{"id":113620,"date":"2026-10-07T00:33:18","date_gmt":"2026-10-06T16:33:18","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/113620.html"},"modified":"2026-10-07T00:33:18","modified_gmt":"2026-10-06T16:33:18","slug":"leetcode-15-%e4%b8%89%e6%95%b0%e4%b9%8b%e5%92%8c%ef%bc%9a%e6%8e%92%e5%ba%8f-%e5%8f%8c%e6%8c%87%e9%92%88%e8%a7%a3%e6%b3%95%e8%af%a6%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/113620.html","title":{"rendered":"LeetCode 15. \u4e09\u6570\u4e4b\u548c\uff1a\u6392\u5e8f + \u53cc\u6307\u9488\u89e3\u6cd5\u8be6\u89e3"},"content":{"rendered":"<h3 style=\"text-align:justify\">\u4e00\u3001 \u9898\u76ee\u63cf\u8ff0&#xff08;\u9898\u76ee\u94fe\u63a5&#xff09;<\/h3>\n<p style=\"text-align:justify\">\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 nums&#xff0c;\u5224\u65ad\u662f\u5426\u5b58\u5728\u4e09\u5143\u7ec4 [nums[i], nums[j], nums[k]] \u6ee1\u8db3 i !&#061; j\u3001i !&#061; k \u4e14 j !&#061; k&#xff0c;\u540c\u65f6\u8fd8\u6ee1\u8db3 nums[i] &#043; nums[j] &#043; nums[k] &#061;&#061; 0\u3002\u8bf7\u4f60\u8fd4\u56de\u6240\u6709\u548c\u4e3a 0 \u4e14\u4e0d\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<\/p>\n<p style=\"text-align:justify\">\u6ce8\u610f&#xff1a;\u7b54\u6848\u4e2d\u4e0d\u53ef\u4ee5\u5305\u542b\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<\/p>\n<p style=\"text-align:justify\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"656\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261006163317-6ac522cd5a3d8.png\" width=\"692\" \/><\/p>\n<h3 style=\"text-align:justify\">\u4e8c\u3001 \u7b97\u6cd5\u601d\u8def&#xff1a;\u6392\u5e8f &#043; \u53cc\u6307\u9488<\/h3>\n<p style=\"text-align:justify\">\u672c\u9898\u7684\u6838\u5fc3\u96be\u70b9\u5728\u4e8e\u964d\u4f4e\u65f6\u95f4\u590d\u6742\u5ea6\u4ee5\u53ca\u7ed3\u679c\u53bb\u91cd\u3002\u66b4\u529b\u4e09\u91cd\u5faa\u73af\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(N^3)&#xff0c;\u5728\u6570\u636e\u91cf\u8f83\u5927\u65f6\u4f1a\u8d85\u65f6\u3002\u91c7\u7528\u6392\u5e8f &#043; \u53cc\u6307\u9488\u7684\u7b56\u7565&#xff0c;\u53ef\u4ee5\u5c06\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u81f3 O(N^2)\u3002<\/p>\n<h4 style=\"text-align:justify\">\u6838\u5fc3\u6b65\u9aa4<\/h4>\n<li>\n<p style=\"text-align:justify\">\u6570\u7ec4\u6392\u5e8f&#xff1a; \u9996\u5148\u5bf9\u6570\u7ec4\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f\u3002\u6392\u5e8f\u6709\u4e24\u4e2a\u5173\u952e\u4f5c\u7528&#xff1a;<\/p>\n<ul>\n<li>\n<p style=\"text-align:justify\">\u4fbf\u4e8e\u540e\u7eed\u4f7f\u7528\u53cc\u6307\u9488\u8fdb\u884c\u7ebf\u6027\u626b\u63cf\u3002<\/p>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u4fbf\u4e8e\u8df3\u8fc7\u91cd\u590d\u5143\u7d20&#xff0c;\u5b9e\u73b0\u7ed3\u679c\u53bb\u91cd\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u56fa\u5b9a\u7b2c\u4e00\u4e2a\u6570&#xff08;\u5916\u5c42\u5faa\u73af&#xff09;&#xff1a; \u904d\u5386\u6392\u5e8f\u540e\u7684\u6570\u7ec4&#xff0c;\u8bbe\u5f53\u524d\u7d22\u5f15\u4e3a i&#xff0c;\u5c06 nums[i] \u4f5c\u4e3a\u4e09\u5143\u7ec4\u7684\u7b2c\u4e00\u4e2a\u6570\u3002<\/p>\n<ul>\n<li>\n<p style=\"text-align:justify\">\u526a\u679d\u4f18\u5316&#xff1a;\u82e5 nums[i] &gt; 0&#xff0c;\u7531\u4e8e\u6570\u7ec4\u5df2\u5347\u5e8f&#xff0c;\u540e\u7eed\u6570\u5b57\u5fc5\u7136\u5927\u4e8e 0&#xff0c;\u4e09\u6570\u4e4b\u548c\u4e0d\u53ef\u80fd\u4e3a 0&#xff0c;\u76f4\u63a5\u7ec8\u6b62\u5faa\u73af\u3002<\/p>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u53bb\u91cd&#xff1a;\u82e5 i &gt; 0 \u4e14 nums[i] &#061;&#061; nums[i-1]&#xff0c;\u8bf4\u660e\u8be5\u6570\u503c\u5df2\u4f5c\u4e3a\u7b2c\u4e00\u4e2a\u6570\u5904\u7406\u8fc7&#xff0c;\u8df3\u8fc7\u5f53\u524d\u5faa\u73af&#xff0c;\u907f\u514d\u91cd\u590d\u89e3\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u53cc\u6307\u9488\u5bfb\u627e\u53e6\u5916\u4e24\u4e2a\u6570&#xff08;\u5185\u5c42\u5faa\u73af&#xff09;&#xff1a; \u5728 i \u4e4b\u540e\u7684\u533a\u95f4 [i&#043;1, n-1] \u4e2d&#xff0c;\u8bbe\u7f6e\u5de6\u6307\u9488 left &#061; i &#043; 1&#xff0c;\u53f3\u6307\u9488 right &#061; n &#8211; 1\u3002<\/p>\n<ul>\n<li>\n<p style=\"text-align:justify\">\u8ba1\u7b97 sum &#061; nums[i] &#043; nums[left] &#043; nums[right]\u3002<\/p>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u82e5 sum &#061;&#061; 0&#xff1a;\u627e\u5230\u4e00\u7ec4\u89e3&#xff0c;\u8bb0\u5f55\u7ed3\u679c\u3002\u968f\u540e\u5fc5\u987b\u8fdb\u884c\u53bb\u91cd&#xff1a;\u5de6\u6307\u9488\u8df3\u8fc7\u6240\u6709\u91cd\u590d\u503c&#xff0c;\u53f3\u6307\u9488\u8df3\u8fc7\u6240\u6709\u91cd\u590d\u503c&#xff0c;\u6700\u540e left&#043;&#043;\u3001right&#8211; \u7ee7\u7eed\u5bfb\u627e\u3002<\/p>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u82e5 sum &lt; 0&#xff1a;\u8bf4\u660e\u548c\u504f\u5c0f&#xff0c;\u9700\u8981\u589e\u5927&#xff0c;\u5de6\u6307\u9488\u53f3\u79fb&#xff08;left&#043;&#043;&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p style=\"text-align:justify\">\u82e5 sum &gt; 0&#xff1a;\u8bf4\u660e\u548c\u504f\u5927&#xff0c;\u9700\u8981\u51cf\u5c0f&#xff0c;\u53f3\u6307\u9488\u5de6\u79fb&#xff08;right&#8211;&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<h3 style=\"text-align:justify\">\u4e09\u3001 \u4ee3\u7801\u5b9e\u73b0 (C&#043;&#043;)<\/h3>\n<p>class Solution {<br \/>\npublic:<br \/>\n    vector&lt;vector&lt;int&gt;&gt; threeSum(vector&lt;int&gt;&amp; nums) {<br \/>\n        vector&lt;vector&lt;int&gt;&gt; result;<br \/>\n        int n &#061; nums.size();<\/p>\n<p>        \/\/ \u7279\u5224&#xff1a;\u5143\u7d20\u5c11\u4e8e3\u4e2a\u76f4\u63a5\u8fd4\u56de<br \/>\n        if (n &lt; 3) return result;<\/p>\n<p>        \/\/ 1. \u6392\u5e8f<br \/>\n        sort(nums.begin(), nums.end());<\/p>\n<p>        \/\/ 2. \u904d\u5386\u7b2c\u4e00\u4e2a\u6570<br \/>\n        for (int i &#061; 0; i &lt; n &#8211; 2; &#043;&#043;i) {<br \/>\n            \/\/ \u526a\u679d&#xff1a;\u7b2c\u4e00\u4e2a\u6570\u5927\u4e8e0&#xff0c;\u540e\u7eed\u4e0d\u53ef\u80fd\u51d1\u6210\u548c\u4e3a0<br \/>\n            if (nums[i] &gt; 0) break;<\/p>\n<p>            \/\/ \u53bb\u91cd&#xff1a;\u8df3\u8fc7\u91cd\u590d\u7684\u7b2c\u4e00\u4e2a\u6570<br \/>\n            if (i &gt; 0 &amp;&amp; nums[i] &#061;&#061; nums[i-1]) continue;<\/p>\n<p>            \/\/ 3. \u53cc\u6307\u9488\u5bfb\u627e\u53e6\u5916\u4e24\u4e2a\u6570<br \/>\n            int left &#061; i &#043; 1;<br \/>\n            int right &#061; n &#8211; 1;<\/p>\n<p>            while (left &lt; right) {<br \/>\n                int sum &#061; nums[i] &#043; nums[left] &#043; nums[right];<\/p>\n<p>                if (sum &#061;&#061; 0) {<br \/>\n                    result.push_back({nums[i], nums[left], nums[right]});<\/p>\n<p>                    \/\/ \u53bb\u91cd&#xff1a;\u8df3\u8fc7\u91cd\u590d\u7684\u5de6\u6307\u9488\u5143\u7d20<br \/>\n                    while (left &lt; right &amp;&amp; nums[left] &#061;&#061; nums[left &#043; 1]) left&#043;&#043;;<br \/>\n                    \/\/ \u53bb\u91cd&#xff1a;\u8df3\u8fc7\u91cd\u590d\u7684\u53f3\u6307\u9488\u5143\u7d20<br \/>\n                    while (left &lt; right &amp;&amp; nums[right] &#061;&#061; nums[right &#8211; 1]) right&#8211;;<\/p>\n<p>                    \/\/ \u627e\u5230\u89e3\u540e&#xff0c;\u6307\u9488\u540c\u65f6\u5411\u5185\u6536\u7f29<br \/>\n                    left&#043;&#043;;<br \/>\n                    right&#8211;;<br \/>\n                }<br \/>\n                else if (sum &lt; 0) {<br \/>\n                    left&#043;&#043;; \/\/ \u548c\u592a\u5c0f&#xff0c;\u5de6\u6307\u9488\u53f3\u79fb<br \/>\n                }<br \/>\n                else {<br \/>\n                    right&#8211;; \/\/ \u548c\u592a\u5927&#xff0c;\u53f3\u6307\u9488\u5de6\u79fb<br \/>\n                }<br \/>\n            }<br \/>\n        }<\/p>\n<p>        return result;<br \/>\n    }<br \/>\n}; <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"638\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261006163317-6ac522cd94048.png\" width=\"935\" \/><\/p>\n<h3 style=\"text-align:justify\">\u56db\u3001 \u590d\u6742\u5ea6\u5206\u6790<\/h3>\n<p style=\"text-align:justify\">\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(N2)<\/p>\n<p style=\"text-align:justify\">\u6570\u7ec4\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(Nlog\u2061N)\u3002<\/p>\n<p style=\"text-align:justify\">\u5916\u5c42\u5faa\u73af\u904d\u5386\u6570\u7ec4 O(N)&#xff0c;\u5185\u5c42\u53cc\u6307\u9488\u904d\u5386 O(N)&#xff0c;\u5d4c\u5957\u540e\u4e3a O(N^2)\u3002<\/p>\n<p style=\"text-align:justify\">\u7efc\u5408\u6765\u770b&#xff0c;\u4e3b\u5bfc\u9879\u4e3a O(N^2)\u3002<\/p>\n<p style=\"text-align:justify\">\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(log\u2061N)<\/p>\n<p style=\"text-align:justify\">\u4e3b\u8981\u53d6\u51b3\u4e8e\u6392\u5e8f\u7b97\u6cd5\u7684\u7a7a\u95f4\u6d88\u8017\u3002C&#043;&#043; \u7684 std::sort \u901a\u5e38\u91c7\u7528\u5185\u7701\u6392\u5e8f&#xff08;Introsort&#xff09;&#xff0c;\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a O(log\u2061N)\u3002\u9664\u8fd4\u56de\u503c\u5916&#xff0c;\u672a\u4f7f\u7528\u989d\u5916\u7684\u7ebf\u6027\u7a7a\u95f4\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001 \u9898\u76ee\u63cf\u8ff0&#xff08;\u9898\u76ee\u94fe\u63a5&#xff09;<br \/>\n\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 nums&#xff0c;\u5224\u65ad\u662f\u5426\u5b58\u5728\u4e09\u5143\u7ec4 [nums[i], nums[j], nums[k]] \u6ee1\u8db3 i ! j\u3001i ! k \u4e14 j ! k&#xff0c;\u540c\u65f6\u8fd8\u6ee1\u8db3 nums[i]  nums[j]  nums[k]  0\u3002\u8bf7\u4f60\u8fd4\u56de\u6240\u6709\u548c\u4e3a 0 \u4e14\u4e0d\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<br \/>\n\u6ce8\u610f&#xff1a;\u7b54\u6848\u4e2d\u4e0d\u53ef\u4ee5\u5305\u542b\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002 \u4e8c\u3001 \u7b97\u6cd5\u601d\u8def&#xff1a;\u6392\u5e8f  \u53cc\u6307\u9488<br \/>\n\u672c\u9898\u7684\u6838\u5fc3\u96be\u70b9\u5728\u4e8e\u964d\u4f4e\u65f6\u95f4\u590d\u6742<\/p>\n","protected":false},"author":2,"featured_media":113618,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2692,427,925],"topic":[],"class_list":["post-113620","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-leetcode","tag-427","tag-925"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>LeetCode 15. \u4e09\u6570\u4e4b\u548c\uff1a\u6392\u5e8f + \u53cc\u6307\u9488\u89e3\u6cd5\u8be6\u89e3 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/113620.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"LeetCode 15. \u4e09\u6570\u4e4b\u548c\uff1a\u6392\u5e8f + \u53cc\u6307\u9488\u89e3\u6cd5\u8be6\u89e3 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u4e00\u3001 \u9898\u76ee\u63cf\u8ff0&#xff08;\u9898\u76ee\u94fe\u63a5&#xff09; 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