdb\u884c\u4e86\u4e00\u6b21O(n)\u7684\u5fc5\u7136\u9700\u8981\u7684\u8bfb\u53d6\u64cd\u4f5c<\/p>\n<p>\u80fd\u5426\u627e\u5230\u4e0d\u7528\u4e3b\u52a8\u8d34\u5408\u7684\u95ed\u73af\u903b\u8f91&#xff1f;\u2014\u2014\u4f18\u5316\u5b9e\u73b0\u903b\u8f91<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5148\u4e0d\u7ba1\u7a7a\u95f4\u6216\u65f6\u95f4&#xff0c;\u521a\u624d\u6211\u4eec\u8fc7\u5ea6\u5173\u6ce8\u5b9e\u73b0\u7684\u8fc7\u7a0b&#xff0c;\u73b0\u5728\u4e0d\u59a8\u91cd\u65b0\u805a\u7126\u76ee\u7684\u2014\u2014\u9700\u8981\u4e00\u4e2a\u65b0\u94fe\u8868&#xff0c;\u90a3\u5c31\u53ef\u4ee5\u7528\u6211\u4eec\u5df2\u7ecf\u56fa\u5316\u7684\u5934\u63d2\u6cd5\u903b\u8f91\u6765\u5c1d\u8bd5\u5b9e\u73b0\u903b\u8f91\u95ed\u5408\u3002<\/p>\n<p>\u80fd\u4e0d\u80fd\u539f\u5730\u53d8\u6362 &#xff1f;\u2014\u2014\u4f18\u5316\u7a7a\u95f4\u4f7f\u7528<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u539f\u5730\u53d8\u6362&#xff0c;\u4e3a\u4e86\u4f18\u5316\u7a7a\u95f4&#xff0c;\u9898\u76ee\u7ed9\u51fa\u7684\u94fe\u8868\u5404\u4e2a\u8282\u70b9\u672c\u8eab\u6240\u5360\u7a7a\u95f4\u5c31\u6781\u5176\u5b9d\u8d35\u3002\u5982\u540c\u7a7f\u73e0\u5b50\u4e00\u6837&#xff0c;\u73e0\u5b50\u672c\u8eab\u4e0d\u52a8&#xff0c;\u4f46\u6211\u4eec\u53ef\u4ee5\u53cd\u8fc7\u6765\u7a7f&#xff0c;\u53ea\u9700\u8c03\u8f6c\u6307\u9488\u65b9\u5411\u5373\u53ef\u4f18\u5316<\/p>\n<p>\u5408\u9898<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u53ef\u4ee5\u5c1d\u8bd5\u8fdb\u884c\u7b80\u5355\u7684\u6392\u5217\u7ec4\u5408\u770b\u770b\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002<\/p>\n<hr \/>\n<p>1.2.1\u5934\u63d2\u6cd5<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7efc\u5408\u4e24\u70b9&#xff0c;\u6211\u4eec\u65e2\u9700\u8981\u6b63\u5411\u904d\u5386&#xff0c;\u53c8\u8981\u7528\u5934\u63d2\u6cd5\u7684\u56fa\u5316\u903b\u8f91&#xff0c;\u4e14\u6682\u65f6\u4e0d\u8003\u8651\u7a7a\u95f4\u95ee\u9898\u3002\u4e0d\u59a8\u65b0\u5efa\u4e00\u4e2a\u94fe\u8868\u8bd5\u8bd5\u770b\u3002<\/p>\n<p>\u5f53\u6211\u4eec\u51c6\u5907\u63d2\u5165\u65b0\u8282\u70b9\u7684\u9002\u5408&#xff0c;\u81ea\u7136\u60f3\u5230&#xff0c;\u6211\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u9898\u7ed9\u7684\u94fe\u8868\u7a7a\u95f4\u800c\u65e0\u9700\u4e3b\u52a8\u7533\u8bf7\u548c\u9500\u6bc1\u5806\u7a7a\u95f4\u3002\u5982\u6b64\u4e00\u6765&#xff0c;\u5f0a\u7aef3\u4e5f\u88ab\u987a\u5e26\u89e3\u51b3\u4e86\u3002<\/p>\n<p>\u6211\u4eec\u60f3\u5230\u76f4\u63a5\u62ff\u8282\u70b9\u6765\u7528&#xff0c;\u4f46\u9996\u5143\u8282\u70b9\u8fd8\u542b\u6709\u540e\u9762\u7684\u8282\u70b9\u7684\u4fe1\u606f\u3002\u4e8e\u662f\u6211\u4eec\u53ef\u4ee5\u65b0\u5efa\u6307\u9488ListNode*curr\u6765\u4fdd\u62a4\u540e\u7eed\u8282\u70b9\u3002\u6b64\u65f6\u9996\u5143\u8282\u70b9\u5f7b\u5e95\u81ea\u7531&#xff0c;\u4e0b\u4e00\u6b65\u5b83\u9700\u8981\u89e3\u653e\u4e0a\u4e00\u4e2a\u8282\u70b9&#xff0c;\u867d\u8bf4\u54d1\u5143\u8282\u70b9\u76f4\u63a5\u6307\u5411NULL&#xff0c;\u4f46\u6211\u4eec\u4e5f\u89c6\u4f5c\u4fdd\u62a4\u5bf9\u8c61&#xff0c;\u5982\u6b64\u4e00\u6765\u5c31\u7edf\u4e00\u4e86\u4ee3\u7801\u903b\u8f91\u3002\u63a5\u7740\u63a8\u6f14&#xff0c;\u5f53\u524d\u7f6e\u8282\u70b9\u7684next\u88ab\u89e3\u653e\u540e&#xff0c;\u5c31\u53ef\u4ee5\u76f4\u63a5\u6307\u5411\u4e0b\u4e00\u4e2a\u8282\u70b9\u3002\u8fd9\u4e2a\u65f6\u5019\u6211\u4eec\u60ca\u8bb6\u7684\u53d1\u73b0&#xff0c;\u9006\u8f6c\u6307\u9488\u7684\u64cd\u4f5c\u88ab\u6211\u4eec\u7528\u4e00\u79cd\u7c7b\u4f3c\u5165\u6808\u7684\u65b9\u5f0f\u89e3\u51b3\u4e86&#xff0c;\u7531\u4e8e\u5148\u5165\u540e\u51fa&#xff0c;\u538b\u5165\u5e95\u90e8\u7684\u8282\u70b9\u4e5f\u5c31\u4ece\u9996\u5143\u8282\u70b9\u7ffb\u8f6c\u4e3a\u5c3e\u8282\u70b9\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d8e2cf.gif\" \/><\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f&#xff0c;curr\u4e00\u5f00\u59cb\u4e0d\u5e94\u8be5\u6307\u5411NULL&#xff0c;\u800c\u5e94\u8be5\u6307\u5411\u5934\u8282\u70b9&#xff0c;\u6b64\u5904\u7eaf\u5c5e\u6f14\u793a\u5931\u8bef&#xff0c;\u4f46\u65e0\u4f24\u5927\u96c5\u3002<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0\u5982\u4e0b:<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* reverseList(struct ListNode* head) {<br \/>\n    ListNode dummy; \/\/\u54d1\u5143or\u865a\u62df\u5934\u8282\u70b9<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* curr &#061; head;\/\/\u4e0d\u80fd\u4e3aNULL&#xff0c;\u786e\u4fdd\u80fd\u8fdb\u5faa\u73af<br \/>\n    while(curr){<br \/>\n        curr &#061; head-&gt;next;\/\/\u4fdd\u62a4\u540e\u7eed\u6307\u9488<br \/>\n        head-&gt;next &#061; dummy.next;\/\/head-&gt;next \u5373\u5f53\u524d\u8282\u70b9\u7684next\u88ab\u89e3\u653e&#xff0c;\u8fdb\u800c\u89e3\u653e\u54d1\u5143\u8282\u70b9\u7684\u5de5\u4f5c<br \/>\n        dummy.next &#061; head;\/\/\u540c\u7406<br \/>\n        head &#061; curr;\/\/\u65b0\u5934\u6362\u65e7\u5934<br \/>\n    }<br \/>\n    return dummy.next;\/\/\u8fd4\u56de\u65b0\u94fe\u8868\u7684\u5934&#xff0c;dummy\u968f\u51fd\u6570\u6808\u5e27\u7684\u9500\u6bc1\u968f\u4e4b\u88ab\u56de\u6536<br \/>\n} <\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(N) (while\u5faa\u73af\u904d\u5386\u4e00\u904d\u5168\u90e8\u8282\u70b9)<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554d9f957.png\" \/><\/p>\n<p>\u8fd9\u6837\u5c31\u5df2\u7ecf\u5b9e\u73b0\u4e86\u65f6\u95f4\u590d\u6742\u5ea6\u6700\u4f18\u7684\u89e3\u6cd5,\u4e0d\u59a8\u7ee7\u7eed\u8fdb\u884c\u5176\u4ed6\u65b9\u6cd5\u7684\u5c1d\u8bd5\u3002\u867d\u7136\u521a\u624d\u7a7a\u95f4\u5f00\u9500\u7684\u95ee\u9898\u88ab\u987a\u5e26\u89e3\u51b3\u4e86&#xff0c;\u4f46\u53cd\u8f6c\u6307\u9488\u7684\u60f3\u6cd5\u8fd8\u6ca1\u6709\u8fdb\u884c\u5c1d\u8bd5\u3002\u6211\u4eec\u53ef\u4ee5\u5148\u6765\u8fdb\u884c\u601d\u8003\u5b9e\u9a8c&#xff0c;\u5982\u679c\u6211\u4eec\u4ec0\u4e48\u90fd\u4e0d\u8003\u8651&#xff0c;\u76f4\u63a5\u8c03\u8f6c\u6307\u9488\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554da7ad3.png\" \/><\/p>\n<p>\u5f88\u597d&#xff0c;\u4ece\u56fe\u53ef\u4ee5\u770b\u51fa&#xff0c;\u4e94\u53f7\u8282\u70b9\u7684\u6307\u9488\u6210\u529f\u5b8c\u6210\u4e86\u5012\u8f6c&#xff0c;\u867d\u7136\u4e94\u8282\u70b9\u6307\u5411\u7684NULL\u4e0d\u662f\u9700\u8981\u88ab\u4fdd\u62a4\u7684\u5185\u5bb9&#xff0c;\u4f46\u662f\u8fd9\u6837\u7684\u64cd\u4f5c\u4ecd\u7136\u8ba9\u6211\u4eec\u7f3a\u4e4f\u5b89\u5168\u611f\u3002\u6211\u4eec\u7ee7\u7eed\u63a8\u6f14\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554dc0963.png\" \/><\/p>\n<p>\u8fd9\u4e2a\u65f6\u5019\u95ee\u9898\u5c31\u771f\u6b63\u5730\u66b4\u9732\u51fa\u6765\u4e86&#xff0c;\u56e0\u4e3a\u56db\u53f7\u8282\u70b9\u7684\u804c\u8d23\u51b2\u7a81&#xff0c;\u5b83\u540c\u65f6\u627f\u62c5\u4e86\u4fdd\u62a4\u4e94\u53f7\u8282\u70b9\u548c\u53cd\u8f6c\u64cd\u4f5c\u7684\u8d23\u4efb\u3002\u8fd9\u8ba9\u5b83\u4e0d\u582a\u91cd\u8d1f&#xff0c;\u76f4\u63a5\u653e\u5f03\u4e86\u4e94\u53f7\u8282\u70b9\u3002\u6700\u76f4\u63a5\u7684\u7ed3\u679c\u5c31\u662f\u4e94\u53f7\u8282\u70b9\u7684\u4fe1\u606f\u4e22\u5931\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u5148\u4e0d\u6025\u7740\u53bb\u201c\u9a6c\u4e0a\u6d3e\u9063\u4e00\u4e2a\u6307\u9488\u7ba1\u7406\u5c3e\u8282\u70b9\u201d\u3002\u6240\u8c13\u8c0b\u5b9a\u800c\u540e\u52a8\u3002\u5148\u4ed4\u7ec6\u601d\u8003\u548c\u5b9e\u9645\u64cd\u4f5c\u76f8\u6bd4&#xff0c;\u6709\u54ea\u4e9b\u9700\u8981\u4f18\u5316\u7684\u90e8\u5206&#xff1f; \u5206\u62c5\u804c\u8d23\u5f53\u7136\u7b97\u4e00\u4e2a&#xff0c;\u53e6\u5916\u4e00\u4e2a\u91cd\u8981\u7684\u4e8b\u60c5\u5176\u5b9e\u88ab\u6211\u4eec\u5ffd\u7565\u4e86&#xff0c;\u56fe\u7247\u6f14\u793a\u7684\u76f4\u89c2\u6027&#xff0c;\u6211\u4eec\u9884\u8bbe\u4e86\u6211\u4eec\u62e5\u6709\u53ef\u4ee5\u64cd\u63a7\u5168\u5c40\u7684\u6307\u9488\u6307\u5411\u8fd9\u4e2a\u80fd\u529b\u3002\u4f46\u5b9e\u9645\u6211\u5982\u679c\u53bb\u52a8\u5c3e\u8282\u70b9\u7684\u8bdd&#xff0c;\u662f\u9700\u8981\u4ece\u5934\u5230\u5c3e\u5148\u904d\u5386\u4e00\u904d\u94fe\u8868\u7684&#xff0c;\u904d\u5386\u7684\u7ed3\u675f\u6761\u4ef6curr-&gt;next &#061; NULL,\u8fd9\u91cc\u76f4\u63a5\u5f62\u6210\u4e86\u5c40\u90e8\u7684\u5faa\u73af&#xff0c;\u4f1a\u5bfc\u81f4\u7ed3\u675f\u6761\u4ef6\u59cb\u7ec8\u4e3a\u5047&#xff0c;\u9020\u6210\u6b7b\u5faa\u73af\u3002\u8fd9\u662f\u5176\u6b21&#xff0c;\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba9\u53cd\u8f6c\u540e\u6307\u5411\u7684\u8282\u70b9\u7684next &#061; NULL\u6765\u89e3\u51b3&#xff0c;\u5982\u679c\u7ee7\u7eed\u63a8\u6f14\u7684\u8bdd\u7684\u786e\u662f\u53ef\u884c\u7684\u3002\u4f46\u6700\u5927\u7684\u95ee\u9898\u5728\u4e8e\u8fd9\u6837\u5f97\u51fa\u7684\u65b9\u6cd5\u65f6\u95f4\u590d\u6742\u5ea6\u4e0a\u754c\u4e3aO(n\u00b2)\u3002\u6211\u4eec\u5728\u627e\u5c3e\u8282\u70b9\u7684\u65f6\u5019\u53ea\u662f\u5728\u5f80\u540e\u627e&#xff0c;\u800c\u4ec0\u4e48\u90fd\u6ca1\u6709\u5e72&#xff0c;\u628a\u5b9d\u8d35\u7684\u904d\u5386\u6b21\u6570\u6d6a\u8d39\u4e86\u3002\u6240\u4ee5\u6211\u4eec\u5e94\u8be5\u805a\u7126\u7684\u662f\u201c\u505a\u4e9b\u4ec0\u4e48\u201d\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6700\u66b4\u529b\u7684\u529e\u6cd5\u5c31\u662f&#xff0c;curr\u8d70\u5230\u6bcf\u4e2a\u8282\u70b9\u65f6\u90fd\u7528\u4e00\u4e2a\u6307\u9488\u6307\u7740\u8fd9\u4e2a\u8282\u70b9&#xff0c;\u76f4\u63a5\u7528\u6570\u7ec4\u5b58\u8d77\u6765&#xff0c;\u95ee\u9898\u5728\u4e8e\u9898\u76ee\u6ca1\u6709\u7ed9\u6211\u4eec\u8282\u70b9\u7684\u6570\u91cf\u3002\u4e8e\u662f\u6211\u4eec\u53ef\u4ee5\u5728\u5806\u4e0a\u7ef4\u62a4\u4e00\u4e2a\u52a8\u6001\u6570\u7ec4\u3002\u8fd9\u662f\u53ef\u884c\u7684&#xff0c;\u867d\u7136\u770b\u4e0a\u53bb\u6709\u70b9\u50bb&#xff0c;\u4f46\u662f\u5df2\u7ecf\u975e\u5e38\u8d34\u8fd1\u9012\u5f52\u6cd5\u7684\u5b9e\u73b0\u903b\u8f91\u4e86&#xff0c;\u6211\u4eec\u6b63\u5e38\u53bb\u8bb2\u9012\u5f52\u662f\u600e\u4e48\u53bb\u7406\u89e3\u7684&#xff1f;<\/p>\n<hr \/>\n<p>1.2.2\u9012\u5f52\u6cd5<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554dd2358.gif\" \/><\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u7684\u53cd\u8f6c\u5de5\u4f5c\u5df2\u7ecf\u505a\u5230\u6700\u540e\u4e00\u6b65&#xff0c;\u6b63\u5982\u52a8\u753b\u6240\u793a&#xff0c;\u53ea\u9700\u8981head-&gt;next&#061;NULL\u5373\u53ef\u3002\u6b64\u65f6\u6211\u4eec\u8981\u8fd4\u56de\u7684\u6307\u9488\u662f\u54ea\u4e2a\u5462&#xff1f;newhead4\u3002\u6211\u4eec\u5c06\u8fd9\u4e2a\u8fc7\u7a0b\u62bd\u79bb\u51fa\u6765<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191733-697e554de00dd.gif\" \/><\/p>\n<p>\u5c31\u80fd\u6e05\u6670\u5730\u770b\u51fa&#xff0c;\u9996\u5148\u8ba9head-&gt;next-&gt;next(\u5373\u8282\u70b92\u7684next)\u6307\u5411head\u6307\u5411\u7684\u76ee\u6807&#xff08;\u8282\u70b91&#xff09;\u3002\u518d\u8ba9head-&gt;next &#061; NULL\u6765\u89e3\u9664\u201d\u4e92\u6307\u201c\u72b6\u6001\u3002\u63a5\u7740\u6211\u4eec\u8fd4\u56denewhead\u3002\u8fd9\u5c31\u662f\u6574\u4e2areverse\u51fd\u6570\u5e72\u7684\u4e8b\u60c5\u3002\u975e\u5e38\u6e05\u6670&#xff0c;\u975e\u5e38\u5e72\u8106\u3002\u6211\u4eec\u8f93\u5165\u7684\u662f\u5de6\u8fb9\u7684\u6307\u9488\u3002\u8fd4\u56de\u7684\u5374\u662f\u53f3\u8fb9\u7684\u6307\u9488\u3002\u8fd9\u5177\u6709\u67d0\u79cd\u4f20\u9012\u6027\u3002\u56de\u5230\u524d\u9762\u4e94\u4e2a\u7ed3\u70b9\u7684\u94fe\u8868\u56fe\u3002\u6211\u4eec\u73b0\u5728\u53ea\u8981reverse\u5e72\u201d\u4e00\u4ef6\u201c\u4e8b\u60c5\u2014\u2014\u7ed9\u5de6\u8fb9\u7684\u6307\u9488&#xff0c;\u8fd4\u56de\u7ed9\u6211\u53f3\u8fb9\u7684\u6307\u9488\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\n\/\/\u53ea\u80fd\u5b9e\u73b0\u4e24\u4e2a\u8282\u70b9\u95f4\u6307\u9488\u53cd\u8f6c\u7684reverse\u51fd\u6570<br \/>\nstruct ListNode* reverseList(struct ListNode* head) {<br \/>\n    if(head || head-&gt;next) return NULL;<br \/>\n    ListNode* newhead &#061; head-&gt;next;<br \/>\n    head-&gt;next-&gt;next &#061; head;<br \/>\n    head-&gt;next &#061; NULL;<br \/>\n    return newhead;<br \/>\n}<br \/>\n\/\/\u8c03\u7528\u65f6<br \/>\n{<br \/>\n    ListNode* newhead1 &#061; reverseList(head);<br \/>\n    ListNode* newhead2 &#061; reverseList(newhead1);<br \/>\n\/\/  &#8230;&#8230;<br \/>\n} <\/p>\n<p>\u8fd9\u6837\u6765\u770b&#xff0c;\u6211\u4eec\u662f\u4e0d\u662f\u8fd8\u5dee\u201d\u4e34\u95e8\u4e00\u811a\u201c&#xff1f;<\/p>\n<p>ListNode* newhead1 &#061; reverseList(head);<br \/>\nListNode* newhead2 &#061; reverseList(newhead1);<br \/>\n\/\/&#8230;&#8230;<br \/>\n\/\/\u76f8\u5f53\u4e8e&#8211;&gt;ListNode* newhead2 &#061;<br \/>\n\/\/reverseList(reverseList(&#8230;(reverseList(reverseList(head)))&#8230;); <\/p>\n<p>\u628a\u5197\u4f59\u903b\u8f91\u5316\u7b80\u540e&#xff0c;\u6211\u4eec\u5b9e\u9645\u53ea\u9700\u8981\u4f20\u5165head\u5373\u53ef\u5b8c\u6210\u3002\u6211\u4eec\u4e4b\u6240\u4ee5\u8fd8\u8981\u5728\u5916\u9762\u5d4c\u5957\u90a3\u4e48\u591a\u6b21\u662f\u56e0\u4e3a\u6211\u4eec\u628ahead-&gt;next\u8fd9\u4e2a\u4e2d\u95f4\u91cf\u7ed9\u62ff\u51fa\u6765\u4e86\u3002\u65e2\u7136\u603b\u662f\u8981\u4fee\u6539\u8fd4\u56de\u503c\u3002\u4e3a\u4ec0\u4e48\u4e0d\u5728\u8fd4\u56de\u4e4b\u524d\u5c31\u6539\u597d\u5462&#xff1f;<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* reverseList(struct ListNode* head) {<br \/>\n    if(head || head-&gt;next) return NULL;<br \/>\n    ListNode* newhead &#061; reverseList(head-&gt;next);<br \/>\n    head-&gt;next-&gt;next &#061; head;<br \/>\n    head-&gt;next &#061; NULL;<br \/>\n    return newhead;<br \/>\n} <\/p>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u6210\u529f\u7684\u5b9e\u73b0\u4e86\u9012\u5f52\u6cd5\u3002\u521a\u624d\u52a8\u6001\u6570\u7ec4\u5b58\u6307\u9488\u7684\u201c\u50bb\u65b9\u6cd5\u201d\u7a81\u7136\u6447\u8eab\u4e00\u53d8\u8715\u53d8\u6210\u4e86\u201d\u806a\u660e\u65b9\u6cd5\u201c\u3002\u8fd9\u4e5f\u662f\u521a\u624d\u4e3a\u4ec0\u4e48\u8bf4\u601d\u8def\u5df2\u7ecf\u975e\u5e38\u63a5\u8fd1\u9012\u5f52\u4e86\u3002\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO(n),\u9012\u5f52\u4e0d\u662f\u4e0d\u7528\u50a8\u5b58\u6bcf\u4e2a\u8282\u70b9\u7684\u6307\u9488&#xff0c;\u800c\u662f\u9012\u5f52\u6cd5\u5b9e\u73b0\u94fe\u8868\u53cd\u8f6c\u65f6&#xff0c;\u6bcf\u4e00\u6b21\u8c03\u7528 reverse \u51fd\u6570\u90fd\u4f1a\u521b\u5efa\u4e00\u4e2a\u6808\u5e27&#xff0c;\u8fd9\u4e2a\u6808\u5e27\u4e2d\u4f1a\u4fdd\u5b58\u5f53\u524d\u5904\u7406\u8282\u70b9\u7684\u6307\u9488&#xff08;\u4ee5\u53ca\u5c40\u90e8\u53d8\u91cf\u7b49\u4e0a\u4e0b\u6587&#xff09;&#xff0c;\u6240\u6709\u9012\u5f52\u8c03\u7528\u7684\u6808\u5e27\u7d2f\u79ef\u8d77\u6765&#xff0c;\u5c31\u4fdd\u7559\u4e86\u94fe\u8868\u4e2d\u6bcf\u4e2a\u5f85\u5904\u7406\u8282\u70b9\u7684\u6307\u9488\u4fe1\u606f\u3002\u4f46\u5728\u5b9e\u9645\u5b9e\u8df5\u4e2d\u901a\u5e38\u4e0d\u4f1a\u4f7f\u7528\u8fd9\u79cd\u65b9\u6cd5&#xff0c;\u5c24\u5176\u5728\u5de5\u7a0b\u5b9e\u8df5\u4e2d&#xff0c;\u9012\u5f52\u901a\u5e38\u4f1a\u88ab\u9650\u5236\u4f7f\u7528&#xff0c;\u8fd9\u662f\u4e3a\u4e86\u907f\u514d\u6808\u6ea2\u51fa&#xff08;stack overflow&#xff09;\u3002\u5982\u679c\u975e\u8981\u4f7f\u7528&#xff0c;\u53ef\u4ee5\u7528\u52a8\u6001\u6570\u7ec4\u66ff\u4ee3\u3002<\/p>\n<hr \/>\n<p>1.2.3\u53cc\u6307\u9488\u8fed\u4ee3\u6cd5<\/p>\n<p>\u7ed5\u4e86\u8fd9\u4e48\u4e00\u5927\u5708&#xff0c;\u7ed3\u679c\u6211\u4eec\u4e4b\u524d\u4f18\u5316\u7a7a\u95f4\u7684\u76ee\u7684\u53cd\u800c\u6ca1\u80fd\u5b9e\u73b0&#xff0c;\u751a\u81f3\u6bd4\u4e0d\u8fc7\u5934\u63d2\u6cd5\u7684O(1);\u539f\u56e0\u5c31\u5728\u4e8e\u6211\u4eec\u662f\u987a\u7740\u4e00\u5f00\u59cb\u60f3\u5230\u7684\u66b4\u529b\u65b9\u6cd5\u4f18\u5316\u7684\u3002\u800c\u4e14&#xff0c;\u5373\u4f7f\u662f\u9012\u5f52\u6cd5&#xff0c;\u4ecd\u7136\u4e5f\u662f\u4ece\u5c3e\u90e8\u5f00\u59cb\u6362\u65b9\u5411&#xff0c;\u53ea\u4e0d\u8fc7\u56e0\u4e3a\u63d0\u524d\u4fdd\u5b58\u4e86\u524d\u9762\u8282\u70b9\u7684\u6307\u9488&#xff0c;\u4e0d\u4f1a\u51fa\u73b0\u91cd\u590d\u904d\u5386\u7684\u95ee\u9898\u3002\u5bf9\u4e8e\u76f4\u63a5\u53cd\u8f6c\u6307\u9488\u7684\u64cd\u4f5c&#xff0c;\u6211\u4eec\u8fd8\u6ca1\u6709\u771f\u6b63\u610f\u4e49\u4e0a\u7684\u4ece\u5934\u5f80\u540e\u53bb\u8fdb\u884c\u5c1d\u8bd5\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191734-697e554e044d8.png\" \/><\/p>\n<p>\u8ba9\u6211\u4eec\u56de\u5230\u8fd9\u5f20\u56fe&#xff0c;\u5c1d\u8bd5\u76f4\u63a5\u8f6c\u6362\u770b\u770b\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191734-697e554e17e8a.png\" \/><\/p>\n<p>\u4e8c\u53f7\u8282\u70b9\u4ee5\u53ca\u4e4b\u540e\u7684\u8282\u70b9\u5168\u90e8\u4e22\u5931&#xff0c;\u6211\u4eec\u5148\u7528tmp&#xff08;temp&#xff09;\u6307\u9488\u4fdd\u62a4\u8d77\u6765\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260131191734-697e554e2479d.png\" \/><\/p>\n<p>\u8fd9\u6837\u4e00\u6765&#xff0c;\u6838\u5fc3\u95ee\u9898\u5c31\u5168\u90e8\u66b4\u9732\u65e0\u9057\u3002\u7b2c\u4e00&#xff0c;\u4e8c\u8282\u70b9\u7684next\u80fd\u901a\u8fc7tmp-&gt;next\u64cd\u63a7&#xff0c;\u4f46\u662f\u627e\u5230\u4e00\u8282\u70b9\u4f9d\u8d56\u5934\u8282\u70b9&#xff0c;\u5982\u679c\u662f\u5728\u4e2d\u95f4\u8282\u70b9&#xff0c;\u90a3\u4e48\u4e3a\u4e86\u627e\u524d\u7f6e\u8282\u70b9\u5c31\u5fc5\u987b\u518d\u6b21\u904d\u5386\u3002\u6240\u4ee5\u5fc5\u987b\u518d\u52a0\u5165prev\u6307\u9488\u6765\u4fdd\u7559\u524d\u7f6e\u8282\u70b9\u7684\u4f4d\u7f6e\u4fe1\u606f\u3002\u4f46\u6b64\u65f6tmp-&gt;next\u4ecd\u7136\u672a\u88ab\u201c\u89e3\u653e\u201d\u3002\u6309\u7167\u6211\u4eec\u4e4b\u524d\u7684\u89c2\u70b9&#xff0c;\u5fc5\u987b\u8fd8\u6709\u4e2a\u6307\u9488\u5206\u62c5tmp\u7684\u91cd\u4efb\u3002\u7d22\u6027\u6211\u4eec\u5c31\u5206\u522b\u7ed9\u4ed6\u4eec\u547d\u540d\u4e3acurr&#xff08;current&#xff09;\u548cnext\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01c5eph0iyhcb.gif\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u603b\u7b97\u53ef\u4ee5\u6beb\u65e0\u5361\u987f\u7684\u6d41\u7545\u8fdb\u884c\u53cd\u8f6c\u64cd\u4f5c\u4e86&#xff0c;\u4ece\u52a8\u753b\u6548\u679c\u6765\u770b&#xff0c;\u4f3c\u4e4e\u53eb\u505a\u4e09\u6307\u9488\u8fed\u4ee3\u6cd5\u66f4\u52a0\u5408\u7406\u3002\u7684\u786e\u5f88\u591a\u4eba\u4f1a\u56e0\u4e3a\u76f4\u89c2\u800c\u53eb\u505a\u4e09\u6307\u9488\u8fed\u4ee3\u6cd5&#xff0c;\u4f46\u5b9e\u9645\u4e0a\u6838\u5fc3\u6307\u9488\u53ea\u6709prev\u548ccurr\u4e24\u4e2a\u540c\u901f\u6307\u9488\u957f\u671f\u5728\u573a\u3002next\u867d\u7136\u5728\u52a8\u753b\u4e2d\u548ccurr\u6346\u7ed1\u3002\u4f46\u5177\u4f53\u843d\u5730\u65f6&#xff0c;next\u53ea\u662f\u4e00\u4e2a\u4e34\u65f6\u53d8\u91cf\u3002\u6240\u4ee5\u53cc\u6307\u9488\u6307\u7684\u662fcurr\u548cprev&#xff0c;\u8fd9\u70b9\u5207\u52ff\u6df7\u6dc6\u3002\u6211\u76f8\u4fe1\u7ecf\u8fc7\u4e4b\u524d\u7684\u51e0\u756a\u63a8\u6f14\u3002\u8fd9\u4e2a\u4ee3\u7801\u7684\u843d\u5730\u5bf9\u4f60\u6765\u8bf4\u5df2\u7ecf\u662f\u5c0f\u83dc\u4e00\u789f\u4e86\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* reverseList(struct ListNode* head){<br \/>\n    ListNode* curr &#061; head;\/\/\u521d\u59cb\u6307\u5411\u9996\u5143\u8282\u70b9<br \/>\n    ListNode* prev &#061; NULL;\/\/\u521d\u59cb&#034;\u6307\u5411&#034;NULL<br \/>\n    while(curr){\/\/curr\u4e3aNULL\u5c31\u7ed3\u675f&#xff0c;\u76f8\u540c\u901f\u5ea6&#xff0c;\u5728prev\u524d\u9762&#xff0c;\u4e0d\u4f1a\u4e22\u5931\u94fe\u8868<br \/>\n        ListNode* next &#061; curr-&gt;next;\/\/\u4e34\u65f6\u4fdd\u62a4\u540e\u7eed\u7684\u8282\u70b9<br \/>\n        curr-&gt;next &#061; prev;\/\/\u5c06prev\u89e3\u653e\u51fa\u6765<br \/>\n        prev &#061; curr;\/\/\u540c\u7406<br \/>\n        curr &#061; next;\/\/\u6ce8\u610f\u4e0d\u8981\u4f7f\u7528curr-&gt;next,\u5df2\u7ecf\u88ab\u6211\u4eec\u4fee\u6539<br \/>\n    }<br \/>\n    return prev;<br \/>\n} <\/p>\n<\/p>\n<hr \/>\n<h4>2.\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868-\u7b80\u5355<\/h4>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01gdu5lwf4nlg.png\" \/><\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01ynvfvpyhomk.png\" \/><\/p>\n<p>\u4f5c\u7b54\u63a5\u53e3&#xff1a;<\/p>\n<p>\/**<br \/>\n * Definition for singly-linked list.<br \/>\n * struct ListNode {<br \/>\n *     int val;<br \/>\n *     struct ListNode *next;<br \/>\n * };<br \/>\n *\/<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    \/\/\u6b64\u5904\u586b\u5199\u4ee3\u7801<br \/>\n} <\/p>\n<hr \/>\n<p>2.1 \u9898\u76ee\u5206\u6790<\/p>\n<p>\u7b2c\u4e00\u53cd\u5e94&#xff1a;\u3010\u53cc\u6307\u9488\u3011 &#043; \u3010\u865a\u62df\u5934\u8282\u70b9\u3011 \u53ef\u4ee5\u79d2\u6740<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    if(!list1) return list2;<br \/>\n    if(!list2) return list1;<\/p>\n<p>    ListNode dummy;<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(list1 &amp;&amp; list2){<br \/>\n         if(list1-&gt;val &lt; list2-&gt;val){<br \/>\n            prev-&gt;next &#061; list1;<br \/>\n            list1 &#061; list1-&gt;next;<br \/>\n         }else{<br \/>\n            prev-&gt;next &#061; list2;<br \/>\n            list2 &#061; list2-&gt;next;<br \/>\n         }<br \/>\n         prev &#061; prev-&gt;next;<br \/>\n    }<br \/>\n    prev-&gt;next &#061; list1? list1 : list2;<br \/>\n    return dummy.next;<br \/>\n} <\/p>\n<p>\u8fd8\u5b58\u5728\u9012\u5f52\u5b9e\u73b0\u7684\u65b9\u5f0f&#xff0c;\u4f46\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO(n&#043;m),\u8fed\u4ee3\u6cd5\u4ecd\u662f\u9996\u9009\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01nxyf5wkc5wc.gif\" \/><\/p>\n<hr \/>\n<p>2.2 \u601d\u8def\u63a8\u5bfc<\/p>\n<p>2.2.1 \u8fed\u4ee3\u6cd5&#xff08;\u4e3b\u94fe\u5b9e\u73b0&#xff09;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01h4htusp4frh.png\" \/><\/p>\n<p>\u524d\u9762\u4e4b\u6240\u4ee5\u94fa\u57ab\u90a3\u4e48\u591a&#xff0c;\u4e3b\u8981\u662f\u56e0\u4e3a\u62c6\u89e3\u6211\u4eec\u5207\u5165\u95ee\u9898\u7684\u8fa9\u8bc1\u601d\u8003\u65b9\u6cd5&#xff0c;\u63a5\u4e0b\u6765\u6211\u4eec\u5c31\u4e0d\u518d\u5634\u788e&#xff0c;\u5f00\u59cb\u76f4\u63a5\u8fd0\u7528\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01t3jadujv02e.gif\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7ecf\u6b64\u4e00\u5f79&#xff0c;\u6211\u4eec\u610f\u8bc6\u5230\u4ecd\u7136\u662f\u4e00\u4e2a\u4e32\u73e0\u5b50\u6e38\u620f\u3002\u53ea\u4e0d\u8fc7\u5728\u5176\u4e2d\u52a0\u5165\u4e86\u6bd4\u5927\u5c0f\u7684\u8981\u7d20\u3002\u6bd4\u5927\u5c0f\u9700\u8981\u4e24\u4e2a\u5bf9\u8c61\u624d\u80fd\u8fdb\u884c\u3002\u4e24\u4e2a\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u94fe\u8868\u5408\u6210\u65b0\u7684\u6709\u5e8f\u94fe\u8868\u65f6&#xff0c;\u6211\u4eec\u53ef\u4ee5\u5148\u4ece\u4ed6\u4eec\u7684\u6700\u503c\u8fdb\u884c\u6bd4\u8f83&#xff0c;\u6700\u503c\u548c\u6700\u503c\u4e4b\u95f4\u624d\u80fd\u6bd4\u51fa\u771f\u6b63\u7684\u6700\u503c\u51fa\u6765\u3002\u800c\u6bd4\u8f83\u7684\u7ed3\u679c\u53ea\u6709\u4e09\u79cd\u60c5\u51b5&#xff1a;\u5c0f\u4e8e\u3001\u7b49\u4e8e\u3001\u5927\u4e8e\u3002\u5bf9\u4e8e\u6392\u5e8f\u800c\u8a00&#xff0c;\u7b49\u4e8e\u7684\u60c5\u51b5\u4e24\u4e2a\u5bf9\u8c61\u7684\u5148\u540e\u5dee\u5f02\u88ab\u4ed6\u4eec\u7684\u540c\u8d28\u6027\u6d88\u89e3&#xff0c;\u5373\u4ecd\u7136\u5b58\u5728\u5148\u548c\u540e&#xff0c;\u6bd4\u5982\u56fe\u4e2d\u5c31\u6709\u989c\u8272\u7684\u5dee\u522b\u3002\u4f46\u662f\u5bf9\u4e8e\u672c\u9898\u800c\u8a00\u6ca1\u6709\u533a\u522b\u3002\u56e0\u6b64\u6211\u4eec\u9700\u8981\u8003\u8651\u7684\u5c31\u53ea\u6709\u5c0f\u4e8e\u3001\u5927\u4e8e\u7684\u4e8c\u5206\u60c5\u51b5\u4e86\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5177\u4f53\u600e\u4e48\u5b9e\u73b0\u5374\u8ba9\u6211\u4eec\u611f\u5230\u8ff7\u832b\u3002\u5982\u679c\u4f60\u7684\u6570\u5b66\u601d\u7ef4\u4e0d\u9519&#xff0c;\u80fd\u7acb\u9a6c\u610f\u8bc6\u5230\u5bf9\u79f0\u6027&#xff0c;\u4e5f\u5c31\u53ea\u7528\u5199\u5c0f\u4e8e\u6216\u5927\u4e8e\u7684\u5176\u4e2d\u4e00\u4efd\u903b\u8f91&#xff0c;\u53e6\u4e00\u4efd\u91c7\u7528\u3010\u5bf9\u79f0\u6362\u5143\u3011\u5c31\u80fd\u81ea\u7136\u5f62\u6210\u5b8c\u7f8e\u7684\u4ee3\u7801\u5b9e\u73b0&#xff0c;list1\u957f\u8fd8\u662flist2\u957f&#xff1f;\u8c01\u7684\u8282\u70b9\u63d2\u5165\u5230\u8c01\u7684\u94fe\u8868\u5f53\u4e2d&#xff1f;\u8fd9\u4e9b\u95ee\u9898\u7edf\u7edf\u6ca1\u6709\u610f\u4e49&#xff0c;\u56e0\u4e3a\u90fd\u662f\u4e00\u6837\u7684\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7684\u786e\u5bf9\u79f0\u601d\u60f3\u80fd\u591f\u7ed5\u5f00\u5f2f\u8def&#xff0c;\u76f4\u5954\u7b54\u6848\u3002\u4f46\u6211\u4eec\u8fd8\u662f\u4ece\u666e\u904d\u76f4\u89c9\u7684\u89d2\u5ea6\u6765\u628a\u8def\u8d70\u987a&#xff0c;\u5047\u8bbe\u6211\u4eec\u5b8c\u5168\u6ca1\u6709\u601d\u8def\u7684\u60c5\u5883&#xff0c;\u4e3a\u6211\u4eec\u7684\u601d\u7ef4\u4e0a\u597d\u5e95\u5c42\u4fdd\u9669\u3002\u65e2\u7136\u6211\u4eec\u4e00\u5f00\u59cb\u4e0d\u80fd\u610f\u8bc6\u5230\u5bf9\u79f0\u7684\u505a\u6cd5&#xff0c;\u6211\u4eec\u5fc5\u987b\u5148\u627e\u5230\u4e00\u4e2a\u601d\u8003\u951a\u70b9\u3002\u90a3\u6211\u968f\u4fbf\u627e\u4e00\u4e2a\u4f5c\u4e3a\u4e3b\u94fe\u603b\u884c\u5427\u3002list1\u987a\u773c&#xff0c;\u5c31\u4ee5\u5b83\u4e3a\u4e3b\u94fe\u3002 \u627e\u5230\u601d\u8003\u951a\u70b9\u8fc7\u540e&#xff0c;\u5982\u679c\u53ea\u662f\u987a\u7740\u601d\u8def\u5199\u4e0b\u53bb&#xff0c;\u5fc5\u7136\u4f1a\u5199\u51fa\u5927\u91cf\u5197\u4f59\u4ee3\u7801\u3002\u8fd9\u662f\u56e0\u4e3a\u539f\u672c\u81ea\u7136\u7684\u903b\u8f91\u4e3a\u4e86\u7ed9\u6211\u4eec\u7684\u76f4\u89c9\u670d\u52a1\u800c\u7ed5\u4e86\u5927\u91cf\u5f2f\u8def&#xff0c;\u8fd9\u70b9\u5728\u6211\u4eec\u63a8\u6f14\u53cd\u8f6c\u94fe\u8868\u7684\u9012\u5f52\u5b9e\u73b0\u65f6\u5c31\u6709\u6d89\u53ca&#xff0c;\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u987a\u7740\u903b\u8f91\u628a\u6211\u4eec\u81ea\u521b\u7684\u3010\u4e3b\u94fe\u6cd5\u3011\u63a8\u5bfc\u4e0b\u53bb&#xff0c;\u770b\u770b\u662f\u4e0d\u662f\u5b58\u5728\u5927\u91cf\u201d\u903b\u8f91\u5197\u4f59\u201c\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-012mt1enh3asw.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u63d2\u5165\u5230\u6bd4\u8f83\u6570\u7684\u524d\u9762\u8fd8\u662f\u540e\u9762\u5462&#xff1f;\u4ea7\u751f\u8fd9\u4e2a\u7591\u95ee\u5927\u6982\u7387\u662f\u56e0\u4e3a\u5c06\u7b2c\u4e00\u4e2a\u5f85\u63d2\u5165\u8282\u70b9\u63d2\u5165\u4e3b\u94fe\u7684\u9996\u5143\u8282\u70b9\u65f6&#xff0c;\u51fa\u73b0\u4e86\u4e3b\u94fe\u6613\u4f4d\u7684\u60c5\u51b5&#xff0c;\u4e5f\u5c31\u662fhead\u4f1a\u8ddf\u7740\u52a8\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5982\u679c\u653e\u5728\u540e\u9762&#xff0c;\u5982\u679c\u539f\u672c\u4e3b\u94fe\u662f\u8fde\u7eed\u76f8\u540c\u7684\u503c\u7684\u4f8b\u59821\u30011&#xff0c;\u6211\u4eec\u57281\u4e4b\u540e\u63d2\u5165\u4e00\u4e2a\u66f4\u5927\u7684\u503c&#xff0c;1\u30012\u30011&#xff0c;\u663e\u7136\u4e0d\u884c&#xff0c;\u800c\u4e14\u5982\u679c\u526f\u94fe\u6700\u5c0f\u503c\u6bd4\u4e3b\u94fe\u6700\u5c0f\u503c\u5c0f\u5462&#xff1f;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01luniipvr1g5.gif\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u56de\u987e\u524d\u9762&#xff0c;\u6211\u4eec\u5f88\u5feb\u60f3\u5230\u4e86\u7528\u54d1\u5143\u8282\u70b9\u6765\u89e3\u51b3&#xff0c;\u540c\u65f6\u8fd8\u9700prev\u63a5\u5e94\u63d2\u5165\u64cd\u4f5c&#xff0c;\u52a8\u56fe\u53ea\u8003\u8651\u4e86\u4e24\u8868\u7b49\u957f\u7684\u72b6\u51b5&#xff0c;\u6240\u4ee5\u8fd8\u9700\u8865\u4e0a\u5faa\u73af\u540e\u7684\u5904\u7406&#xff0c;\u51fa\u5faa\u73af\u53ea\u53ef\u80fd\u6709\u4e24\u79cd\u60c5\u51b5&#xff0c;\u4e00\u662flist1 &#061; NULL&#xff0c;\u4e8c\u662flist2 &#061; NULL&#xff0c;\u4e0d\u4f1a\u51fa\u73b0\u540c\u65f6\u4e3a\u7a7a\u6307\u9488\u7684\u60c5\u51b5\u3002list1 &#061; NULL\u8bf4\u660elist2\u5269\u4e0b\u7684\u8282\u70b9\u503c\u90fd\u5927\u4e8elist1\u7684\u6700\u5927\u503c&#xff0c;list2 &#061; NULL\u5219\u8bf4\u660e\u94fe\u8868\u5df2\u7ecf\u5b8c\u6210\u3002\u6211\u4eec\u53ef\u4ee5\u7528\u4e09\u76ee\u64cd\u4f5c\u7b26\u7b80\u6d01\u8868\u793a\u3002<\/p>\n<p>\u76ee\u524d\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    if(!list1) return list2;\/\/list1\u4e0d\u5b58\u5728\u65f6&#xff0c;\u65e0\u9700merge&#xff0c;\u8fd4\u56delist2<br \/>\n    if(!list2) return list1;\/\/\u540c\u7406<br \/>\n    ListNode dummy;<br \/>\n    dummy.next &#061; list1;\/\/\u4ee5list1\u4e3a\u4e3b\u94fe<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(list1 &amp;&amp; list2){<br \/>\n        if(list1-&gt;val &gt;&#061; list2-&gt;val){<br \/>\n            prev-&gt;next &#061; list2;<br \/>\n            list2 &#061; list2-&gt;next;<br \/>\n            prev-&gt;next-&gt;next &#061; list1;<br \/>\n            prev &#061; prev-&gt;next;\/\/\u6ce8\u610f&#xff0c;\u8282\u70b9\u63d2\u5165\u540e&#xff0c;prev\u548clist1\u9694\u5f00\u4e86\u4e00\u4e2a\u8282\u70b9<br \/>\n        }else{<br \/>\n            prev &#061; prev-&gt;next;<br \/>\n            list1 &#061; list1-&gt;next;<br \/>\n        }<br \/>\n    }<br \/>\n    prev-&gt;next &#061; list1? list1 : list2;\/\/\u5982\u679clist1\u8fd8\u5b58\u5728&#xff0c;\u8bf4\u660eprev\u6307\u5411\u7684\u4e0d\u662f\u5c3e\u8282\u70b9&#xff0c;\u5e76\u4e14\u5df2\u7ecf\u5168\u90e8\u63d2\u5165<br \/>\n    \/\/\u4e0d\u9700\u8981\u989d\u5916\u8c03\u6574&#xff0c;\u4ecd\u7136\u4e3alist1\u3002\u5982\u679c\u4e0d\u5b58\u5728&#xff0c;\u5c31\u63a5\u4e0alist2\u3002<br \/>\n    return dummy.next;<br \/>\n} <\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01u4tcwwjkrfk.gif\" \/><\/p>\n<hr \/>\n<p>2.2.2 \u8fed\u4ee3\u6cd5&#xff08;\u5bf9\u79f0\u5b9e\u73b0&#xff09;<\/p>\n<p>\u8fd9\u6837&#xff0c;\u6211\u4eec\u8fd8\u662f\u6bd4\u8f83\u7b80\u6d01\u5730\u5b8c\u6210\u4e86\u8fd9\u9053\u9898\u3002\u4f46\u4ecd\u7136\u5b58\u5728\u903b\u8f91\u4e0a\u7684\u5197\u4f59&#xff1a;prev-&gt;next-&gt;next &#061; list1&#xff1b;\u4ed6\u7684\u4f5c\u7528\u5728\u4e8e\u6bcf\u6b21\u5faa\u73af\u90fd\u7ef4\u62a4\u539flist1\u7684\u94fe\u5f0f\u7ed3\u6784&#xff0c;\u5982\u4e0b\u56fe\u6240\u793a\u3002\u8fd9\u662f\u56e0\u4e3a\u6211\u4eec\u601d\u8def\u88ab\u951a\u5b9a\u5728\u4e86\u4e3b\u94fe\u4e0a&#xff0c;\u6211\u4eec\u201d\u5bb3\u6015\u201c\u4e3b\u94fe\u7684\u5730\u4f4d\u6613\u4f4d&#xff0c;\u56e0\u6b64\u4e3a\u4e86\u7ef4\u62a4\u4e3b\u94fe\u7684\u6b63\u5f53\u6027&#xff0c;\u65e0\u610f\u8bc6\u5730\u9020\u6210\u4e86\u4ee3\u7801\u7684\u5197\u4f59\u3002\u901a\u8fc7\u52a8\u753b\u4e0d\u96be\u6ce8\u610f\u5230&#xff0c;\u5373\u4f7f\u6211\u4eec\u4e0d\u8d70\u8fd9\u4e00\u6b65&#xff0c;\u6211\u4eec\u7684\u4e0b\u4e00\u6b65\u4ecd\u7136\u4f1a\u6bd4\u8f83list1-&gt;val\u4e0elist2-&gt;val\u7684\u5927\u5c0f&#xff0c;\u8fd9\u65f6\u5019\u5c31\u51b3\u5b9a\u4e86\u6211\u4eec\u6307\u5411\u4f55\u5904\u3002prev-&gt;next-&gt;next &#061; list1&#xff1b;\u76f8\u5f53\u4e8e\u63d0\u524d\u89c4\u5212\u4e86\u3001\u5185\u5b9a\u4e86\u4e3b\u94fe\u3002\u4f46\u5b9e\u9645\u4e0a\u6211\u4eec\u8981\u7684\u4ece\u6765\u4e0d\u662f\u4e00\u4e2a\u4e0d\u53d8\u7684\u4e3b\u94fe\u5730\u4f4d&#xff0c;\u800c\u662f\u6700\u7ec8\u5f97\u5230\u5408\u5e76\u540e\u7684\u6709\u5e8f\u94fe\u8868\u3002\u4e3b\u94fe\u53ef\u4ee5\u5728\u8fc7\u7a0b\u4e2d\u88ab\u4e0d\u65ad\u5207\u6362\u3002\u56e0\u6b64&#xff0c;dummy.next &#061; list1;\u7684\u521d\u59cb\u5316\u4e5f\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01qxtxcrnnn3z.gif\" \/><\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    if(!list1 || !list2) return list1? list1 : list2;\/\/list1\u4e0d\u5b58\u5728\u65f6&#xff0c;\u65e0\u9700merge&#xff0c;\u8fd4\u56delist2<br \/>\n    ListNode dummy;<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(list1 &amp;&amp; list2){<br \/>\n        if(list1-&gt;val &gt;&#061; list2-&gt;val){<br \/>\n            prev-&gt;next &#061; list2;<br \/>\n            list2 &#061; list2-&gt;next;<br \/>\n        }else{<br \/>\n            prev-&gt;next &#061; list1;<br \/>\n            list1 &#061; list1-&gt;next;<br \/>\n        }<br \/>\n        prev &#061; prev-&gt;next;<br \/>\n    }<br \/>\n    prev-&gt;next &#061; list1? list1 : list2;\/\/\u8c01\u8fd8\u6ca1\u7a7a\u5c31\u6307\u5411\u8c01<br \/>\n    return dummy.next;<br \/>\n} <\/p>\n<p>\u8fd9\u6837\u5c31\u5f97\u5230\u4e86\u5b8c\u7f8e\u7684\u5408\u5e76\u903b\u8f91&#xff0c;\u5e76\u4e14\u4e0d\u7528\u6ce8\u610fprev\u88ab\u9694\u5f00\u7684\u7279\u6b8a\u60c5\u51b5&#xff0c;\u903b\u8f91\u6e05\u6670\u7edf\u4e00&#xff0c;\u4ee3\u7801\u7b80\u6d01\u597d\u5199\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01itgoewkt3sp.gif\" \/><\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a; O&#xff08;n &#043; m&#xff09;\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O&#xff08;1&#xff09;<\/p>\n<hr \/>\n<p>2.2.3 \u9012\u5f52\u6cd5<\/p>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u76f4\u89c2\u611f\u53d7\u5230&#xff0c;\u6574\u4e2a\u8fc7\u7a0b\u66f4\u50cf\u662f\u5728\u201d\u4e32\u73e0\u5b50\u201c\u3002\u6bcf\u6b21\u7684\u6838\u5fc3\u6b65\u9aa4\u5176\u5b9e\u53ea\u6709\u4e00\u4e2a\u2014\u2014\u8c01\u5c0f\u5148\u6307\u5411\u8c01\u3002\u627f\u63a5\u53cd\u8f6c\u94fe\u8868\u7684\u9012\u5f52\u601d\u8def&#xff0c;\u6211\u4eec\u4e0d\u6b62\u53ef\u4ee5\u4ece\u5934\u5230\u5c3e&#xff0c;\u8fd8\u53ef\u4ee5\u4ece\u5c3e\u56de\u5934\u3002\u4f9d\u9760\u9012\u5f52\u4ea7\u751f\u7684\u6808\u5e27\u9690\u6027\u5730\u201d\u8bb0\u5fc6\u201c\u4e86\u6bcf\u4e2a\u8282\u70b9\u7684\u6307\u9488\u3002\u4f7f\u5176\u56de\u6eaf\u6027\u5730\u4ece\u540e\u5f80\u524d\u7a7f&#xff0c;\u4ee3\u7801\u5b9e\u73b0\u5982\u4e0b\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    \/\/ \u8fb9\u754c\u6761\u4ef6<br \/>\n    if(!list1||!list2) return list1? list1 : list2;<br \/>\n    \/\/ \u9012\u5f52\u9009\u62e9\u8f83\u5c0f\u7684\u8282\u70b9&#xff0c;\u62fc\u63a5\u540e\u7eed\u7ed3\u679c<br \/>\n    if (list1-&gt;val &lt;&#061; list2-&gt;val) {<br \/>\n        list1-&gt;next &#061; mergeTwoLists(list1-&gt;next, list2);<br \/>\n        return list1;<br \/>\n    } else {<br \/>\n        list2-&gt;next &#061; mergeTwoLists(list1, list2-&gt;next);<br \/>\n        return list2;<br \/>\n    }<br \/>\n} <\/p>\n<p>\u5982\u6b64\u4e00\u6765\u5c31\u628a\u521d\u59cb\u7684\u5224\u7a7a\u903b\u8f91\u548c\u672b\u5c3e\u7684\u5224\u5b58\u903b\u8f91\u5b8c\u6210\u4e86\u7edf\u4e00&#xff0c;\u903b\u8f91\u66f4\u52a0\u6e05\u6670\u4f18\u7f8e&#xff0c;\u4f46\u662f\u4ecd\u7136\u5b58\u5728\u7a7a\u95f4\u5f00\u9500\u4e0a\u7684\u786c\u4f24\u3002<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6O&#xff08;n &#043; m&#xff09;\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(max(n , m)) \u6700\u4f18\u89e3\u4ecd\u7136\u662f\u8fed\u4ee3\u6cd5<\/p>\n<\/p>\n<hr \/>\n<h4>3.\u5408\u5e76K\u4e2a\u5347\u5e8f\u94fe\u8868 &#8211; \u4e2d\u7b49<\/h4>\n<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-015mp3s45qyqp.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01r3k2bn41w1g.png\" \/><\/p>\n<p>\u4f5c\u7b54\u63a5\u53e3&#xff1a;<\/p>\n<p>\/**<br \/>\n * Definition for singly-linked list.<br \/>\n * struct ListNode {<br \/>\n *     int val;<br \/>\n *     struct ListNode *next;<br \/>\n * };<br \/>\n *\/<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    \/\/\u6b64\u5904\u586b\u5199\u4ee3\u7801<br \/>\n} <\/p>\n<hr \/>\n<p>3.1\u9898\u76ee\u5206\u6790<\/p>\n<p>\u8fd9\u9053\u9898LeetCode\u5b98\u65b9\u6574\u5408\u65f6\u653e\u5728\u4e86\u56f0\u96be\u9898\u4e2d&#xff0c;\u4e5f\u662f\u94fe\u8868\u4e2d\u5c11\u6570\u7684\u56f0\u96be\u9898&#xff0c;\u4f46\u5176\u5b9e\u9645\u5c31\u7b97\u662f\u6700\u4f18\u89e3\u5206\u652f\u5408\u5e76\u6cd5\u53ea\u80fd\u5230\u4e2d\u7b49\u96be\u5ea6&#xff0c;\u53ea\u662f\u66b4\u529bAC\u4ecd\u7136\u5c5e\u4e8e\u7b80\u5355\u96be\u5ea6\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0\u65f6\u95f4\u590d\u6742\u5ea6 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7a7a\u95f4\u590d\u6742\u5ea6<\/p>\n<p>\u66b4\u529b\u9012\u5f52 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(k*n)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 O(k)<\/p>\n<p>\u66b4\u529b\u8fed\u4ee3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(k*n) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(1)<\/p>\n<p>\u4f18\u5148\u961f\u5217 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(n*log k) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(k) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u52a8\u6001k\u65f6\u6700\u4f18\u89e3<\/p>\n<p>\u5206\u6cbb\u5408\u5e76&#xff08;\u9012\u5f52\u5f0f&#xff09; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(n*log k) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(log k)<\/p>\n<p>\u5206\u6cbb\u5408\u5e76&#xff08;\u8fed\u4ee3\u5f0f&#xff09;\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0O(n*log k)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0O(1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u9759\u6001k\u65f6\u6700\u4f18\u89e3<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7b2c\u4e00\u53cd\u5e94\u5e94\u5f53\u662f\u3010\u5206\u6cbb\u6cd5\u3011\u548c\u3010\u4f18\u5148\u961f\u5217\u3011&#xff0c;\u4e24\u79cd\u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3aO(N * log K)&#xff08;N\u4e3a\u6240\u6709\u548c\u8282\u70b9\u603b\u6570&#xff0c;K\u4e3a\u94fe\u8868\u6570\u91cf&#xff09;\u7a7a\u95f4\u590d\u6742\u5ea6\u4e0a\u5206\u6cbb\u4e3aO(log K),\u4f18\u5148\u961f\u5217\u4e3aO(K)&#xff0c;\u4f46\u7531\u4e8eC\u8bed\u8a00\u5b9e\u73b0\u5c0f\u9876\u5806\u9700\u8981\u53e6\u5f00\u7bc7\u5e45&#xff0c;\u4e00\u822c\u662f\u4f7f\u7528C&#043;&#043;\u81ea\u5e26\u7684STL\u5e93\u89e3\u51b3&#xff0c;\u800c\u4e14\u672c\u6587\u91cd\u70b9\u8ba8\u8bba\u94fe\u8868\u65b9\u6cd5&#xff0c;\u4ee5\u53ca\u4ee3\u7801\u7b80\u6d01\u6027\u7b49\u8003\u8651\u4e0b&#xff0c;\u9996\u9009\u3010\u5206\u6cbb\u6cd5\u3011\u3002\u6b64\u5904\u5c55\u793a\u7a7a\u95f4\u590d\u6742\u5ea6 O(1) \u7684\u8fed\u4ee3\u5f0f\u5206\u6cbb\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeTwoLists(struct ListNode* list1, struct ListNode* list2) {<br \/>\n    if(!list1) return list2;<br \/>\n    if(!list2) return list1;<\/p>\n<p>    ListNode dummy;<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(list1 &amp;&amp; list2){<br \/>\n         if(list1-&gt;val &lt; list2-&gt;val){<br \/>\n            prev-&gt;next &#061; list1;<br \/>\n            list1 &#061; list1-&gt;next;<br \/>\n         }else{<br \/>\n            prev-&gt;next &#061; list2;<br \/>\n            list2 &#061; list2-&gt;next;<br \/>\n         }<br \/>\n         prev &#061; prev-&gt;next;<br \/>\n    }<br \/>\n    prev-&gt;next &#061; list1? list1 : list2;<br \/>\n    return dummy.next;<br \/>\n}<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if(!listsSize) return NULL;<br \/>\n    while(listsSize &gt; 1){<br \/>\n        int mergeSize &#061; 0;<br \/>\n        for(int i &#061; 0; i &lt; listsSize &#8211; (listsSize % 2); i &#043;&#061; 2){<br \/>\n            lists[mergeSize&#043;&#043;] &#061; mergeTwoLists(lists[i],lists[i &#043; 1]);<br \/>\n        }<br \/>\n        if(listsSize % 2 !&#061; 0){<br \/>\n            lists[mergeSize&#043;&#043;] &#061; lists[listsSize &#8211; 1];<br \/>\n        }<br \/>\n        listsSize &#061; mergeSize;<br \/>\n    }<br \/>\n    return lists[0];<br \/>\n} <\/p>\n<hr \/>\n<p>3.2 \u601d\u8def\u63a8\u5bfc<\/p>\n<p>3.2.1 \u201d\u66b4\u529b\u4e32\u73e0\u6cd5\u201c<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7ecf\u8fc7\u5148\u524d\u601d\u60f3\u7684\u5347\u534e&#xff0c;\u62ff\u5230\u8fd9\u9053\u9898\u65f6&#xff0c;\u4f60\u81f3\u5c11\u4e0d\u4f1a\u5b8c\u5168\u6ca1\u601d\u8def&#xff0c;\u81f3\u5c11\u4f60\u80fd\u60f3\u5230\u76f4\u63a5\u6216\u95f4\u63a5\u5730\u5229\u7528\u521a\u624d\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868\u7684\u903b\u8f91\u3002\u4f46\u662f&#xff0c;\u6700\u5c0f\u503c\u7684\u6bd4\u8f83\u4e0d\u518d\u662f\u7b80\u5355\u7684\u4e8c\u5206\u903b\u8f91&#xff0c;\u663e\u7136\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u65b0\u53d8\u91cf\u6765\u4fdd\u5b58\u5f53\u524d\u6bd4\u8f83\u4e2d\u7684\u6700\u5c0f\u503c\u3002\u4e0d\u59a8\u53eb\u505acurrMin\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u53e6\u4e00\u4e2a\u95ee\u9898\u662f&#xff0c;\u94fe\u8868\u7684\u5224\u7a7a\u4e5f\u4e0d\u518d\u8f7b\u677e&#xff0c;\u6211\u4eec\u5f88\u5bb9\u6613\u60f3\u5230\u5faa\u73af\u5185\u52a0\u5165\u5224\u7a7a\u903b\u8f91\u76f4\u63a5\u8df3\u8fc7\u7a7a\u94fe\u8868\u3002\u5faa\u73af\u7684\u7ec8\u6b62\u903b\u8f91\u5462&#xff1f;\u6211\u4eec\u6ca1\u6cd5\u50cf\u4e4b\u524d\u4e00\u6837\u5c06\u6240\u6709\u94fe\u8868\u7684\u5934\u6307\u9488\u5217\u4e3e\u51fa\u6765\u3002\u8fd9\u6837\u7c7b\u4f3c\u7684\u60c5\u5883\u8ba9\u6211\u4eec\u5f88\u5bb9\u6613\u5730\u60f3\u5230\u9012\u5f52&#xff0c;\u4f46\u6211\u4eec\u53ef\u4ee5\u6682\u65f6\u4fdd\u7559\u8fd9\u4e2a\u60f3\u6cd5&#xff0c;\u5c31\u6211\u4eec\u5148\u524d\u7684\u7ecf\u9a8c&#xff0c;\u9012\u5f52\u5fc5\u7136\u5e26\u6765\u7a7a\u95f4\u4e0a\u7684\u5f00\u9500\u3002\u5148\u770b\u770b\u6709\u6ca1\u6709\u66f4\u597d\u7684\u66ff\u4ee3\u65b9\u6848\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6ce8\u610f\u5230&#xff0c;\u8fd9\u6b21\u9898\u76ee\u7ed9\u51fa\u4e86\u4e00\u4e2a\u65b0\u7684\u53d8\u91cf\u2014\u2014listSize\u3002\u4e5f\u5c31\u662f\u8bf4\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5224\u7a7a\u7684\u540c\u65f6\u51cf\u5c11listSize&#xff0c;\u5f53\u6570\u91cf\u51cf\u5c11\u81f30\u65f6\u7ed3\u675f\u5faa\u73af\u3002\u4f46\u6211\u4eec\u4e0d\u5e0c\u671b\u53c8\u6bcf\u6b21\u8df3\u8fc7\u65f6\u90fd\u51cf\u5c11listSize\u3002\u5982\u679c\u4f60\u60f3\u901a\u8fc7\u589e\u6dfb\u65b0\u7684\u6570\u7ec4\u6765\u5b58\u975e\u7a7a\u7684\u94fe\u8868&#xff0c;\u6709\u4e86\u521a\u624d\u5408\u5e76\u4e24\u4e2a\u94fe\u8868\u65f6\u7684\u601d\u8003\u7ecf\u9a8c&#xff0c;\u5e94\u8be5\u610f\u8bc6\u5230\u6211\u4eec\u501f\u52a9\u4e86listSize\u8fd9\u4e2a\u601d\u8003\u951a\u70b9&#xff0c;\u8fd9\u6837\u7684\u5ef6\u7eed\u601d\u8def\u5f88\u53ef\u80fd\u542b\u6709\u5197\u4f59\u903b\u8f91&#xff0c;\u4e5f\u5c31\u662f\u5185\u8574\u66f4\u672c\u8d28\u7684\u65b9\u6cd5\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u4e0d\u59a8\u601d\u8003\u8fd9\u6837\u505a\u7684\u5f0a\u7aef\u662f\u4ec0\u4e48&#xff0c;\u4e0d\u4ec5\u7a7a\u95f4\u590d\u6742\u5ea6\u63d0\u5347\u81f3O(k)&#xff0c;\u800c\u4e14\u4ee3\u7801\u4e5f\u4e0d\u591f\u7b80\u6d01\u4f18\u96c5\u3002\u7684\u786e&#xff0c;\u6211\u4eec\u4e0d\u5fc5\u9884\u8bbe\u6bcf\u4e2a\u7b97\u6cd5\u90fd\u662f\u7b80\u6d01\u4f18\u96c5\u7684&#xff0c;\u5728\u8003\u8bd5\u3001\u7ade\u8d5b\u3001\u9762\u8bd5\u65f6&#xff0c;\u6211\u4eec\u4e5f\u6ca1\u6709\u529f\u592b\u53bb\u505a\u5176\u4ed6\u7684\u5c1d\u8bd5&#xff0c;\u4f46\u5728\u5b66\u4e60\u9636\u6bb5&#xff0c;\u8fd9\u79cd\u5228\u6839\u95ee\u5e95\u7684\u601d\u8003\u5374\u6709\u52a9\u4e8e\u6211\u4eec\u5f62\u6210\u624e\u5b9e\u7684\u77e5\u8bc6\u7f51\u7edc&#xff0c;\u5bf9\u601d\u7ef4\u7684\u63d0\u5347\u540c\u6837\u5927\u6709\u88e8\u76ca&#xff0c;\u80fd\u4e3a\u6211\u4eec\u4ee5\u540e\u5feb\u901f\u4f5c\u7b54\u592f\u5b9e\u57fa\u7840\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u6ca1\u5fc5\u8981\u629b\u5f03\u73b0\u6210\u7684\u6570\u7ec4\u4e0d\u7528&#xff0c;\u4e0d\u5982\u5bf9\u9000\u51fa\u903b\u8f91\u6682\u65f6\u7559\u7a7a&#xff0c;\u6bd5\u7adf\u6211\u4eec\u5728\u672a\u904d\u5386\u4e4b\u524d\u662f\u4e0d\u77e5\u9053n\u7684\u4e5f\u5c31\u662f\u603b\u8282\u70b9\u4e2a\u6570\u7684\u3002\u5e72\u8106\u5148\u63d0\u70bc\u51fa\u6838\u5fc3\u6b65\u9aa4&#xff0c;\u7a0d\u540e\u518d\u6765\u8003\u8651\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5bf9\u4e8e\u4e32\u73e0\u5b50\u8fd9\u4ef6\u4e8b&#xff0c;\u6211\u4eec\u65e9\u5c31\u4e0d\u964c\u751f\u3002\u7b2c\u4e00\u6b65\u5c31\u662f\u4ecek\u7ec4\u94fe\u8868\u5404\u81ea\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u91cc\u4e2d\u627e\u51fa\u6700\u5c0f\u7684&#xff0c;\u7b2c\u4e8c\u6b65\u6307\u5411\u5b83&#xff0c;\u5bf9\u5e94list[i]\u524d\u8fdb\u3002\u6700\u66b4\u529b\u7684\u529e\u6cd5\u5c31\u662f\u76f4\u63a5\u8fed\u4ee3\u3002\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u5c31\u76f4\u63a5\u5bfc\u5411O(k*n)\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    ListNode dummy;<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(1){<br \/>\n        int curMin &#061; ?;\/\/\u5f85\u5b8c\u6210<br \/>\n        for(int i &#061; 0; i &lt; listsSize; &#043;&#043;i){<br \/>\n            if(!lists[i]) continue;<br \/>\n            if(lists[i]-&gt;val &lt; curMin){<br \/>\n                curMin &#061; lists[i]-&gt;val;<br \/>\n            }<br \/>\n        }<br \/>\n        prev-&gt;next &#061; lists[?];\/\/\u5f85\u5b8c\u6210<br \/>\n        prev &#061; prev-&gt;next;<br \/>\n        if(?) break;\/\/\u5f85\u5b8c\u6210<br \/>\n    }<br \/>\n    return dummy.next;<br \/>\n} <\/p>\n<p>\u5199\u5230\u8fd9\u91cc&#xff0c;\u6211\u4eec\u4e00\u5171\u9047\u5230\u4e86\u4e09\u4e2a\u95ee\u9898<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01.\u5faa\u73af\u9000\u51fa\u6761\u4ef6\u672a\u5b9a<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02.\u6700\u5c0f\u503c\u5982\u4f55\u521d\u59cb\u5316&#xff1f;<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03.\u6700\u5c0f\u503c\u5bf9\u5e94\u7684lists\u4e0b\u6807\u672a\u8bb0\u5f55<\/p>\n<p>\u6682\u65f6\u4e0d\u7ba11&#xff0c;\u4e0b\u8868\u6211\u4eec\u5f15\u5165minIdx\u89e3\u51b3\u3002<\/p>\n<p>\u540c\u65f6\u6ce8\u610f\u5230&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01uhen34gp4ne.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u53ef\u4ee5\u628acurMin\u521d\u59cb\u5316\u4e3a100000&#xff0c;\u5f53\u7136&#xff0c;\u8fd9\u6837\u53ea\u662f\u4e3a\u4e86\u505a\u9898&#xff0c;\u4f60\u4e5f\u53ef\u4ee5\u50cf\u8fd9\u6837\u9ebb\u70e6\u7684\u53bb\u968f\u4fbf\u627e\u4e2a\u975e\u7a7a\u503c\u6765\u521d\u59cb\u5316\u3002<\/p>\n<p> for(int i &#061; 0; i &lt; listsSize; &#043;&#043;i){<br \/>\n     if(!lists[i]) continue;<br \/>\n     curMin &#061; lists[i]-&gt;val;<br \/>\n     minIndex &#061; i;<br \/>\n     break;<br \/>\n } <\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8fd9\u663e\u7136\u6ca1\u6709\u5fc5\u8981\u3002\u5728\u521d\u59cb\u5316minIdx\u65f6\u6211\u4eec\u60f3\u5230&#xff0c;\u6211\u4eec\u6bcf\u6b21\u64cd\u4f5c\u90fd\u5fc5\u7136\u8981\u627e\u5230\u4e00\u4e2aminIdx\u7684\u503c&#xff0c;\u90a3\u4e48\u521d\u59cb\u5316minIdx\u4f3c\u4e4e\u6ca1\u6709\u610f\u4e49&#xff0c;\u4f46\u662f\u8fd9\u6837\u610f\u5473\u7740&#xff0c;\u5982\u679c\u6211\u4eec\u5c06minIdx\u521d\u59cb\u5316\u4e3a\u8d1f\u6570&#xff0c;\u90a3\u4e48\u6211\u4eec\u4e0d\u4e45\u53ef\u4ee5\u901a\u8fc7\u5224\u65ad\u5b83\u7684\u6b63\u8d1f\u6765\u5224\u65ad\u8fd8\u6709\u6ca1\u6709\u975e\u7a7a\u94fe\u8868\u4e86&#xff1f;\u8fd9\u6837&#xff0c;\u9000\u51fa\u903b\u8f91\u4e5f\u5c31\u88ab\u6211\u4eec\u987a\u5e26\u89e3\u51b3\u4e86\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if(listsSize &#061;&#061; 1) return lists[0];<br \/>\n    ListNode dummy;<br \/>\n    dummy.next &#061; NULL;<br \/>\n    ListNode* prev &#061; &amp;dummy;<br \/>\n    while(listsSize &gt; 0){<br \/>\n        int curMin &#061; 100000;<br \/>\n        int minIdx &#061; -1;<br \/>\n        for(int i &#061; 0; i &lt; listsSize; &#043;&#043;i){<br \/>\n            if(!lists[i]) continue;<br \/>\n            if(lists[i]-&gt;val &lt; curMin){<br \/>\n                curMin &#061; lists[i]-&gt;val;<br \/>\n                minIdx &#061; i;<br \/>\n            }<br \/>\n        }<br \/>\n        if(minIdx &#061;&#061; -1) break;<br \/>\n        prev-&gt;next &#061; lists[minIdx];<br \/>\n        lists[minIdx] &#061; lists[minIdx]-&gt;next;<br \/>\n        prev &#061; prev-&gt;next;<br \/>\n    }<br \/>\n    return dummy.next;<br \/>\n} <\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6O(n*k)&#xff0c;\u7a7a\u95f4\u590d\u6742\u5ea6O(1)<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01i5sh0sqz50j.png\" \/><\/p>\n<hr \/>\n<p>3.2.2 \u66b4\u529b\u8fed\u4ee3\u6cd5<\/p>\n<p>\u4e0d\u51fa\u6240\u6599&#xff0c;\u6211\u4eec\u7684\u601d\u8003\u951a\u5b9a\u5728\u4e86\u201d\u7a7f\u73e0\u5b50\u201c\u8fd9\u4e00\u4e2a\u52a8\u4f5c\u4e0a&#xff0c;\u6216\u8bb8\u4f60\u60f3\u8bf4&#xff0c;\u4e3a\u4ec0\u4e48\u7528\u8fd9\u4e48\u8822\u7684\u529e\u6cd5&#xff0c;\u660e\u660e\u521a\u624d\u6211\u4eec\u5c31\u5df2\u7ecf\u5b9e\u73b0\u4e86\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868\u7684\u5408\u5e76\u64cd\u4f5c&#xff0c;\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u5b83\u3002\u7684\u786e&#xff0c;\u4f46\u8fd9\u662f\u7531\u4e8e\u672c\u6587\u7684\u523b\u610f\u5b89\u6392&#xff0c;\u5982\u679c\u4f60\u5934\u4e00\u6b21\u9047\u5230\u5408\u5e76\u6709\u5e8f\u94fe\u8868\u7684\u9898\u5c31\u662fk\u7ec4\u5462&#xff1f;\u8fd9\u4e0d\u662f\u94bb\u725b\u89d2\u5c16\u3001\u601d\u7ef4\u6d01\u7656&#xff0c;\u800c\u662f\u7684\u786e\u6709\u4ef7\u503c\u7684\u601d\u8003\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if (listsSize &lt;&#061; 0) return NULL;<br \/>\n    ListNode* head &#061; lists[0];<br \/>\n    for (int i &#061; 1; i &lt; listsSize; &#043;&#043;i) {<br \/>\n        head &#061; mergeTwoLists(head, lists[i]);<br \/>\n    }<br \/>\n    return head;<br \/>\n} <\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6O(k*n),\u7a7a\u95f4\u590d\u6742\u5ea6O(1)<\/p>\n<p>\u7531\u6b64\u53ef\u89c1&#xff0c;\u6b64\u9898\u82e5\u53ea\u662f\u60f3\u8981\u62ff\u5230AC&#xff0c;\u662f\u975e\u5e38\u7b80\u5355\u7684\u4e00\u4ef6\u4e8b&#xff0c;\u5b9e\u5728\u6709\u635f\u56f0\u96be\u9898\u7684\u8138\u9762&#xff08;\u7b11&#xff09;\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01tb2a4mv3d3h.png\" \/><\/p>\n<hr \/>\n<p>3.2.3 \u4f18\u5148\u961f\u5217\u6cd5&#xff08;\u6700\u5c0f\u5806\u5b9e\u73b0&#xff09;<\/p>\n<p>\u90a3\u4e48\u4e3a\u4ec0\u4e48\u6211\u4eec\u5199\u7684\u201c\u66b4\u529b\u4e32\u73e0\u6cd5\u201d&#xff0c;\u548c\u516c\u8ba4\u7684\u66b4\u529b\u8fed\u4ee3\u6cd5\u540c\u4e3a\u65f6\u95f4\u590d\u6742\u5ea6O(k*n),\u7ecf\u8fc7\u591a\u6b21\u6d4b\u9a8c&#xff0c;\u5374\u662f\u66b4\u529b\u8fed\u4ee3\u6cd5\u7a33\u5b9a\u5f97\u5feb\u5462?\u4e0d\u59a8\u4ee5k &#061; 10^4&#xff0c;\u6bcf\u4e2a\u94fe\u8868 500 \u4e2a\u8282\u70b9\u4e3a\u4f8b&#xff0c;\u8ba1\u7b97\u4e00\u4e0b\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01uydk1ixzesa.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" class=\"mathcode\" src=\"2026-02-01uh0r1qrh3df.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" class=\"mathcode\" src=\"2026-02-01bcbv3ow5rnn.png\" \/><\/p>\n<p>\u800c\u4e14&#xff0c;\u8d8a\u662f\u94fe\u8868\u6570\u76f8\u5bf9\u66f4\u5927&#xff0c;\u94fe\u8868\u8282\u70b9\u6570\u76f8\u5bf9\u66f4\u5c0f\u7684\u60c5\u51b5&#xff0c;\u66b4\u529b\u8fed\u4ee3\u7684\u91cd\u590d\u904d\u5386&#xff08;\u6bcf\u6b21\u5408\u5e76\u4e24\u4e2a\u94fe\u8868\u4e4b\u540e&#xff0c;\u65b0\u94fe\u8868\u7684\u6bcf\u4e2a\u5df2\u7ecf\u88ab\u904d\u5386\u8fc7\u7684\u8282\u70b9\u5728\u548c\u4e0b\u4e2a\u94fe\u8868\u5408\u5e76\u65f6\u53c8\u88ab\u91cd\u590d\u904d\u5386\u4e00\u6b21&#xff09;\u7684\u516c\u5dee\u5c31\u8d8a\u5c0f&#xff0c;\u52a3\u52bf\u5c31\u8d8a\u4e0d\u660e\u663e\u3002\u800c\u201d\u66b4\u529b\u4e32\u73e0\u6cd5\u201c\u627e\u5230\u5b9e\u9645\u6700\u5c0f\u503c\u65f6&#xff0c;\u6211\u4eec\u627e\u51fa\u7b2c\u4e00\u6b21\u6700\u5c0f\u503c\u8fc7\u540e&#xff0c;\u5c31\u5f80\u4e86\u5176\u4ed6\u6570\u4e4b\u95f4\u7684\u5927\u5c0f\u5173\u7cfb&#xff0c;\u4e3a\u4e86\u90a3\u66f4\u65b0\u7684\u4e00\u4e2a\u6570&#xff0c;\u53c8\u91cd\u65b0\u904d\u5386\u4e86\u4e00\u6b21\u3002\u90a3\u6211\u4eec\u4f18\u5316\u7684\u65b9\u5411\u5c31\u8f6c\u53d8\u4e3a\u4f18\u5316\u91cd\u590d\u627e\u6700\u5c0f\u503c\u7684\u8fc7\u7a0b\u3002\u8fd9\u91cc\u5c31\u5f15\u51fa\u4e86\u8d2a\u5fc3\u7b97\u6cd5&#xff08;\u4f18\u5148\u961f\u5217&#xff09;\u3002\u6211\u4eec\u5148\u770b\u4e0b\u9762\u8fd9\u4e2a\u60c5\u5883&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01pgwqepcs1qd.jpg\" \/><\/p>\n<p>\u73b0\u6709\u4e00\u767e\u9897\u6843\u5b50\u3002\u7334\u7237\u7237\u53ea\u8ba9\u7334\u5b50\u5403\u4e00\u4e2a\u6843&#xff0c;\u7334\u5b50\u662f\u4e2a\u6025\u6027\u5b50&#xff0c;\u65e2\u60f3\u8981\u5403\u6700\u5927\u7684\u6843&#xff0c;\u53c8\u60f3\u8981\u6700\u5feb\u6bd4\u5bf9\u51fa\u54ea\u4e2a\u6843\u5b50\u6700\u5927\u3002\u53ea\u8ba1\u5206\u8fa8\u6843\u5b50\u5927\u5c0f\u7684\u65f6\u95f4&#xff0c;\u4ed6\u5e94\u8be5\u600e\u4e48\u505a\u80fd\u6700\u5feb\u627e\u5230\u6700\u5927\u7684\u6843\u5b50\u5462&#xff1f;<\/p>\n<p>\u6ca1\u9519&#xff0c;\u6211\u4eec\u521a\u624d\u7684\u601d\u8def\u5c31\u662f\u8ba9\u7334\u5b50\u62ff\u7740\u5b83\u89c1\u5230\u7684\u6700\u5927\u6843\u4e00\u76f4\u548c\u4e0b\u4e00\u4e2a\u6bd4\u5bf9&#xff0c;\u76f4\u5230\u89c1\u8fc7\u5168\u90e8\u7684\u6843\u5b50\u3002\u603b\u5171\u6bd4\u5bf9\u4e8699\u6b21\u3002\u8fd9\u4e5f\u7684\u786e\u662f\u7406\u8bba\u4e0a\u7684\u6700\u4f18\u89e3\u3002\u4f46\u5408\u5e76k\u7ec4\u94fe\u8868\u7684\u60c5\u51b5\u4e5f\u662f\u5982\u6b64\u5417&#xff1f;\u5e76\u4e0d\u662f&#xff0c;\u6025\u7334\u5b50\u6458\u6843\u7684\u60c5\u666f\u4e2d&#xff0c;\u7334\u5b50\u6bcf\u6b21\u6bd4\u5bf9\u6311\u51fa\u6700\u5927\u7684\u6843\u8fc7\u540e&#xff0c;\u5c31\u53ea\u526999\u9897\u6843\u4e86\u3002\u8fd9\u662f\u4e00\u4e2a\u9759\u6001\u7684\u8fc7\u7a0b&#xff0c;\u90a3\u5982\u679c\u7334\u5b50\u5403\u5b8c\u8fd8\u60f3\u5403\u6700\u5927\u7684\u6843\u5b50\u5462&#xff1f;\u5b83\u53c8\u5f97\u8981\u631198\u6b21\u3002\u800c\u4e14&#xff0c;\u7334\u5b50\u6311\u6843\u662f\u8d8a\u6311\u8d8a\u5c11&#xff0c;\u800c\u6211\u4eec\u6311\u6700\u5c0f\u503c\u540e&#xff0c;\u5982\u679c\u88ab\u6311\u94fe\u8868\u6ca1\u6709\u7a7a&#xff0c;\u6bcf\u6b21\u8981\u6311\u7684\u603b\u6570\u4ecd\u7136\u4e0d\u53d8\u3002\u8fd9\u5c31\u50cf\u6bcf\u6b21\u7334\u5b50\u6311\u5b8c\u4e00\u4e2a\u6700\u5927\u6843\u4e4b\u540e&#xff0c;\u53c8\u4f1a\u5b83\u62ff\u6843\u7684\u4f4d\u7f6e\u8865\u4e0a\u4e00\u4e2a\u548c\u521a\u624d\u4e00\u6837\u5927\u6216\u8005\u6bd4\u521a\u624d\u5c0f\u7684\u6843\u5b50\u3002\u8fd9\u662f\u4e00\u4e2a\u52a8\u6001\u7684\u8fc7\u7a0b&#xff0c;\u4f1a\u4e0d\u65ad\u6709\u6843\u5b50\u8865\u5145\u8fdb\u6765\u3002\u8fd9\u4e2a\u65f6\u5019\u904d\u5386\u6240\u6709\u6843\u5b50\u5c31\u4e0d\u518d\u662f\u6700\u4f18\u89e3&#xff0c;\u5373\u4fbf\u9759\u6001&#xff0c;\u5982\u679c\u6025\u7334\u5b50\u60f3\u8981\u6309\u4ece\u5927\u5230\u5c0f\u7684\u987a\u5e8f\u5403\u5b8c&#xff0c;\u76f4\u63a5\u904d\u5386\u4e5f\u7edd\u4e0d\u4f1a\u662f\u6700\u4f18\u89e3&#xff0c;\u3002\u8fd9\u6b63\u662f\u6211\u4eec\u7684\u201d\u66b4\u529b\u4e32\u73e0\u6cd5\u201c\u6162\u7684\u771f\u6b63\u539f\u56e0\u3002<\/p>\n<p>\u65e2\u7136\u95ee\u9898\u51fa\u73b0\u5728\u6ca1\u6709\u8bb0\u5fc6\u4e0a&#xff0c;\u90a3\u6211\u4eec\u53ea\u8981\u8bb0\u4f4f\u62ff\u8d70\u7684\u6570\u5bf9\u5e94\u7684\u4e0b\u6807\u8fd8\u6709\u7b2c\u4e8c\u540d\u4e0b\u6807&#xff0c;\u5224\u65ad\u65b0\u589e\u6570\u548c\u521a\u624d\u6700\u5c0f\u503c\u662f\u5426\u76f8\u7b49&#xff0c;\u82e5\u76f8\u7b49&#xff0c;\u5c31\u76f4\u63a5\u53d6\u8fd9\u4e2a\u6570&#xff0c;\u5426\u5219\u5c31\u4e0e\u7b2c\u4e8c\u540d\u8fdb\u884c\u6bd4\u8f83&#xff0c;\u62ff\u8d70\u66f4\u5c0f\u503c\u3002\u8fd9\u6837&#xff0c;\u6211\u4eec\u7684\u786e\u5b8c\u6210\u4e86\u4e00\u5b9a\u7a0b\u5ea6\u7684\u4f18\u5316&#xff0c;\u7701\u53bb\u4e86\u90e8\u5206\u91cd\u590d\u6b21\u6570\u3002\u4f46\u65f6\u95f4\u590d\u6742\u5ea6\u4ecd\u7136\u4e3aO(k*n)\u3002\u56e0\u4e3a\u6211\u4eec\u5728\u7528\u8fc7\u4e86\u7b2c\u4e8c\u540d\u4e4b\u540e&#xff0c;\u53c8\u5f97\u91cd\u65b0\u904d\u5386\u4e00\u6b21&#xff0c;\u627e\u51fa\u7b2c\u4e00\u540d\u548c\u7b2c\u4e8c\u540d\u51fa\u6765\u3002\u65e2\u7136\u8fd9\u4e48\u8d39\u4e8b&#xff0c;\u6211\u4eec\u5e72\u8106\u7528\u4e00\u4e2a\u5bb9\u5668\u628a\u8fd9\u4e2a\u987a\u5e8f\u6682\u65f6\u5b58\u8d77\u6765\u3002\u8fd9\u6837\u8d77\u7801\u4f1a\u6709O(k)\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u3002\u6211\u53ef\u4ee5\u76f4\u63a5\u544a\u8bc9\u5927\u5bb6\u7ed3\u8bba&#xff0c;\u8fd9\u4e2a\u4f18\u5316\u65b9\u5411\u5c31\u662f\u3010\u4f18\u5148\u961f\u5217\u3011\u7684\u5c0f\u6839\u5806\u5b9e\u73b0\u3002\u4f46\u7531\u4e8e\u6d89\u53ca\u4e8c\u53c9\u6811\u3001\u5806\u6392\u5e8f&#xff0c;\u4e14\u63a5\u4e0b\u6765\u8fd8\u9700\u4ecb\u7ecd\u5206\u6cbb\u601d\u60f3&#xff0c;\u672c\u6587\u91cd\u70b9\u8ba8\u8bba\u94fe\u8868\u8303\u56f4&#xff0c;\u81f3\u6b64\u4e5f\u670911794\u5b57&#xff0c;\u5c31\u7559\u7ed9\u4ee5\u540e\u6709\u673a\u4f1a\u518d\u6765\u804a\u804a\u4e86\u3002<\/p>\n<hr \/>\n<p>3.2.4 \u5206\u6cbb\u5408\u5e76\u6cd5&#xff08;\u8fed\u4ee3\u5b9e\u73b0-\u81ea\u5e95\u5411\u4e0a&#xff09;<\/p>\n<p>\u6211\u4eec\u6682\u65f6\u653e\u4e0b\u4f18\u5316\u201d\u66b4\u529b\u4e32\u73e0\u6cd5\u201c\u6765\u601d\u8003\u66b4\u529b\u8fed\u4ee3\u6cd5\u5982\u4f55\u4f18\u5316&#xff0c;\u5148\u770b\u8fd9\u5f20\u56fe\u3002<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01afrepoaouei.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4ece\u56fe\u4e2d\u6211\u4eec\u5c31\u80fd\u76f4\u89c2\u611f\u53d7\u5230\u8fd9\u79cd\u66b4\u529b\u65b9\u6cd5\u7684\u65e0\u529b&#xff0c;\u8fd9\u8fd8\u53ea\u662f5\u7ec4\u94fe\u8868\u3002\u770b\u5230\u8fd9\u5f20\u56fe\u65f6&#xff0c;\u4e0d\u77e5\u4f60\u662f\u5426\u4f1a\u4e0b\u610f\u8bc6\u60f3\u8981\u5730\u591a\u7528\u51e0\u4e2adummy\u8282\u70b9\u53bb\u628a\u8fd9\u4e9b\u201d\u6563\u5f00\u7684\u62c9\u94fe\u201c\u62c9\u597d\u3002\u76f4\u89c9\u544a\u8bc9\u6211\u4eec&#xff0c;\u8fd9\u79cd\u65b9\u6cd5\u4e00\u5b9a\u6548\u7387\u6bd4\u4e00\u4e2a\u4e00\u4e2a\u5408\u8981\u9ad8\u5f97\u591a\u3002\u76f4\u89c9\u5f88\u591a\u65f6\u5019\u5e76\u4e0d\u53ef\u9760&#xff0c;\u6211\u4eec\u53ef\u4ee5\u5c1d\u8bd5\u5efa\u7acb\u6570\u5b66\u6a21\u578b&#xff0c;\u5982\u679c\u8fd9\u4e2a\u76f4\u89c9\u51c6\u786e&#xff0c;\u90a3\u4e48\u6700\u540e\u80af\u5b9a\u80fd\u5f97\u5230\u4e00\u4e2a\u4e0d\u7b49\u5f0f\u3002<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" class=\"mathcode\" src=\"2026-02-015kv3gn1xqti.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8fd9\u662f\u3010\u77e9\u9635\u94fe\u4e58\u6cd5\u4ee3\u4ef7\u4e0d\u7b49\u5f0f\u3011&#xff08;Matrix Chain Multiplication Cost Inequality&#xff09;\u7684\u4e00\u79cd\u53d8\u5f62\u3002\u4e5f\u662f\u5f52\u5e76\u6392\u5e8f\u6548\u7387\u9ad8\u4e8e\u5192\u6ce1\/\u63d2\u5165\u6392\u5e8f\u7684\u62bd\u8c61\u672c\u8d28\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4ec5\u9700\u4e86\u89e3&#xff0c;\u548c\u6211\u4eec\u505a\u9898\u5b8c\u5168\u6ca1\u6709\u5173\u7cfb&#xff0c;\u6211\u4eec\u53ea\u9700\u8981\u6839\u636e\u76f4\u89c9\u7ee7\u7eed\u4f18\u5316\u5373\u53ef\u3002\u5f88\u5bb9\u6613\u60f3\u5230\u8fd9\u6837\u4e00\u79cd\u9012\u5f52\u7684\u5b9e\u73b0\u65b9\u5f0f&#xff1a;\u6211\u4eec\u5c06\u7b2c\u4e00\u7ec4\u4e24\u4e2a\u5408\u5e76\u4e4b\u540e&#xff0c;\u5269\u4e0b\u90a3\u4e9b\u94fe\u8868\u8fd8\u8981\u6211\u4eec\u7ee7\u7eed\u5408\u5e76&#xff0c;\u5728\u6211\u4eec\u770b\u6765&#xff0c;\u4ed6\u4eec\u5c31\u662f\u53e6\u5916\u4e00\u5806k\u7ec4\u94fe\u8868\u3002\u5b9e\u73b0\u4e86\u5355\u5143\u6b65\u9aa4\u4e4b\u540e\u5c31\u80fd\u76f4\u63a5\u901a\u8fc7\u5927\u7ed3\u6784\u62c6\u6210\u5c0f\u7684\u76f8\u540c\u7ed3\u6784\u7684\u903b\u8f91&#xff0c;\u76f4\u63a5\u901a\u8fc7\u9012\u5f52\u5b9e\u73b0\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if(listsSize &#061;&#061; 0) return NULL;<br \/>\n    if(listsSize &lt;&#061; 1) return lists[0];<br \/>\n    int mergeSize &#061; 0;<br \/>\n    for(int i &#061; 0; i &lt; listsSize; i &#043;&#061; 2){<br \/>\n    if (i &#043; 1 &lt;&#061; listsSize &#8211; 1) {<br \/>\n            lists[mergeSize&#043;&#043;] &#061; mergeTwoLists(lists[i], lists[i &#043; 1]);<br \/>\n        }else{<br \/>\n            lists[mergeSize&#043;&#043;] &#061; lists[i];<br \/>\n        }<br \/>\n    }<br \/>\n    return mergeKLists(lists,mergeSize);<br \/>\n} <\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01bazjk3e0u03.png\" \/><\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6O(n*log k ),\u7a7a\u95f4\u590d\u6742\u5ea6O(log k)&#xff0c;\u4f46\u8fd9\u5e76\u975e\u9012\u5f52&#xff0c;\u4e25\u683c\u6765\u8bf4\u4ecd\u7136\u662f\u3010\u81ea\u5e95\u5411\u4e0a\u7684\u8fed\u4ee3\u5f0f\u5206\u6cbb\u3011 &#xff0c;\u53eb\u8fed\u4ee3\u5f0f\u662f\u56e0\u4e3a\u8fd9\u4e2a\u601d\u8def\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u8ddf\u4ee5\u5f80\u6211\u4eec\u501f\u52a9\u6808\u5e27\u7684\u60c5\u51b5\u4e0d\u540c\u3002\u662f\u6211\u4eec\u4e3a\u4e86\u4ee3\u7801\u7b80\u6d01\u51fa\u73b0\u7684&#xff0c;\u6211\u4eec\u5b8c\u5168\u53ef\u4ee5\u4f18\u5316\u5b83\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if(listsSize &#061;&#061; 0) return NULL;<br \/>\n    while(listsSize &gt; 1){<br \/>\n    int mergeSize &#061; 0;<br \/>\n        for(int i &#061; 0; i &lt; listsSize; i &#043;&#061; 2){<br \/>\n            if (i &#043; 1 &lt;&#061; listsSize &#8211; 1) {<br \/>\n                lists[mergeSize&#043;&#043;] &#061; mergeTwoLists(lists[i], lists[i &#043; 1]);<br \/>\n            }else{<br \/>\n                lists[mergeSize&#043;&#043;] &#061; lists[i];<br \/>\n            }<br \/>\n        }<br \/>\n        listsSize &#061; mergeSize;<br \/>\n    }<br \/>\n    return lists[0];<br \/>\n} <\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6O(n*log k),\u7a7a\u95f4\u590d\u6742\u5ea6O(1)\u3002<\/p>\n<hr \/>\n<p>3.2.5\u5206\u6cbb\u5408\u5e76\u6cd5&#xff08;\u9012\u5f52\u5b9e\u73b0-\u81ea\u9876\u5411\u4e0b&#xff09;<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4e4b\u6240\u4ee5\u79f0\u4e4b\u4e3a\u81ea\u5e95\u5411\u4e0a&#xff0c;\u662f\u56e0\u4e3a\u6211\u4eec\u5c06k\u7ec4\u4e24\u4e24\u5408\u5e76\u7684\u8fc7\u7a0b\u5c06\u5e95\u90e8\u5206\u4e3a\u4e24\u4e24\u4e00\u7ec4\u3002\u5373\u4e3a\u5206\u6cbb&#xff0c;\u7136\u540e\u9010\u6e10\u5408\u5e76\u6210\u4e00\u4e2a\u94fe\u8868&#xff0c;\u5373\u4e3a\u5408\u5e76\u3002\u8fd9\u4e5f\u5c31\u662f\u5206\u6cbb\u5408\u5e76\u6cd5\u7684\u7cbe\u9ad3<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-01jpw3yesi4po.png\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4f60\u53ef\u80fd\u4f1a\u60f3&#xff0c;\u81ea\u5e95\u5411\u4e0a\u597d\u7406\u89e3&#xff0c;\u53ef\u662f\u81ea\u9876\u5411\u4e0b\u53c8\u662f\u600e\u4e48\u56de\u4e8b&#xff0c;\u8fd9\u4e2a\u9876\u4e0d\u6b63\u662f\u6211\u4eec\u7684\u76ee\u6807\u5417&#xff1f;\u8bf4\u5f97\u597d&#xff0c;\u5982\u679c\u53ea\u662f\u6392\u5e8f\u4e00\u4e2a\u94fe\u8868\u7684\u8bdd&#xff0c;\u6211\u4eec\u81ea\u9876\u5411\u4e0b\u5730\u62c6\u5206&#xff0c;\u518d\u5408\u5e76\u3002\u4e5f\u5c31\u662f\u5f52\u5e76\u6392\u5e8f&#xff0c;\u8fd9\u6b63\u662f\u81ea\u9876\u5411\u4e0b\u7684\u6700\u597d\u4f53\u73b0\u3002\u4f46\u5e76\u5728\u8fd9\u4e0d\u662f\u4e0d\u80fd\u4f7f\u7528\u81ea\u9876\u5411\u4e0b\u3002\u8fd9\u975e\u662f\u4e00\u4e2a\u987a\u5e8f\u95ee\u9898&#xff0c;\u8fd8\u8bb0\u5f97\u6211\u4eec\u5728\u89e3\u51b3\u53cd\u8f6c\u94fe\u8868\u65f6&#xff0c;\u4ece\u5934\u5230\u5c3e\u548c\u4ece\u5c3e\u5230\u5934\u7684\u4e24\u79cd\u60c5\u51b5\u5417\u3002\u6211\u4eec\u4e00\u5f00\u59cb\u901a\u8fc7\u4ece\u5c3e\u5230\u5934&#xff0c;\u53d1\u73b0\u4e86\u53ef\u4ee5\u7528\u52a8\u6001\u6570\u7ec4\u5b58\u4e0b\u6307\u9488&#xff0c;\u8fdb\u800c\u53d1\u73b0\u4e86\u9012\u5f52\u7684\u672c\u8d28\u4f5c\u7528\u3002\u5e76\u4e14\u5b9e\u9645\u60c5\u51b5\u9012\u5f52\u662f\u5ef6\u8fdf\u64cd\u4f5c&#xff0c;\u5f53\u7ec8\u6b62\u6761\u4ef6\u89e6\u53d1\u65f6&#xff0c;\u518d\u56de\u6eaf\u6027\u5730\u5f00\u59cb\u64cd\u4f5c\u3002\u540e\u6765\u6211\u4eec\u901a\u8fc7\u5f3a\u884c\u987a\u5411\u904d\u5386\u53d1\u73b0\u4e86\u53cc\u6307\u9488\u8fed\u4ee3\u6cd5\u3002\u8fd9\u79cd\u611f\u89c9\u662f\u4e0d\u662f\u975e\u5e38\u76f8\u4f3c&#xff1f;\u6ca1\u9519\u3002\u6211\u4eec\u4ecd\u7136\u53ef\u4ee5\u5229\u7528\u9012\u5f52\u3002\u7528\u548c\u5f52\u5e76\u7c7b\u4f3c\u7684\u65b9\u6cd5\u6765\u81ea\u9876\u5411\u4e0b\u8fdb\u884c\u4e8c\u5206\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4e8c\u5206\u540c\u6837\u9700\u8981\u5904\u7406\u5947\u6570\u957f\u5ea6\u7684\u95ee\u9898&#xff0c;\u6240\u4ee5\u5f15\u5165\u53d8\u91cfleft\u3001mid\u3001right\u3002\u4e3a\u4e86\u9012\u5f52&#xff0c;\u901a\u5e38\u6211\u4eec\u4f1a\u5199\u4e00\u4e2a\u8f85\u52a9\u51fd\u6570helper\u65b9\u4fbf\u4e8c\u5206\u4e0b\u6807&#xff0c;\u56e0\u4e3a\u4f5c\u7b54\u63a5\u53e3\u7684\u53c2\u6570\u4e0d\u652f\u6301\u6211\u4eec\u4f20\u5165\u9012\u5f52\u66f4\u65b0\u53c2\u6570\u3002<\/p>\n<p>typedef struct ListNode ListNode;<br \/>\nListNode* mergeKListsHelper(ListNode** lists,int left,int right){<br \/>\n    if(left &gt; right) return NULL;<br \/>\n    if(left &#061;&#061; right) return lists[left];<br \/>\n    int mid &#061; (left&#043;right) \/ 2;<br \/>\n    ListNode* leftList &#061; mergeKListsHelper(lists, left, mid);<br \/>\n    ListNode* rightList &#061; mergeKListsHelper(lists, mid &#043; 1, right);<br \/>\n    return mergeTwoLists(leftList,rightList);<br \/>\n}<br \/>\nstruct ListNode* mergeKLists(struct ListNode** lists, int listsSize) {<br \/>\n    if(listsSize &#061;&#061; 0) return NULL;<br \/>\n    return mergeKListsHelper(lists,0,listsSize &#8211; 1);<br \/>\n} <\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"2026-02-01mkc2djdyg2d.png\" \/><\/p>\n<hr \/>\n<h3>\u4e09\u3001\u603b\u7ed3<\/h3>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u81f3\u6b64&#xff0c;\u9664\u4e86\u4f18\u5148\u961f\u5217\u7684\u65b9\u6cd5\u7531\u56e0\u7bc7\u5e45\u548c\u91cd\u70b9\u9650\u5236\u4e3a\u5c55\u5f00\u4ee5\u53ca\u66b4\u529b\u9012\u5f52\u7565\u53bb\u4e0d\u8bb2\u4ee5\u5916\u3002\u6211\u4eec\u5df2\u7ecf\u901a\u8fc7\u6478\u6e05\u8fd9\u4e09\u9053\u9898\u7684\u6240\u6709\u65b9\u6cd5&#xff0c;\u63a5\u4e0b\u6765\u5c31\u8ba9AI\u603b\u7ed3\u4e00\u4e0b&#xff1a;<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u672c\u6587\u901a\u8fc7 LeetCode 206.\u53cd\u8f6c\u94fe\u8868\u300121.\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868\u300123.\u5408\u5e76K\u4e2a\u5347\u5e8f\u94fe\u8868\u4e09\u9053\u7531\u6d45\u5165\u6df1\u7684\u9898\u76ee&#xff0c;\u62c6\u89e3\u4e86\u94fe\u8868\u9898\u7684\u89e3\u9898\u903b\u8f91\u3001\u4f18\u5316\u8def\u5f84&#xff0c;\u6838\u5fc3\u4e0d\u4ec5\u662f\u638c\u63e1\u5177\u4f53\u9898\u89e3&#xff0c;\u66f4\u5728\u4e8e\u642d\u5efa\u201c\u4ece\u76f4\u89c9\u601d\u8def\u5230\u6700\u4f18\u89e3\u6cd5\u201d\u7684\u8fa9\u8bc1\u601d\u8003\u6846\u67b6&#xff0c;\u5f62\u6210\u53ef\u590d\u7528\u7684\u7b97\u6cd5\u89e3\u9898\u601d\u7ef4&#xff0c;\u4ee5\u4e0b\u662f\u6838\u5fc3\u603b\u7ed3\u3002<\/p>\n<h3>1. 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206&#xff09;<\/h4>\n<p>\u6838\u5fc3\u8003\u70b9&#xff1a;\u6307\u9488\u65b9\u5411\u8c03\u6574\u3001\u8282\u70b9\u904d\u5386\u4e0e\u4fdd\u62a4&#xff0c;\u6838\u5fc3\u76ee\u6807\u662f\u5b9e\u73b0\u201c\u539f\u5730\u53cd\u8f6c\u201d\u4ee5\u4f18\u5316\u7a7a\u95f4\u5f00\u9500\u3002<\/p>\n<ul>\n<li>\n<p>\u601d\u8def\u6f14\u8fdb&#xff1a;\u4ece\u201c\u5c3e\u5230\u5934\u8bfb\u53d6\u91cd\u5efa\u94fe\u8868\u201d\u7684\u66b4\u529b\u601d\u8def&#xff08;O(n\u00b2)\u65f6\u95f4\u3001O(n)\u7a7a\u95f4&#xff09;&#xff0c;\u9010\u6b65\u4f18\u5316\u4e3a\u6b63\u5411\u904d\u5386\u7684\u5934\u63d2\u6cd5&#xff0c;\u6700\u7ec8\u843d\u5730\u53cc\u6307\u9488\u8fed\u4ee3\u6cd5&#xff0c;\u5b9e\u73b0\u65f6\u95f4O(n)\u3001\u7a7a\u95f4O(1)\u7684\u6700\u4f18\u89e3&#xff1b;\u540c\u65f6\u884d\u751f\u51fa\u9012\u5f52\u6cd5&#xff0c;\u867d\u903b\u8f91\u7b80\u6d01\u4f46\u5b58\u5728\u6808\u6ea2\u51fa\u98ce\u9669&#xff08;\u7a7a\u95f4O(n)&#xff09;&#xff0c;\u5de5\u7a0b\u4e2d\u4e0d\u63a8\u8350\u4f7f\u7528\u3002<\/p>\n<\/li>\n<li>\n<p>\u5173\u952e\u7a81\u7834&#xff1a;\u901a\u8fc7\u4e34\u65f6\u6307\u9488\u4fdd\u62a4\u540e\u7eed\u8282\u70b9&#xff0c;\u907f\u514d\u6307\u9488\u53cd\u8f6c\u65f6\u94fe\u8868\u65ad\u88c2&#xff1b;\u53cc\u6307\u9488&#xff08;prev\/curr&#xff09;\u7684\u6838\u5fc3\u662f\u201c\u540c\u901f\u904d\u5386\u3001\u5206\u6b65\u53cd\u8f6c\u201d&#xff0c;next\u4ec5\u4f5c\u4e3a\u4e34\u65f6\u53d8\u91cf&#xff0c;\u5398\u6e05\u201c\u53cc\u6307\u9488\u201d\u7684\u5b9a\u4e49\u8fb9\u754c&#xff0c;\u907f\u514d\u6df7\u6dc6\u4e09\u6307\u9488\u6982\u5ff5\u3002<\/p>\n<\/li>\n<li>\n<p>\u6838\u5fc3\u65b9\u6cd5&#xff1a;\u53cc\u6307\u9488\u8fed\u4ee3\u6cd5&#xff08;\u6700\u4f18&#xff09;\u3001\u5934\u63d2\u6cd5&#xff08;\u903b\u8f91\u76f4\u89c2&#xff09;\u3001\u9012\u5f52\u6cd5&#xff08;\u601d\u7ef4\u62d3\u5c55&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<h4>1.2 \u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868&#xff08;LeetCode 21&#xff09;<\/h4>\n<p>\u6838\u5fc3\u8003\u70b9&#xff1a;\u6709\u5e8f\u7ed3\u6784\u7684\u904d\u5386\u5bf9\u6bd4\u3001\u94fe\u8868\u62fc\u63a5&#xff0c;\u6838\u5fc3\u76ee\u6807\u662f\u7b80\u5316\u903b\u8f91\u3001\u907f\u514d\u5197\u4f59\u64cd\u4f5c\u3002<\/p>\n<ul>\n<li>\n<p>\u601d\u8def\u6f14\u8fdb&#xff1a;\u4ece\u201c\u6307\u5b9a\u4e3b\u94fe\u63d2\u5165\u526f\u94fe\u201d\u7684\u76f4\u89c9\u601d\u8def&#xff08;\u5b58\u5728\u4e3b\u94fe\u7ef4\u62a4\u7684\u5197\u4f59\u903b\u8f91&#xff09;&#xff0c;\u4f18\u5316\u4e3a\u201c\u5bf9\u79f0\u5bf9\u6bd4\u201d\u7684\u8fed\u4ee3\u6cd5&#xff0c;\u501f\u52a9\u865a\u62df\u5934\u8282\u70b9&#xff08;\u54d1\u5143\u8282\u70b9&#xff09;\u89e3\u51b3\u5934\u6307\u9488\u6613\u4f4d\u95ee\u9898&#xff0c;\u7edf\u4e00\u7a7a\u8868\u4e0e\u975e\u7a7a\u8868\u7684\u64cd\u4f5c\u903b\u8f91\u3002<\/p>\n<\/li>\n<li>\n<p>\u5173\u952e\u7a81\u7834&#xff1a;\u6452\u5f03\u201c\u4e3b\u94fe\u601d\u7ef4\u201d&#xff0c;\u91c7\u7528\u201c\u8c01\u5c0f\u5148\u6307\u5411\u8c01\u201d\u7684\u5bf9\u79f0\u903b\u8f91&#xff0c;\u7b80\u5316\u6761\u4ef6\u5224\u65ad&#xff1b;\u865a\u62df\u5934\u8282\u70b9\u7684\u7075\u6d3b\u8fd0\u7528&#xff0c;\u907f\u514d\u5355\u72ec\u5904\u7406\u5934\u8282\u70b9\u63d2\u5165\u7684\u8fb9\u754c\u60c5\u51b5&#xff0c;\u964d\u4f4e\u4ee3\u7801\u590d\u6742\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u6838\u5fc3\u65b9\u6cd5&#xff1a;\u53cc\u6307\u9488&#043;\u865a\u62df\u5934\u8282\u70b9&#xff08;\u6700\u4f18&#xff0c;O(n&#043;m)\u65f6\u95f4\u3001O(1)\u7a7a\u95f4&#xff09;\u3001\u9012\u5f52\u6cd5&#xff08;\u903b\u8f91\u4f18\u7f8e\u4f46\u7a7a\u95f4O(max(n,m))&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<h4>1.3 \u5408\u5e76K\u4e2a\u5347\u5e8f\u94fe\u8868&#xff08;LeetCode 23&#xff09;<\/h4>\n<p>\u6838\u5fc3\u8003\u70b9&#xff1a;\u591a\u7ed3\u6784\u878d\u5408\u3001\u8d2a\u5fc3\u601d\u60f3\/\u5206\u6cbb\u601d\u60f3\u5e94\u7528&#xff0c;\u6838\u5fc3\u76ee\u6807\u662f\u4f18\u5316\u201c\u6700\u5c0f\u503c\u67e5\u627e\u201d\u7684\u6548\u7387&#xff0c;\u964d\u4f4e\u65f6\u95f4\u590d\u6742\u5ea6\u3002<\/p>\n<ul>\n<li>\n<p>\u601d\u8def\u6f14\u8fdb&#xff1a;\u4ece\u201c\u66b4\u529b\u4e32\u73e0\u6cd5\u201d&#xff08;\u9010\u4e00\u904d\u5386\u627e\u6700\u5c0f\u503c&#xff0c;O(kn)\u65f6\u95f4&#xff09;\u3001\u201c\u4e24\u4e24\u8fed\u4ee3\u5408\u5e76\u201d&#xff08;O(kn)\u65f6\u95f4&#xff09;&#xff0c;\u9010\u6b65\u4f18\u5316\u4e3a\u5206\u6cbb\u5408\u5e76\u6cd5&#xff0c;\u501f\u52a9\u201c\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u94fe\u8868\u201d\u7684\u57fa\u7840\u903b\u8f91&#xff0c;\u5c06\u95ee\u9898\u62c6\u89e3\u4e3a\u5b50\u95ee\u9898\u9012\u5f52\/\u8fed\u4ee3\u6c42\u89e3&#xff0c;\u5b9e\u73b0\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u81f3O(nlogk)\u3002<\/p>\n<\/li>\n<li>\n<p>\u5173\u952e\u7a81\u7834&#xff1a;\u5229\u7528\u5206\u6cbb\u601d\u60f3\u51cf\u5c11\u91cd\u590d\u904d\u5386&#xff0c;\u5c06K\u4e2a\u94fe\u8868\u7684\u5408\u5e76\u62c6\u89e3\u4e3alogk\u6b21\u201c\u4e24\u4e24\u5408\u5e76\u201d&#xff0c;\u89c4\u907f\u66b4\u529b\u65b9\u6cd5\u4e2d\u91cd\u590d\u6bd4\u5bf9\u7684\u5197\u4f59&#xff1b;\u540c\u65f6\u53ef\u901a\u8fc7\u4f18\u5148\u961f\u5217&#xff08;\u5c0f\u6839\u5806&#xff09;\u7ef4\u62a4\u6700\u5c0f\u503c&#xff0c;\u9002\u914d\u52a8\u6001K\u7684\u573a\u666f&#xff08;\u7a7a\u95f4O(k)&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u6838\u5fc3\u65b9\u6cd5&#xff1a;\u8fed\u4ee3\u5f0f\u5206\u6cbb&#xff08;\u6700\u4f18&#xff0c;O(nlogk)\u65f6\u95f4\u3001O(1)\u7a7a\u95f4&#xff09;\u3001\u9012\u5f52\u5f0f\u5206\u6cbb&#xff08;O(nlogk)\u65f6\u95f4\u3001O(logk)\u7a7a\u95f4&#xff09;\u3001\u4f18\u5148\u961f\u5217&#xff08;\u52a8\u6001\u573a\u666f\u9002\u914d&#xff09;\u3001\u66b4\u529b\u6cd5&#xff08;\u4ec5\u7528\u4e8eAC\u515c\u5e95&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>2. 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206(\u53cd\u8f6c\u94fe\u8868)\u300121&#xff08;\u5408\u5e76<\/p>\n","protected":false},"author":2,"featured_media":69757,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2692,3226,1813,427,2640],"topic":[],"class_list":["post-69777","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-leetcode","tag-3226","tag-1813","tag-427","tag-2640"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u3010\u4e07\u5b57\u89e3\u6790\u3011\u4ee5LeetCode 206\/21\/23\u94fe\u8868\u5fc5\u5237\u4e09\u9898\u4e3a\u4f8b\uff0c\u624b\u628a\u624b\u6559\u4f60\u62c6\u89e3\u94fe\u8868\u9898\u7684\u4f18\u5316\u601d\u8def(\u9644\u52a8\u56fe)-\u3010\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u3011- \u5b9e\u6218\u7bc7\uff08\u4e00\uff09 - 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